Mercurial > jwe > octave

annotate libinterp/corefcn/mgorth.cc @ 21139:538b57866b90

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
consistently use "typename" intead of "class" in template declarations * Object.h, QtHandlesUtils.cc, QtHandlesUtils.h, ToolBarButton.cc, ToolBarButton.h, Cell.h, __lin_interpn__.cc, bitfcns.cc, bsxfun.cc, cellfun.cc, data.cc, filter.cc, gcd.cc, graphics.cc, help.cc, kron.cc, lookup.cc, ls-mat5.cc, ls-oct-text.h, lu.cc, max.cc, mgorth.cc, oct-map.cc, oct-map.h, oct-stream.cc, oct-stream.h, octave-link.h, pr-output.cc, profiler.h, schur.cc, sparse-xdiv.cc, sparse-xpow.cc, sqrtm.cc, symtab.h, tril.cc, typecast.cc, variables.cc, xdiv.cc, zfstream.h, __init_fltk__.cc, __magick_read__.cc, chol.cc, qr.cc, ov-base-diag.cc, ov-base-diag.h, ov-base-int.cc, ov-base-int.h, ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.cc, ov-base-scalar.h, ov-base-sparse.cc, ov-base-sparse.h, ov-base.h, ov-classdef.cc, ov-int-traits.h, ov-java.h, ov-usr-fcn.h, ov.cc, ov.h, op-dms-template.cc, oct-parse.in.yy, parse.h, pt-mat.cc, Array-b.cc, Array.cc, Array.h, CDiagMatrix.h, CMatrix.h, CNDArray.h, DiagArray2.cc, DiagArray2.h, MArray.cc, MArray.h, MDiagArray2.cc, MDiagArray2.h, MSparse.cc, MSparse.h, MatrixType.cc, Sparse.cc, Sparse.h, dDiagMatrix.h, dMatrix.h, dNDArray.h, fCDiagMatrix.h, fCMatrix.h, fCNDArray.h, fDiagMatrix.h, fMatrix.h, fNDArray.h, idx-vector.cc, idx-vector.h, intNDArray.cc, intNDArray.h, DET.h, base-aepbal.h, base-lu.cc, base-lu.h, base-qr.cc, base-qr.h, bsxfun-defs.cc, eigs-base.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, oct-convn.cc, oct-fftw.cc, oct-norm.cc, sparse-base-chol.cc, sparse-base-chol.h, sparse-base-lu.cc, sparse-base-lu.h, sparse-dmsolve.cc, mx-inlines.cc, action-container.h, base-list.h, lo-traits.h, lo-utils.h, oct-base64.h, oct-binmap.h, oct-cmplx.h, oct-inttypes.cc, oct-inttypes.h, oct-locbuf.h, oct-refcount.h, oct-sort.cc, oct-sort.h: Use "typename" instead of "class" in template declarations.
author John W. Eaton <jwe@octave.org>
date Sun, 24 Jan 2016 13:50:04 -0500
parents e39e05d90788
children fcac5dbbf9ed
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
1 /*
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
2
19697
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
parents: 17787
diff changeset
3 Copyright (C) 2009-2015 Carlo de Falco
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
4 Copyright (C) 2010 VZLU Prague
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
5
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
6 This file is part of Octave.
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
7
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
8 Octave is free software; you can redistribute it and/or modify it
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
9 under the terms of the GNU General Public License as published by the
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
10 Free Software Foundation; either version 3 of the License, or (at your
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
11 option) any later version.
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
12
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
13 Octave is distributed in the hope that it will be useful, but WITHOUT
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
16 for more details.
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
17
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
18 You should have received a copy of the GNU General Public License
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
19 along with Octave; see the file COPYING. If not, see
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
20 <http://www.gnu.org/licenses/>.
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
21
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
22 */
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
23
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
24 #ifdef HAVE_CONFIG_H
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
25 #include <config.h>
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
26 #endif
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
27
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
28 #include "oct-norm.h"
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14846
diff changeset
29 #include "defun.h"
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
30 #include "error.h"
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 20939
diff changeset
31 #include "errwarn.h"
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
32
21139
538b57866b90 consistently use "typename" intead of "class" in template declarations
John W. Eaton <jwe@octave.org>
parents: 21100
diff changeset
33 template <typename ColumnVector, typename Matrix, typename RowVector>
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12509
diff changeset
34 static void
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12509
diff changeset
35 do_mgorth (ColumnVector& x, const Matrix& V, RowVector& h)
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
36 {
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
37 octave_idx_type Vc = V.columns ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
38 h = RowVector (Vc + 1);
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
39 for (octave_idx_type j = 0; j < Vc; j++)
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
40 {
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
41 ColumnVector Vcj = V.column (j);
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
42 h(j) = RowVector (Vcj.hermitian ()) * x;
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
43 x -= h(j) * Vcj;
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
44 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
45
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
46 h(Vc) = xnorm (x);
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
47 if (real (h(Vc)) > 0)
20230
e914b5399c67 Use in-place operators in C++ code where possible.
Rik <rik@octave.org>
parents: 20172
diff changeset
48 x /= h(Vc);
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
49 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
50
20915
a3359fe50966 remove unused nargout variables
John W. Eaton <jwe@octave.org>
parents: 20909
diff changeset
51 DEFUN (mgorth, args, ,
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
52 "-*- texinfo -*-\n\
20853
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents: 20819
diff changeset
53 @deftypefn {} {[@var{y}, @var{h}] =} mgorth (@var{x}, @var{v})\n\
15405
6d4cd994ea71 corrections to the doc for mgorth
Ed Meyer <eem2314@gmail.com>
parents: 15195
diff changeset
54 Orthogonalize a given column vector @var{x} with respect to a set of\n\
20172
4f45eaf83908 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
55 orthonormal vectors comprising the columns of @var{v} using the modified\n\
4f45eaf83908 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
56 Gram-Schmidt method.\n\
4f45eaf83908 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 19697
diff changeset
57 \n\
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
58 On exit, @var{y} is a unit vector such that:\n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
59 \n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
60 @example\n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
61 @group\n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
62 norm (@var{y}) = 1\n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
63 @var{v}' * @var{y} = 0\n\
15405
6d4cd994ea71 corrections to the doc for mgorth
Ed Meyer <eem2314@gmail.com>
parents: 15195
diff changeset
64 @var{x} = [@var{v}, @var{y}]*@var{h}'\n\
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
65 @end group\n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
66 @end example\n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
67 \n\
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
68 @end deftypefn")
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
69 {
20909
03e4ddd49396 omit unnecessary nargout checks
John W. Eaton <jwe@octave.org>
parents: 20884
diff changeset
70 if (args.length () != 2)
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20230
diff changeset
71 print_usage ();
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
72
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
73 octave_value arg_x = args(0);
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
74 octave_value arg_v = args(1);
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
75
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
76 if (arg_v.ndims () != 2 || arg_x.ndims () != 2 || arg_x.columns () != 1
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
77 || arg_v.rows () != arg_x.rows ())
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20915
diff changeset
78 error ("mgorth: V should be a matrix, and X a column vector with"
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20915
diff changeset
79 " the same number of rows as V.");
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
80
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
81 if (! arg_x.is_numeric_type () && ! arg_v.is_numeric_type ())
20939
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20915
diff changeset
82 error ("mgorth: X and V must be numeric");
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20915
diff changeset
83
b17fda023ca6 maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents: 20915
diff changeset
84 octave_value_list retval;
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12509
diff changeset
85
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
86 bool iscomplex = (arg_x.is_complex_type () || arg_v.is_complex_type ());
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
87 if (arg_x.is_single_type () || arg_v.is_single_type ())
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
88 {
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
89 if (iscomplex)
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
90 {
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
91 FloatComplexColumnVector x
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
92 = arg_x.float_complex_column_vector_value ();
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
93 FloatComplexMatrix V = arg_v.float_complex_matrix_value ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
94 FloatComplexRowVector h;
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
95 do_mgorth (x, V, h);
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
96 retval = ovl (x, h);
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
97 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
98 else
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
99 {
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
100 FloatColumnVector x = arg_x.float_column_vector_value ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
101 FloatMatrix V = arg_v.float_matrix_value ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
102 FloatRowVector h;
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
103 do_mgorth (x, V, h);
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
104 retval = ovl (x, h);
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
105 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
106 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
107 else
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
108 {
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
109 if (iscomplex)
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
110 {
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
111 ComplexColumnVector x = arg_x.complex_column_vector_value ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
112 ComplexMatrix V = arg_v.complex_matrix_value ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
113 ComplexRowVector h;
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
114 do_mgorth (x, V, h);
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
115 retval = ovl (x, h);
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
116 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
117 else
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
118 {
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
119 ColumnVector x = arg_x.column_vector_value ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
120 Matrix V = arg_v.matrix_value ();
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
121 RowVector h;
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
122 do_mgorth (x, V, h);
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
123 retval = ovl (x, h);
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
124 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
125 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
126
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
127 return retval;
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
128 }
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
129
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
130 /*
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
131 %!test
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
132 %! for ii=1:100
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
133 %! assert (abs (mgorth (randn (5, 1), eye (5, 4))), [0 0 0 0 1]', eps);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
134 %! endfor
12509
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
135
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
136 %!test
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
137 %! a = hilb (5);
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
138 %! a(:, 1) /= norm (a(:, 1));
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
139 %! for ii = 1:5
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
140 %! a(:, ii) = mgorth (a(:, ii), a(:, 1:ii-1));
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
141 %! endfor
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
142 %! assert (a' * a, eye (5), 1e10);
e742720c5e71 Add mgorth and gmres functions from Octave Forge
Carlo de Falco <kingcrimson@tiscali.it>
parents:
diff changeset
143 */