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1 /* |
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2 |
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3 Copyright (C) 1996 John W. Eaton |
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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 2, or (at your option) any |
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10 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, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #if !defined (octave_ComplexMatrix_h) |
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24 #define octave_ComplexMatrix_h 1 |
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25 |
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26 #if defined (__GNUG__) |
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27 #pragma interface |
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28 #endif |
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29 |
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30 #include "MArray2.h" |
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31 #include "MDiagArray2.h" |
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32 |
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33 #include "mx-defs.h" |
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34 #include "oct-cmplx.h" |
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35 |
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36 class ComplexMatrix : public MArray2<Complex> |
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37 { |
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38 friend class Matrix; |
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39 friend class ComplexCHOL; |
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40 friend class ComplexHESS; |
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41 friend class ComplexLU; |
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42 friend class ComplexQR; |
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43 friend class ComplexQRP; |
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44 friend class ComplexSCHUR; |
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45 friend class ComplexSVD; |
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46 |
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47 public: |
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48 |
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49 ComplexMatrix (void) : MArray2<Complex> () { } |
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50 ComplexMatrix (int r, int c) : MArray2<Complex> (r, c) { } |
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51 ComplexMatrix (int r, int c, const Complex& val) |
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52 : MArray2<Complex> (r, c, val) { } |
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53 ComplexMatrix (const Matrix& a); |
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54 ComplexMatrix (const MArray2<Complex>& a) : MArray2<Complex> (a) { } |
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55 ComplexMatrix (const ComplexMatrix& a) : MArray2<Complex> (a) { } |
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56 ComplexMatrix (const RowVector& rv); |
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57 ComplexMatrix (const ColumnVector& cv); |
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58 ComplexMatrix (const DiagMatrix& a); |
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59 // ComplexMatrix (const MDiagArray2<Complex>& a) : MArray2<Complex> (a) { } |
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60 ComplexMatrix (const ComplexRowVector& rv); |
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61 ComplexMatrix (const ComplexColumnVector& cv); |
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62 ComplexMatrix (const ComplexDiagMatrix& a); |
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63 |
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64 ComplexMatrix (const charMatrix& a); |
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65 |
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66 ComplexMatrix& operator = (const ComplexMatrix& a) |
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67 { |
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68 MArray2<Complex>::operator = (a); |
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69 return *this; |
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70 } |
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71 |
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72 bool operator == (const ComplexMatrix& a) const; |
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73 bool operator != (const ComplexMatrix& a) const; |
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74 |
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75 bool is_hermitian (void) const; |
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76 |
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77 // destructive insert/delete/reorder operations |
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78 |
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79 ComplexMatrix& insert (const Matrix& a, int r, int c); |
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80 ComplexMatrix& insert (const RowVector& a, int r, int c); |
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81 ComplexMatrix& insert (const ColumnVector& a, int r, int c); |
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82 ComplexMatrix& insert (const DiagMatrix& a, int r, int c); |
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83 |
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84 ComplexMatrix& insert (const ComplexMatrix& a, int r, int c); |
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85 ComplexMatrix& insert (const ComplexRowVector& a, int r, int c); |
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86 ComplexMatrix& insert (const ComplexColumnVector& a, int r, int c); |
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87 ComplexMatrix& insert (const ComplexDiagMatrix& a, int r, int c); |
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88 |
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89 ComplexMatrix& fill (double val); |
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90 ComplexMatrix& fill (const Complex& val); |
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91 ComplexMatrix& fill (double val, int r1, int c1, int r2, int c2); |
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92 ComplexMatrix& fill (const Complex& val, int r1, int c1, int r2, int c2); |
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93 |
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94 ComplexMatrix append (const Matrix& a) const; |
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95 ComplexMatrix append (const RowVector& a) const; |
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96 ComplexMatrix append (const ColumnVector& a) const; |
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97 ComplexMatrix append (const DiagMatrix& a) const; |
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98 |
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99 ComplexMatrix append (const ComplexMatrix& a) const; |
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100 ComplexMatrix append (const ComplexRowVector& a) const; |
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101 ComplexMatrix append (const ComplexColumnVector& a) const; |
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102 ComplexMatrix append (const ComplexDiagMatrix& a) const; |
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103 |
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104 ComplexMatrix stack (const Matrix& a) const; |
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105 ComplexMatrix stack (const RowVector& a) const; |
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106 ComplexMatrix stack (const ColumnVector& a) const; |
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107 ComplexMatrix stack (const DiagMatrix& a) const; |
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108 |
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109 ComplexMatrix stack (const ComplexMatrix& a) const; |
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110 ComplexMatrix stack (const ComplexRowVector& a) const; |
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111 ComplexMatrix stack (const ComplexColumnVector& a) const; |
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112 ComplexMatrix stack (const ComplexDiagMatrix& a) const; |
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113 |
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114 ComplexMatrix hermitian (void) const; // complex conjugate transpose |
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115 ComplexMatrix transpose (void) const; |
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116 |
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117 friend ComplexMatrix conj (const ComplexMatrix& a); |
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118 |
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119 // resize is the destructive equivalent for this one |
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120 |
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121 ComplexMatrix extract (int r1, int c1, int r2, int c2) const; |
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122 |
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123 // extract row or column i. |
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124 |
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125 ComplexRowVector row (int i) const; |
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126 ComplexRowVector row (char *s) const; |
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127 |
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128 ComplexColumnVector column (int i) const; |
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129 ComplexColumnVector column (char *s) const; |
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130 |
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131 ComplexMatrix inverse (void) const; |
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132 ComplexMatrix inverse (int& info) const; |
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133 ComplexMatrix inverse (int& info, double& rcond, int force = 0) const; |
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134 |
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135 ComplexMatrix pseudo_inverse (double tol = 0.0); |
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136 |
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137 ComplexMatrix fourier (void) const; |
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138 ComplexMatrix ifourier (void) const; |
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139 |
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140 ComplexMatrix fourier2d (void) const; |
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141 ComplexMatrix ifourier2d (void) const; |
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142 |
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143 ComplexDET determinant (void) const; |
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144 ComplexDET determinant (int& info) const; |
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145 ComplexDET determinant (int& info, double& rcond) const; |
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146 |
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147 ComplexMatrix solve (const Matrix& b) const; |
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148 ComplexMatrix solve (const Matrix& b, int& info) const; |
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149 ComplexMatrix solve (const Matrix& b, int& info, double& rcond) const; |
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150 |
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151 ComplexMatrix solve (const ComplexMatrix& b) const; |
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152 ComplexMatrix solve (const ComplexMatrix& b, int& info) const; |
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153 ComplexMatrix solve (const ComplexMatrix& b, int& info, double& rcond) const; |
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154 |
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155 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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156 ComplexColumnVector solve (const ComplexColumnVector& b, int& info) const; |
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157 ComplexColumnVector solve (const ComplexColumnVector& b, int& info, |
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158 double& rcond) const; |
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159 |
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160 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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161 ComplexMatrix lssolve (const ComplexMatrix& b, int& info) const; |
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162 ComplexMatrix lssolve (const ComplexMatrix& b, int& info, |
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163 int& rank) const; |
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164 |
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165 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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166 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info) const; |
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167 ComplexColumnVector lssolve (const ComplexColumnVector& b, int& info, |
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168 int& rank) const; |
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169 |
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170 ComplexMatrix expm (void) const; |
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171 |
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172 // column vector by row vector -> matrix operations |
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173 |
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174 friend ComplexMatrix operator * (const ColumnVector& a, |
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175 const ComplexRowVector& b); |
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176 |
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177 friend ComplexMatrix operator * (const ComplexColumnVector& a, |
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178 const RowVector& b); |
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179 |
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180 friend ComplexMatrix operator * (const ComplexColumnVector& a, |
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181 const ComplexRowVector& b); |
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182 |
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183 // diagonal matrix by scalar -> matrix operations |
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184 |
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185 friend ComplexMatrix operator + (const DiagMatrix& a, const Complex& s); |
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186 friend ComplexMatrix operator - (const DiagMatrix& a, const Complex& s); |
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187 |
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188 friend ComplexMatrix operator + (const ComplexDiagMatrix& a, double s); |
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189 friend ComplexMatrix operator - (const ComplexDiagMatrix& a, double s); |
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190 |
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191 friend ComplexMatrix operator + (const ComplexDiagMatrix& a, |
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192 const Complex& s); |
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193 friend ComplexMatrix operator - (const ComplexDiagMatrix& a, |
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194 const Complex& s); |
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195 |
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196 // scalar by diagonal matrix -> matrix operations |
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197 |
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198 friend ComplexMatrix operator + (const Complex& s, const DiagMatrix& a); |
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199 friend ComplexMatrix operator - (const Complex& s, const DiagMatrix& a); |
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200 |
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201 friend ComplexMatrix operator + (double s, const ComplexDiagMatrix& a); |
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202 friend ComplexMatrix operator - (double s, const ComplexDiagMatrix& a); |
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203 |
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204 friend ComplexMatrix operator + (const Complex& s, |
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205 const ComplexDiagMatrix& a); |
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206 friend ComplexMatrix operator - (const Complex& s, |
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207 const ComplexDiagMatrix& a); |
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208 |
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209 // matrix by diagonal matrix -> matrix operations |
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210 |
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211 ComplexMatrix& operator += (const DiagMatrix& a); |
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212 ComplexMatrix& operator -= (const DiagMatrix& a); |
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213 |
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214 ComplexMatrix& operator += (const ComplexDiagMatrix& a); |
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215 ComplexMatrix& operator -= (const ComplexDiagMatrix& a); |
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216 |
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217 friend ComplexMatrix operator + (const Matrix& a, |
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218 const ComplexDiagMatrix& b); |
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219 friend ComplexMatrix operator - (const Matrix& a, |
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220 const ComplexDiagMatrix& b); |
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221 friend ComplexMatrix operator * (const Matrix& a, |
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222 const ComplexDiagMatrix& b); |
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223 |
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224 // diagonal matrix by matrix -> matrix operations |
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225 |
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226 friend ComplexMatrix operator + (const DiagMatrix& a, |
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227 const ComplexMatrix& b); |
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228 friend ComplexMatrix operator - (const DiagMatrix& a, |
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229 const ComplexMatrix& b); |
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230 friend ComplexMatrix operator * (const DiagMatrix& a, |
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231 const ComplexMatrix& b); |
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232 |
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233 friend ComplexMatrix operator + (const ComplexDiagMatrix& a, |
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234 const Matrix& b); |
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235 friend ComplexMatrix operator - (const ComplexDiagMatrix& a, |
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236 const Matrix& b); |
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237 friend ComplexMatrix operator * (const ComplexDiagMatrix& a, |
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238 const Matrix& b); |
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239 |
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240 friend ComplexMatrix operator + (const ComplexDiagMatrix& a, |
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241 const ComplexMatrix& b); |
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242 friend ComplexMatrix operator - (const ComplexDiagMatrix& a, |
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243 const ComplexMatrix& b); |
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244 friend ComplexMatrix operator * (const ComplexDiagMatrix& a, |
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245 const ComplexMatrix& b); |
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246 |
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247 // matrix by matrix -> matrix operations |
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248 |
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249 ComplexMatrix& operator += (const Matrix& a); |
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250 ComplexMatrix& operator -= (const Matrix& a); |
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251 |
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252 ComplexMatrix& operator += (const ComplexMatrix& a); |
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253 ComplexMatrix& operator -= (const ComplexMatrix& a); |
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254 |
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255 // unary operations |
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256 |
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257 Matrix operator ! (void) const; |
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258 |
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259 // matrix by scalar -> matrix operations |
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260 |
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261 friend ComplexMatrix operator + (const Matrix& a, const Complex& s); |
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262 friend ComplexMatrix operator - (const Matrix& a, const Complex& s); |
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263 friend ComplexMatrix operator * (const Matrix& a, const Complex& s); |
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264 friend ComplexMatrix operator / (const Matrix& a, const Complex& s); |
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265 |
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266 friend ComplexMatrix operator + (const ComplexMatrix& a, double s); |
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267 friend ComplexMatrix operator - (const ComplexMatrix& a, double s); |
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268 friend ComplexMatrix operator * (const ComplexMatrix& a, double s); |
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269 friend ComplexMatrix operator / (const ComplexMatrix& a, double s); |
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270 |
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271 // scalar by matrix -> matrix operations |
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272 |
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273 friend ComplexMatrix operator + (double s, const ComplexMatrix& a); |
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274 friend ComplexMatrix operator - (double s, const ComplexMatrix& a); |
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275 friend ComplexMatrix operator * (double s, const ComplexMatrix& a); |
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276 friend ComplexMatrix operator / (double s, const ComplexMatrix& a); |
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277 |
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278 friend ComplexMatrix operator + (const Complex& s, const Matrix& a); |
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279 friend ComplexMatrix operator - (const Complex& s, const Matrix& a); |
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280 friend ComplexMatrix operator * (const Complex& s, const Matrix& a); |
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281 friend ComplexMatrix operator / (const Complex& s, const Matrix& a); |
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282 |
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283 // matrix by diagonal matrix -> matrix operations |
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284 |
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285 friend ComplexMatrix operator + (const ComplexMatrix& a, |
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286 const DiagMatrix& b); |
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287 friend ComplexMatrix operator - (const ComplexMatrix& a, |
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288 const DiagMatrix& b); |
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289 friend ComplexMatrix operator * (const ComplexMatrix& a, |
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290 const DiagMatrix& b); |
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291 |
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292 friend ComplexMatrix operator + (const ComplexMatrix& a, |
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293 const ComplexDiagMatrix& b); |
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294 friend ComplexMatrix operator - (const ComplexMatrix& a, |
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295 const ComplexDiagMatrix& b); |
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296 friend ComplexMatrix operator * (const ComplexMatrix& a, |
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297 const ComplexDiagMatrix& b); |
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298 |
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299 // matrix by matrix -> matrix operations |
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300 |
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301 friend ComplexMatrix operator + (const ComplexMatrix& a, const Matrix& b); |
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302 friend ComplexMatrix operator - (const ComplexMatrix& a, const Matrix& b); |
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303 |
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304 friend ComplexMatrix operator + (const Matrix& a, const ComplexMatrix& b); |
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305 friend ComplexMatrix operator - (const Matrix& a, const ComplexMatrix& b); |
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306 |
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307 friend ComplexMatrix operator * (const ComplexMatrix& a, const Matrix& b); |
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308 |
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309 friend ComplexMatrix operator * (const Matrix& a, const ComplexMatrix& b); |
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310 |
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311 friend ComplexMatrix operator * (const ComplexMatrix& a, |
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312 const ComplexMatrix& b); |
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313 |
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314 friend ComplexMatrix product (const ComplexMatrix& a, const Matrix& b); |
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315 friend ComplexMatrix quotient (const ComplexMatrix& a, const Matrix& b); |
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316 |
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317 friend ComplexMatrix product (const Matrix& a, const ComplexMatrix& b); |
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318 friend ComplexMatrix quotient (const Matrix& a, const ComplexMatrix& b); |
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319 |
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320 // other operations |
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321 |
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322 ComplexMatrix map (c_c_Mapper f) const; |
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323 Matrix map (d_c_Mapper f) const; |
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324 |
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325 ComplexMatrix& apply (c_c_Mapper f); |
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326 |
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327 bool any_element_is_inf_or_nan (void) const; |
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328 bool all_elements_are_real (void) const; |
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329 bool all_integers (double& max_val, double& min_val) const; |
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330 bool too_large_for_float (void) const; |
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331 |
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332 Matrix all (void) const; |
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333 Matrix any (void) const; |
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334 |
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335 ComplexMatrix cumprod (void) const; |
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336 ComplexMatrix cumsum (void) const; |
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337 ComplexMatrix prod (void) const; |
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338 ComplexMatrix sum (void) const; |
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339 ComplexMatrix sumsq (void) const; |
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340 |
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341 ComplexColumnVector diag (void) const; |
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342 ComplexColumnVector diag (int k) const; |
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343 |
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344 bool row_is_real_only (int) const; |
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345 bool column_is_real_only (int) const; |
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346 |
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347 ComplexColumnVector row_min (void) const; |
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348 ComplexColumnVector row_max (void) const; |
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349 |
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350 ComplexColumnVector row_min (Array<int>& index) const; |
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351 ComplexColumnVector row_max (Array<int>& index) const; |
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352 |
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353 ComplexRowVector column_min (void) const; |
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354 ComplexRowVector column_max (void) const; |
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355 |
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356 ComplexRowVector column_min (Array<int>& index) const; |
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357 ComplexRowVector column_max (Array<int>& index) const; |
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358 |
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359 // i/o |
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360 |
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361 friend ostream& operator << (ostream& os, const ComplexMatrix& a); |
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362 friend istream& operator >> (istream& is, ComplexMatrix& a); |
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363 |
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364 private: |
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365 |
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366 ComplexMatrix (Complex *d, int r, int c) : MArray2<Complex> (d, r, c) { } |
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367 }; |
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368 |
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369 ComplexMatrix Givens (const Complex&, const Complex&); |
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370 |
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371 ComplexMatrix Sylvester (const ComplexMatrix&, const ComplexMatrix&, |
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372 const ComplexMatrix&); |
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373 |
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374 #endif |
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375 |
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376 /* |
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377 ;;; Local Variables: *** |
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378 ;;; mode: C++ *** |
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379 ;;; End: *** |
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380 */ |
