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

annotate src/DLD-FUNCTIONS/eigs.cc @ 10846:a4f482e66b65

Grammarcheck more of the documentation. Use @noindent macro appropriately. Limit line length to 80 characters.

author	Rik <octave@nomad.inbox5.com>
date	Sun, 01 Aug 2010 20:22:17 -0700
parents	89f4d7e294cc
children	757249bb4888

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
8920 eb63fbe60fab update copyright notices John W. Eaton <jwe@octave.org> parents: 8845 diff changeset	3 Copyright (C) 2005, 2008, 2009 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\
9724 f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	134 @deftypefn {Loadable Function} {@var{d} =} eigs (@var{a})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	135 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{a}, @var{k})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	136 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{a}, @var{k}, @var{sigma})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	137 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{a}, @var{k}, @var{sigma},@var{opts})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	138 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{a}, @var{b})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	139 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{a}, @var{b}, @var{k})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	140 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{a}, @var{b}, @var{k}, @var{sigma})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	141 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{a}, @var{b}, @var{k}, @var{sigma}, @var{opts})\n\
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\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	143 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{b})\n\
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\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	145 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{b}, @var{k})\n\
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\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	147 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{b}, @var{k}, @var{sigma})\n\
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\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	149 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{b}, @var{k}, @var{sigma}, @var{opts})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	150 @deftypefnx {Loadable Function} {[@var{v}, @var{d}] =} eigs (@var{a}, @dots{})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	151 @deftypefnx {Loadable Function} {[@var{v}, @var{d}] =} eigs (@var{af}, @var{n}, @dots{})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	152 @deftypefnx {Loadable Function} {[@var{v}, @var{d}, @var{flag}] =} eigs (@var{a}, @dots{})\n\
f22bbc5d56e9 Fix various incorrect usages of TeXinfo deffn and deftypefn macros Rik <rdrider0-list@yahoo.com> parents: 9597 diff changeset	153 @deftypefnx {Loadable Function} {[@var{v}, @var{d}, @var{flag}] =} eigs (@var{af}, @var{n}, @dots{})\n\
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: 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\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 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\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 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\
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 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\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 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\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	256 The permutation vector of the Cholesky factorization of @var{b} if\n\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 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\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	261 It is also possible to represent @var{a} by a function denoted @var{af}.\n\
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\
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	263 of the vector argument accepted by @var{af}. @var{af} can be \n\
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\
a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	289 two return arguments, @var{v} is a @var{n}-by-@var{k} matrix whose columns\n\
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;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	307 #ifdef HAVE_ARPACK
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;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	326 bool cholB = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	327 bool a_is_sparse = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	328 ColumnVector permB;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	329 int arg_offset = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	330 double tol = DBL_EPSILON;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	331 int maxit = 300;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	332 int disp = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	333 octave_idx_type p = -1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	334 ColumnVector resid;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	335 ComplexColumnVector cresid;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	336 octave_idx_type info = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	337 char bmat = 'I';
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;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	402 symmetric = false; // ARAPACK doesn't special case complex symmetric
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	403 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	404 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	405 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	406 if (args(0).is_sparse_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	407 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	408 asmm = (args(0).sparse_matrix_value());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	409 a_is_sparse = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	410 symmetric = asmm.is_symmetric();
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 symmetric = amm.is_symmetric();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	416 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	417 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	418
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	419 }
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	420
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	421 // Note hold off reading B till later to avoid issues of double
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	422 // copies of the matrix if B is full/real while A is complex..
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	423 if (!error_state && nargin > 1 + arg_offset &&
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	424 !(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	425 {
cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	426 if (args(1+arg_offset).is_complex_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	427 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	428 b_arg = 1+arg_offset;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	429 have_b = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	430 bmat = 'G';
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	431 b_is_complex = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	432 arg_offset++;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	433 }
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	434 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	435 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	436 b_arg = 1+arg_offset;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	437 have_b = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	438 bmat = 'G';
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	439 arg_offset++;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	440 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	441 }
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 > (1+arg_offset))
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	444 k = args(1+arg_offset).nint_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	445
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	446 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	447 {
8845 5a6db6bd1a02 eigs.cc (Feigs): fix handling of sigma arg John W. Eaton <jwe@octave.org> parents: 8702 diff changeset	448 if (args(2+arg_offset).is_string ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	449 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	450 typ = args(2+arg_offset).string_value ();
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 // Use STL function to convert to upper case
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	453 transform (typ.begin (), typ.end (), typ.begin (), toupper);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	454
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	455 sigma = 0.;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	456 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	457 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	458 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	459 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	460
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	461 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	462 have_sigma = true;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	463 else
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 error ("eigs: sigma must be a scalar or a string");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	466 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	467 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	468 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	469 }
8417 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 sigmar = std::real (sigma);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	472 sigmai = std::imag (sigma);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	473
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	474 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	475 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	476 if (args(3+arg_offset).is_map ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	477 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	478 Octave_map map = args(3+arg_offset).map_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	479
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	480 // issym is ignored if A is not a function
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	481 if (map.contains ("issym") && have_a_fun)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	482 symmetric = map.contents ("issym")(0).double_value () != 0.;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	483
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	484 // isreal is ignored if A is not a function
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	485 if (map.contains ("isreal") && have_a_fun)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	486 a_is_complex = ! (map.contents ("isreal")(0).double_value () != 0.);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	487
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	488 if (map.contains ("tol"))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	489 tol = map.contents ("tol")(0).double_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	490
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	491 if (map.contains ("maxit"))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	492 maxit = map.contents ("maxit")(0).nint_value ();
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	493
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	494 if (map.contains ("p"))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	495 p = map.contents ("p")(0).nint_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	496
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	497 if (map.contains ("v0"))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	498 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	499 if (a_is_complex \|\| b_is_complex)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	500 cresid = ComplexColumnVector
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	501 (map.contents ("v0")(0).complex_vector_value());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	502 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	503 resid = ColumnVector (map.contents ("v0")(0).vector_value());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	504 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	505
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	506 if (map.contains ("disp"))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	507 disp = map.contents ("disp")(0).nint_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	508
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	509 if (map.contains ("cholB"))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	510 cholB = map.contents ("cholB")(0).double_value () != 0.;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	511
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	512 if (map.contains ("permB"))
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	513 permB = ColumnVector (map.contents ("permB")(0).vector_value ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	514 - 1.0;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	515 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	516 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	517 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	518 error ("eigs: options argument must be a structure");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	519 return retval;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	520 }
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	521 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	522
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	523 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	524 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	525 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	526 return retval;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	527 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	528
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	529 if (have_b)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	530 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	531 if (a_is_complex \|\| b_is_complex)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	532 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	533 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	534 bscm = args(b_arg).sparse_complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	535 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	536 bcm = args(b_arg).complex_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	537 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	538 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	539 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	540 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	541 bsmm = args(b_arg).sparse_matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	542 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	543 bmm = args(b_arg).matrix_value ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	544 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	545 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	546
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	547 // Mode 1 for SM mode seems unstable for some reason.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	548 // Use Mode 3 instead, with sigma = 0.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	549 if (!error_state && !have_sigma && typ == "SM")
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	550 have_sigma = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	551
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	552 if (!error_state)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	553 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	554 octave_idx_type nconv;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	555 if (a_is_complex \|\| b_is_complex)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	556 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	557 ComplexMatrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	558 ComplexColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	559
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	560
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	561 if (have_a_fun)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	562 nconv = EigsComplexNonSymmetricFunc
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	563 (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	564 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	565 else if (have_sigma)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	566 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	567 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	568 nconv = EigsComplexNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	569 (ascm, sigma, k, p, info, eig_vec, eig_val, bscm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	570 cresid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	571 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	572 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	573 nconv = EigsComplexNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	574 (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	575 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	576 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	577 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	578 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	579 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	580 nconv = EigsComplexNonSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	581 (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	582 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	583 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	584 nconv = EigsComplexNonSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	585 (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	586 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	587 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	588
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	589 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	590 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	591 else
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 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	594 retval(1) = ComplexDiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	595 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	596 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	597 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	598 else if (sigmai != 0.)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	599 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	600 // Promote real problem to a complex one.
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	601 ComplexMatrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	602 ComplexColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	603
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	604 if (have_a_fun)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	605 nconv = EigsComplexNonSymmetricFunc
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	606 (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	607 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	608 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	609 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	610 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	611 nconv = EigsComplexNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	612 (SparseComplexMatrix (asmm), sigma, k, p, info, eig_vec,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	613 eig_val, SparseComplexMatrix (bsmm), permB, cresid,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	614 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	615 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	616 nconv = EigsComplexNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	617 (ComplexMatrix (amm), sigma, k, p, info, eig_vec,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	618 eig_val, ComplexMatrix (bmm), permB, cresid,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	619 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	620 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	621
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	622 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	623 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	624 else
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 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	627 retval(1) = ComplexDiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	628 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	629 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	630 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	631 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	632 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	633 if (symmetric)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	634 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	635 Matrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	636 ColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	637
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	638 if (have_a_fun)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	639 nconv = EigsRealSymmetricFunc
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	640 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	641 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	642 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	643 else if (have_sigma)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	644 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	645 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	646 nconv = EigsRealSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	647 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	648 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	649 maxit);
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 nconv = EigsRealSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	652 (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	653 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	654 maxit);
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 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	657 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	658 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	659 nconv = EigsRealSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	660 (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	661 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	662 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	663 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	664 nconv = EigsRealSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	665 (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	666 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	667 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	668 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	669
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	670 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	671 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	672 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	673 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	674 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	675 retval(1) = DiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	676 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	677 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	678 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	679 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	680 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	681 ComplexMatrix eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	682 ComplexColumnVector eig_val;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	683
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	684 if (have_a_fun)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	685 nconv = EigsRealNonSymmetricFunc
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	686 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val,
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 if (have_sigma)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	690 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	691 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	692 nconv = EigsRealNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	693 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	694 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	695 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	696 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	697 nconv = EigsRealNonSymmetricMatrixShift
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	698 (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	699 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	700 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	701 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	702 else
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 if (a_is_sparse)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	705 nconv = EigsRealNonSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	706 (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	707 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	708 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	709 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	710 nconv = EigsRealNonSymmetricMatrix
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	711 (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	712 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	713 maxit);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	714 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	715
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	716 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	717 retval (0) = eig_val;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	718 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	719 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	720 retval(2) = double (info);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	721 retval(1) = ComplexDiagMatrix (eig_val);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	722 retval(0) = eig_vec;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	723 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	724 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	725 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	726
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	727 if (nconv <= 0)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	728 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	729 else if (nconv < k)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	730 warning ("eigs: Only %d of the %d requested eigenvalues converged",
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 10066 diff changeset	731 nconv, k);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	732 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	733
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	734 if (! fcn_name.empty ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	735 clear_function (fcn_name);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	736 #else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	737 error ("eigs: not available in this version of Octave");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	738 #endif
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	739
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	740 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	741 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	742
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	743 /* #### SPARSE MATRIX VERSIONS #### */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	744
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	745 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	746
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	747 %% Real positive definite tests, n must be even
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	748 %!shared n, k, A, d0, d2
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	749 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	750 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	751 %! 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	752 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	753 %! d2 = sort (d0);
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	754 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	755 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	756 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	757 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	758 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	759 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	760 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	761 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	762 %! assert (d1, d0(end:-1:(end-k)),1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	763 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	764 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	765 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	766 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	767 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	768 %! assert (d1, d0(k:-1:1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	769 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	770 %! d1 = eigs (A, k, 'la');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	771 %! assert (d1, d2(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	772 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	773 %! d1 = eigs (A, k, 'sa');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	774 %! assert (d1, d2(1:k), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	775 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	776 %! d1 = eigs (A, k, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	777 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	778 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	779 %! d1 = eigs (A, k+1, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	780 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	781 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	782 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	783 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	784 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	785 %! assert (d1(idx1), d0(idx0(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	786 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	787 %! d1 = eigs(A, speye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	788 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	789 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	790 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	791 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	792 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	793 %! d1 = eigs(A, speye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	794 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	795 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	796 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	797 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	798 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	799 %! 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	800 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	801 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	802 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	803 %! 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	804 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	805 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	806 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	807 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	808 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	809 %! 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	810 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	811 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	812 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	813 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	814 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	815 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	816 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	817 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	818 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	819 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	820 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	821 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	822 %! assert (d1, d0(k:-1:1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	823 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	824 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	825 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	826 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	827 %! assert (d1, eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	828 %!testif HAVE_ARPACK
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	829 %! AA = speye (10);
9597 a32f70d8d146 Minor typo in new eigs.cc test David Bateman <dbateman@free.fr> parents: 9593 diff changeset	830 %! fn = @(x) AA * x;
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	831 %! 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	832 %! assert (eigs (fn, 10, AA, 3, 'lm', opts), [1; 1; 1],10*eps);
9593 cf8403208c43 Fix nesting error in options parsing of eigs David Bateman <dbateman@free.fr> parents: 9377 diff changeset	833 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	834 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	835 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	836 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	837 %! 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	838 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	839 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	840 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	841 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	842 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	843 %! 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	844 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	845 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	846 %! [v1,d1] = eigs(A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	847 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	848 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	849 %! 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	850 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	851 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	852 %! [v1,d1] = eigs(A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	853 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	854 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	855 %! 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	856 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	857 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	858 %! [v1,d1] = eigs(A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	859 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	860 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	861 %! 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	862 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	863
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	864 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	865
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	866 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	867
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	868 %% Real unsymmetric tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	869 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	870 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	871 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	872 %! 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	873 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	874 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	875 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	876 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	877 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	878 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	879 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	880 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	881 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	882 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	883 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	884 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	885 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	886 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	887 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	888 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	889 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	890 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	891 %! [~, idx] = sort (real(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	892 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	893 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	894 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	895 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	896 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	897 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	898 %! assert (real(d1), real(d2(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	899 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	900 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	901 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	902 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	903 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	904 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	905 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	906 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	907 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	908 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	909 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	910 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	911 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	912 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	913 %! 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	914 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	915 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	916 %! d1 = eigs(A, speye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	917 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	918 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	919 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	920 %! d1 = eigs(A, speye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	921 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	922 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	923 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	924 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	925 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	926 %! 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	927 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	928 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	929 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	930 %! 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	931 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	932 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	933 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	934 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	935 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	936 %! 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	937 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	938 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	939 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	940 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	941 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	942 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	943 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	944 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	945 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	946 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	947 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	948 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	949 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	950 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	951 %! assert (abs(d1), d0(1:k), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	952 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	953 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	954 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	955 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	956 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	957 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	958 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	959 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	960 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	961 %! 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	962 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	963 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	964 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	965 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	966 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	967 %! 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	968 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	969 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	970 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	971 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	972 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	973 %! 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	974 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	975 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	976 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	977 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	978 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	979 %! 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	980 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	981 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	982 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	983 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	984 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	985 %! 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	986 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	987 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	988 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	989 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	990 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	991 %! 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	992 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	993
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	994 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	995
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	996 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	997
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	998 %% Complex hermitian tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	999 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1000 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1001 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1002 %! 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	1003 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1004 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1005 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1006 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1007 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1008 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1009 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1010 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1011 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1012 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1013 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1014 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1015 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1016 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1017 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1018 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1019 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1020 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1021 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1022 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1023 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1024 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1025 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1026 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1027 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1028 %! assert (real(d1), real(d2(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1029 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1030 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1031 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1032 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1033 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1034 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1035 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1036 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1037 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1038 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1039 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1040 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1041 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1042 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1043 %! 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	1044 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1045 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1046 %! d1 = eigs(A, speye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1047 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1048 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1049 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1050 %! d1 = eigs(A, speye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1051 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1052 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1053 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1054 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1055 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1056 %! 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	1057 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1058 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1059 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1060 %! 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	1061 %! 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	1062 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1063 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1064 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1065 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1066 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1067 %! 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	1068 %! 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	1069 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1070 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1071 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1072 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1073 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1074 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1075 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1076 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1077 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1078 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1079 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1080 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1081 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1082 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1083 %! assert (abs(d1), d0(1:k), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1084 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1085 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1086 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1087 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1088 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1089 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1090 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1091 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1092 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1093 %! 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	1094 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1095 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1096 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1097 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1098 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1099 %! 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	1100 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1101 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1102 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1103 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1104 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1105 %! 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	1106 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1107 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1108 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1109 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1110 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1111 %! 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	1112 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1113 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1114 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1115 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1116 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1117 %! 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	1118 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1119 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1120 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1121 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1122 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1123 %! 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	1124 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1125
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1126 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1127
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1128 /* #### FULL MATRIX VERSIONS #### */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1129
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1130 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1131
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1132 %% Real positive definite tests, n must be even
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1133 %!shared n, k, A, d0, d2
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1134 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1135 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1136 %! 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	1137 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1138 %! d2 = sort (d0);
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1139 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1140 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1141 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1142 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1143 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1144 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1145 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1146 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1147 %! assert (d1, d0(end:-1:(end-k)),1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1148 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1149 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1150 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1151 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1152 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1153 %! assert (d1, d0(k:-1:1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1154 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1155 %! d1 = eigs (A, k, 'la');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1156 %! assert (d1, d2(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1157 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1158 %! d1 = eigs (A, k, 'sa');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1159 %! assert (d1, d2(1:k), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1160 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1161 %! d1 = eigs (A, k, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1162 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1163 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1164 %! d1 = eigs (A, k+1, 'be');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1165 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1166 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1167 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1168 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1169 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1170 %! assert (d1(idx1), d0(idx0(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1171 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1172 %! d1 = eigs(A, eye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1173 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1174 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1175 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1176 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1177 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1178 %! d1 = eigs(A, eye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1179 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1180 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1181 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1182 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1183 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1184 %! 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	1185 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1186 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1187 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1188 %! 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	1189 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1190 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1191 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1192 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1193 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1194 %! 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	1195 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1196 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1197 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1198 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1199 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1200 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1201 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1202 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1203 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1204 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1205 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1206 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1207 %! assert (d1, d0(k:-1:1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1208 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1209 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1210 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1211 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1212 %! assert (d1, eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1213 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1214 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1215 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1216 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1217 %! 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	1218 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1219 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1220 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1221 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1222 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1223 %! 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	1224 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1225 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1226 %! [v1,d1] = eigs(A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1227 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1228 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1229 %! 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	1230 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1231 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1232 %! [v1,d1] = eigs(A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1233 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1234 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1235 %! 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	1236 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1237 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1238 %! [v1,d1] = eigs(A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1239 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1240 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1241 %! 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	1242 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1243
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1244 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1245
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1246 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1247
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1248 %% Real unsymmetric tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1249 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1250 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1251 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1252 %! 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	1253 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1254 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1255 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1256 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1257 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1258 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1259 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1260 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1261 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1262 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1263 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1264 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1265 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1266 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1267 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1268 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1269 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1270 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1271 %! [~, idx] = sort (real(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1272 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1273 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1274 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1275 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1276 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1277 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1278 %! assert (real(d1), real(d2(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1279 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1280 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1281 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1282 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1283 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1284 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1285 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1286 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1287 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1288 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1289 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1290 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1291 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1292 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1293 %! 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	1294 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1295 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1296 %! d1 = eigs(A, eye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1297 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1298 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1299 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1300 %! d1 = eigs(A, eye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1301 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1302 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1303 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1304 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1305 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1306 %! 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	1307 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1308 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1309 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1310 %! 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	1311 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1312 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1313 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1314 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1315 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1316 %! 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	1317 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1318 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1319 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1320 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1321 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1322 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1323 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1324 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1325 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1326 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1327 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1328 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1329 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1330 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1331 %! assert (abs(d1), d0(1:k), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1332 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1333 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1334 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1335 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1336 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1337 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1338 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1339 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1340 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1341 %! 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	1342 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1343 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1344 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1345 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1346 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1347 %! 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	1348 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1349 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1350 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1351 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1352 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1353 %! 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	1354 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1355 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1356 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1357 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1358 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1359 %! 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	1360 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1361 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1362 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1363 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1364 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1365 %! 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	1366 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1367 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1368 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1369 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1370 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1371 %! 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	1372 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1373
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1374 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1375
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1376 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1377
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1378 %% Complex hermitian tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1379 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1380 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1381 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1382 %! 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	1383 %! d0 = eig (A);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1384 %! [~, idx] = sort (abs(d0));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1385 %! d0 = d0(idx);
10777 f2a8f68d9c2b eigs.cc: Initialize random number generator in test blocks Rik <octave@nomad.inbox5.com> parents: 10667 diff changeset	1386 %! rand("state", 42); % initialize generator to make eigs behavior reproducible
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1387 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1388 %! d1 = eigs (A, k);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1389 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1390 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1391 %! d1 = eigs (A,k+1);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1392 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1393 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1394 %! d1 = eigs (A, k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1395 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1396 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1397 %! d1 = eigs (A, k, 'sm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1398 %! assert (abs(d1), abs(d0(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1399 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1400 %! d1 = eigs (A, k, 'lr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1401 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1402 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1403 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1404 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1405 %! d1 = eigs (A, k, 'sr');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1406 %! [~, idx] = sort (real(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1407 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1408 %! assert (real(d1), real(d2(1:k)), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1409 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1410 %! d1 = eigs (A, k, 'li');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1411 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1412 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1413 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1414 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1415 %! d1 = eigs (A, k, 'si');
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1416 %! [~, idx] = sort (imag(abs(d0)));
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1417 %! d2 = d0(idx);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1418 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1419 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1420 %! d1 = eigs (A, k, 4.1);
10667 6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1421 %! [~,idx0] = sort (abs(d0 - 4.1));
6769fbfec739 eigs.cc: Improve documentation string. Rik <octave@nomad.inbox5.com> parents: 10155 diff changeset	1422 %! [~,idx1] = sort (abs(d1 - 4.1));
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1423 %! 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	1424 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1425 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1426 %! d1 = eigs(A, eye(n), k, 'lm');
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1427 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1428 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1429 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1430 %! d1 = eigs(A, eye(n), k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1431 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1432 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1433 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1434 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1435 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1436 %! 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	1437 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1438 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1439 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1440 %! 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	1441 %! 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	1442 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1443 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1444 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1445 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1446 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1447 %! 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	1448 %! 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	1449 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1450 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1451 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-11);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1452 %!testif HAVE_ARPACK
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1453 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1454 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1455 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1456 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1457 %! d1 = eigs (fn, n, k, 'lm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1458 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1459 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1460 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1461 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1462 %! d1 = eigs (fn, n, k, 'sm', opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1463 %! assert (abs(d1), d0(1:k), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1464 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1465 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1466 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1467 %! d1 = eigs (fn, n, k, 4.1, opts);
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1468 %! assert (abs(d1), eigs(A,k,4.1), 1e-11);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1469 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1470 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1471 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1472 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1473 %! 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	1474 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1475 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1476 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1477 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1478 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1479 %! 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	1480 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1481 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1482 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1483 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1484 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1485 %! 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	1486 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1487 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1488 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1489 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1490 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1491 %! 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	1492 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1493 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1494 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1495 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1496 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1497 %! 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	1498 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1499 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1500 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1501 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1502 %! for i=1:k
8702 3c4628550318 eigs.cc: increase tolerance John W. Eaton <jwe@octave.org> parents: 8683 diff changeset	1503 %! 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	1504 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1505
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1506 */

Mercurial > octave

annotate src/DLD-FUNCTIONS/eigs.cc @ 10846:a4f482e66b65