octave-nkf: src/DLD-FUNCTIONS/eigs.cc annotate

annotate src/DLD-FUNCTIONS/eigs.cc @ 13219:cf5ebc0e47e4

fix warnings for unused but set variables and shadowed variables * quadcc.cc (Fquadcc): Delete unused variable err_excess. * find.cc (find_nonzero_elem_idx (const PermMatrix&, int, octave_idx_type, int)): Delete unused variable end_nc. * eigs.cc (Feigs): Delete unused variable bmat. * conv2.cc (Fconvn): Delete unused variable separable. * colamd.cc (Fetree, Fsymamd): Delete unused variable nnz. * ccolamd.cc (Fcsymamd): Delete unused variable nnz. * pt-pr-code.cc (tree_print_code::visit_index_expression): Delete unused variable expr_has_parens. * pt-mat.cc (tree_matrix::rvalue1): Delete unused variables all_complex_p and all_strings_p (tm_const::init): Eliminate shadowed variables. * gl-render.cc (opengl_renderer::draw_image): Delete unused variable ok.

author	John W. Eaton <jwe@octave.org>
date	Sun, 25 Sep 2011 16:52:23 -0400
parents	25d4e163ee38
children	72c96de7a403

rev	line source
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	2
11523 fd0a3ac60b0e update copyright notices John W. Eaton <jwe@octave.org> parents: 11044 diff changeset	3 Copyright (C) 2005-2011 David Bateman
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	4
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	5 This file is part of Octave.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	6
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	7 Octave is free software; you can redistribute it and/or modify it
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	8 under the terms of the GNU General Public License as published by the
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	9 Free Software Foundation; either version 3 of the License, or (at your
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	10 option) any later version.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	11
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	12 Octave is distributed in the hope that it will be useful, but WITHOUT
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	15 for more details.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	16
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	17 You should have received a copy of the GNU General Public License
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	18 along with Octave; see the file COPYING. If not, see
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	19 <http://www.gnu.org/licenses/>.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	20
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	21 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	22
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	23 #ifdef HAVE_CONFIG_H
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	24 #include <config.h>
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	25 #endif
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	26
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	27 #include "ov.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	28 #include "defun-dld.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	29 #include "error.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	30 #include "gripes.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	31 #include "quit.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	32 #include "variables.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	33 #include "ov-re-sparse.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	34 #include "ov-cx-sparse.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	35 #include "oct-map.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	36 #include "pager.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	37 #include "unwind-prot.h"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	38
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	39 #include "eigs-base.cc"
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	40
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	41 // Global pointer for user defined function.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	42 static octave_function *eigs_fcn = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	43
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	44 // Have we warned about imaginary values returned from user function?
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	45 static bool warned_imaginary = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	46
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	47 // Is this a recursive call?
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	48 static int call_depth = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	49
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	50 ColumnVector
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	51 eigs_func (const ColumnVector &x, int &eigs_error)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	52 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	53 ColumnVector retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	54 octave_value_list args;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	55 args(0) = x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	56
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	57 if (eigs_fcn)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	58 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	59 octave_value_list tmp = eigs_fcn->do_multi_index_op (1, args);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	60
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	61 if (error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	62 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	63 eigs_error = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	64 gripe_user_supplied_eval ("eigs");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	65 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	66 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	67
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	68 if (tmp.length () && tmp(0).is_defined ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	69 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	70 if (! warned_imaginary && tmp(0).is_complex_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	71 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	72 warning ("eigs: ignoring imaginary part returned from user-supplied function");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	73 warned_imaginary = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	74 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	75
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	76 retval = ColumnVector (tmp(0).vector_value ());
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	77
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	78 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	79 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	80 eigs_error = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	81 gripe_user_supplied_eval ("eigs");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	82 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	83 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	84 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	85 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	86 eigs_error = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	87 gripe_user_supplied_eval ("eigs");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	88 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	89 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	90
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	91 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	92 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	93
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	94 ComplexColumnVector
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	95 eigs_complex_func (const ComplexColumnVector &x, int &eigs_error)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	96 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	97 ComplexColumnVector retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	98 octave_value_list args;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	99 args(0) = x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	100
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	101 if (eigs_fcn)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	102 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	103 octave_value_list tmp = eigs_fcn->do_multi_index_op (1, args);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	104
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	105 if (error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	106 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	107 eigs_error = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	108 gripe_user_supplied_eval ("eigs");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	109 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	110 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	111
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	112 if (tmp.length () && tmp(0).is_defined ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	113 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	114 retval = ComplexColumnVector (tmp(0).complex_vector_value ());
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	115
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	116 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	117 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	118 eigs_error = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	119 gripe_user_supplied_eval ("eigs");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	120 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	121 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	122 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	123 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	124 eigs_error = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	125 gripe_user_supplied_eval ("eigs");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	126 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	127 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	128
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	129 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	130 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	131
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	132 DEFUN_DLD (eigs, args, nargout,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	133 "-- texinfo --\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	134 @deftypefn {Loadable Function} {@var{d} =} eigs (@var{A})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	135 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{k})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	136 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{k}, @var{sigma})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	137 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{k}, @var{sigma}, @var{opts})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	138 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	139 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B}, @var{k})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	140 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B}, @var{k}, @var{sigma})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	141 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B}, @var{k}, @var{sigma}, @var{opts})\n\
9724 f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	142 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n})\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	143 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B})\n\
9724 f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	144 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{k})\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	145 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B}, @var{k})\n\
9724 f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	146 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{k}, @var{sigma})\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	147 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B}, @var{k}, @var{sigma})\n\
9724 f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	148 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{k}, @var{sigma}, @var{opts})\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	149 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B}, @var{k}, @var{sigma}, @var{opts})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	150 @deftypefnx {Loadable Function} {[@var{V}, @var{d}] =} eigs (@var{A}, @dots{})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	151 @deftypefnx {Loadable Function} {[@var{V}, @var{d}] =} eigs (@var{af}, @var{n}, @dots{})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	152 @deftypefnx {Loadable Function} {[@var{V}, @var{d}, @var{flag}] =} eigs (@var{A}, @dots{})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	153 @deftypefnx {Loadable Function} {[@var{V}, @var{d}, @var{flag}] =} eigs (@var{af}, @var{n}, @dots{})\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	154 Calculate a limited number of eigenvalues and eigenvectors of @var{A},\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	155 based on a selection criteria. The number of eigenvalues and eigenvectors to\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	156 calculate is given by @var{k} and defaults to 6.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	157 \n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	158 By default, @code{eigs} solve the equation\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	159 @tex\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	160 $A \\nu = \\lambda \\nu$,\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	161 @end tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	162 @ifinfo\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	163 @code{A * v = lambda * v},\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	164 @end ifinfo\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	165 where\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	166 @tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	167 $\\lambda$ is a scalar representing one of the eigenvalues, and $\\nu$\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	168 @end tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	169 @ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	170 @code{lambda} is a scalar representing one of the eigenvalues, and @code{v}\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	171 @end ifinfo\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	172 is the corresponding eigenvector. If given the positive definite matrix\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	173 @var{B} then @code{eigs} solves the general eigenvalue equation\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	174 @tex\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	175 $A \\nu = \\lambda B \\nu$.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	176 @end tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	177 @ifinfo\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	178 @code{A * v = lambda * B * v}.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	179 @end ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	180 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	181 The argument @var{sigma} determines which eigenvalues are returned.\n\
10846 a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	182 @var{sigma} can be either a scalar or a string. When @var{sigma} is a\n\
a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	183 scalar, the @var{k} eigenvalues closest to @var{sigma} are returned. If\n\
a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	184 @var{sigma} is a string, it must have one of the following values.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	185 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	186 @table @asis\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	187 @item 'lm'\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	188 Largest Magnitude (default).\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	189 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	190 @item 'sm'\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	191 Smallest Magnitude.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	192 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	193 @item 'la'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	194 Largest Algebraic (valid only for real symmetric problems).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	195 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	196 @item 'sa'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	197 Smallest Algebraic (valid only for real symmetric problems).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	198 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	199 @item 'be'\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	200 Both Ends, with one more from the high-end if @var{k} is odd (valid only for\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	201 real symmetric problems).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	202 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	203 @item 'lr'\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	204 Largest Real part (valid only for complex or unsymmetric problems).\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	205 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	206 @item 'sr'\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	207 Smallest Real part (valid only for complex or unsymmetric problems).\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	208 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	209 @item 'li'\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	210 Largest Imaginary part (valid only for complex or unsymmetric problems).\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	211 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	212 @item 'si'\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	213 Smallest Imaginary part (valid only for complex or unsymmetric problems).\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	214 @end table\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	215 \n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	216 If @var{opts} is given, it is a structure defining possible options that\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	217 @code{eigs} should use. The fields of the @var{opts} structure are:\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	218 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	219 @table @code\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	220 @item issym\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	221 If @var{af} is given, then flags whether the function @var{af} defines a\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	222 symmetric problem. It is ignored if @var{A} is given. The default is false.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	223 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	224 @item isreal\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	225 If @var{af} is given, then flags whether the function @var{af} defines a\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	226 real problem. It is ignored if @var{A} is given. The default is true.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	227 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	228 @item tol\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	229 Defines the required convergence tolerance, calculated as\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	230 @code{tol * norm (A)}. The default is @code{eps}.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	231 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	232 @item maxit\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	233 The maximum number of iterations. The default is 300.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	234 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	235 @item p\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	236 The number of Lanzcos basis vectors to use. More vectors will result in\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	237 faster convergence, but a greater use of memory. The optimal value of\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	238 @code{p} is problem dependent and should be in the range @var{k} to @var{n}.\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	239 The default value is @code{2 * @var{k}}.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	240 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	241 @item v0\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	242 The starting vector for the algorithm. An initial vector close to the\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	243 final vector will speed up convergence. The default is for @sc{arpack}\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	244 to randomly generate a starting vector. If specified, @code{v0} must be\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	245 an @var{n}-by-1 vector where @code{@var{n} = rows (@var{A})}\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	246 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	247 @item disp\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	248 The level of diagnostic printout (0\|1\|2). If @code{disp} is 0 then\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	249 diagnostics are disabled. The default value is 0.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	250 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	251 @item cholB\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	252 Flag if @code{chol (@var{B})} is passed rather than @var{B}. The default is\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	253 false.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	254 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	255 @item permB\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	256 The permutation vector of the Cholesky@tie{}factorization of @var{B} if\n\
01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	257 @code{cholB} is true. That is @code{chol (@var{B}(permB, permB))}. The\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	258 default is @code{1:@var{n}}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	259 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	260 @end table\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	261 It is also possible to represent @var{A} by a function denoted @var{af}.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	262 @var{af} must be followed by a scalar argument @var{n} defining the length\n\
12642 f96b9b9f141b doc: Periodic grammarcheck and spellcheck of documentation. Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	263 of the vector argument accepted by @var{af}. @var{af} can be\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	264 a function handle, an inline function, or a string. When @var{af} is a\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	265 string it holds the name of the function to use.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	266 \n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	267 @var{af} is a function of the form @code{y = af (x)}\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	268 where the required return value of @var{af} is determined by\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	269 the value of @var{sigma}. The four possible forms are\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	270 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	271 @table @code\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	272 @item A * x\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	273 if @var{sigma} is not given or is a string other than 'sm'.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	274 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	275 @item A \\ x\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	276 if @var{sigma} is 0 or 'sm'.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	277 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	278 @item (A - sigma * I) \\ x\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	279 for the standard eigenvalue problem, where @code{I} is the identity matrix of\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	280 the same size as @var{A}.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	281 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	282 @item (A - sigma * B) \\ x\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	283 for the general eigenvalue problem.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	284 @end table\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	285 \n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	286 The return arguments of @code{eigs} depend on the number of return arguments\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	287 requested. With a single return argument, a vector @var{d} of length @var{k}\n\
10846 a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	288 is returned containing the @var{k} eigenvalues that have been found. With\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	289 two return arguments, @var{V} is a @var{n}-by-@var{k} matrix whose columns\n\
10846 a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	290 are the @var{k} eigenvectors corresponding to the returned eigenvalues. The\n\
a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	291 eigenvalues themselves are returned in @var{d} in the form of a\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	292 @var{n}-by-@var{k} matrix, where the elements on the diagonal are the\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	293 eigenvalues.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	294 \n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	295 Given a third return argument @var{flag}, @code{eigs} returns the status\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	296 of the convergence. If @var{flag} is 0 then all eigenvalues have converged.\n\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	297 Any other value indicates a failure to converge.\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	298 \n\
10791 3140cb7a05a1 Add spellchecker scripts for Octave and run spellcheck of documentation Rik <octave@nomad.inbox5.com> parents: 10777 diff changeset	299 This function is based on the @sc{arpack} package, written by R. Lehoucq,\n\
3140cb7a05a1 Add spellchecker scripts for Octave and run spellcheck of documentation Rik <octave@nomad.inbox5.com> parents: 10777 diff changeset	300 K. Maschhoff, D. Sorensen, and C. Yang. For more information see\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	301 @url{http://www.caam.rice.edu/software/ARPACK/}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	302 \n\
9724 f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	303 @seealso{eig, svds}\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	304 @end deftypefn")
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	305 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	306 octave_value_list retval;
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	307
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	308 int nargin = args.length ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	309 std::string fcn_name;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	310 octave_idx_type n = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	311 octave_idx_type k = 6;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	312 Complex sigma = 0.;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	313 double sigmar, sigmai;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	314 bool have_sigma = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	315 std::string typ = "LM";
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	316 Matrix amm, bmm, bmt;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	317 ComplexMatrix acm, bcm, bct;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	318 SparseMatrix asmm, bsmm, bsmt;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	319 SparseComplexMatrix ascm, bscm, bsct;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	320 int b_arg = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	321 bool have_b = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	322 bool have_a_fun = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	323 bool a_is_complex = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	324 bool b_is_complex = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	325 bool symmetric = false;
12649 8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	326 bool sym_tested = false;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	327 bool cholB = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	328 bool a_is_sparse = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	329 ColumnVector permB;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	330 int arg_offset = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	331 double tol = DBL_EPSILON;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	332 int maxit = 300;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	333 int disp = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	334 octave_idx_type p = -1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	335 ColumnVector resid;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	336 ComplexColumnVector cresid;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	337 octave_idx_type info = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	338
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	339 warned_imaginary = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	340
10066 2cd940306a06 make unwind_protect frames local Jaroslav Hajek <highegg@gmail.com> parents: 9758 diff changeset	341 unwind_protect frame;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	342
10066 2cd940306a06 make unwind_protect frames local Jaroslav Hajek <highegg@gmail.com> parents: 9758 diff changeset	343 frame.protect_var (call_depth);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	344 call_depth++;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	345
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	346 if (call_depth > 1)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	347 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	348 error ("eigs: invalid recursive call");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	349 if (fcn_name.length())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	350 clear_function (fcn_name);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	351 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	352 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	353
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	354 if (nargin == 0)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	355 print_usage ();
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	356 else if (args(0).is_function_handle () \|\| args(0).is_inline_function ()
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	357 \|\| args(0).is_string ())
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	358 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	359 if (args(0).is_string ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	360 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	361 std::string name = args(0).string_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	362 std::string fname = "function y = ";
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	363 fcn_name = unique_symbol_name ("__eigs_fcn_");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	364 fname.append (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	365 fname.append ("(x) y = ");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	366 eigs_fcn = extract_function (args(0), "eigs", fcn_name, fname,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	367 "; endfunction");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	368 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	369 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	370 eigs_fcn = args(0).function_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	371
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	372 if (!eigs_fcn)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	373 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	374 error ("eigs: unknown function");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	375 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	376 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	377
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	378 if (nargin < 2)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	379 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	380 error ("eigs: incorrect number of arguments");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	381 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	382 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	383 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	384 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	385 n = args(1).nint_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	386 arg_offset = 1;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	387 have_a_fun = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	388 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	389 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	390 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	391 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	392 if (args(0).is_complex_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	393 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	394 if (args(0).is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	395 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	396 ascm = (args(0).sparse_complex_matrix_value());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	397 a_is_sparse = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	398 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	399 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	400 acm = (args(0).complex_matrix_value());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	401 a_is_complex = true;
12649 8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	402 symmetric = false; // ARPACK doesn't special case complex symmetric
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	403 sym_tested = true;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	404 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	405 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	406 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	407 if (args(0).is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	408 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	409 asmm = (args(0).sparse_matrix_value());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	410 a_is_sparse = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	411 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	412 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	413 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	414 amm = (args(0).matrix_value());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	415 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	416 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	417
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	418 }
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	419
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	420 // Note hold off reading B till later to avoid issues of double
12649 8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	421 // copies of the matrix if B is full/real while A is complex.
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	422 if (!error_state && nargin > 1 + arg_offset &&
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	423 !(args(1 + arg_offset).is_real_scalar ()))
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	424 {
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	425 if (args(1+arg_offset).is_complex_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	426 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	427 b_arg = 1+arg_offset;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	428 have_b = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	429 b_is_complex = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	430 arg_offset++;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	431 }
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	432 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	433 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	434 b_arg = 1+arg_offset;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	435 have_b = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	436 arg_offset++;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	437 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	438 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	439
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	440 if (!error_state && nargin > (1+arg_offset))
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	441 k = args(1+arg_offset).nint_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	442
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	443 if (!error_state && nargin > (2+arg_offset))
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	444 {
8845 5a6db6bd1a02 eigs.cc (Feigs): fix handling of sigma arg John W. Eaton <jwe@octave.org> parents: 8702 diff changeset	445 if (args(2+arg_offset).is_string ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	446 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	447 typ = args(2+arg_offset).string_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	448
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	449 // Use STL function to convert to upper case
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	450 transform (typ.begin (), typ.end (), typ.begin (), toupper);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	451
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	452 sigma = 0.;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	453 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	454 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	455 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	456 sigma = args(2+arg_offset).complex_value ();
8845 5a6db6bd1a02 eigs.cc (Feigs): fix handling of sigma arg John W. Eaton <jwe@octave.org> parents: 8702 diff changeset	457
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	458 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	459 have_sigma = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	460 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	461 {
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	462 error ("eigs: SIGMA must be a scalar or a string");
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	463 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	464 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	465 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	466 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	467
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	468 sigmar = std::real (sigma);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	469 sigmai = std::imag (sigma);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	470
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	471 if (!error_state && nargin > (3+arg_offset))
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	472 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	473 if (args(3+arg_offset).is_map ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	474 {
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	475 octave_scalar_map map = args(3+arg_offset).scalar_map_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	476
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	477 if (! error_state)
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	478 {
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	479 octave_value tmp;
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	480
12649 8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	481 // issym is ignored for complex matrix inputs
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	482 tmp = map.getfield ("issym");
12649 8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	483 if (tmp.is_defined () && !sym_tested)
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	484 {
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	485 symmetric = tmp.double_value () != 0.;
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	486 sym_tested = true;
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	487 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	488
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	489 // isreal is ignored if A is not a function
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	490 tmp = map.getfield ("isreal");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	491 if (tmp.is_defined () && have_a_fun)
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	492 a_is_complex = ! (tmp.double_value () != 0.);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	493
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	494 tmp = map.getfield ("tol");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	495 if (tmp.is_defined ())
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	496 tol = tmp.double_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	497
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	498 tmp = map.getfield ("maxit");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	499 if (tmp.is_defined ())
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	500 maxit = tmp.nint_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	501
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	502 tmp = map.getfield ("p");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	503 if (tmp.is_defined ())
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	504 p = tmp.nint_value ();
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	505
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	506 tmp = map.getfield ("v0");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	507 if (tmp.is_defined ())
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	508 {
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	509 if (a_is_complex \|\| b_is_complex)
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	510 cresid = ComplexColumnVector (tmp.complex_vector_value ());
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	511 else
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	512 resid = ColumnVector (tmp.vector_value ());
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	513 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	514
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	515 tmp = map.getfield ("disp");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	516 if (tmp.is_defined ())
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	517 disp = tmp.nint_value ();
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	518
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	519 tmp = map.getfield ("cholB");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	520 if (tmp.is_defined ())
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	521 cholB = tmp.double_value () != 0.;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	522
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	523 tmp = map.getfield ("permB");
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	524 if (tmp.is_defined ())
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	525 permB = ColumnVector (tmp.vector_value ()) - 1.0;
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	526 }
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	527 else
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	528 {
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	529 error ("eigs: OPTS argument must be a scalar structure");
11044 757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	530 return retval;
757249bb4888 eigs.cc: use octave_scalar_map instead of Octave_map John W. Eaton <jwe@octave.org> parents: 10846 diff changeset	531 }
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	532 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	533 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	534 {
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	535 error ("eigs: OPTS argument must be a structure");
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	536 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	537 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	538 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	539
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	540 if (nargin > (4+arg_offset))
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	541 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	542 error ("eigs: incorrect number of arguments");
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	543 return retval;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	544 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	545
12649 8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	546 // Test undeclared (no issym) matrix inputs for symmetry
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	547 if (!sym_tested && !have_a_fun)
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	548 {
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	549 if (a_is_sparse)
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	550 symmetric = asmm.is_symmetric();
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	551 else
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	552 symmetric = amm.is_symmetric();
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	553 }
8579e7a6e6e0 Improve performance (2X) of svds by avoiding issymmetric calculation (bug #33073) Rik <octave@nomad.inbox5.com> parents: 12329 diff changeset	554
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	555 if (have_b)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	556 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	557 if (a_is_complex \|\| b_is_complex)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	558 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	559 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	560 bscm = args(b_arg).sparse_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	561 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	562 bcm = args(b_arg).complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	563 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	564 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	565 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	566 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	567 bsmm = args(b_arg).sparse_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	568 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	569 bmm = args(b_arg).matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	570 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	571 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	572
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	573 // Mode 1 for SM mode seems unstable for some reason.
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	574 // Use Mode 3 instead, with sigma = 0.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	575 if (!error_state && !have_sigma && typ == "SM")
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	576 have_sigma = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	577
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	578 if (!error_state)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	579 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	580 octave_idx_type nconv;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	581 if (a_is_complex \|\| b_is_complex)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	582 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	583 ComplexMatrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	584 ComplexColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	585
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	586
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	587 if (have_a_fun)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	588 nconv = EigsComplexNonSymmetricFunc
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	589 (eigs_complex_func, n, typ, sigma, k, p, info, eig_vec, eig_val,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	590 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	591 else if (have_sigma)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	592 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	593 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	594 nconv = EigsComplexNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	595 (ascm, sigma, k, p, info, eig_vec, eig_val, bscm, permB,
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	596 cresid, octave_stdout, tol, (nargout > 1), cholB, disp,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	597 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	598 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	599 nconv = EigsComplexNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	600 (acm, sigma, k, p, info, eig_vec, eig_val, bcm, permB, cresid,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	601 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	602 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	603 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	604 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	605 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	606 nconv = EigsComplexNonSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	607 (ascm, typ, k, p, info, eig_vec, eig_val, bscm, permB, cresid,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	608 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	609 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	610 nconv = EigsComplexNonSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	611 (acm, typ, k, p, info, eig_vec, eig_val, bcm, permB, cresid,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	612 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	613 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	614
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	615 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	616 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	617 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	618 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	619 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	620 retval(1) = ComplexDiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	621 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	622 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	623 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	624 else if (sigmai != 0.)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	625 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	626 // Promote real problem to a complex one.
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	627 ComplexMatrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	628 ComplexColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	629
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	630 if (have_a_fun)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	631 nconv = EigsComplexNonSymmetricFunc
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	632 (eigs_complex_func, n, typ, sigma, k, p, info, eig_vec, eig_val,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	633 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	634 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	635 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	636 if (a_is_sparse)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	637 nconv = EigsComplexNonSymmetricMatrixShift
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	638 (SparseComplexMatrix (asmm), sigma, k, p, info, eig_vec,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	639 eig_val, SparseComplexMatrix (bsmm), permB, cresid,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	640 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	641 else
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	642 nconv = EigsComplexNonSymmetricMatrixShift
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	643 (ComplexMatrix (amm), sigma, k, p, info, eig_vec,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	644 eig_val, ComplexMatrix (bmm), permB, cresid,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	645 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	646 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	647
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	648 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	649 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	650 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	651 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	652 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	653 retval(1) = ComplexDiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	654 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	655 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	656 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	657 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	658 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	659 if (symmetric)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	660 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	661 Matrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	662 ColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	663
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	664 if (have_a_fun)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	665 nconv = EigsRealSymmetricFunc
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	666 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val,
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	667 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	668 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	669 else if (have_sigma)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	670 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	671 if (a_is_sparse)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	672 nconv = EigsRealSymmetricMatrixShift
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	673 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB,
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	674 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	675 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	676 else
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	677 nconv = EigsRealSymmetricMatrixShift
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	678 (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	679 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	680 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	681 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	682 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	683 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	684 if (a_is_sparse)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	685 nconv = EigsRealSymmetricMatrix
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	686 (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	687 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	688 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	689 else
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	690 nconv = EigsRealSymmetricMatrix
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	691 (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	692 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	693 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	694 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	695
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	696 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	697 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	698 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	699 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	700 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	701 retval(1) = DiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	702 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	703 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	704 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	705 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	706 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	707 ComplexMatrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	708 ComplexColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	709
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	710 if (have_a_fun)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	711 nconv = EigsRealNonSymmetricFunc
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	712 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val,
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	713 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	714 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	715 else if (have_sigma)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	716 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	717 if (a_is_sparse)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	718 nconv = EigsRealNonSymmetricMatrixShift
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	719 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB,
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	720 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	721 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	722 else
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	723 nconv = EigsRealNonSymmetricMatrixShift
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	724 (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	725 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	726 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	727 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	728 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	729 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	730 if (a_is_sparse)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	731 nconv = EigsRealNonSymmetricMatrix
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	732 (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	733 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	734 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	735 else
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	736 nconv = EigsRealNonSymmetricMatrix
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	737 (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	738 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	739 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	740 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	741
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	742 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	743 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	744 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	745 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	746 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	747 retval(1) = ComplexDiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	748 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	749 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	750 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	751 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	752
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	753 if (nconv <= 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	754 warning ("eigs: None of the %d requested eigenvalues converged", k);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	755 else if (nconv < k)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	756 warning ("eigs: Only %d of the %d requested eigenvalues converged",
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	757 nconv, k);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	758 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	759
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	760 if (! fcn_name.empty ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	761 clear_function (fcn_name);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	762
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	763 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	764 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	765
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	766 /* #### SPARSE MATRIX VERSIONS #### */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	767
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	768 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	769
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	770 %% Real positive definite tests, n must be even
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	771 %!shared n, k, A, d0, d2
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	772 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	773 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	774 %! A = sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[ones(1,n-2),4*ones(1,n),ones(1,n-2)]);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	775 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	776 %! d2 = sort (d0);
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	777 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	778 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	779 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	780 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	781 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	782 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	783 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	784 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	785 %! assert (d1, d0(end:-1:(end-k)),1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	786 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	787 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	788 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	789 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	790 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	791 %! assert (d1, d0(k:-1:1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	792 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	793 %! d1 = eigs (A, k, 'la');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	794 %! assert (d1, d2(end:-1:(end-k+1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	795 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	796 %! d1 = eigs (A, k, 'sa');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	797 %! assert (d1, d2(1:k), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	798 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	799 %! d1 = eigs (A, k, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	800 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	801 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	802 %! d1 = eigs (A, k+1, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	803 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	804 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	805 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	806 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	807 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	808 %! assert (d1(idx1), d0(idx0(1:k)), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	809 %!testif HAVE_CHOLMOD
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	810 %! d1 = eigs(A, speye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	811 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	812 %!testif HAVE_UMFPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	813 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	814 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	815 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	816 %! d1 = eigs(A, speye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	817 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	818 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	819 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	820 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	821 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	822 %! d1 = eigs(A, speye(n)(q,q), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	823 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	824 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	825 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	826 %! d1 = eigs(A, speye(n), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	827 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	828 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	829 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	830 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	831 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	832 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	833 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	834 %!testif HAVE_UMFPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	835 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	836 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	837 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	838 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	839 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	840 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	841 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	842 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	843 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	844 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	845 %! assert (d1, d0(k:-1:1), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	846 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	847 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	848 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	849 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	850 %! assert (d1, eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	851 %!test
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	852 %! AA = speye (10);
9597 a32f70d8d146 Minor typo in new eigs.cc test David Bateman <dbateman@free.fr> parents: 9593 diff changeset	853 %! fn = @(x) AA * x;
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	854 %! opts.issym = 1; opts.isreal = 1;
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	855 %! assert (eigs (fn, 10, AA, 3, 'lm', opts), [1; 1; 1],10*eps);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	856 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	857 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	858 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	859 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	860 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	861 %! endfor
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	862 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	863 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	864 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	865 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	866 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	867 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	868 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	869 %! [v1,d1] = eigs(A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	870 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	871 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	872 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	873 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	874 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	875 %! [v1,d1] = eigs(A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	876 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	877 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	878 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	879 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	880 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	881 %! [v1,d1] = eigs(A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	882 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	883 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	884 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	885 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	886
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	887 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	888
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	889 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	890
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	891 %% Real unsymmetric tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	892 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	893 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	894 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	895 %! A = sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[ones(1,n-2),1:n,-ones(1,n-2)]);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	896 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	897 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	898 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	899 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	900 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	901 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	902 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	903 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	904 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	905 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	906 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	907 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	908 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	909 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	910 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	911 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	912 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	913 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	914 %! [~, idx] = sort (real(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	915 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	916 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	917 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	918 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	919 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	920 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	921 %! assert (real(d1), real(d2(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	922 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	923 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	924 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	925 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	926 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	927 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	928 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	929 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	930 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	931 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	932 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	933 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	934 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	935 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	936 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	937 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	938 %!testif HAVE_CHOLMOD
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	939 %! d1 = eigs(A, speye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	940 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	941 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	942 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	943 %! d1 = eigs(A, speye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	944 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	945 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	946 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	947 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	948 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	949 %! d1 = eigs(A, speye(n)(q,q), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	950 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	951 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	952 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	953 %! d1 = eigs(A, speye(n), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	954 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	955 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	956 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	957 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	958 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	959 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	960 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	961 %!testif HAVE_UMFPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	962 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	963 %!testif HAVE_UMFPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	964 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	965 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	966 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	967 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	968 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	969 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	970 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	971 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	972 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	973 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	974 %! assert (abs(d1), d0(1:k), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	975 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	976 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	977 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	978 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	979 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	980 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	981 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	982 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	983 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	984 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	985 %! endfor
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	986 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	987 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	988 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	989 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	990 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	991 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	992 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	993 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	994 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	995 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	996 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	997 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	998 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	999 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1000 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1001 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1002 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1003 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1004 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1005 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1006 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1007 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1008 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1009 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1010 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1011 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1012 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1013 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1014 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1015 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1016
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1017 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1018
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1019 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1020
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1021 %% Complex hermitian tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1022 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1023 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1024 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1025 %! A = sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[1iones(1,n-2),4ones(1,n),-1i*ones(1,n-2)]);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1026 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1027 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1028 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1029 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1030 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1031 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1032 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1033 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1034 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1035 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1036 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1037 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1038 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1039 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1040 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1041 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1042 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1043 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1044 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1045 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1046 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1047 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1048 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1049 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1050 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1051 %! assert (real(d1), real(d2(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1052 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1053 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1054 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1055 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1056 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1057 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1058 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1059 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1060 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1061 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1062 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1063 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1064 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1065 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1066 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1067 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1068 %!testif HAVE_CHOLMOD
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1069 %! d1 = eigs(A, speye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1070 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1071 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1072 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1073 %! d1 = eigs(A, speye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1074 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1075 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1076 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1077 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1078 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1079 %! d1 = eigs(A, speye(n)(q,q), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1080 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1081 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1082 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1083 %! d1 = eigs(A, speye(n), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1084 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1085 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1086 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1087 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1088 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1089 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1090 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1091 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1092 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1093 %!testif HAVE_UMFPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1094 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1095 %!testif HAVE_UMFPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1096 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1097 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1098 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1099 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1100 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1101 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1102 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1103 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1104 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1105 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1106 %! assert (abs(d1), d0(1:k), 1e-11);
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1107 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1108 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1109 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1110 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1111 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1112 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1113 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1114 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1115 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1116 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1117 %! endfor
12329 5f203b5bbf98 Use testif to only run some sparse tests when necessary libraries are installed. Rik <octave@nomad.inbox5.com> parents: 12195 diff changeset	1118 %!testif HAVE_UMFPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1119 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1120 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1121 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1122 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1123 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1124 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1125 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1126 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1127 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1128 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1129 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1130 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1131 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1132 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1133 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1134 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1135 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1136 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1137 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1138 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1139 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1140 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1141 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1142 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1143 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1144 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1145 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1146 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1147 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1148
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1149 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1150
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1151 /* #### FULL MATRIX VERSIONS #### */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1152
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1153 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1154
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1155 %% Real positive definite tests, n must be even
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1156 %!shared n, k, A, d0, d2
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1157 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1158 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1159 %! A = full(sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[ones(1,n-2),4*ones(1,n),ones(1,n-2)]));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1160 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1161 %! d2 = sort (d0);
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1162 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1163 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1164 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1165 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1166 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1167 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1168 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1169 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1170 %! assert (d1, d0(end:-1:(end-k)),1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1171 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1172 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1173 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1174 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1175 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1176 %! assert (d1, d0(k:-1:1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1177 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1178 %! d1 = eigs (A, k, 'la');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1179 %! assert (d1, d2(end:-1:(end-k+1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1180 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1181 %! d1 = eigs (A, k, 'sa');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1182 %! assert (d1, d2(1:k), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1183 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1184 %! d1 = eigs (A, k, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1185 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1186 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1187 %! d1 = eigs (A, k+1, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1188 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1189 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1190 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1191 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1192 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1193 %! assert (d1(idx1), d0(idx0(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1194 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1195 %! d1 = eigs(A, eye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1196 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1197 %!test
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1198 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1199 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1200 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1201 %! d1 = eigs(A, eye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1202 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1203 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1204 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1205 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1206 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1207 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1208 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1209 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1210 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1211 %! d1 = eigs(A, eye(n), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1212 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1213 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1214 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1215 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1216 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1217 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1218 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1219 %!test
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1220 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1221 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1222 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1223 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1224 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1225 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1226 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1227 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1228 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1229 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1230 %! assert (d1, d0(k:-1:1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1231 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1232 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1233 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1234 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1235 %! assert (d1, eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1236 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1237 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1238 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1239 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1240 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1241 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1242 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1243 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1244 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1245 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1246 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1247 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1248 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1249 %! [v1,d1] = eigs(A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1250 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1251 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1252 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1253 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1254 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1255 %! [v1,d1] = eigs(A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1256 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1257 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1258 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1259 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1260 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1261 %! [v1,d1] = eigs(A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1262 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1263 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1264 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1265 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1266
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1267 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1268
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1269 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1270
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1271 %% Real unsymmetric tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1272 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1273 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1274 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1275 %! A = full(sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[ones(1,n-2),1:n,-ones(1,n-2)]));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1276 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1277 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1278 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1279 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1280 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1281 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1282 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1283 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1284 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1285 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1286 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1287 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1288 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1289 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1290 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1291 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1292 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1293 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1294 %! [~, idx] = sort (real(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1295 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1296 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1297 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1298 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1299 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1300 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1301 %! assert (real(d1), real(d2(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1302 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1303 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1304 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1305 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1306 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1307 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1308 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1309 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1310 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1311 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1312 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1313 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1314 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1315 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1316 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1317 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1318 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1319 %! d1 = eigs(A, eye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1320 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1321 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1322 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1323 %! d1 = eigs(A, eye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1324 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1325 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1326 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1327 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1328 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1329 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1330 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1331 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1332 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1333 %! d1 = eigs(A, eye(n), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1334 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1335 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1336 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1337 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1338 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1339 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1340 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1341 %!test
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1342 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1343 %!test
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1344 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1345 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1346 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1347 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1348 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1349 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1350 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1351 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1352 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1353 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1354 %! assert (abs(d1), d0(1:k), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1355 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1356 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1357 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1358 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1359 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1360 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1361 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1362 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1363 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1364 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1365 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1366 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1367 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1368 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1369 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1370 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1371 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1372 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1373 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1374 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1375 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1376 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1377 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1378 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1379 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1380 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1381 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1382 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1383 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1384 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1385 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1386 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1387 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1388 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1389 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1390 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1391 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1392 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1393 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1394 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1395 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1396
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1397 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1398
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1399 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1400
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1401 %% Complex hermitian tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1402 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1403 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1404 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1405 %! A = full(sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[1iones(1,n-2),4ones(1,n),-1i*ones(1,n-2)]));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1406 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1407 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1408 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1409 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1410 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1411 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1412 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1413 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1414 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1415 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1416 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1417 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1418 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1419 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1420 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1421 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1422 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1423 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1424 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1425 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1426 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1427 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1428 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1429 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1430 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1431 %! assert (real(d1), real(d2(1:k)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1432 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1433 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1434 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1435 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1436 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1437 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1438 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1439 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1440 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1441 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1442 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1443 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1444 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1445 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1446 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1447 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1448 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1449 %! d1 = eigs(A, eye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1450 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1451 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1452 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1453 %! d1 = eigs(A, eye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1454 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1455 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1456 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1457 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1458 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1459 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1460 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1461 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1462 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1463 %! d1 = eigs(A, eye(n), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1464 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1465 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1466 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1467 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1468 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1469 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1470 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1471 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11);
3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1472 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1473 %!test
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1474 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1475 %!test
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1476 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1477 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1478 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1479 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1480 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1481 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1482 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1483 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1484 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1485 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1486 %! assert (abs(d1), d0(1:k), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1487 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1488 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1489 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1490 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1491 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1492 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1493 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1494 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1495 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1496 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1497 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1498 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1499 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1500 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1501 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1502 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1503 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1504 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1505 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1506 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1507 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1508 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1509 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1510 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1511 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1512 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1513 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1514 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1515 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1516 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1517 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1518 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1519 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1520 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1521 %! endfor
12195 d25dfa9ed18b remove configure checks for ARPACK John W. Eaton <jwe@octave.org> parents: 11586 diff changeset	1522 %!test
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1523 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1524 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1525 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1526 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-11)
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1527 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1528
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1529 */

Mercurial > octave-nkf

annotate src/DLD-FUNCTIONS/eigs.cc @ 13219:cf5ebc0e47e4