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1 /* |
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2 |
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3 Copyright (C) 2004 David Bateman |
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4 Copyright (C) 1998-2004 Andy Adler |
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5 |
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6 Octave is free software; you can redistribute it and/or modify it |
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7 under the terms of the GNU General Public License as published by the |
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8 Free Software Foundation; either version 2, or (at your option) any |
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9 later version. |
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10 |
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11 Octave is distributed in the hope that it will be useful, but WITHOUT |
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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14 for more details. |
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15 |
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16 You should have received a copy of the GNU General Public License |
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17 along with this program; see the file COPYING. If not, write to the Free |
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18 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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19 |
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20 */ |
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21 |
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22 #if !defined (octave_CSparse_h) |
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23 #define octave_CSparse_h 1 |
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24 |
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25 #include "dMatrix.h" |
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26 #include "dNDArray.h" |
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27 #include "CNDArray.h" |
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28 #include "dColVector.h" |
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29 #include "CColVector.h" |
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30 #include "oct-cmplx.h" |
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31 |
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32 #include "CmplxDET.h" |
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33 #include "MSparse.h" |
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34 #include "MSparse-defs.h" |
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35 #include "Sparse-op-defs.h" |
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36 #include "SparseType.h" |
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37 |
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38 class SparseMatrix; |
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39 class SparseBoolMatrix; |
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40 |
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41 class |
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42 SparseComplexMatrix : public MSparse<Complex> |
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43 { |
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44 public: |
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45 |
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46 typedef void (*solve_singularity_handler) (double rcond); |
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47 |
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48 SparseComplexMatrix (void) : MSparse<Complex> () { } |
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49 |
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50 SparseComplexMatrix (octave_idx_type r, octave_idx_type c) : MSparse<Complex> (r, c) { } |
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51 |
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52 explicit SparseComplexMatrix (octave_idx_type r, octave_idx_type c, Complex val) |
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53 : MSparse<Complex> (r, c, val) { } |
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54 |
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55 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, double val) |
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56 : MSparse<Complex> (r, c, Complex (val)) { } |
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57 |
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58 SparseComplexMatrix (const SparseComplexMatrix& a) |
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59 : MSparse<Complex> (a) { } |
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60 |
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61 SparseComplexMatrix (const SparseComplexMatrix& a, const dim_vector& dv) |
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62 : MSparse<Complex> (a, dv) { } |
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63 |
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64 SparseComplexMatrix (const MSparse<Complex>& a) : MSparse<Complex> (a) { } |
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65 |
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66 explicit SparseComplexMatrix (const ComplexMatrix& a) |
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67 : MSparse<Complex> (a) { } |
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68 |
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69 explicit SparseComplexMatrix (const ComplexNDArray& a) |
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70 : MSparse<Complex> (a) { } |
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71 |
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72 explicit SparseComplexMatrix (const Array<Complex> a, const Array<octave_idx_type>& r, |
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73 const Array<octave_idx_type>& c, octave_idx_type nr = -1, |
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74 octave_idx_type nc = -1, bool sum_terms = true) |
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75 : MSparse<Complex> (a, r, c, nr, nc, sum_terms) { } |
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76 |
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77 explicit SparseComplexMatrix (const Array<Complex> a, |
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78 const Array<double>& r, |
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79 const Array<double>& c, octave_idx_type nr = -1, |
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80 octave_idx_type nc = -1, bool sum_terms = true) |
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81 : MSparse<Complex> (a, r, c, nr, nc, sum_terms) { } |
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82 |
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83 explicit SparseComplexMatrix (const SparseMatrix& a); |
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84 |
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85 explicit SparseComplexMatrix (const SparseBoolMatrix& a); |
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86 |
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87 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz) |
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88 : MSparse<Complex> (r, c, num_nz) { } |
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89 |
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90 SparseComplexMatrix& operator = (const SparseComplexMatrix& a) |
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91 { |
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92 MSparse<Complex>::operator = (a); |
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93 return *this; |
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94 } |
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95 |
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96 bool operator == (const SparseComplexMatrix& a) const; |
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97 bool operator != (const SparseComplexMatrix& a) const; |
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98 |
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99 bool is_hermitian (void) const; |
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100 |
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101 SparseComplexMatrix max (int dim = 0) const; |
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102 SparseComplexMatrix max (Array2<octave_idx_type>& index, int dim = 0) const; |
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103 SparseComplexMatrix min (int dim = 0) const; |
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104 SparseComplexMatrix min (Array2<octave_idx_type>& index, int dim = 0) const; |
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105 |
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106 SparseComplexMatrix& insert (const SparseComplexMatrix& a, octave_idx_type r, octave_idx_type c); |
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107 SparseComplexMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c); |
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108 |
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109 SparseComplexMatrix concat (const SparseComplexMatrix& rb, |
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110 const Array<octave_idx_type>& ra_idx); |
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111 SparseComplexMatrix concat (const SparseMatrix& rb, |
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112 const Array<octave_idx_type>& ra_idx); |
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113 |
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114 ComplexMatrix matrix_value (void) const; |
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115 |
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116 SparseComplexMatrix hermitian (void) const; // complex conjugate transpose |
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117 SparseComplexMatrix transpose (void) const |
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118 { return MSparse<Complex>::transpose (); } |
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119 |
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120 friend SparseComplexMatrix conj (const SparseComplexMatrix& a); |
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121 |
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122 SparseComplexMatrix inverse (void) const; |
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123 SparseComplexMatrix inverse (octave_idx_type& info) const; |
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124 SparseComplexMatrix inverse (octave_idx_type& info, double& rcond, int force = 0, |
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125 int calc_cond = 1) const; |
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126 |
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127 ComplexDET determinant (void) const; |
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128 ComplexDET determinant (octave_idx_type& info) const; |
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129 ComplexDET determinant (octave_idx_type& info, double& rcond, |
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130 int calc_cond = 1) const; |
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131 |
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132 private: |
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133 // Diagonal matrix solvers |
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134 ComplexMatrix dsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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135 double& rcond, solve_singularity_handler sing_handler) const; |
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136 |
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137 ComplexMatrix dsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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138 double& rcond, solve_singularity_handler sing_handler) const; |
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139 |
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140 SparseComplexMatrix dsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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141 double& rcond, solve_singularity_handler sing_handler) const; |
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142 |
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143 SparseComplexMatrix dsolve (SparseType &typ, const SparseComplexMatrix& b, |
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144 octave_idx_type& info, double& rcond, |
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145 solve_singularity_handler sing_handler) const; |
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146 |
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147 // Upper triangular matrix solvers |
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148 ComplexMatrix utsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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149 double& rcond, solve_singularity_handler sing_handler) const; |
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150 |
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151 ComplexMatrix utsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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152 double& rcond, solve_singularity_handler sing_handler) const; |
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153 |
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154 SparseComplexMatrix utsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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155 double& rcond, solve_singularity_handler sing_handler) const; |
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156 |
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157 SparseComplexMatrix utsolve (SparseType &typ, const SparseComplexMatrix& b, |
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158 octave_idx_type& info, double& rcond, |
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159 solve_singularity_handler sing_handler) const; |
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160 |
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161 // Lower triangular matrix solvers |
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162 ComplexMatrix ltsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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163 double& rcond, solve_singularity_handler sing_handler) const; |
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164 |
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165 ComplexMatrix ltsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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166 double& rcond, solve_singularity_handler sing_handler) const; |
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167 |
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168 SparseComplexMatrix ltsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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169 double& rcond, solve_singularity_handler sing_handler) const; |
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170 |
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171 SparseComplexMatrix ltsolve (SparseType &typ, const SparseComplexMatrix& b, |
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172 octave_idx_type& info, double& rcond, |
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173 solve_singularity_handler sing_handler) const; |
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174 |
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175 // Tridiagonal matrix solvers |
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176 ComplexMatrix trisolve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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177 double& rcond, solve_singularity_handler sing_handler) const; |
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178 |
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179 ComplexMatrix trisolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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180 double& rcond, solve_singularity_handler sing_handler) const; |
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181 |
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182 SparseComplexMatrix trisolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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183 double& rcond, solve_singularity_handler sing_handler) const; |
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184 |
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185 SparseComplexMatrix trisolve (SparseType &typ, const SparseComplexMatrix& b, |
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186 octave_idx_type& info, double& rcond, |
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187 solve_singularity_handler sing_handler) const; |
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188 |
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189 // Banded matrix solvers (umfpack/cholesky) |
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190 ComplexMatrix bsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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191 double& rcond, solve_singularity_handler sing_handler) const; |
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192 |
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193 ComplexMatrix bsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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194 double& rcond, solve_singularity_handler sing_handler) const; |
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195 |
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196 SparseComplexMatrix bsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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197 double& rcond, solve_singularity_handler sing_handler) const; |
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198 |
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199 SparseComplexMatrix bsolve (SparseType &typ, const SparseComplexMatrix& b, |
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200 octave_idx_type& info, double& rcond, |
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201 solve_singularity_handler sing_handler) const; |
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202 |
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203 // Full matrix solvers (umfpack/cholesky) |
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204 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control, Matrix &Info, |
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205 solve_singularity_handler sing_handler) const; |
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206 |
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207 ComplexMatrix fsolve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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208 double& rcond, solve_singularity_handler sing_handler) const; |
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209 |
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210 ComplexMatrix fsolve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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211 double& rcond, solve_singularity_handler sing_handler) const; |
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212 |
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213 SparseComplexMatrix fsolve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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214 double& rcond, solve_singularity_handler sing_handler) const; |
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215 |
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216 SparseComplexMatrix fsolve (SparseType &typ, const SparseComplexMatrix& b, |
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217 octave_idx_type& info, double& rcond, |
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218 solve_singularity_handler sing_handler) const; |
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219 |
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220 public: |
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221 // Generic interface to solver with no probing of type |
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222 ComplexMatrix solve (SparseType &typ, const Matrix& b) const; |
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223 ComplexMatrix solve (SparseType &typ, const Matrix& b, octave_idx_type& info) const; |
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224 ComplexMatrix solve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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225 double& rcond) const; |
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226 ComplexMatrix solve (SparseType &typ, const Matrix& b, octave_idx_type& info, |
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227 double& rcond, solve_singularity_handler sing_handler) const; |
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228 |
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229 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b) const; |
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230 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b, |
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231 octave_idx_type& info) const; |
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232 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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233 double& rcond) const; |
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234 ComplexMatrix solve (SparseType &typ, const ComplexMatrix& b, octave_idx_type& info, |
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235 double& rcond, solve_singularity_handler sing_handler) const; |
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236 |
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237 SparseComplexMatrix solve (SparseType &typ, const SparseMatrix& b) const; |
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238 SparseComplexMatrix solve (SparseType &typ, const SparseMatrix& b, |
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239 octave_idx_type& info) const; |
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240 SparseComplexMatrix solve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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241 double& rcond) const; |
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242 SparseComplexMatrix solve (SparseType &typ, const SparseMatrix& b, octave_idx_type& info, |
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243 double& rcond, solve_singularity_handler sing_handler) const; |
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244 |
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245 SparseComplexMatrix solve (SparseType &typ, |
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246 const SparseComplexMatrix& b) const; |
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247 SparseComplexMatrix solve (SparseType &typ, const SparseComplexMatrix& b, |
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248 octave_idx_type& info) const; |
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249 SparseComplexMatrix solve (SparseType &typ, const SparseComplexMatrix& b, |
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250 octave_idx_type& info, double& rcond) const; |
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251 SparseComplexMatrix solve (SparseType &typ, const SparseComplexMatrix& b, octave_idx_type& info, |
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252 double& rcond, solve_singularity_handler sing_handler) const; |
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253 |
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254 ComplexColumnVector solve (SparseType &typ, const ColumnVector& b) const; |
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255 ComplexColumnVector solve (SparseType &typ, const ColumnVector& b, |
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256 octave_idx_type& info) const; |
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257 ComplexColumnVector solve (SparseType &typ, const ColumnVector& b, |
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258 octave_idx_type& info, double& rcond) const; |
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259 ComplexColumnVector solve (SparseType &typ, const ColumnVector& b, octave_idx_type& info, |
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260 double& rcond, solve_singularity_handler sing_handler) const; |
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261 |
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262 ComplexColumnVector solve (SparseType &typ, |
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263 const ComplexColumnVector& b) const; |
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264 ComplexColumnVector solve (SparseType &typ, |
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265 const ComplexColumnVector& b, octave_idx_type& info) const; |
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266 ComplexColumnVector solve (SparseType &typ, const ComplexColumnVector& b, |
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267 octave_idx_type& info, double& rcond) const; |
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268 ComplexColumnVector solve (SparseType &typ, const ComplexColumnVector& b, |
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269 octave_idx_type& info, double& rcond, |
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270 solve_singularity_handler sing_handler) const; |
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271 |
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272 // Generic interface to solver with probing of type |
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273 ComplexMatrix solve (const Matrix& b) const; |
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274 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const; |
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275 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond) const; |
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276 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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277 solve_singularity_handler sing_handler) const; |
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278 |
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279 ComplexMatrix solve (const ComplexMatrix& b) const; |
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280 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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281 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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282 double& rcond) const; |
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283 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
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284 solve_singularity_handler sing_handler) const; |
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285 |
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286 SparseComplexMatrix solve (const SparseMatrix& b) const; |
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287 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info) const; |
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288 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info, |
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289 double& rcond) const; |
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290 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info, |
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291 double& rcond, |
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292 solve_singularity_handler sing_handler) const; |
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293 |
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294 SparseComplexMatrix solve (const SparseComplexMatrix& b) const; |
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295 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info) const; |
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296 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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297 double& rcond) const; |
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298 SparseComplexMatrix solve (const SparseComplexMatrix& b, octave_idx_type& info, |
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299 double& rcond, |
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300 solve_singularity_handler sing_handler) const; |
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301 |
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302 ComplexColumnVector solve (const ColumnVector& b) const; |
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303 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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304 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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305 double& rcond) const; |
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306 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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307 solve_singularity_handler sing_handler) const; |
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308 |
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309 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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310 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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311 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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312 double& rcond) const; |
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313 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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314 double& rcond, |
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315 solve_singularity_handler sing_handler) const; |
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316 |
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317 ComplexMatrix lssolve (const Matrix& b) const; |
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318 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const; |
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319 ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info, octave_idx_type& rank) const; |
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320 |
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321 ComplexMatrix lssolve (const ComplexMatrix& b) const; |
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322 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
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323 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
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324 octave_idx_type& rank) const; |
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325 |
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326 SparseComplexMatrix lssolve (const SparseMatrix& b) const; |
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327 SparseComplexMatrix lssolve (const SparseMatrix& b, octave_idx_type& info) const; |
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328 SparseComplexMatrix lssolve (const SparseMatrix& b, octave_idx_type& info, |
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329 octave_idx_type& rank) const; |
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330 |
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331 SparseComplexMatrix lssolve (const SparseComplexMatrix& b) const; |
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332 SparseComplexMatrix lssolve (const SparseComplexMatrix& b, |
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333 octave_idx_type& info) const; |
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334 SparseComplexMatrix lssolve (const SparseComplexMatrix& b, octave_idx_type& info, |
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335 octave_idx_type& rank) const; |
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336 |
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337 ComplexColumnVector lssolve (const ColumnVector& b) const; |
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338 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
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339 ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
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340 octave_idx_type& rank) const; |
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341 |
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342 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; |
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343 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info) const; |
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344 ComplexColumnVector lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
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345 octave_idx_type& rank) const; |
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346 |
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347 SparseComplexMatrix squeeze (void) const; |
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348 |
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349 SparseComplexMatrix index (idx_vector& i, int resize_ok) const; |
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350 |
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351 SparseComplexMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const; |
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352 |
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353 SparseComplexMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const; |
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354 |
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355 SparseComplexMatrix reshape (const dim_vector& new_dims) const; |
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356 |
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357 SparseComplexMatrix permute (const Array<octave_idx_type>& vec, bool inv = false) const; |
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358 |
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359 SparseComplexMatrix ipermute (const Array<octave_idx_type>& vec) const; |
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360 |
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361 SparseComplexMatrix map (c_c_Mapper f) const; |
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362 SparseMatrix map (d_c_Mapper f) const; |
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363 SparseBoolMatrix map (b_c_Mapper f) const; |
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364 |
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365 SparseComplexMatrix& apply (c_c_Mapper f); |
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366 |
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367 bool any_element_is_inf_or_nan (void) const; |
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368 bool all_elements_are_real (void) const; |
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369 bool all_integers (double& max_val, double& min_val) const; |
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370 bool too_large_for_float (void) const; |
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371 |
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372 SparseBoolMatrix operator ! (void) const; |
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373 |
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374 SparseBoolMatrix all (int dim = -1) const; |
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375 SparseBoolMatrix any (int dim = -1) const; |
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376 |
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377 SparseComplexMatrix cumprod (int dim = -1) const; |
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378 SparseComplexMatrix cumsum (int dim = -1) const; |
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379 SparseComplexMatrix prod (int dim = -1) const; |
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380 SparseComplexMatrix sum (int dim = -1) const; |
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381 SparseComplexMatrix sumsq (int dim = -1) const; |
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382 SparseMatrix abs (void) const; |
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383 |
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384 SparseComplexMatrix diag (octave_idx_type k = 0) const; |
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385 |
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386 // i/o |
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387 friend std::ostream& operator << (std::ostream& os, |
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388 const SparseComplexMatrix& a); |
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389 friend std::istream& operator >> (std::istream& is, |
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390 SparseComplexMatrix& a); |
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391 }; |
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392 |
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393 extern SparseComplexMatrix operator * (const SparseMatrix&, |
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394 const SparseComplexMatrix&); |
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395 extern SparseComplexMatrix operator * (const SparseComplexMatrix&, |
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396 const SparseMatrix&); |
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397 extern SparseComplexMatrix operator * (const SparseComplexMatrix&, |
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398 const SparseComplexMatrix&); |
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399 |
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400 extern SparseComplexMatrix min (const Complex& c, |
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401 const SparseComplexMatrix& m); |
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402 extern SparseComplexMatrix min (const SparseComplexMatrix& m, |
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403 const Complex& c); |
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404 extern SparseComplexMatrix min (const SparseComplexMatrix& a, |
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405 const SparseComplexMatrix& b); |
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406 |
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407 extern SparseComplexMatrix max (const Complex& c, |
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408 const SparseComplexMatrix& m); |
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409 extern SparseComplexMatrix max (const SparseComplexMatrix& m, |
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410 const Complex& c); |
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411 extern SparseComplexMatrix max (const SparseComplexMatrix& a, |
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412 const SparseComplexMatrix& b); |
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413 |
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414 SPARSE_SMS_CMP_OP_DECLS (SparseComplexMatrix, Complex) |
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415 SPARSE_SMS_BOOL_OP_DECLS (SparseComplexMatrix, Complex) |
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416 |
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417 SPARSE_SSM_CMP_OP_DECLS (Complex, SparseComplexMatrix) |
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418 SPARSE_SSM_BOOL_OP_DECLS (Complex, SparseComplexMatrix) |
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419 |
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420 SPARSE_SMSM_CMP_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix) |
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421 SPARSE_SMSM_BOOL_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix) |
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422 |
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423 SPARSE_FORWARD_DEFS (MSparse, SparseComplexMatrix, ComplexMatrix, Complex) |
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424 |
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425 #endif |
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426 |
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427 /* |
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428 ;;; Local Variables: *** |
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429 ;;; mode: C++ *** |
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430 ;;; End: *** |
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431 */ |
