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

annotate src/DLD-FUNCTIONS/eigs.cc @ 8683:e4f89f4a7cf8

eigs.cc (Feigs): avoid warnings; style fixes; return after errors

author	John W. Eaton <jwe@octave.org>
date	Thu, 05 Feb 2009 13:09:22 -0500
parents	e6497be3f3d6
children	3c4628550318

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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	3 Copyright (C) 2005 David Bateman
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)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	62 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	63 eigs_error = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	64 gripe_user_supplied_eval ("eigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	65 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	66 }
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 ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	69 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	70 if (! warned_imaginary && tmp(0).is_complex_type ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	71 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	72 warning ("eigs: ignoring imaginary part returned from user-supplied function");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	73 warned_imaginary = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	74 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	75
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	76 retval = ColumnVector (tmp(0).vector_value ());
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	77
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	78 if (error_state)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	79 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	80 eigs_error = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	81 gripe_user_supplied_eval ("eigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	82 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	83 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	84 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	85 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	86 eigs_error = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	87 gripe_user_supplied_eval ("eigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	88 }
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)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	106 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	107 eigs_error = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	108 gripe_user_supplied_eval ("eigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	109 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	110 }
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 ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	113 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	114 retval = ComplexColumnVector (tmp(0).complex_vector_value ());
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	115
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	116 if (error_state)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	117 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	118 eigs_error = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	119 gripe_user_supplied_eval ("eigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	120 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	121 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	122 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	123 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	124 eigs_error = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	125 gripe_user_supplied_eval ("eigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	126 }
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\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	134 @deftypefn {Loadable Function} {@var{d}} = eigs (@var{a})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	135 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{a}, @var{k})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	136 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{a}, @var{k}, @var{sigma})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	137 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{a}, @var{k}, @var{sigma},@var{opts})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	138 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{a}, @var{b})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	139 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{a}, @var{b}, @var{k})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	140 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{a}, @var{b}, @var{k}, @var{sigma})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	141 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{a}, @var{b}, @var{k}, @var{sigma}, @var{opts})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	142 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	143 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n}, @var{b})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	144 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n}, @var{k})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	145 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n}, @var{b}, @var{k})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	146 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n}, @var{k}, @var{sigma})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	147 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n}, @var{b}, @var{k}, @var{sigma})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	148 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n}, @var{k}, @var{sigma}, @var{opts})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	149 @deftypefnx {Loadable Function} {@var{d}} = eigs (@var{af}, @var{n}, @var{b}, @var{k}, @var{sigma}, @var{opts})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	150 @deftypefnx {Loadable Function} {[@var{v}, @var{d}]} = eigs (@var{a}, @dots{})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	151 @deftypefnx {Loadable Function} {[@var{v}, @var{d}]} = eigs (@var{af}, @var{n}, @dots{})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	152 @deftypefnx {Loadable Function} {[@var{v}, @var{d}, @var{flag}]} = eigs (@var{a}, @dots{})\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	153 @deftypefnx {Loadable Function} {[@var{v}, @var{d}, @var{flag}]} = eigs (@var{af}, @var{n}, @dots{})\n\
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\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	155 based on a selection criteria. The number eigenvalues and eigenvectors to\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	156 calculate is given by @var{k} whose default value is 6.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	157 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	158 By default @code{eigs} solve the equation\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	159 @iftex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	160 @tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	161 $A \\nu = \\lambda \\nu$\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	162 @end tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	163 @end iftex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	164 @ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	165 @code{A * v = lambda * v}\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	166 @end ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	167 , where\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	168 @iftex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	169 @tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	170 $\\lambda$ 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	171 @end tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	172 @end iftex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	173 @ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	174 @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	175 @end ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	176 is the corresponding eigenvector. If given the positive definite matrix\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	177 @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	178 @iftex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	179 @tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	180 $A \\nu = \\lambda B \\nu$\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	181 @end tex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	182 @end iftex\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	183 @ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	184 @code{A * v = lambda * B * v}\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	185 @end ifinfo\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	186 .\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	187 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	188 The argument @var{sigma} determines which eigenvalues are returned.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	189 @var{sigma} can be either a scalar or a string. When @var{sigma} is a scalar,\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	190 the @var{k} eigenvalues closest to @var{sigma} are returned. If @var{sigma}\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	191 is a string, it must have one of the values\n\
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 @table @asis\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	194 @item 'lm'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	195 Largest magnitude (default).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	196 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	197 @item 'sm'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	198 Smallest magnitude.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	199 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	200 @item 'la'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	201 Largest Algebraic (valid only for 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 'sa'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	204 Smallest Algebraic (valid only for real symmetric problems).\n\
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 'be'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	207 Both ends, with one more from the high-end if @var{k} is odd (valid only for\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	208 real symmetric problems).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	209 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	210 @item 'lr'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	211 Largest real part (valid only for complex or unsymmetric problems).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	212 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	213 @item 'sr'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	214 Smallest real part (valid only for complex or unsymmetric problems).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	215 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	216 @item 'li'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	217 Largest imaginary part (valid only for complex or unsymmetric problems).\n\
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 @item 'si'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	220 Smallest imaginary part (valid only for complex or unsymmetric problems).\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	221 @end table\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	222 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	223 If @var{opts} is given, it is a structure defining some of the options that\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	224 @code{eigs} should use. The fields of the structure @var{opts} are\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	225 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	226 @table @code\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	227 @item issym\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	228 If @var{af} is given, then flags whether the function @var{af} defines a\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	229 symmetric problem. It is ignored if @var{a} is given. The default is false.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	230 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	231 @item isreal\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	232 If @var{af} is given, then flags whether the function @var{af} defines a\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	233 real problem. It is ignored if @var{a} is given. The default is true.\n\
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 tol\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	236 Defines the required convergence tolerance, given as @code{tol * norm (A)}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	237 The default is @code{eps}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	238 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	239 @item maxit\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	240 The maximum number of iterations. The default is 300.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	241 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	242 @item p\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	243 The number of Lanzcos basis vectors to use. More vectors will result in\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	244 faster convergence, but a larger amount of memory. The optimal value of 'p'\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	245 is problem dependent and should be in the range @var{k} to @var{n}. The\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	246 default value is @code{2 * @var{k}}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	247 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	248 @item v0\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	249 The starting vector for the computation. The default is to have @sc{Arpack}\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	250 randomly generate a starting vector.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	251 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	252 @item disp\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	253 The level of diagnostic printout. If @code{disp} is 0 then there is no\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	254 printout. The default value is 1.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	255 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	256 @item cholB\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	257 Flag if @code{chol (@var{b})} is passed rather than @var{b}. The default is\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	258 false.\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 @item permB\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	261 The permutation vector of the Cholesky factorization of @var{b} if\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	262 @code{cholB} is true. That is @code{chol ( @var{b} (permB, permB))}. The\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	263 default is @code{1:@var{n}}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	264 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	265 @end table\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	266 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	267 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	268 @var{af} must be followed by a scalar argument @var{n} defining the length\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	269 of the vector argument accepted by @var{af}. @var{af} can be passed either\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	270 as an inline function, function handle or as a string. In the case where\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	271 @var{af} is passed as a string, the name of the string defines the function\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	272 to use.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	273 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	274 @var{af} is a function of the form @code{function y = af (x), y = @dots{};\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	275 endfunction}, where the required return value of @var{af} is determined by\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	276 the value of @var{sigma}, and are\n\
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 @table @code\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	279 @item A * x\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	280 If @var{sigma} is not given or is a string other than 'sm'.\n\
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 \\ x\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	283 If @var{sigma} is 'sm'.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	284 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	285 @item (A - sigma * I) \\ x\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	286 for standard eigenvalue problem, where @code{I} is the identity matrix of\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	287 the same size as @code{A}. If @var{sigma} is zero, this reduces the\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	288 @code{A \\ x}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	289 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	290 @item (A - sigma * B) \\ x\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	291 for the general eigenvalue problem.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	292 @end table\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	293 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	294 The return arguments of @code{eigs} depends on the number of return\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	295 arguments. With a single return argument, a vector @var{d} of length @var{k}\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	296 is returned, represent the @var{k} eigenvalues that have been found. With two\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	297 return arguments, @var{v} is a @var{n}-by-@var{k} matrix whose columns are\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	298 the @var{k} eigenvectors corresponding to the returned eigenvalues. The\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	299 eigenvalues themselves are then returned in @var{d} in the form of a\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	300 @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	301 eigenvalues.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	302 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	303 Given a third return argument @var{flag}, @code{eigs} also returns the status\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	304 of the convergence. If @var{flag} is 0, then all eigenvalues have converged,\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	305 otherwise not.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	306 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	307 This function is based on the @sc{Arpack} package, written by R Lehoucq,\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	308 K Maschhoff, D Sorensen and C Yang. For more information see\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	309 @url{http://www.caam.rice.edu/software/ARPACK/}.\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	310 \n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	311 @end deftypefn\n\
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	312 @seealso{eig, svds}")
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	313 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	314 octave_value_list retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	315 #ifdef HAVE_ARPACK
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	316 int nargin = args.length ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	317 std::string fcn_name;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	318 octave_idx_type n = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	319 octave_idx_type k = 6;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	320 Complex sigma = 0.;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	321 double sigmar, sigmai;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	322 bool have_sigma = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	323 std::string typ = "LM";
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	324 Matrix amm, bmm, bmt;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	325 ComplexMatrix acm, bcm, bct;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	326 SparseMatrix asmm, bsmm, bsmt;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	327 SparseComplexMatrix ascm, bscm, bsct;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	328 int b_arg = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	329 bool have_b = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	330 bool have_a_fun = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	331 bool a_is_complex = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	332 bool b_is_complex = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	333 bool symmetric = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	334 bool cholB = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	335 bool a_is_sparse = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	336 ColumnVector permB;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	337 int arg_offset = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	338 double tol = DBL_EPSILON;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	339 int maxit = 300;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	340 int disp = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	341 octave_idx_type p = -1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	342 ColumnVector resid;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	343 ComplexColumnVector cresid;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	344 octave_idx_type info = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	345 char bmat = 'I';
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	346
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	347 warned_imaginary = false;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	348
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	349 unwind_protect::begin_frame ("Feigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	350
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	351 unwind_protect_int (call_depth);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	352 call_depth++;
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 (call_depth > 1)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	355 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	356 error ("eigs: invalid recursive call");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	357 if (fcn_name.length())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	358 clear_function (fcn_name);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	359 unwind_protect::run_frame ("Feigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	360 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	361 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	362
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	363 if (nargin == 0)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	364 print_usage ();
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	365 else if (args(0).is_function_handle () \|\| args(0).is_inline_function ()
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	366 \|\| args(0).is_string ())
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	367 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	368 if (args(0).is_string ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	369 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	370 std::string name = args(0).string_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	371 std::string fname = "function y = ";
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	372 fcn_name = unique_symbol_name ("__eigs_fcn_");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	373 fname.append (fcn_name);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	374 fname.append ("(x) y = ");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	375 eigs_fcn = extract_function (args(0), "eigs", fcn_name, fname,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	376 "; endfunction");
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 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	379 eigs_fcn = args(0).function_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	380
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	381 if (!eigs_fcn)
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	382 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	383 error ("eigs: unknown function");
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	384 return retval;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	385 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	386
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	387 if (nargin < 2)
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	388 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	389 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	390 return retval;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	391 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	392 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	393 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	394 n = args(1).nint_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	395 arg_offset = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	396 have_a_fun = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	397 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	398 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	399 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	400 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	401 if (args(0).is_complex_type ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	402 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	403 if (args(0).is_sparse_type ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	404 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	405 ascm = (args(0).sparse_complex_matrix_value());
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	406 a_is_sparse = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	407 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	408 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	409 acm = (args(0).complex_matrix_value());
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	410 a_is_complex = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	411 symmetric = false; // ARAPACK doesn't special case complex symmetric
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	412 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	413 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	414 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	415 if (args(0).is_sparse_type ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	416 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	417 asmm = (args(0).sparse_matrix_value());
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	418 a_is_sparse = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	419 symmetric = asmm.is_symmetric();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	420 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	421 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	422 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	423 amm = (args(0).matrix_value());
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	424 symmetric = amm.is_symmetric();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	425 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	426 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	427
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	428 // Note hold off reading B till later to avoid issues of double
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	429 // copies of the matrix if B is full/real while A is complex..
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	430 if (!error_state && nargin > 1 && !(args(1).is_real_scalar ()))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	431 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	432 if (args(1).is_complex_type ())
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	433 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	434 b_arg = 1+arg_offset;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	435 have_b = true;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	436 bmat = 'G';
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	437 b_is_complex = true;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	438 arg_offset++;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	439 }
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	440 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	441 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	442 b_arg = 1+arg_offset;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	443 have_b = true;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	444 bmat = 'G';
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	445 arg_offset++;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	446 }
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	447 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	448 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	449
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	450 if (!error_state && nargin > (1+arg_offset))
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	451 k = args(1+arg_offset).nint_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	452
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	453 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	454 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	455 if (args(2+arg_offset).is_real_scalar ()
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	456 \|\| args(2+arg_offset).is_complex_scalar ())
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	457 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	458 sigma = args(2+arg_offset).complex_value ();
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	459 have_sigma = true;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	460 }
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	461 else if (args(2+arg_offset).is_string ())
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	462 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	463 typ = args(2+arg_offset).string_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	464
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	465 // Use STL function to convert to upper case
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	466 transform (typ.begin (), typ.end (), typ.begin (), toupper);
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	467
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	468 sigma = 0.;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	469 }
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	470 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	471 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	472 error ("eigs: sigma must be a scalar or a string");
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	473 return retval;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	474 }
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	475 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	476
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	477 sigmar = std::real (sigma);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	478 sigmai = std::imag (sigma);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	479
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	480 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	481 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	482 if (args(3+arg_offset).is_map ())
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	483 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	484 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	485
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	486 // issym is ignored if A is not a function
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	487 if (map.contains ("issym") && have_a_fun)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	488 symmetric = map.contents ("issym")(0).double_value () != 0.;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	489
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	490 // isreal is ignored if A is not a function
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	491 if (map.contains ("isreal") && have_a_fun)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	492 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	493
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	494 if (map.contains ("tol"))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	495 tol = map.contents ("tol")(0).double_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	496
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	497 if (map.contains ("maxit"))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	498 maxit = map.contents ("maxit")(0).nint_value ();
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	499
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	500 if (map.contains ("p"))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	501 p = map.contents ("p")(0).nint_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	502
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	503 if (map.contains ("v0"))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	504 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	505 if (a_is_complex \|\| b_is_complex)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	506 cresid = ComplexColumnVector
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	507 (map.contents ("v0")(0).complex_vector_value());
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	508 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	509 resid = ColumnVector (map.contents ("v0")(0).vector_value());
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	510 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	511
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	512 if (map.contains ("disp"))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	513 disp = map.contents ("disp")(0).nint_value ();
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	514
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	515 if (map.contains ("cholB"))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	516 cholB = map.contents ("cholB")(0).double_value () != 0.;
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	517
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	518 if (map.contains ("permB"))
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	519 permB = ColumnVector (map.contents ("permB")(0).vector_value ())
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	520 - 1.0;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	521 }
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	522 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	523 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	524 error ("eigs: options argument must be a structure");
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	525 return retval;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	526 }
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 (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	530 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	531 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	532 return retval;
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	533 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	534
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	535 if (have_b)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	536 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	537 if (a_is_complex \|\| b_is_complex)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	538 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	539 if (a_is_sparse)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	540 bscm = args(b_arg).sparse_complex_matrix_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	541 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	542 bcm = args(b_arg).complex_matrix_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	543 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	544 else
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 if (a_is_sparse)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	547 bsmm = args(b_arg).sparse_matrix_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	548 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	549 bmm = args(b_arg).matrix_value ();
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	550 }
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	553 // 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	554 // Use Mode 3 instead, with sigma = 0.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	555 if (!error_state && !have_sigma && typ == "SM")
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	556 have_sigma = true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	557
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	558 if (!error_state)
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 octave_idx_type nconv;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	561 if (a_is_complex \|\| b_is_complex)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	562 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	563 ComplexMatrix eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	564 ComplexColumnVector eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	565
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	566
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	567 if (have_a_fun)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	568 nconv = EigsComplexNonSymmetricFunc
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	569 (eigs_complex_func, n, typ, sigma, k, p, info, eig_vec, eig_val,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	570 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	571 else if (have_sigma)
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	572 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	573 if (a_is_sparse)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	574 nconv = EigsComplexNonSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	575 (ascm, sigma, k, p, info, eig_vec, eig_val, bscm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	576 cresid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	577 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	578 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	579 nconv = EigsComplexNonSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	580 (acm, sigma, k, p, info, eig_vec, eig_val, bcm, permB, cresid,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	581 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	582 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	583 else
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	584 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	585 if (a_is_sparse)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	586 nconv = EigsComplexNonSymmetricMatrix
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	587 (ascm, typ, k, p, info, eig_vec, eig_val, bscm, permB, cresid,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	588 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	589 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	590 nconv = EigsComplexNonSymmetricMatrix
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	591 (acm, typ, k, p, info, eig_vec, eig_val, bcm, permB, cresid,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	592 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	593 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	594
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	595 if (nargout < 2)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	596 retval (0) = eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	597 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	598 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	599 retval(2) = double (info);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	600 retval(1) = ComplexDiagMatrix (eig_val);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	601 retval(0) = eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	602 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	603 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	604 else if (sigmai != 0.)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	605 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	606 // Promote real problem to a complex one.
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	607 ComplexMatrix eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	608 ComplexColumnVector eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	609
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	610 if (have_a_fun)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	611 nconv = EigsComplexNonSymmetricFunc
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	612 (eigs_complex_func, n, typ, sigma, k, p, info, eig_vec, eig_val,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	613 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	614 else
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	615 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	616 if (a_is_sparse)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	617 nconv = EigsComplexNonSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	618 (SparseComplexMatrix (asmm), sigma, k, p, info, eig_vec,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	619 eig_val, SparseComplexMatrix (bsmm), permB, cresid,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	620 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	621 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	622 nconv = EigsComplexNonSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	623 (ComplexMatrix (amm), sigma, k, p, info, eig_vec,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	624 eig_val, ComplexMatrix (bmm), permB, cresid,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	625 octave_stdout, tol, (nargout > 1), cholB, disp, maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	626 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	627
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	628 if (nargout < 2)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	629 retval (0) = eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	630 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	631 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	632 retval(2) = double (info);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	633 retval(1) = ComplexDiagMatrix (eig_val);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	634 retval(0) = eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	635 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	636 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	637 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	638 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	639 if (symmetric)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	640 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	641 Matrix eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	642 ColumnVector eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	643
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	644 if (have_a_fun)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	645 nconv = EigsRealSymmetricFunc
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	646 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	647 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	648 maxit);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	649 else if (have_sigma)
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	650 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	651 if (a_is_sparse)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	652 nconv = EigsRealSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	653 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	654 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	655 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	656 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	657 nconv = EigsRealSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	658 (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	659 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	660 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	661 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	662 else
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	663 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	664 if (a_is_sparse)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	665 nconv = EigsRealSymmetricMatrix
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	666 (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	667 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	668 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	669 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	670 nconv = EigsRealSymmetricMatrix
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	671 (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	672 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	673 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	674 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	675
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	676 if (nargout < 2)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	677 retval (0) = eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	678 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	679 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	680 retval(2) = double (info);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	681 retval(1) = DiagMatrix (eig_val);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	682 retval(0) = eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	683 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	684 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	685 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	686 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	687 ComplexMatrix eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	688 ComplexColumnVector eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	689
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	690 if (have_a_fun)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	691 nconv = EigsRealNonSymmetricFunc
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	692 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	693 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	694 maxit);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	695 else if (have_sigma)
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	696 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	697 if (a_is_sparse)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	698 nconv = EigsRealNonSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	699 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	700 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	701 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	702 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	703 nconv = EigsRealNonSymmetricMatrixShift
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	704 (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	705 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	706 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	707 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	708 else
8683 e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	709 {
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	710 if (a_is_sparse)
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	711 nconv = EigsRealNonSymmetricMatrix
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	712 (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	713 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	714 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	715 else
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	716 nconv = EigsRealNonSymmetricMatrix
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	717 (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	718 resid, octave_stdout, tol, (nargout > 1), cholB, disp,
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	719 maxit);
e4f89f4a7cf8 eigs.cc (Feigs): avoid warnings; style fixes; return after errors John W. Eaton <jwe@octave.org> parents: 8585 diff changeset	720 }
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	721
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	722 if (nargout < 2)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	723 retval (0) = eig_val;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	724 else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	725 {
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	726 retval(2) = double (info);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	727 retval(1) = ComplexDiagMatrix (eig_val);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	728 retval(0) = eig_vec;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	729 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	730 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	731 }
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 if (nconv <= 0)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	734 warning ("eigs: None of the %d requested eigenvalues converged", k);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	735 else if (nconv < k)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	736 warning ("eigs: Only %d of the %d requested eigenvalues converged",
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	737 nconv, k);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	738 }
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 if (! fcn_name.empty ())
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	741 clear_function (fcn_name);
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 unwind_protect::run_frame ("Feigs");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	744 #else
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	745 error ("eigs: not available in this version of Octave");
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	746 #endif
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	747
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	748 return retval;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	749 }
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	750
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	751 /* #### SPARSE MATRIX VERSIONS #### */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	752
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	753 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	754
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	755 %% Real positive definite tests, n must be even
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	756 %!shared n, k, A, d0, d2
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	757 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	758 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	759 %! 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	760 %! d0 = eig (A);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	761 %! d2 = sort(d0);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	762 %! [dum, idx] = sort( abs(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	763 %! d0 = d0(idx);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	764 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	765 %! d1 = eigs (A, k);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	766 %! assert (d1, d0(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	767 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	768 %! d1 = eigs (A,k+1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	769 %! assert (d1, d0(end:-1:(end-k)),1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	770 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	771 %! d1 = eigs (A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	772 %! assert (d1, d0(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	773 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	774 %! d1 = eigs (A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	775 %! assert (d1, d0(k:-1:1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	776 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	777 %! d1 = eigs (A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	778 %! assert (d1, d2(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	779 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	780 %! d1 = eigs (A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	781 %! assert (d1, d2(1:k), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	782 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	783 %! d1 = eigs (A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	784 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	785 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	786 %! d1 = eigs (A, k+1, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	787 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	788 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	789 %! d1 = eigs (A, k, 4.1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	790 %! [dum,idx0] = sort (abs(d0 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	791 %! [dum,idx1] = sort (abs(d1 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	792 %! assert (d1(idx1), d0(idx0(1:k)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	793 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	794 %! d1 = eigs(A, speye(n), k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	795 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	796 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	797 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	798 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	799 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	800 %! d1 = eigs(A, speye(n), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	801 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	802 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	803 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	804 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	805 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	806 %! d1 = eigs(A, speye(n)(q,q), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	807 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	808 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	809 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	810 %! d1 = eigs(A, speye(n), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	811 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	812 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	813 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	814 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	815 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	816 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	817 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	818 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	819 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	820 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	821 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	822 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	823 %! d1 = eigs (fn, n, k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	824 %! assert (d1, d0(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	825 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	826 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	827 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	828 %! d1 = eigs (fn, n, k, 'sm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	829 %! assert (d1, d0(k:-1:1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	830 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	831 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	832 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	833 %! d1 = eigs (fn, n, k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	834 %! assert (d1, eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	835 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	836 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	837 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	838 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	839 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	840 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	841 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	842 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	843 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	844 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	845 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	846 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	847 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	848 %! [v1,d1] = eigs(A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	849 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	850 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	851 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	852 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	853 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	854 %! [v1,d1] = eigs(A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	855 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	856 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	857 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	858 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	859 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	860 %! [v1,d1] = eigs(A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	861 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	862 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	863 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	864 %! endfor
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 /*
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	869
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	870 %% Real unsymmetric tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	871 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	872 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	873 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	874 %! 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	875 %! d0 = eig (A);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	876 %! [dum, idx] = sort(abs(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	877 %! d0 = d0(idx);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	878 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	879 %! d1 = eigs (A, k);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	880 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	881 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	882 %! d1 = eigs (A,k+1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	883 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	884 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	885 %! d1 = eigs (A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	886 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	887 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	888 %! d1 = eigs (A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	889 %! assert (abs(d1), abs(d0(1:k)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	890 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	891 %! d1 = eigs (A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	892 %! [dum, idx] = sort (real(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	893 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	894 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	895 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	896 %! d1 = eigs (A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	897 %! [dum, idx] = sort (real(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	898 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	899 %! assert (real(d1), real(d2(1:k)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	900 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	901 %! d1 = eigs (A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	902 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	903 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	904 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	905 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	906 %! d1 = eigs (A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	907 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	908 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	909 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	910 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	911 %! d1 = eigs (A, k, 4.1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	912 %! [dum,idx0] = sort (abs(d0 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	913 %! [dum,idx1] = sort (abs(d1 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	914 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	915 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	916 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	917 %! d1 = eigs(A, speye(n), k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	918 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	919 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	920 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	921 %! d1 = eigs(A, speye(n), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	922 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	923 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	924 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	925 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	926 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	927 %! d1 = eigs(A, speye(n)(q,q), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	928 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	929 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	930 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	931 %! d1 = eigs(A, speye(n), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	932 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	933 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	934 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	935 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	936 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	937 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	938 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	939 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	940 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-12);
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	941 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	942 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	943 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	944 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	945 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	946 %! d1 = eigs (fn, n, k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	947 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	948 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	949 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	950 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	951 %! d1 = eigs (fn, n, k, 'sm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	952 %! assert (abs(d1), d0(1:k), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	953 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	954 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	955 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	956 %! d1 = eigs (fn, n, k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	957 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	958 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	959 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	960 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	961 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	962 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	963 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	964 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	965 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	966 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	967 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	968 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	969 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	970 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	971 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	972 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	973 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	974 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	975 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	976 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	977 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	978 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	979 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	980 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	981 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	982 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	983 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	984 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	985 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	986 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	987 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	988 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	989 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	990 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	991 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	992 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	993 %! endfor
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	999 %% Complex hermitian tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1000 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1001 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1002 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1003 %! 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	1004 %! d0 = eig (A);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1005 %! [dum, idx] = sort(abs(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1006 %! d0 = d0(idx);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1009 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1012 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-12);
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');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1015 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1018 %! assert (abs(d1), abs(d0(1:k)), 1e-12);
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');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1021 %! [dum, idx] = sort (real(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1022 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1023 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-12);
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');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1026 %! [dum, idx] = sort (real(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1027 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1028 %! assert (real(d1), real(d2(1:k)), 1e-12);
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');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1031 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1032 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1033 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-12);
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');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1036 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1037 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1038 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1041 %! [dum,idx0] = sort (abs(d0 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1042 %! [dum,idx1] = sort (abs(d1 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1043 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1044 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-12);
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');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1047 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1051 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1057 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1061 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1062 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1068 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1069 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1070 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1071 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-12);
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1072 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1073 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1078 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1083 %! assert (abs(d1), d0(1:k), 1e-12);
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1088 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1093 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1099 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1105 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1111 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1117 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
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
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1123 %! assert(max(abs((A - d1(i)speye(n))v1(:,i))),0.,1e-12)
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);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1138 %! d2 = sort(d0);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1139 %! [dum, idx] = sort( abs(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1140 %! d0 = d0(idx);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1141 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1142 %! d1 = eigs (A, k);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1143 %! assert (d1, d0(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1144 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1145 %! d1 = eigs (A,k+1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1146 %! assert (d1, d0(end:-1:(end-k)),1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1147 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1148 %! d1 = eigs (A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1149 %! assert (d1, d0(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1150 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1151 %! d1 = eigs (A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1152 %! assert (d1, d0(k:-1:1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1153 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1154 %! d1 = eigs (A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1155 %! assert (d1, d2(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1156 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1157 %! d1 = eigs (A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1158 %! assert (d1, d2(1:k), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1159 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1160 %! d1 = eigs (A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1161 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1162 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1163 %! d1 = eigs (A, k+1, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1164 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1165 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1166 %! d1 = eigs (A, k, 4.1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1167 %! [dum,idx0] = sort (abs(d0 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1168 %! [dum,idx1] = sort (abs(d1 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1169 %! assert (d1(idx1), d0(idx0(1:k)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1170 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1171 %! d1 = eigs(A, eye(n), k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1172 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1173 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1174 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1175 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1176 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1177 %! d1 = eigs(A, eye(n), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1178 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1179 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1180 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1181 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1182 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1183 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1184 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1185 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1186 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1187 %! d1 = eigs(A, eye(n), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1188 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1189 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1190 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1191 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1192 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1193 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1194 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1195 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1196 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1197 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1198 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1199 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1200 %! d1 = eigs (fn, n, k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1201 %! assert (d1, d0(end:-1:(end-k+1)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1202 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1203 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1204 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1205 %! d1 = eigs (fn, n, k, 'sm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1206 %! assert (d1, d0(k:-1:1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1207 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1208 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1209 %! opts.issym = 1; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1210 %! d1 = eigs (fn, n, k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1211 %! assert (d1, eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1212 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1213 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1214 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1215 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1216 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1217 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1218 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1219 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1220 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1221 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1222 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1223 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1224 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1225 %! [v1,d1] = eigs(A, k, 'la');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1226 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1227 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1228 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1229 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1230 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1231 %! [v1,d1] = eigs(A, k, 'sa');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1232 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1233 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1234 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1235 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1236 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1237 %! [v1,d1] = eigs(A, k, 'be');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1238 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1239 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1240 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1241 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1242
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 %% Real unsymmetric tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1248 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1249 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1250 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1251 %! 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	1252 %! d0 = eig (A);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1253 %! [dum, idx] = sort(abs(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1254 %! d0 = d0(idx);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1255 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1256 %! d1 = eigs (A, k);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1257 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1258 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1259 %! d1 = eigs (A,k+1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1260 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1261 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1262 %! d1 = eigs (A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1263 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1264 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1265 %! d1 = eigs (A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1266 %! assert (abs(d1), abs(d0(1:k)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1267 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1268 %! d1 = eigs (A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1269 %! [dum, idx] = sort (real(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1270 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1271 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1272 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1273 %! d1 = eigs (A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1274 %! [dum, idx] = sort (real(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1275 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1276 %! assert (real(d1), real(d2(1:k)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1277 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1278 %! d1 = eigs (A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1279 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1280 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1281 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1282 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1283 %! d1 = eigs (A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1284 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1285 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1286 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1287 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1288 %! d1 = eigs (A, k, 4.1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1289 %! [dum,idx0] = sort (abs(d0 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1290 %! [dum,idx1] = sort (abs(d1 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1291 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1292 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1293 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1294 %! d1 = eigs(A, eye(n), k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1295 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1296 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1297 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1298 %! d1 = eigs(A, eye(n), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1299 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1300 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1301 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1302 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1303 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1304 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1305 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1306 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1307 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1308 %! d1 = eigs(A, eye(n), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1309 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1310 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1311 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1312 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1313 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1314 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1315 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1316 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1317 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-12);
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1318 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1319 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1320 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1321 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1322 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1323 %! d1 = eigs (fn, n, k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1324 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1325 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1326 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1327 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1328 %! d1 = eigs (fn, n, k, 'sm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1329 %! assert (abs(d1), d0(1:k), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1330 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1331 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1332 %! opts.issym = 0; opts.isreal = 1;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1333 %! d1 = eigs (fn, n, k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1334 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1335 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1336 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1337 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1338 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1339 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1340 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1341 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1342 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1343 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1344 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1345 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1346 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1347 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1348 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1349 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1350 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1351 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1352 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1353 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1354 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1355 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1356 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1357 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1358 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1359 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1360 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1361 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1362 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1363 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1364 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1365 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1366 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1367 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1368 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1369 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1370 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1371
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1372 */
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 %% Complex hermitian tests
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1377 %!shared n, k, A, d0
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1378 %! n = 20;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1379 %! k = 4;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1380 %! 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	1381 %! d0 = eig (A);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1382 %! [dum, idx] = sort(abs(d0));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1383 %! d0 = d0(idx);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1384 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1385 %! d1 = eigs (A, k);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1386 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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+1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1389 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-12);
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, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1392 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1395 %! assert (abs(d1), abs(d0(1:k)), 1e-12);
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, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1398 %! [dum, idx] = sort (real(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1399 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1400 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1401 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1402 %! d1 = eigs (A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1403 %! [dum, idx] = sort (real(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1404 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1405 %! assert (real(d1), real(d2(1:k)), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1406 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1407 %! d1 = eigs (A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1408 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1409 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1410 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1411 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1412 %! d1 = eigs (A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1413 %! [dum, idx] = sort (imag(abs(d0)));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1414 %! d2 = d0(idx);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1415 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1416 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1417 %! d1 = eigs (A, k, 4.1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1418 %! [dum,idx0] = sort (abs(d0 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1419 %! [dum,idx1] = sort (abs(d1 - 4.1));
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1420 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1421 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1422 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1423 %! d1 = eigs(A, eye(n), k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1424 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
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 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1427 %! d1 = eigs(A, eye(n), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1428 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1429 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1430 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1431 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1432 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1433 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1434 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1435 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1436 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1437 %! d1 = eigs(A, eye(n), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1438 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1439 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1440 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1441 %! opts.cholB=true;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1442 %! q = [2:n,1];
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1443 %! opts.permB=q;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1444 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1445 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-12);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1446 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-12);
8585 e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1447 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1448 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-12);
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1449 %!testif HAVE_ARPACK
e6497be3f3d6 Skip tests if ARPACK is missing. Ben Abbott <bpabbott@mac.com> parents: 8420 diff changeset	1450 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1451 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1452 %! fn = @(x) A * x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1453 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1454 %! d1 = eigs (fn, n, k, 'lm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1455 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1456 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1457 %! fn = @(x) A \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1458 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1459 %! d1 = eigs (fn, n, k, 'sm', opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1460 %! assert (abs(d1), d0(1:k), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1461 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1462 %! fn = @(x) (A - 4.1 * eye(n)) \ x;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1463 %! opts.issym = 0; opts.isreal = 0;
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1464 %! d1 = eigs (fn, n, k, 4.1, opts);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1465 %! assert (abs(d1), eigs(A,k,4.1), 1e-12);
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1466 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1467 %! [v1,d1] = eigs(A, k, 'lm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1468 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1469 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1470 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1471 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1472 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1473 %! [v1,d1] = eigs(A, k, 'sm');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1474 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1475 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1476 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1477 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1478 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1479 %! [v1,d1] = eigs(A, k, 'lr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1480 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1481 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1482 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1483 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1484 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1485 %! [v1,d1] = eigs(A, k, 'sr');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1486 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1487 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1488 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1489 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1490 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1491 %! [v1,d1] = eigs(A, k, 'li');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1492 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1493 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1494 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1495 %! endfor
8420 9038f311c1a8 eigs.cc: skip tests if ARPACK is missing John W. Eaton <jwe@octave.org> parents: 8417 diff changeset	1496 %!testif HAVE_ARPACK
8417 654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1497 %! [v1,d1] = eigs(A, k, 'si');
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1498 %! d1 = diag(d1);
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1499 %! for i=1:k
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1500 %! assert(max(abs((A - d1(i)eye(n))v1(:,i))),0.,1e-12)
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1501 %! endfor
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1502
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1503 */
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1504
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 ;;; Local Variables: ***
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1507 ;;; mode: C++ ***
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1508 ;;; End: ***
654bcfb937bf Add the eigs and svds functions David Bateman <dbateman@free.fr> parents: diff changeset	1509 */

Mercurial > hg > octave-lyh

annotate src/DLD-FUNCTIONS/eigs.cc @ 8683:e4f89f4a7cf8