Mercurial > octave
annotate libinterp/corefcn/eig.cc @ 21129:228b65504557
maint: Eliminate useless statements after err_XXX.
* Cell.cc, data.cc, eig.cc, hess.cc, oct-hist.cc, oct-stream.cc, rand.cc,
audioread.cc, ov-base.cc, ov-class.cc, ov.cc, op-int.h, ops.h, CColVector.cc,
CDiagMatrix.cc, CMatrix.cc, CRowVector.cc, DiagArray2.cc, MDiagArray2.cc,
PermMatrix.cc, dMatrix.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc,
fCRowVector.cc, fMatrix.cc, idx-vector.cc, CmplxGEPBAL.cc, dbleGEPBAL.cc,
fCmplxGEPBAL.cc, floatGEPBAL.cc, Sparse-diag-op-defs.h, Sparse-op-defs.h,
Sparse-perm-op-defs.h, mx-inlines.cc, mx-op-defs.h:
maint: Eliminate useless statements after err_XXX.
author | Rik <rik@octave.org> |
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date | Thu, 21 Jan 2016 12:54:17 -0800 |
parents | 3d0d84305600 |
children | fcac5dbbf9ed |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
23 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
25 #endif | |
26 | |
27 #include "EIG.h" | |
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28 #include "fEIG.h" |
2928 | 29 |
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30 #include "defun.h" |
2928 | 31 #include "error.h" |
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32 #include "errwarn.h" |
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33 #include "ovl.h" |
2928 | 34 #include "utils.h" |
35 | |
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36 DEFUN (eig, args, nargout, |
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37 "-*- texinfo -*-\n\ |
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38 @deftypefn {} {@var{lambda} =} eig (@var{A})\n\ |
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39 @deftypefnx {} {@var{lambda} =} eig (@var{A}, @var{B})\n\ |
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40 @deftypefnx {} {[@var{V}, @var{lambda}] =} eig (@var{A})\n\ |
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41 @deftypefnx {} {[@var{V}, @var{lambda}] =} eig (@var{A}, @var{B})\n\ |
14885 | 42 Compute the eigenvalues (and optionally the eigenvectors) of a matrix\n\ |
43 or a pair of matrices\n\ | |
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44 \n\ |
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46 matrices, if they are real or complex, and if they are symmetric\n\ |
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47 (Hermitian if complex) or non-symmetric.\n\ |
5829 | 48 \n\ |
49 The eigenvalues returned by @code{eig} are not ordered.\n\ | |
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50 @seealso{eigs, svd}\n\ |
3372 | 51 @end deftypefn") |
2928 | 52 { |
53 int nargin = args.length (); | |
54 | |
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55 if (nargin > 2 || nargin == 0) |
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56 print_usage (); |
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58 octave_value_list retval; |
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59 |
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60 octave_value arg_a, arg_b; |
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61 |
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62 octave_idx_type nr_a, nr_b, nc_a, nc_b; |
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63 nr_a = nr_b = nc_a = nc_b = 0; |
2928 | 64 |
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65 arg_a = args(0); |
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66 nr_a = arg_a.rows (); |
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67 nc_a = arg_a.columns (); |
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69 int arg_is_empty = empty_arg ("eig", nr_a, nc_a); |
2928 | 70 if (arg_is_empty < 0) |
71 return retval; | |
72 else if (arg_is_empty > 0) | |
73 return octave_value_list (2, Matrix ()); | |
74 | |
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75 if (! arg_a.is_double_type () && ! arg_a.is_single_type ()) |
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76 err_wrong_type_arg ("eig", arg_a); |
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77 |
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78 if (nargin == 2) |
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79 { |
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80 arg_b = args(1); |
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81 nr_b = arg_b.rows (); |
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82 nc_b = arg_b.columns (); |
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83 |
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84 arg_is_empty = empty_arg ("eig", nr_b, nc_b); |
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85 if (arg_is_empty < 0) |
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86 return retval; |
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87 else if (arg_is_empty > 0) |
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88 return ovl (2, Matrix ()); |
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89 |
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90 if (! arg_b.is_single_type () && ! arg_b.is_double_type ()) |
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91 err_wrong_type_arg ("eig", arg_b); |
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92 } |
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93 |
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94 if (nr_a != nc_a) |
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95 err_square_matrix_required ("eig", "A"); |
2928 | 96 |
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97 if (nargin == 2 && nr_b != nc_b) |
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98 err_square_matrix_required ("eig", "B"); |
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99 |
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100 Matrix tmp_a, tmp_b; |
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101 ComplexMatrix ctmp_a, ctmp_b; |
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102 FloatMatrix ftmp_a, ftmp_b; |
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103 FloatComplexMatrix fctmp_a, fctmp_b; |
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104 |
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105 if (arg_a.is_single_type ()) |
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106 { |
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107 FloatEIG result; |
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109 if (nargin == 1) |
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110 { |
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111 if (arg_a.is_real_type ()) |
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112 { |
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113 ftmp_a = arg_a.float_matrix_value (); |
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114 |
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115 result = FloatEIG (ftmp_a, nargout > 1); |
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116 } |
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117 else |
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118 { |
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119 fctmp_a = arg_a.float_complex_matrix_value (); |
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120 |
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121 result = FloatEIG (fctmp_a, nargout > 1); |
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122 } |
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123 } |
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124 else if (nargin == 2) |
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125 { |
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126 if (arg_a.is_real_type () && arg_b.is_real_type ()) |
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127 { |
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128 ftmp_a = arg_a.float_matrix_value (); |
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129 ftmp_b = arg_b.float_matrix_value (); |
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131 result = FloatEIG (ftmp_a, ftmp_b, nargout > 1); |
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132 } |
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133 else |
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134 { |
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135 fctmp_a = arg_a.float_complex_matrix_value (); |
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136 fctmp_b = arg_b.float_complex_matrix_value (); |
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137 |
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138 result = FloatEIG (fctmp_a, fctmp_b, nargout > 1); |
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139 } |
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140 } |
2928 | 141 |
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142 if (nargout == 0 || nargout == 1) |
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143 { |
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144 retval = ovl (result.eigenvalues ()); |
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145 } |
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146 else |
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147 { |
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148 // Blame it on Matlab. |
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149 FloatComplexDiagMatrix d (result.eigenvalues ()); |
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150 |
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151 retval = ovl (result.eigenvectors (), d); |
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152 } |
2928 | 153 } |
154 else | |
155 { | |
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156 EIG result; |
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157 |
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158 if (nargin == 1) |
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159 { |
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160 if (arg_a.is_real_type ()) |
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161 { |
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162 tmp_a = arg_a.matrix_value (); |
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163 |
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164 result = EIG (tmp_a, nargout > 1); |
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165 } |
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166 else |
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167 { |
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168 ctmp_a = arg_a.complex_matrix_value (); |
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169 |
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170 result = EIG (ctmp_a, nargout > 1); |
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171 } |
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172 } |
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173 else if (nargin == 2) |
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174 { |
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175 if (arg_a.is_real_type () && arg_b.is_real_type ()) |
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176 { |
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177 tmp_a = arg_a.matrix_value (); |
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178 tmp_b = arg_b.matrix_value (); |
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179 |
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180 result = EIG (tmp_a, tmp_b, nargout > 1); |
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181 } |
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182 else |
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183 { |
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184 ctmp_a = arg_a.complex_matrix_value (); |
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185 ctmp_b = arg_b.complex_matrix_value (); |
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186 |
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187 result = EIG (ctmp_a, ctmp_b, nargout > 1); |
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188 } |
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189 } |
2928 | 190 |
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191 if (nargout == 0 || nargout == 1) |
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192 { |
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193 retval = ovl (result.eigenvalues ()); |
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194 } |
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195 else |
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196 { |
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197 // Blame it on Matlab. |
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198 ComplexDiagMatrix d (result.eigenvalues ()); |
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199 |
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200 retval = ovl (result.eigenvectors (), d); |
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201 } |
2928 | 202 } |
203 | |
204 return retval; | |
205 } | |
206 | |
207 /* | |
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208 %!assert (eig ([1, 2; 2, 1]), [-1; 3], sqrt (eps)) |
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209 |
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210 %!test |
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211 %! [v, d] = eig ([1, 2; 2, 1]); |
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212 %! x = 1 / sqrt (2); |
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213 %! assert (d, [-1, 0; 0, 3], sqrt (eps)); |
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214 %! assert (v, [-x, x; x, x], sqrt (eps)); |
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215 |
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216 %!assert (eig (single ([1, 2; 2, 1])), single ([-1; 3]), sqrt (eps ("single"))) |
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217 |
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218 %!test |
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219 %! [v, d] = eig (single ([1, 2; 2, 1])); |
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220 %! x = single (1 / sqrt (2)); |
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221 %! assert (d, single ([-1, 0; 0, 3]), sqrt (eps ("single"))); |
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222 %! assert (v, [-x, x; x, x], sqrt (eps ("single"))); |
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223 |
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224 %!test |
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225 %! A = [1, 2; -1, 1]; B = [3, 3; 1, 2]; |
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226 %! [v, d] = eig (A, B); |
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227 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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228 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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229 |
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230 %!test |
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231 %! A = single ([1, 2; -1, 1]); B = single ([3, 3; 1, 2]); |
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232 %! [v, d] = eig (A, B); |
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233 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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234 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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235 |
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236 %!test |
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237 %! A = [1, 2; 2, 1]; B = [3, -2; -2, 3]; |
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238 %! [v, d] = eig (A, B); |
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239 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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240 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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241 |
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242 %!test |
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243 %! A = single ([1, 2; 2, 1]); B = single ([3, -2; -2, 3]); |
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244 %! [v, d] = eig (A, B); |
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245 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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246 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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247 |
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248 %!test |
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249 %! A = [1+3i, 2+i; 2-i, 1+3i]; B = [5+9i, 2+i; 2-i, 5+9i]; |
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250 %! [v, d] = eig (A, B); |
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251 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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252 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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253 |
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254 %!test |
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255 %! A = single ([1+3i, 2+i; 2-i, 1+3i]); B = single ([5+9i, 2+i; 2-i, 5+9i]); |
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256 %! [v, d] = eig (A, B); |
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257 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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258 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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259 |
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260 %!test |
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261 %! A = [1+3i, 2+3i; 3-8i, 8+3i]; B = [8+i, 3+i; 4-9i, 3+i]; |
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262 %! [v, d] = eig (A, B); |
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263 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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264 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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265 |
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266 %!test |
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267 %! A = single ([1+3i, 2+3i; 3-8i, 8+3i]); B = single ([8+i, 3+i; 4-9i, 3+i]); |
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268 %! [v, d] = eig (A, B); |
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269 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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270 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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271 |
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272 %!test |
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273 %! A = [1, 2; 3, 8]; B = [8, 3; 4, 3]; |
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274 %! [v, d] = eig (A, B); |
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275 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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276 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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277 |
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278 %!test |
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279 %! A = [1, 1+i; 1-i, 1]; B = [2, 0; 0, 2]; |
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280 %! [v, d] = eig (A, B); |
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281 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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282 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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283 |
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284 %!test |
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285 %! A = single ([1, 1+i; 1-i, 1]); B = single ([2, 0; 0, 2]); |
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286 %! [v, d] = eig (A, B); |
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287 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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288 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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289 |
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290 %!error eig () |
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291 %!error eig ([1, 2; 3, 4], [4, 3; 2, 1], 1) |
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292 %!error <EIG requires same size matrices> eig ([1, 2; 3, 4], 2) |
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293 %!error <must be a square matrix> eig ([1, 2; 3, 4; 5, 6]) |
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294 %!error <wrong type argument> eig ("abcd") |
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295 %!error <wrong type argument> eig ([1 2 ; 2 3], "abcd") |
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296 %!error <wrong type argument> eig (false, [1 2 ; 2 3]) |
2928 | 297 */ |