Mercurial > octave-nkf
annotate src/DLD-FUNCTIONS/eigs.cc @ 11553:01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Use same variable names in error() strings and in documentation.
author | Rik <octave@nomad.inbox5.com> |
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date | Sun, 16 Jan 2011 22:13:23 -0800 |
parents | fd0a3ac60b0e |
children | 12df7854fa7c |
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1 /* |
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2 |
11523 | 3 Copyright (C) 2005-2011 David Bateman |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 3 of the License, or (at your |
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10 option) any later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include "ov.h" |
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28 #include "defun-dld.h" |
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29 #include "error.h" |
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30 #include "gripes.h" |
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31 #include "quit.h" |
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32 #include "variables.h" |
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33 #include "ov-re-sparse.h" |
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34 #include "ov-cx-sparse.h" |
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35 #include "oct-map.h" |
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36 #include "pager.h" |
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37 #include "unwind-prot.h" |
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38 |
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39 #include "eigs-base.cc" |
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40 |
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41 // Global pointer for user defined function. |
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42 static octave_function *eigs_fcn = 0; |
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43 |
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44 // Have we warned about imaginary values returned from user function? |
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45 static bool warned_imaginary = false; |
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46 |
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47 // Is this a recursive call? |
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48 static int call_depth = 0; |
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49 |
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50 ColumnVector |
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51 eigs_func (const ColumnVector &x, int &eigs_error) |
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52 { |
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53 ColumnVector retval; |
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54 octave_value_list args; |
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55 args(0) = x; |
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56 |
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57 if (eigs_fcn) |
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58 { |
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59 octave_value_list tmp = eigs_fcn->do_multi_index_op (1, args); |
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60 |
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61 if (error_state) |
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62 { |
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63 eigs_error = 1; |
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64 gripe_user_supplied_eval ("eigs"); |
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65 return retval; |
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66 } |
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67 |
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68 if (tmp.length () && tmp(0).is_defined ()) |
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69 { |
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70 if (! warned_imaginary && tmp(0).is_complex_type ()) |
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71 { |
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72 warning ("eigs: ignoring imaginary part returned from user-supplied function"); |
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73 warned_imaginary = true; |
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74 } |
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75 |
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76 retval = ColumnVector (tmp(0).vector_value ()); |
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77 |
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78 if (error_state) |
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79 { |
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80 eigs_error = 1; |
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81 gripe_user_supplied_eval ("eigs"); |
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82 } |
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83 } |
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84 else |
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85 { |
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86 eigs_error = 1; |
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87 gripe_user_supplied_eval ("eigs"); |
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88 } |
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89 } |
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90 |
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91 return retval; |
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92 } |
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93 |
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94 ComplexColumnVector |
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95 eigs_complex_func (const ComplexColumnVector &x, int &eigs_error) |
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96 { |
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97 ComplexColumnVector retval; |
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98 octave_value_list args; |
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99 args(0) = x; |
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100 |
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101 if (eigs_fcn) |
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102 { |
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103 octave_value_list tmp = eigs_fcn->do_multi_index_op (1, args); |
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104 |
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105 if (error_state) |
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106 { |
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107 eigs_error = 1; |
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108 gripe_user_supplied_eval ("eigs"); |
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109 return retval; |
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110 } |
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111 |
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112 if (tmp.length () && tmp(0).is_defined ()) |
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113 { |
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114 retval = ComplexColumnVector (tmp(0).complex_vector_value ()); |
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115 |
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116 if (error_state) |
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117 { |
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118 eigs_error = 1; |
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119 gripe_user_supplied_eval ("eigs"); |
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120 } |
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121 } |
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122 else |
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123 { |
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124 eigs_error = 1; |
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125 gripe_user_supplied_eval ("eigs"); |
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126 } |
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127 } |
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128 |
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129 return retval; |
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130 } |
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131 |
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132 DEFUN_DLD (eigs, args, nargout, |
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133 "-*- texinfo -*-\n\ |
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134 @deftypefn {Loadable Function} {@var{d} =} eigs (@var{A})\n\ |
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135 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{k})\n\ |
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136 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{k}, @var{sigma})\n\ |
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137 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{k}, @var{sigma}, @var{opts})\n\ |
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138 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B})\n\ |
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139 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B}, @var{k})\n\ |
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140 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B}, @var{k}, @var{sigma})\n\ |
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141 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{A}, @var{B}, @var{k}, @var{sigma}, @var{opts})\n\ |
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142 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n})\n\ |
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143 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B})\n\ |
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144 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{k})\n\ |
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145 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B}, @var{k})\n\ |
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146 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{k}, @var{sigma})\n\ |
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147 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B}, @var{k}, @var{sigma})\n\ |
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148 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{k}, @var{sigma}, @var{opts})\n\ |
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149 @deftypefnx {Loadable Function} {@var{d} =} eigs (@var{af}, @var{n}, @var{B}, @var{k}, @var{sigma}, @var{opts})\n\ |
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150 @deftypefnx {Loadable Function} {[@var{V}, @var{d}] =} eigs (@var{A}, @dots{})\n\ |
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151 @deftypefnx {Loadable Function} {[@var{V}, @var{d}] =} eigs (@var{af}, @var{n}, @dots{})\n\ |
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152 @deftypefnx {Loadable Function} {[@var{V}, @var{d}, @var{flag}] =} eigs (@var{A}, @dots{})\n\ |
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153 @deftypefnx {Loadable Function} {[@var{V}, @var{d}, @var{flag}] =} eigs (@var{af}, @var{n}, @dots{})\n\ |
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154 Calculate a limited number of eigenvalues and eigenvectors of @var{A},\n\ |
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155 based on a selection criteria. The number of eigenvalues and eigenvectors to\n\ |
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156 calculate is given by @var{k} and defaults to 6.\n\ |
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157 \n\ |
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158 By default, @code{eigs} solve the equation\n\ |
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159 @tex\n\ |
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160 $A \\nu = \\lambda \\nu$,\n\ |
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161 @end tex\n\ |
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162 @ifinfo\n\ |
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163 @code{A * v = lambda * v},\n\ |
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164 @end ifinfo\n\ |
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165 where\n\ |
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166 @tex\n\ |
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167 $\\lambda$ is a scalar representing one of the eigenvalues, and $\\nu$\n\ |
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168 @end tex\n\ |
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169 @ifinfo\n\ |
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170 @code{lambda} is a scalar representing one of the eigenvalues, and @code{v}\n\ |
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171 @end ifinfo\n\ |
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172 is the corresponding eigenvector. If given the positive definite matrix\n\ |
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173 @var{B} then @code{eigs} solves the general eigenvalue equation\n\ |
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174 @tex\n\ |
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175 $A \\nu = \\lambda B \\nu$.\n\ |
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176 @end tex\n\ |
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177 @ifinfo\n\ |
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178 @code{A * v = lambda * B * v}.\n\ |
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179 @end ifinfo\n\ |
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180 \n\ |
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181 The argument @var{sigma} determines which eigenvalues are returned.\n\ |
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182 @var{sigma} can be either a scalar or a string. When @var{sigma} is a\n\ |
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183 scalar, the @var{k} eigenvalues closest to @var{sigma} are returned. If\n\ |
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184 @var{sigma} is a string, it must have one of the following values.\n\ |
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185 \n\ |
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186 @table @asis\n\ |
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187 @item 'lm'\n\ |
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188 Largest Magnitude (default).\n\ |
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189 \n\ |
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190 @item 'sm'\n\ |
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191 Smallest Magnitude.\n\ |
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192 \n\ |
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193 @item 'la'\n\ |
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194 Largest Algebraic (valid only for real symmetric problems).\n\ |
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195 \n\ |
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196 @item 'sa'\n\ |
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197 Smallest Algebraic (valid only for real symmetric problems).\n\ |
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198 \n\ |
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199 @item 'be'\n\ |
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200 Both Ends, with one more from the high-end if @var{k} is odd (valid only for\n\ |
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201 real symmetric problems).\n\ |
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202 \n\ |
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203 @item 'lr'\n\ |
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204 Largest Real part (valid only for complex or unsymmetric problems).\n\ |
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205 \n\ |
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206 @item 'sr'\n\ |
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207 Smallest Real part (valid only for complex or unsymmetric problems).\n\ |
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208 \n\ |
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209 @item 'li'\n\ |
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210 Largest Imaginary part (valid only for complex or unsymmetric problems).\n\ |
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211 \n\ |
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212 @item 'si'\n\ |
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213 Smallest Imaginary part (valid only for complex or unsymmetric problems).\n\ |
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214 @end table\n\ |
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215 \n\ |
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216 If @var{opts} is given, it is a structure defining possible options that\n\ |
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217 @code{eigs} should use. The fields of the @var{opts} structure are:\n\ |
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218 \n\ |
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219 @table @code\n\ |
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220 @item issym\n\ |
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221 If @var{af} is given, then flags whether the function @var{af} defines a\n\ |
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222 symmetric problem. It is ignored if @var{A} is given. The default is false.\n\ |
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223 \n\ |
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224 @item isreal\n\ |
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225 If @var{af} is given, then flags whether the function @var{af} defines a\n\ |
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226 real problem. It is ignored if @var{A} is given. The default is true.\n\ |
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227 \n\ |
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228 @item tol\n\ |
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229 Defines the required convergence tolerance, calculated as\n\ |
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230 @code{tol * norm (A)}. The default is @code{eps}.\n\ |
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231 \n\ |
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232 @item maxit\n\ |
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233 The maximum number of iterations. The default is 300.\n\ |
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234 \n\ |
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235 @item p\n\ |
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236 The number of Lanzcos basis vectors to use. More vectors will result in\n\ |
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237 faster convergence, but a greater use of memory. The optimal value of\n\ |
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238 @code{p} is problem dependent and should be in the range @var{k} to @var{n}.\n\ |
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239 The default value is @code{2 * @var{k}}.\n\ |
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240 \n\ |
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241 @item v0\n\ |
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242 The starting vector for the algorithm. An initial vector close to the\n\ |
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243 final vector will speed up convergence. The default is for @sc{arpack}\n\ |
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244 to randomly generate a starting vector. If specified, @code{v0} must be\n\ |
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245 an @var{n}-by-1 vector where @code{@var{n} = rows (@var{A})}\n\ |
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246 \n\ |
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247 @item disp\n\ |
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248 The level of diagnostic printout (0|1|2). If @code{disp} is 0 then\n\ |
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249 diagnostics are disabled. The default value is 0.\n\ |
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250 \n\ |
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251 @item cholB\n\ |
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252 Flag if @code{chol (@var{B})} is passed rather than @var{B}. The default is\n\ |
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253 false.\n\ |
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254 \n\ |
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255 @item permB\n\ |
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256 The permutation vector of the Cholesky@tie{}factorization of @var{B} if\n\ |
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257 @code{cholB} is true. That is @code{chol (@var{B}(permB, permB))}. The\n\ |
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258 default is @code{1:@var{n}}.\n\ |
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259 \n\ |
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260 @end table\n\ |
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261 It is also possible to represent @var{A} by a function denoted @var{af}.\n\ |
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262 @var{af} must be followed by a scalar argument @var{n} defining the length\n\ |
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263 of the vector argument accepted by @var{af}. @var{af} can be \n\ |
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264 a function handle, an inline function, or a string. When @var{af} is a\n\ |
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265 string it holds the name of the function to use.\n\ |
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266 \n\ |
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267 @var{af} is a function of the form @code{y = af (x)}\n\ |
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268 where the required return value of @var{af} is determined by\n\ |
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269 the value of @var{sigma}. The four possible forms are\n\ |
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270 \n\ |
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271 @table @code\n\ |
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272 @item A * x\n\ |
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273 if @var{sigma} is not given or is a string other than 'sm'.\n\ |
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274 \n\ |
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275 @item A \\ x\n\ |
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276 if @var{sigma} is 0 or 'sm'.\n\ |
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277 \n\ |
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278 @item (A - sigma * I) \\ x\n\ |
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279 for the standard eigenvalue problem, where @code{I} is the identity matrix of\n\ |
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280 the same size as @var{A}.\n\ |
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281 \n\ |
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282 @item (A - sigma * B) \\ x\n\ |
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283 for the general eigenvalue problem.\n\ |
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284 @end table\n\ |
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285 \n\ |
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286 The return arguments of @code{eigs} depend on the number of return arguments\n\ |
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287 requested. With a single return argument, a vector @var{d} of length @var{k}\n\ |
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288 is returned containing the @var{k} eigenvalues that have been found. With\n\ |
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289 two return arguments, @var{V} is a @var{n}-by-@var{k} matrix whose columns\n\ |
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290 are the @var{k} eigenvectors corresponding to the returned eigenvalues. The\n\ |
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291 eigenvalues themselves are returned in @var{d} in the form of a\n\ |
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292 @var{n}-by-@var{k} matrix, where the elements on the diagonal are the\n\ |
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293 eigenvalues.\n\ |
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294 \n\ |
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295 Given a third return argument @var{flag}, @code{eigs} returns the status\n\ |
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296 of the convergence. If @var{flag} is 0 then all eigenvalues have converged.\n\ |
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297 Any other value indicates a failure to converge.\n\ |
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298 \n\ |
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299 This function is based on the @sc{arpack} package, written by R. Lehoucq,\n\ |
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300 K. Maschhoff, D. Sorensen, and C. Yang. For more information see\n\ |
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301 @url{http://www.caam.rice.edu/software/ARPACK/}.\n\ |
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302 \n\ |
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303 @seealso{eig, svds}\n\ |
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304 @end deftypefn") |
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305 { |
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306 octave_value_list retval; |
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307 #ifdef HAVE_ARPACK |
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308 int nargin = args.length (); |
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309 std::string fcn_name; |
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310 octave_idx_type n = 0; |
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311 octave_idx_type k = 6; |
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312 Complex sigma = 0.; |
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313 double sigmar, sigmai; |
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314 bool have_sigma = false; |
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315 std::string typ = "LM"; |
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316 Matrix amm, bmm, bmt; |
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317 ComplexMatrix acm, bcm, bct; |
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318 SparseMatrix asmm, bsmm, bsmt; |
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319 SparseComplexMatrix ascm, bscm, bsct; |
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320 int b_arg = 0; |
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321 bool have_b = false; |
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322 bool have_a_fun = false; |
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323 bool a_is_complex = false; |
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324 bool b_is_complex = false; |
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325 bool symmetric = false; |
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326 bool cholB = false; |
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327 bool a_is_sparse = false; |
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328 ColumnVector permB; |
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329 int arg_offset = 0; |
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330 double tol = DBL_EPSILON; |
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331 int maxit = 300; |
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332 int disp = 0; |
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333 octave_idx_type p = -1; |
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334 ColumnVector resid; |
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335 ComplexColumnVector cresid; |
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336 octave_idx_type info = 1; |
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337 char bmat = 'I'; |
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338 |
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339 warned_imaginary = false; |
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340 |
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341 unwind_protect frame; |
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342 |
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343 frame.protect_var (call_depth); |
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344 call_depth++; |
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345 |
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346 if (call_depth > 1) |
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347 { |
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348 error ("eigs: invalid recursive call"); |
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349 if (fcn_name.length()) |
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350 clear_function (fcn_name); |
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351 return retval; |
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352 } |
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353 |
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354 if (nargin == 0) |
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355 print_usage (); |
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356 else if (args(0).is_function_handle () || args(0).is_inline_function () |
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357 || args(0).is_string ()) |
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358 { |
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359 if (args(0).is_string ()) |
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360 { |
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361 std::string name = args(0).string_value (); |
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362 std::string fname = "function y = "; |
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363 fcn_name = unique_symbol_name ("__eigs_fcn_"); |
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364 fname.append (fcn_name); |
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365 fname.append ("(x) y = "); |
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366 eigs_fcn = extract_function (args(0), "eigs", fcn_name, fname, |
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367 "; endfunction"); |
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368 } |
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369 else |
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370 eigs_fcn = args(0).function_value (); |
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|
371 |
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|
372 if (!eigs_fcn) |
10154
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|
373 { |
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|
374 error ("eigs: unknown function"); |
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375 return retval; |
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|
376 } |
8417
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diff
changeset
|
377 |
654bcfb937bf
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diff
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|
378 if (nargin < 2) |
10154
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|
379 { |
40dfc0c99116
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diff
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|
380 error ("eigs: incorrect number of arguments"); |
40dfc0c99116
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|
381 return retval; |
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|
382 } |
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|
383 else |
10154
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|
384 { |
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John W. Eaton <jwe@octave.org>
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diff
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|
385 n = args(1).nint_value (); |
40dfc0c99116
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|
386 arg_offset = 1; |
40dfc0c99116
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diff
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|
387 have_a_fun = true; |
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diff
changeset
|
388 } |
8417
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Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
389 } |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
390 else |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
391 { |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
392 if (args(0).is_complex_type ()) |
10154
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|
393 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
394 if (args(0).is_sparse_type ()) |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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changeset
|
395 { |
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John W. Eaton <jwe@octave.org>
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|
396 ascm = (args(0).sparse_complex_matrix_value()); |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
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|
397 a_is_sparse = true; |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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changeset
|
398 } |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
399 else |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
400 acm = (args(0).complex_matrix_value()); |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
401 a_is_complex = true; |
40dfc0c99116
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diff
changeset
|
402 symmetric = false; // ARAPACK doesn't special case complex symmetric |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
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|
403 } |
8417
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Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
404 else |
10154
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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changeset
|
405 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
406 if (args(0).is_sparse_type ()) |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
407 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
408 asmm = (args(0).sparse_matrix_value()); |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
409 a_is_sparse = true; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
410 symmetric = asmm.is_symmetric(); |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
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|
411 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
412 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
413 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
414 amm = (args(0).matrix_value()); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
415 symmetric = amm.is_symmetric(); |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
416 } |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
417 } |
8417
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Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
418 |
9593
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
419 } |
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
420 |
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
421 // Note hold off reading B till later to avoid issues of double |
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
422 // copies of the matrix if B is full/real while A is complex.. |
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
423 if (!error_state && nargin > 1 + arg_offset && |
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
424 !(args(1 + arg_offset).is_real_scalar ())) |
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
425 { |
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
426 if (args(1+arg_offset).is_complex_type ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
427 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
428 b_arg = 1+arg_offset; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
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10066
diff
changeset
|
429 have_b = true; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
430 bmat = 'G'; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
431 b_is_complex = true; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
432 arg_offset++; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
433 } |
9593
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
434 else |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
435 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
436 b_arg = 1+arg_offset; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
437 have_b = true; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
438 bmat = 'G'; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
439 arg_offset++; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
440 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
441 } |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
442 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
443 if (!error_state && nargin > (1+arg_offset)) |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
444 k = args(1+arg_offset).nint_value (); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
445 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
446 if (!error_state && nargin > (2+arg_offset)) |
8683
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
447 { |
8845
5a6db6bd1a02
eigs.cc (Feigs): fix handling of sigma arg
John W. Eaton <jwe@octave.org>
parents:
8702
diff
changeset
|
448 if (args(2+arg_offset).is_string ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
449 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
450 typ = args(2+arg_offset).string_value (); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
451 |
10154
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
452 // Use STL function to convert to upper case |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
453 transform (typ.begin (), typ.end (), typ.begin (), toupper); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
454 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
455 sigma = 0.; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
456 } |
8683
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
457 else |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
458 { |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
459 sigma = args(2+arg_offset).complex_value (); |
8845
5a6db6bd1a02
eigs.cc (Feigs): fix handling of sigma arg
John W. Eaton <jwe@octave.org>
parents:
8702
diff
changeset
|
460 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
461 if (! error_state) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
462 have_sigma = true; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
463 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
464 { |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
465 error ("eigs: SIGMA must be a scalar or a string"); |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
466 return retval; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
467 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
468 } |
8683
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
469 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
470 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
471 sigmar = std::real (sigma); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
472 sigmai = std::imag (sigma); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
473 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
474 if (!error_state && nargin > (3+arg_offset)) |
8683
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
475 { |
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
476 if (args(3+arg_offset).is_map ()) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
477 { |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
478 octave_scalar_map map = args(3+arg_offset).scalar_map_value (); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
479 |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
480 if (! error_state) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
481 { |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
482 octave_value tmp; |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
483 |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
484 // issym is ignored if A is not a function |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
485 tmp = map.getfield ("issym"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
486 if (tmp.is_defined () && have_a_fun) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
487 symmetric = tmp.double_value () != 0.; |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
488 |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
489 // isreal is ignored if A is not a function |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
490 tmp = map.getfield ("isreal"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
491 if (tmp.is_defined () && have_a_fun) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
492 a_is_complex = ! (tmp.double_value () != 0.); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
493 |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
494 tmp = map.getfield ("tol"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
495 if (tmp.is_defined ()) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
496 tol = tmp.double_value (); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
497 |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
498 tmp = map.getfield ("maxit"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
499 if (tmp.is_defined ()) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
500 maxit = tmp.nint_value (); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
501 |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
502 tmp = map.getfield ("p"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
503 if (tmp.is_defined ()) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
504 p = tmp.nint_value (); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
505 |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
506 tmp = map.getfield ("v0"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
507 if (tmp.is_defined ()) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
508 { |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
509 if (a_is_complex || b_is_complex) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
510 cresid = ComplexColumnVector (tmp.complex_vector_value ()); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
511 else |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
512 resid = ColumnVector (tmp.vector_value ()); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
513 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
514 |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
515 tmp = map.getfield ("disp"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
516 if (tmp.is_defined ()) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
517 disp = tmp.nint_value (); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
518 |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
519 tmp = map.getfield ("cholB"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
520 if (tmp.is_defined ()) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
521 cholB = tmp.double_value () != 0.; |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
522 |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
523 tmp = map.getfield ("permB"); |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
524 if (tmp.is_defined ()) |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
525 permB = ColumnVector (tmp.vector_value ()) - 1.0; |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
526 } |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
527 else |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
528 { |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
529 error ("eigs: OPTS argument must be a scalar structure"); |
11044
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
530 return retval; |
757249bb4888
eigs.cc: use octave_scalar_map instead of Octave_map
John W. Eaton <jwe@octave.org>
parents:
10846
diff
changeset
|
531 } |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
532 } |
8683
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
533 else |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
534 { |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
535 error ("eigs: OPTS argument must be a structure"); |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
536 return retval; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
537 } |
8683
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
538 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
539 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
540 if (nargin > (4+arg_offset)) |
8683
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
541 { |
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
542 error ("eigs: incorrect number of arguments"); |
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
543 return retval; |
e4f89f4a7cf8
eigs.cc (Feigs): avoid warnings; style fixes; return after errors
John W. Eaton <jwe@octave.org>
parents:
8585
diff
changeset
|
544 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
545 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
546 if (have_b) |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
547 { |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
548 if (a_is_complex || b_is_complex) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
549 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
550 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
551 bscm = args(b_arg).sparse_complex_matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
552 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
553 bcm = args(b_arg).complex_matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
554 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
555 else |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
556 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
557 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
558 bsmm = args(b_arg).sparse_matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
559 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
560 bmm = args(b_arg).matrix_value (); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
561 } |
8417
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 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
564 // 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
|
565 // Use Mode 3 instead, with sigma = 0. |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
566 if (!error_state && !have_sigma && typ == "SM") |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
567 have_sigma = true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
568 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
569 if (!error_state) |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
570 { |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
571 octave_idx_type nconv; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
572 if (a_is_complex || b_is_complex) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
573 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
574 ComplexMatrix eig_vec; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
575 ComplexColumnVector eig_val; |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
576 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
577 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
578 if (have_a_fun) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
579 nconv = EigsComplexNonSymmetricFunc |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
580 (eigs_complex_func, n, typ, sigma, k, p, info, eig_vec, eig_val, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
581 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
582 else if (have_sigma) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
583 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
584 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
585 nconv = EigsComplexNonSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
586 (ascm, sigma, k, p, info, eig_vec, eig_val, bscm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
587 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
588 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
589 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
590 nconv = EigsComplexNonSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
591 (acm, sigma, k, p, info, eig_vec, eig_val, bcm, permB, cresid, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
592 octave_stdout, tol, (nargout > 1), cholB, disp, maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
593 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
594 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
595 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
596 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
597 nconv = EigsComplexNonSymmetricMatrix |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
598 (ascm, typ, k, p, info, eig_vec, eig_val, bscm, permB, cresid, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
599 octave_stdout, tol, (nargout > 1), cholB, disp, maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
600 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
601 nconv = EigsComplexNonSymmetricMatrix |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
602 (acm, typ, k, p, info, eig_vec, eig_val, bcm, permB, cresid, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
603 octave_stdout, tol, (nargout > 1), cholB, disp, maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
604 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
605 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
606 if (nargout < 2) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
607 retval (0) = eig_val; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
608 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
609 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
610 retval(2) = double (info); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
611 retval(1) = ComplexDiagMatrix (eig_val); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
612 retval(0) = eig_vec; |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
613 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
614 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
615 else if (sigmai != 0.) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
616 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
617 // Promote real problem to a complex one. |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
618 ComplexMatrix eig_vec; |
40dfc0c99116
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John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
619 ComplexColumnVector eig_val; |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
620 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
621 if (have_a_fun) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
622 nconv = EigsComplexNonSymmetricFunc |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
623 (eigs_complex_func, n, typ, sigma, k, p, info, eig_vec, eig_val, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
624 cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
625 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
626 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
627 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
628 nconv = EigsComplexNonSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
629 (SparseComplexMatrix (asmm), sigma, k, p, info, eig_vec, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
630 eig_val, SparseComplexMatrix (bsmm), permB, cresid, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
631 octave_stdout, tol, (nargout > 1), cholB, disp, maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
632 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
633 nconv = EigsComplexNonSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
634 (ComplexMatrix (amm), sigma, k, p, info, eig_vec, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
635 eig_val, ComplexMatrix (bmm), permB, cresid, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
636 octave_stdout, tol, (nargout > 1), cholB, disp, maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
637 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
638 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
639 if (nargout < 2) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
640 retval (0) = eig_val; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
641 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
642 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
643 retval(2) = double (info); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
644 retval(1) = ComplexDiagMatrix (eig_val); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
645 retval(0) = eig_vec; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
646 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
647 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
648 else |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
649 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
650 if (symmetric) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
651 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
652 Matrix eig_vec; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
653 ColumnVector eig_val; |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
654 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
655 if (have_a_fun) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
656 nconv = EigsRealSymmetricFunc |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
657 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
658 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
659 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
660 else if (have_sigma) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
661 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
662 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
663 nconv = EigsRealSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
664 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
665 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
666 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
667 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
668 nconv = EigsRealSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
669 (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
670 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
671 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
672 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
673 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
674 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
675 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
676 nconv = EigsRealSymmetricMatrix |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
677 (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
678 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
679 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
680 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
681 nconv = EigsRealSymmetricMatrix |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
682 (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
683 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
684 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
685 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
686 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
687 if (nargout < 2) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
688 retval (0) = eig_val; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
689 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
690 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
691 retval(2) = double (info); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
692 retval(1) = DiagMatrix (eig_val); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
693 retval(0) = eig_vec; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
694 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
695 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
696 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
697 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
698 ComplexMatrix eig_vec; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
699 ComplexColumnVector eig_val; |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
700 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
701 if (have_a_fun) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
702 nconv = EigsRealNonSymmetricFunc |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
703 (eigs_func, n, typ, sigmar, k, p, info, eig_vec, eig_val, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
704 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
705 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
706 else if (have_sigma) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
707 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
708 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
709 nconv = EigsRealNonSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
710 (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
711 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
712 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
713 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
714 nconv = EigsRealNonSymmetricMatrixShift |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
715 (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
716 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
717 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
718 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
719 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
720 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
721 if (a_is_sparse) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
722 nconv = EigsRealNonSymmetricMatrix |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
723 (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
724 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
725 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
726 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
727 nconv = EigsRealNonSymmetricMatrix |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
728 (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
729 resid, octave_stdout, tol, (nargout > 1), cholB, disp, |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
730 maxit); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
731 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
732 |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
733 if (nargout < 2) |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
734 retval (0) = eig_val; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
735 else |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
736 { |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
737 retval(2) = double (info); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
738 retval(1) = ComplexDiagMatrix (eig_val); |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
739 retval(0) = eig_vec; |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
740 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
741 } |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
742 } |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
743 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
744 if (nconv <= 0) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
745 warning ("eigs: None of the %d requested eigenvalues converged", k); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
746 else if (nconv < k) |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
747 warning ("eigs: Only %d of the %d requested eigenvalues converged", |
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
10066
diff
changeset
|
748 nconv, k); |
8417
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 if (! fcn_name.empty ()) |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
752 clear_function (fcn_name); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
753 #else |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
754 error ("eigs: not available in this version of Octave"); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
755 #endif |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
756 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
757 return retval; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
758 } |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
759 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
760 /* #### SPARSE MATRIX VERSIONS #### */ |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
761 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
762 /* |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
763 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
764 %% Real positive definite tests, n must be even |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
765 %!shared n, k, A, d0, d2 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
766 %! n = 20; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
767 %! k = 4; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
768 %! 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
|
769 %! d0 = eig (A); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
770 %! d2 = sort (d0); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
771 %! [~, idx] = sort (abs(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
772 %! d0 = d0(idx); |
10777
f2a8f68d9c2b
eigs.cc: Initialize random number generator in test blocks
Rik <octave@nomad.inbox5.com>
parents:
10667
diff
changeset
|
773 %! rand("state", 42); % initialize generator to make eigs behavior reproducible |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
774 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
775 %! d1 = eigs (A, k); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
776 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
777 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
778 %! d1 = eigs (A,k+1); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
779 %! assert (d1, d0(end:-1:(end-k)),1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
780 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
781 %! d1 = eigs (A, k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
782 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
783 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
784 %! d1 = eigs (A, k, 'sm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
785 %! assert (d1, d0(k:-1:1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
786 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
787 %! d1 = eigs (A, k, 'la'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
788 %! assert (d1, d2(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
789 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
790 %! d1 = eigs (A, k, 'sa'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
791 %! assert (d1, d2(1:k), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
792 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
793 %! d1 = eigs (A, k, 'be'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
794 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
795 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
796 %! d1 = eigs (A, k+1, 'be'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
797 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
798 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
799 %! d1 = eigs (A, k, 4.1); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
800 %! [~,idx0] = sort (abs(d0 - 4.1)); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
801 %! [~,idx1] = sort (abs(d1 - 4.1)); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
802 %! assert (d1(idx1), d0(idx0(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
803 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
804 %! d1 = eigs(A, speye(n), k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
805 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
806 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
807 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
811 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
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, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
817 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
818 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
819 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
820 %! d1 = eigs(A, speye(n), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
821 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
822 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
823 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
824 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
825 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
826 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
827 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
828 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
829 %! assert (eigs(A,k,4.1), eigs(A,speye(n),k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
830 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
831 %! fn = @(x) A * 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, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
834 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
835 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
836 %! fn = @(x) A \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
837 %! opts.issym = 1; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
838 %! d1 = eigs (fn, n, k, 'sm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
839 %! assert (d1, d0(k:-1:1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
840 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
841 %! fn = @(x) (A - 4.1 * eye(n)) \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
842 %! opts.issym = 1; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
843 %! d1 = eigs (fn, n, k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
844 %! assert (d1, eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
845 %!testif HAVE_ARPACK |
9593
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
846 %! AA = speye (10); |
9597
a32f70d8d146
Minor typo in new eigs.cc test
David Bateman <dbateman@free.fr>
parents:
9593
diff
changeset
|
847 %! fn = @(x) AA * x; |
9593
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
848 %! opts.issym = 1; opts.isreal = 1; |
10777
f2a8f68d9c2b
eigs.cc: Initialize random number generator in test blocks
Rik <octave@nomad.inbox5.com>
parents:
10667
diff
changeset
|
849 %! assert (eigs (fn, 10, AA, 3, 'lm', opts), [1; 1; 1],10*eps); |
9593
cf8403208c43
Fix nesting error in options parsing of eigs
David Bateman <dbateman@free.fr>
parents:
9377
diff
changeset
|
850 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
851 %! [v1,d1] = eigs(A, k, 'lm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
852 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
853 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
854 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
855 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
856 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
857 %! [v1,d1] = eigs(A, k, 'sm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
858 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
859 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
860 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
861 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
862 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
863 %! [v1,d1] = eigs(A, k, 'la'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
864 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
865 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
866 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
867 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
868 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
869 %! [v1,d1] = eigs(A, k, 'sa'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
870 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
871 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
872 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
873 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
874 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
875 %! [v1,d1] = eigs(A, k, 'be'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
876 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
877 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
878 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
879 %! endfor |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
880 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
881 */ |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
882 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
883 /* |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
884 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
885 %% Real unsymmetric tests |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
886 %!shared n, k, A, d0 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
887 %! n = 20; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
888 %! k = 4; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
889 %! 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
|
890 %! d0 = eig (A); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
891 %! [~, idx] = sort (abs(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
892 %! d0 = d0(idx); |
10777
f2a8f68d9c2b
eigs.cc: Initialize random number generator in test blocks
Rik <octave@nomad.inbox5.com>
parents:
10667
diff
changeset
|
893 %! rand("state", 42); % initialize generator to make eigs behavior reproducible |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
894 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
895 %! d1 = eigs (A, k); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
896 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
897 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
898 %! d1 = eigs (A,k+1); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
899 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
902 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
903 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
904 %! d1 = eigs (A, k, 'sm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
905 %! assert (abs(d1), abs(d0(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
906 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
907 %! d1 = eigs (A, k, 'lr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
908 %! [~, idx] = sort (real(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
909 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
910 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
911 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
912 %! d1 = eigs (A, k, 'sr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
913 %! [~, idx] = sort (real(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
914 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
915 %! assert (real(d1), real(d2(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
916 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
917 %! d1 = eigs (A, k, 'li'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
918 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
919 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
920 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
921 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
922 %! d1 = eigs (A, k, 'si'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
923 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
924 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
925 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
926 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
927 %! d1 = eigs (A, k, 4.1); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
928 %! [~,idx0] = sort (abs(d0 - 4.1)); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
929 %! [~,idx1] = sort (abs(d1 - 4.1)); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
930 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
931 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
932 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
933 %! d1 = eigs(A, speye(n), k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
934 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
935 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
936 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
937 %! d1 = eigs(A, speye(n), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
938 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
939 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
940 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
941 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
942 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
943 %! d1 = eigs(A, speye(n)(q,q), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
944 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
945 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
946 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
947 %! d1 = eigs(A, speye(n), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
948 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
949 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
950 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
951 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
952 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
953 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
954 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
955 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
956 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
957 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
958 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
959 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
960 %! fn = @(x) A * x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
961 %! opts.issym = 0; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
962 %! d1 = eigs (fn, n, k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
963 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
964 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
965 %! fn = @(x) A \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
966 %! opts.issym = 0; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
967 %! d1 = eigs (fn, n, k, 'sm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
968 %! assert (abs(d1), d0(1:k), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
969 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
970 %! fn = @(x) (A - 4.1 * eye(n)) \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
971 %! opts.issym = 0; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
972 %! d1 = eigs (fn, n, k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
973 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
974 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
975 %! [v1,d1] = eigs(A, k, 'lm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
976 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
977 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
978 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
979 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
980 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
981 %! [v1,d1] = eigs(A, k, 'sm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
982 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
983 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
984 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
985 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
986 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
987 %! [v1,d1] = eigs(A, k, 'lr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
988 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
989 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
990 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
991 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
992 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
993 %! [v1,d1] = eigs(A, k, 'sr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
994 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
995 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
996 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
997 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
998 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
999 %! [v1,d1] = eigs(A, k, 'li'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1000 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1001 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1002 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1003 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1004 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1005 %! [v1,d1] = eigs(A, k, 'si'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1006 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1007 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1008 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1009 %! endfor |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1010 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1011 */ |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1012 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1013 /* |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1014 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1015 %% Complex hermitian tests |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1016 %!shared n, k, A, d0 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1017 %! n = 20; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1018 %! k = 4; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1019 %! A = sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[1i*ones(1,n-2),4*ones(1,n),-1i*ones(1,n-2)]); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1020 %! d0 = eig (A); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1021 %! [~, idx] = sort (abs(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1022 %! d0 = d0(idx); |
10777
f2a8f68d9c2b
eigs.cc: Initialize random number generator in test blocks
Rik <octave@nomad.inbox5.com>
parents:
10667
diff
changeset
|
1023 %! rand("state", 42); % initialize generator to make eigs behavior reproducible |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1026 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1027 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1028 %! d1 = eigs (A,k+1); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1029 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1030 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1031 %! d1 = eigs (A, k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1032 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1033 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1034 %! d1 = eigs (A, k, 'sm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1035 %! assert (abs(d1), abs(d0(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1036 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1037 %! d1 = eigs (A, k, 'lr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1038 %! [~, idx] = sort (real(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1039 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1040 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1041 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1042 %! d1 = eigs (A, k, 'sr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1043 %! [~, idx] = sort (real(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1044 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1045 %! assert (real(d1), real(d2(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1046 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1047 %! d1 = eigs (A, k, 'li'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1048 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1049 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1050 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1051 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1052 %! d1 = eigs (A, k, 'si'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1053 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1054 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1055 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1056 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1057 %! d1 = eigs (A, k, 4.1); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1058 %! [~,idx0] = sort (abs(d0 - 4.1)); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1059 %! [~,idx1] = sort (abs(d1 - 4.1)); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1060 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1061 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1062 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1063 %! d1 = eigs(A, speye(n), k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1064 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1065 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1066 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1067 %! d1 = eigs(A, speye(n), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1068 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1069 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1070 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1071 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1072 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1073 %! d1 = eigs(A, speye(n)(q,q), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1074 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1075 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1076 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1077 %! d1 = eigs(A, speye(n), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1078 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1079 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1080 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1081 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1082 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1083 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1084 %! d1 = eigs(A, speye(n)(q,q), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1085 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1086 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1087 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1088 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,speye(n),k,4.1)), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1089 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1090 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,speye(n),k,4.1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1091 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1092 %! fn = @(x) A * x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1093 %! opts.issym = 0; opts.isreal = 0; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1094 %! d1 = eigs (fn, n, k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1095 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1096 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1097 %! fn = @(x) A \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1098 %! opts.issym = 0; opts.isreal = 0; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1099 %! d1 = eigs (fn, n, k, 'sm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1100 %! assert (abs(d1), d0(1:k), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1101 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1102 %! fn = @(x) (A - 4.1 * eye(n)) \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1103 %! opts.issym = 0; opts.isreal = 0; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1104 %! d1 = eigs (fn, n, k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1105 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1106 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1107 %! [v1,d1] = eigs(A, k, 'lm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1108 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1109 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1110 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1111 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1112 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1113 %! [v1,d1] = eigs(A, k, 'sm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1114 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1115 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1116 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1117 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1118 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1119 %! [v1,d1] = eigs(A, k, 'lr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1120 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1121 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1122 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1123 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1124 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1125 %! [v1,d1] = eigs(A, k, 'sr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1126 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1127 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1128 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1129 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1130 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1131 %! [v1,d1] = eigs(A, k, 'li'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1132 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1133 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1134 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1135 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1136 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1137 %! [v1,d1] = eigs(A, k, 'si'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1138 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1139 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1140 %! assert(max(abs((A - d1(i)*speye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1141 %! endfor |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1142 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1143 */ |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1144 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1145 /* #### FULL MATRIX VERSIONS #### */ |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1146 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1147 /* |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1148 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1149 %% Real positive definite tests, n must be even |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1150 %!shared n, k, A, d0, d2 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1151 %! n = 20; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1152 %! k = 4; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1153 %! 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
|
1154 %! d0 = eig (A); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1155 %! d2 = sort (d0); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1156 %! [~, idx] = sort (abs(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1157 %! d0 = d0(idx); |
10777
f2a8f68d9c2b
eigs.cc: Initialize random number generator in test blocks
Rik <octave@nomad.inbox5.com>
parents:
10667
diff
changeset
|
1158 %! rand("state", 42); % initialize generator to make eigs behavior reproducible |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1161 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1164 %! assert (d1, d0(end:-1:(end-k)),1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1167 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1168 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1169 %! d1 = eigs (A, k, 'sm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1170 %! assert (d1, d0(k:-1:1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1171 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1172 %! d1 = eigs (A, k, 'la'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1173 %! assert (d1, d2(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1174 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1175 %! d1 = eigs (A, k, 'sa'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1176 %! assert (d1, d2(1:k), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1177 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1178 %! d1 = eigs (A, k, 'be'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1179 %! assert (d1, d2([1:floor(k/2), (end - ceil(k/2) + 1):end]), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1180 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1181 %! d1 = eigs (A, k+1, 'be'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1182 %! assert (d1, d2([1:floor((k+1)/2), (end - ceil((k+1)/2) + 1):end]), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1183 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1184 %! d1 = eigs (A, k, 4.1); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1185 %! [~,idx0] = sort (abs(d0 - 4.1)); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1186 %! [~,idx1] = sort (abs(d1 - 4.1)); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1187 %! assert (d1(idx1), d0(idx0(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1188 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1189 %! d1 = eigs(A, eye(n), k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1190 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1191 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1192 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1193 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1194 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1195 %! d1 = eigs(A, eye(n), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1196 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
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 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1199 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1200 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1201 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1202 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1203 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1204 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1205 %! d1 = eigs(A, eye(n), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1206 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1207 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1208 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1209 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1210 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1211 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1212 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1213 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1214 %! assert (eigs(A,k,4.1), eigs(A,eye(n),k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1215 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1216 %! fn = @(x) A * x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1217 %! opts.issym = 1; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1218 %! d1 = eigs (fn, n, k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1219 %! assert (d1, d0(end:-1:(end-k+1)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1220 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1221 %! fn = @(x) A \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1222 %! opts.issym = 1; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1223 %! d1 = eigs (fn, n, k, 'sm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1224 %! assert (d1, d0(k:-1:1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1225 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1226 %! fn = @(x) (A - 4.1 * eye(n)) \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1227 %! opts.issym = 1; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1228 %! d1 = eigs (fn, n, k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1229 %! assert (d1, eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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, 'lm'); |
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 |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1234 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
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, 'sm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1238 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1239 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1240 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1241 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1242 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1243 %! [v1,d1] = eigs(A, k, 'la'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1244 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1245 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1246 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1247 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1248 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1249 %! [v1,d1] = eigs(A, k, 'sa'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1250 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1251 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1252 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1253 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1254 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1255 %! [v1,d1] = eigs(A, k, 'be'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1256 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1257 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1258 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1259 %! endfor |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1260 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1261 */ |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1262 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1263 /* |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1264 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1265 %% Real unsymmetric tests |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1266 %!shared n, k, A, d0 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1267 %! n = 20; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1268 %! k = 4; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1269 %! 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
|
1270 %! d0 = eig (A); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1271 %! [~, idx] = sort (abs(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1272 %! d0 = d0(idx); |
10777
f2a8f68d9c2b
eigs.cc: Initialize random number generator in test blocks
Rik <octave@nomad.inbox5.com>
parents:
10667
diff
changeset
|
1273 %! rand("state", 42); % initialize generator to make eigs behavior reproducible |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1274 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1275 %! d1 = eigs (A, k); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1276 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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+1); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1279 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1280 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1281 %! d1 = eigs (A, k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1282 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1283 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1284 %! d1 = eigs (A, k, 'sm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1285 %! assert (abs(d1), abs(d0(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1286 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1287 %! d1 = eigs (A, k, 'lr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1288 %! [~, idx] = sort (real(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1289 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1290 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1291 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1292 %! d1 = eigs (A, k, 'sr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1293 %! [~, idx] = sort (real(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1294 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1295 %! assert (real(d1), real(d2(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1296 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1297 %! d1 = eigs (A, k, 'li'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1298 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1299 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1300 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1301 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1302 %! d1 = eigs (A, k, 'si'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1303 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1304 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1305 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1306 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1307 %! d1 = eigs (A, k, 4.1); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1308 %! [~,idx0] = sort (abs(d0 - 4.1)); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1309 %! [~,idx1] = sort (abs(d1 - 4.1)); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1310 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1311 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1312 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1313 %! d1 = eigs(A, eye(n), k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1314 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1315 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1316 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1317 %! d1 = eigs(A, eye(n), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1318 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1319 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1320 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1321 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1322 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1323 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1324 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1325 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1326 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1327 %! d1 = eigs(A, eye(n), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1328 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1329 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1330 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1331 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1332 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1333 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1334 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1335 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1336 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1337 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1338 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1339 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1340 %! fn = @(x) A * x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1341 %! opts.issym = 0; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1342 %! d1 = eigs (fn, n, k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1343 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1344 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1345 %! fn = @(x) A \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1346 %! opts.issym = 0; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1347 %! d1 = eigs (fn, n, k, 'sm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1348 %! assert (abs(d1), d0(1:k), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1349 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1350 %! fn = @(x) (A - 4.1 * eye(n)) \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1351 %! opts.issym = 0; opts.isreal = 1; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1352 %! d1 = eigs (fn, n, k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1353 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1354 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1355 %! [v1,d1] = eigs(A, k, 'lm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1356 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1357 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1358 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1359 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1360 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1361 %! [v1,d1] = eigs(A, k, 'sm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1362 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1363 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1364 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1365 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1366 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1367 %! [v1,d1] = eigs(A, k, 'lr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1368 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1369 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1370 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1371 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1372 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1373 %! [v1,d1] = eigs(A, k, 'sr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1374 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1375 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1376 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1377 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1378 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1379 %! [v1,d1] = eigs(A, k, 'li'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1380 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1381 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1382 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1383 %! endfor |
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 %! [v1,d1] = eigs(A, k, 'si'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1386 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1387 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1388 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1389 %! endfor |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1390 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1391 */ |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1392 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1393 /* |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1394 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1395 %% Complex hermitian tests |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1396 %!shared n, k, A, d0 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1397 %! n = 20; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1398 %! k = 4; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1399 %! A = full(sparse([3:n,1:n,1:(n-2)],[1:(n-2),1:n,3:n],[1i*ones(1,n-2),4*ones(1,n),-1i*ones(1,n-2)])); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1400 %! d0 = eig (A); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1401 %! [~, idx] = sort (abs(d0)); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1402 %! d0 = d0(idx); |
10777
f2a8f68d9c2b
eigs.cc: Initialize random number generator in test blocks
Rik <octave@nomad.inbox5.com>
parents:
10667
diff
changeset
|
1403 %! rand("state", 42); % initialize generator to make eigs behavior reproducible |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1404 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1405 %! d1 = eigs (A, k); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1406 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1407 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1408 %! d1 = eigs (A,k+1); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1409 %! assert (abs(d1), abs(d0(end:-1:(end-k))),1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1410 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1411 %! d1 = eigs (A, k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1412 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1413 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1414 %! d1 = eigs (A, k, 'sm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1415 %! assert (abs(d1), abs(d0(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
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, 'lr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1418 %! [~, idx] = sort (real(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1419 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1420 %! assert (real(d1), real(d2(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1421 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1422 %! d1 = eigs (A, k, 'sr'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1423 %! [~, idx] = sort (real(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1424 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1425 %! assert (real(d1), real(d2(1:k)), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1426 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1427 %! d1 = eigs (A, k, 'li'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1428 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1429 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1430 %! assert (sort(imag(d1)), sort(imag(d2(end:-1:(end-k+1)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1431 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1432 %! d1 = eigs (A, k, 'si'); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1433 %! [~, idx] = sort (imag(abs(d0))); |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1434 %! d2 = d0(idx); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1435 %! assert (sort(imag(d1)), sort(imag(d2(1:k))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1436 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1437 %! d1 = eigs (A, k, 4.1); |
10667
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1438 %! [~,idx0] = sort (abs(d0 - 4.1)); |
6769fbfec739
eigs.cc: Improve documentation string.
Rik <octave@nomad.inbox5.com>
parents:
10155
diff
changeset
|
1439 %! [~,idx1] = sort (abs(d1 - 4.1)); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1440 %! assert (abs(d1(idx1)), abs(d0(idx0(1:k))), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1441 %! assert (sort(imag(d1(idx1))), sort(imag(d0(idx0(1:k)))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1442 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1443 %! d1 = eigs(A, eye(n), k, 'lm'); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1444 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1445 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1446 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1447 %! d1 = eigs(A, eye(n), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1448 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1449 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1450 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1451 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1452 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1453 %! d1 = eigs(A, eye(n)(q,q), k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1454 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1455 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1456 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1457 %! d1 = eigs(A, eye(n), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1458 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1459 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1460 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1461 %! opts.cholB=true; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1462 %! q = [2:n,1]; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1463 %! opts.permB=q; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1464 %! d1 = eigs(A, eye(n)(q,q), k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1465 %! assert (abs(abs(d1)), abs(eigs(A,k,4.1)), 1e-11); |
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1466 %! assert (sort(imag(abs(d1))), sort(imag(eigs(A,k,4.1))), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1467 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1468 %! assert (abs(eigs(A,k,4.1)), abs(eigs(A,eye(n),k,4.1)), 1e-11); |
8585
e6497be3f3d6
Skip tests if ARPACK is missing.
Ben Abbott <bpabbott@mac.com>
parents:
8420
diff
changeset
|
1469 %!testif HAVE_ARPACK |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1470 %! assert (sort(imag(eigs(A,k,4.1))), sort(imag(eigs(A,eye(n),k,4.1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1471 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1472 %! fn = @(x) A * x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1473 %! opts.issym = 0; opts.isreal = 0; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1474 %! d1 = eigs (fn, n, k, 'lm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1475 %! assert (abs(d1), abs(d0(end:-1:(end-k+1))), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1476 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1477 %! fn = @(x) A \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1478 %! opts.issym = 0; opts.isreal = 0; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1479 %! d1 = eigs (fn, n, k, 'sm', opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1480 %! assert (abs(d1), d0(1:k), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1481 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1482 %! fn = @(x) (A - 4.1 * eye(n)) \ x; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1483 %! opts.issym = 0; opts.isreal = 0; |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1484 %! d1 = eigs (fn, n, k, 4.1, opts); |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1485 %! assert (abs(d1), eigs(A,k,4.1), 1e-11); |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1486 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1487 %! [v1,d1] = eigs(A, k, 'lm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1488 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1489 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1490 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1491 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1492 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1493 %! [v1,d1] = eigs(A, k, 'sm'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1494 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1495 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1496 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1497 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1498 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1499 %! [v1,d1] = eigs(A, k, 'lr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1500 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1501 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1502 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1503 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1504 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1505 %! [v1,d1] = eigs(A, k, 'sr'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1506 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1507 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1508 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1509 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1510 %!testif HAVE_ARPACK |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1511 %! [v1,d1] = eigs(A, k, 'li'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1512 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1513 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
diff
changeset
|
1514 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
changeset
|
1515 %! endfor |
8420
9038f311c1a8
eigs.cc: skip tests if ARPACK is missing
John W. Eaton <jwe@octave.org>
parents:
8417
diff
changeset
|
1516 %!testif HAVE_ARPACK |
8417
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Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
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1517 %! [v1,d1] = eigs(A, k, 'si'); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
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1518 %! d1 = diag(d1); |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
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1519 %! for i=1:k |
8702
3c4628550318
eigs.cc: increase tolerance
John W. Eaton <jwe@octave.org>
parents:
8683
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1520 %! assert(max(abs((A - d1(i)*eye(n))*v1(:,i))),0.,1e-11) |
8417
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
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1521 %! endfor |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
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changeset
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1522 |
654bcfb937bf
Add the eigs and svds functions
David Bateman <dbateman@free.fr>
parents:
diff
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1523 */ |