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1 @c Copyright (C) 1996, 1998, 2006, 2007 John W. Eaton |
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2 @c |
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3 @c This file is part of Octave. |
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4 @c |
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5 @c Octave is free software; you can redistribute it and/or modify it |
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6 @c under the terms of the GNU General Public License as published by the |
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7 @c Free Software Foundation; either version 3 of the License, or (at |
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8 @c your option) any later version. |
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9 @c |
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10 @c Octave is distributed in the hope that it will be useful, but WITHOUT |
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11 @c ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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12 @c FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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13 @c for more details. |
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14 @c |
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15 @c You should have received a copy of the GNU General Public License |
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16 @c along with Octave; see the file COPYING. If not, see |
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17 @c <http://www.gnu.org/licenses/>. |
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18 |
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19 The real and complex @code{ColumnVector} and @code{RowVector} classes |
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20 all have the following functions. These will eventually be part of an |
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21 @code{MArray<T>} class, derived from the @code{Array<T>} class. Then |
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22 the @code{ColumnVector} and @code{RowVector} classes will be derived |
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23 from the @code{MArray<T>} class. |
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24 |
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25 Element by element vector by scalar ops. |
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26 |
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27 @deftypefn {} {RowVector} {operator +} (const RowVector &@var{a}, const double &@var{s}) |
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28 @deftypefnx {} {RowVector} {operator -} (const RowVector &@var{a}, const double &@var{s}) |
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29 @deftypefnx {} {RowVector} {operator *} (const RowVector &@var{a}, const double &@var{s}) |
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30 @deftypefnx {} {RowVector} {operator /} (const RowVector &@var{a}, const double &@var{s}) |
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31 @end deftypefn |
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32 |
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33 Element by element scalar by vector ops. |
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34 |
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35 @deftypefn {} {RowVector} {operator +} (const double &@var{s}, const RowVector &@var{a}) |
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36 @deftypefnx {} {RowVector} {operator -} (const double &@var{s}, const RowVector &@var{a}) |
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37 @deftypefnx {} {RowVector} {operator *} (const double &@var{s}, const RowVector &@var{a}) |
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38 @deftypefnx {} {RowVector} {operator /} (const double &@var{s}, const RowVector &@var{a}) |
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39 @end deftypefn |
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40 |
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41 Element by element vector by vector ops. |
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42 |
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43 @deftypefn {} {RowVector} {operator +} (const RowVector &@var{a}, const RowVector &@var{b}) |
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44 @deftypefnx {} {RowVector} {operator -} (const RowVector &@var{a}, const RowVector &@var{b}) |
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45 @end deftypefn |
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46 |
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47 @deftypefn {} {RowVector} product (const RowVector &@var{a}, const RowVector &@var{b}) |
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48 @deftypefnx {} {RowVector} quotient (const RowVector &@var{a}, const RowVector &@var{b}) |
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49 @end deftypefn |
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50 |
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51 Unary MArray ops. |
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52 |
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53 @deftypefn {} {RowVector} {operator -} (const RowVector &@var{a}) |
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54 @end deftypefn |
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55 |
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56 @c ------------------------------------------------------------------------ |
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57 |
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58 The @code{Matrix} classes share the following functions. These will |
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59 eventually be part of an @code{MArray2<T>} class, derived from the |
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60 @code{Array2<T>} class. Then the @code{Matrix} class will be derived |
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61 from the @code{MArray<T>} class. |
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62 |
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63 Element by element matrix by scalar ops. |
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64 |
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65 @deftypefn {} {Matrix} {operator +} (const Matrix &@var{a}, const double &@var{s}) |
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66 @deftypefnx {} {Matrix} {operator -} (const Matrix &@var{a}, const double &@var{s}) |
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67 @deftypefnx {} {Matrix} {operator *} (const Matrix &@var{a}, const double &@var{s}) |
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68 @deftypefnx {} {Matrix} {operator /} (const Matrix &@var{a}, const double &@var{s}) |
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69 @end deftypefn |
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70 |
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71 Element by element scalar by matrix ops. |
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72 |
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73 @deftypefn {} {Matrix} {operator +} (const double &@var{s}, const Matrix &@var{a}) |
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74 @deftypefnx {} {Matrix} {operator -} (const double &@var{s}, const Matrix &@var{a}) |
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75 @deftypefnx {} {Matrix} {operator *} (const double &@var{s}, const Matrix &@var{a}) |
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76 @deftypefnx {} {Matrix} {operator /} (const double &@var{s}, const Matrix &@var{a}) |
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77 @end deftypefn |
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78 |
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79 Element by element matrix by matrix ops. |
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80 |
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81 @deftypefn {} {Matrix} {operator +} (const Matrix &@var{a}, const Matrix &@var{b}) |
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82 @deftypefnx {} {Matrix} {operator -} (const Matrix &@var{a}, const Matrix &@var{b}) |
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83 @end deftypefn |
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84 |
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85 @deftypefn {} {Matrix} product (const Matrix &@var{a}, const Matrix &@var{b}) |
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86 @deftypefnx {} {Matrix} quotient (const Matrix &@var{a}, const Matrix &@var{b}) |
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87 @end deftypefn |
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88 |
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89 Unary matrix ops. |
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90 |
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91 @deftypefn {} {Matrix} {operator -} (const Matrix &@var{a}) |
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92 @end deftypefn |
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93 |
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94 @c ------------------------------------------------------------------------ |
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95 |
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96 The @code{DiagMatrix} classes share the following functions. These will |
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97 eventually be part of an @code{MDiagArray<T>} class, derived from the |
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98 @code{DiagArray<T>} class. Then the @code{DiagMatrix} class will be |
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99 derived from the @code{MDiagArray<T>} class. |
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100 |
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101 Element by element MDiagArray by scalar ops. |
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102 |
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103 @deftypefn {} {DiagMatrix} {operator *} (const DiagMatrix &@var{a}, const double &@var{s}) |
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104 @deftypefnx {} {DiagMatrix} {operator /} (const DiagMatrix &@var{a}, const double &@var{s}) |
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105 @end deftypefn |
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106 |
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107 Element by element scalar by MDiagArray ops. |
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108 |
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109 @deftypefn {} {DiagMatrix} {operator *} (const double &@var{s}, const DiagMatrix &@var{a}) |
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110 @end deftypefn |
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111 |
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112 Element by element MDiagArray by MDiagArray ops. |
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113 |
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114 @deftypefn {} {DiagMatrix} {operator +} (const DiagMatrix &@var{a}, const DiagMatrix &@var{b}) |
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115 @deftypefnx {} {DiagMatrix} {operator -} (const DiagMatrix &@var{a}, const DiagMatrix &@var{b}) |
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116 @end deftypefn |
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117 |
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118 @deftypefn {} {DiagMatrix} product (const DiagMatrix &@var{a}, const DiagMatrix &@var{b}) |
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119 @end deftypefn |
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120 |
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121 Unary MDiagArray ops. |
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122 |
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123 @deftypefn {} {DiagMatrix} {operator -} (const DiagMatrix &@var{a}) |
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124 @end deftypefn |
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125 |
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126 @c ------------------------------------------------------------------------ |
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127 |
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128 @node Matrix and Vector Operations, Matrix Factorizations, Arrays, Top |
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129 @chapter Matrix and Vector Operations |
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130 @cindex matrix manipulations |
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131 @cindex vector manipulations |
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132 |
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133 @deftypefn {} {} Matrix (void) |
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134 @deftypefnx {} {} Matrix (int @var{r}, int @var{c}) |
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135 @deftypefnx {} {} Matrix (int @var{r}, int @var{c}, double @var{val}) |
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136 @deftypefnx {} {} Matrix (const Array2<double> &@var{a}) |
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137 @deftypefnx {} {} Matrix (const Matrix &@var{a}) |
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138 @deftypefnx {} {} Matrix (const DiagArray<double> &@var{a}) |
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139 @deftypefnx {} {} Matrix (const DiagMatrix &@var{a}) |
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140 @end deftypefn |
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141 |
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142 @deftypefn {} Matrix& {operator =} (const Matrix &@var{a}) |
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143 @end deftypefn |
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144 |
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145 @deftypefn {} int {operator ==} (const Matrix &@var{a}) const |
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146 @deftypefnx {} int {operator !=} (const Matrix &@var{a}) const |
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147 @end deftypefn |
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148 |
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149 @deftypefn {} Matrix& insert (const Matrix &@var{a}, int @var{r}, int @var{c}) |
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150 @deftypefnx {} Matrix& insert (const RowVector &@var{a}, int @var{r}, int @var{c}) |
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151 @deftypefnx {} Matrix& insert (const ColumnVector &@var{a}, int @var{r}, int @var{c}) |
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152 @deftypefnx {} Matrix& insert (const DiagMatrix &@var{a}, int @var{r}, int @var{c}) |
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153 @end deftypefn |
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154 |
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155 @deftypefn {} Matrix& fill (double @var{val}) |
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156 @deftypefnx {} Matrix& fill (double @var{val}, int r1, int c1, int r2, int c2) |
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157 @end deftypefn |
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158 |
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159 @deftypefn {} Matrix append (const Matrix &@var{a}) const |
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160 @deftypefnx {} Matrix append (const RowVector &@var{a}) const |
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161 @deftypefnx {} Matrix append (const ColumnVector &@var{a}) const |
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162 @deftypefnx {} Matrix append (const DiagMatrix &@var{a}) const |
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163 @end deftypefn |
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164 |
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165 @deftypefn {} Matrix stack (const Matrix &@var{a}) const |
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166 @deftypefnx {} Matrix stack (const RowVector &@var{a}) const |
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167 @deftypefnx {} Matrix stack (const ColumnVector &@var{a}) const |
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168 @deftypefnx {} Matrix stack (const DiagMatrix &@var{a}) const |
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169 @end deftypefn |
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170 |
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171 @deftypefn {} Matrix transpose (void) const |
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172 @end deftypefn |
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173 |
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174 @deftypefn {} Matrix extract (int r1, int c1, int r2, int c2) const |
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175 @end deftypefn |
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176 |
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177 @deftypefn {} RowVector row (int @var{i}) const |
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178 @deftypefnx {} RowVector row (char *s) const |
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179 @end deftypefn |
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180 |
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181 @deftypefn {} ColumnVector column (int @var{i}) const |
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182 @deftypefnx {} ColumnVector column (char *s) const |
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183 @end deftypefn |
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184 |
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185 @deftypefn {} Matrix inverse (void) const |
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186 @deftypefnx {} Matrix inverse (int &@var{info}) const |
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187 @deftypefnx {} Matrix inverse (int &@var{info}, double &@var{rcond}) const |
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188 @end deftypefn |
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189 |
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190 @deftypefn {} ComplexMatrix fourier (void) const |
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191 @deftypefnx {} ComplexMatrix ifourier (void) const |
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192 @end deftypefn |
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193 |
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194 @deftypefn {} DET determinant (void) const |
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195 @deftypefnx {} DET determinant (int &@var{info}) const |
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196 @deftypefnx {} DET determinant (int &@var{info}, double &@var{rcond}) const |
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197 @end deftypefn |
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198 |
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199 @deftypefn {} Matrix solve (const Matrix &@var{b}) const |
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200 @deftypefnx {} Matrix solve (const Matrix &@var{b}, int &@var{info}) const |
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201 @deftypefnx {} Matrix solve (const Matrix &@var{b}, int &@var{info}, double &@var{rcond}) const |
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202 @end deftypefn |
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203 |
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204 @deftypefn {} ComplexMatrix solve (const ComplexMatrix &@var{b}) const |
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205 @deftypefnx {} ComplexMatrix solve (const ComplexMatrix &@var{b}, int &@var{info}) const |
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206 @deftypefnx {} ComplexMatrix solve (const ComplexMatrix &@var{b}, int &@var{info}, double &@var{rcond}) const |
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207 @end deftypefn |
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208 |
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209 @deftypefn {} ColumnVector solve (const ColumnVector &@var{b}) const |
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210 @deftypefnx {} ColumnVector solve (const ColumnVector &@var{b}, int &@var{info}) const |
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211 @deftypefnx {} ColumnVector solve (const ColumnVector &@var{b}, int &@var{info}, double &@var{rcond}) const |
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212 @end deftypefn |
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213 |
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214 @deftypefn {} ComplexColumnVector solve (const ComplexColumnVector &@var{b}) const |
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215 @deftypefnx {} ComplexColumnVector solve (const ComplexColumnVector &@var{b}, int &@var{info}) const |
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216 @deftypefnx {} ComplexColumnVector solve (const ComplexColumnVector &@var{b}, int &@var{info}, double &@var{rcond}) const |
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217 @end deftypefn |
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218 |
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219 @deftypefn {} Matrix lssolve (const Matrix &@var{b}) const |
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220 @deftypefnx {} Matrix lssolve (const Matrix &@var{b}, int &@var{info}) const |
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221 @deftypefnx {} Matrix lssolve (const Matrix &@var{b}, int &@var{info}, int &@var{rank}) const |
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222 @end deftypefn |
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223 |
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224 @deftypefn {} ComplexMatrix lssolve (const ComplexMatrix &@var{b}) const |
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225 @deftypefnx {} ComplexMatrix lssolve (const ComplexMatrix &@var{b}, int &@var{info}) const |
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226 @deftypefnx {} ComplexMatrix lssolve (const ComplexMatrix &@var{b}, int &@var{info}, int &@var{rank}) const |
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227 @end deftypefn |
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228 |
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229 @deftypefn {} ColumnVector lssolve (const ColumnVector &@var{b}) const |
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230 @deftypefnx {} ColumnVector lssolve (const ColumnVector &@var{b}, int &@var{info}) const |
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231 @deftypefnx {} ColumnVector lssolve (const ColumnVector &@var{b}, int &@var{info}, int &@var{rank}) const |
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232 @end deftypefn |
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233 |
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234 @deftypefn {} ComplexColumnVector lssolve (const ComplexColumnVector &@var{b}) const |
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235 @deftypefnx {} ComplexColumnVector lssolve (const ComplexColumnVector &@var{b}, int &@var{info}) const |
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236 @deftypefnx {} ComplexColumnVector lssolve (const ComplexColumnVector &@var{b}, int &@var{info}, int &@var{rank}) const |
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237 @end deftypefn |
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238 |
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239 @deftypefn {} Matrix& {operator +=} (const Matrix &@var{a}) |
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240 @deftypefnx {} Matrix& {operator -=} (const Matrix &@var{a}) |
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241 @end deftypefn |
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242 |
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243 @deftypefn {} Matrix& {operator +=} (const DiagMatrix &@var{a}) |
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244 @deftypefnx {} Matrix& {operator -=} (const DiagMatrix &@var{a}) |
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245 @end deftypefn |
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246 |
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247 @deftypefn {} Matrix {operator !} (void) const |
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248 @end deftypefn |
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249 |
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250 @deftypefn {} {ComplexMatrix} {operator +} (const Matrix &@var{a}, const Complex &@var{s}) |
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251 @deftypefnx {} {ComplexMatrix} {operator -} (const Matrix &@var{a}, const Complex &@var{s}) |
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252 @deftypefnx {} {ComplexMatrix} {operator *} (const Matrix &@var{a}, const Complex &@var{s}) |
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253 @deftypefnx {} {ComplexMatrix} {operator /} (const Matrix &@var{a}, const Complex &@var{s}) |
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254 @end deftypefn |
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255 |
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256 @deftypefn {} {ComplexMatrix} {operator +} (const Complex &@var{s}, const Matrix &@var{a}) |
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257 @deftypefnx {} {ComplexMatrix} {operator -} (const Complex &@var{s}, const Matrix &@var{a}) |
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258 @deftypefnx {} {ComplexMatrix} {operator *} (const Complex &@var{s}, const Matrix &@var{a}) |
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259 @deftypefnx {} {ComplexMatrix} {operator /} (const Complex &@var{s}, const Matrix &@var{a}) |
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260 @end deftypefn |
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261 |
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262 @deftypefn {} {ColumnVector} {operator *} (const Matrix &@var{a}, const ColumnVector &@var{b}) |
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263 @deftypefnx {} {ComplexColumnVector} {operator *} (const Matrix &@var{a}, const ComplexColumnVector &@var{b}) |
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264 @end deftypefn |
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265 |
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266 @deftypefn {} {Matrix} {operator +} (const Matrix &@var{a}, const DiagMatrix &@var{b}) |
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267 @deftypefnx {} {Matrix} {operator -} (const Matrix &@var{a}, const DiagMatrix &@var{b}) |
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268 @deftypefnx {} {Matrix} {operator *} (const Matrix &@var{a}, const DiagMatrix &@var{b}) |
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269 @end deftypefn |
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270 |
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271 @deftypefn {} {ComplexMatrix} {operator +} (const Matrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
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272 @deftypefnx {} {ComplexMatrix} {operator -} (const Matrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
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273 @deftypefnx {} {ComplexMatrix} {operator *} (const Matrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
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274 @end deftypefn |
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275 |
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276 @deftypefn {} {Matrix} {operator *} (const Matrix &@var{a}, const Matrix &@var{b}) |
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277 @deftypefnx {} {ComplexMatrix} {operator *} (const Matrix &@var{a}, const ComplexMatrix &@var{b}) |
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278 @end deftypefn |
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279 |
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280 @deftypefn {} {ComplexMatrix} {operator +} (const Matrix &@var{a}, const ComplexMatrix &@var{b}) |
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281 @deftypefnx {} {ComplexMatrix} {operator -} (const Matrix &@var{a}, const ComplexMatrix &@var{b}) |
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282 @end deftypefn |
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283 |
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284 @deftypefn {} {ComplexMatrix} product (const Matrix &@var{a}, const ComplexMatrix &@var{b}) |
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285 @deftypefnx {} {ComplexMatrix} quotient (const Matrix &@var{a}, const ComplexMatrix &@var{b}) |
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286 @end deftypefn |
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287 |
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288 @deftypefn {} {Matrix} map (d_d_Mapper @var{f}, const Matrix &@var{a}) |
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289 @deftypefnx {} void map (d_d_Mapper @var{f}) |
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290 @end deftypefn |
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291 |
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292 @deftypefn {} Matrix all (void) const |
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293 @deftypefnx {} Matrix any (void) const |
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294 @end deftypefn |
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295 |
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296 @deftypefn {} Matrix cumprod (void) const |
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297 @deftypefnx {} Matrix cumsum (void) const |
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298 @deftypefnx {} Matrix prod (void) const |
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299 @deftypefnx {} Matrix sum (void) const |
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300 @deftypefnx {} Matrix sumsq (void) const |
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301 @end deftypefn |
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302 |
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303 @deftypefn {} ColumnVector diag (void) const |
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304 @deftypefnx {} ColumnVector diag (int @var{k}) const |
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305 @end deftypefn |
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306 |
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307 @deftypefn {} ColumnVector row_min (void) const |
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308 @deftypefnx {} ColumnVector row_min_loc (void) const |
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309 @end deftypefn |
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310 |
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311 @deftypefn {} ColumnVector row_max (void) const |
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312 @deftypefnx {} ColumnVector row_max_loc (void) const |
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313 @end deftypefn |
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314 |
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315 @deftypefn {} RowVector column_min (void) const |
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316 @deftypefnx {} RowVector column_min_loc (void) const |
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317 @end deftypefn |
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318 |
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319 @deftypefn {} RowVector column_max (void) const |
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320 @deftypefnx {} RowVector column_max_loc (void) const |
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321 @end deftypefn |
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322 |
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323 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const Matrix &@var{a}) |
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324 @deftypefnx {} {istream&} {operator >>} (istream &@var{is}, Matrix &@var{a}) |
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325 @end deftypefn |
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326 |
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327 @deftypefn {} {} ColumnVector (void) |
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328 @deftypefnx {} {} ColumnVector (int @var{n}) |
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329 @deftypefnx {} {} ColumnVector (int @var{n}, double @var{val}) |
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330 @deftypefnx {} {} ColumnVector (const Array<double> &@var{a}) |
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331 @deftypefnx {} {} ColumnVector (const ColumnVector &@var{a}) |
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332 @end deftypefn |
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333 |
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334 @deftypefn {} ColumnVector& {operator =} (const ColumnVector &@var{a}) |
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335 @end deftypefn |
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336 |
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337 @deftypefn {} int {operator ==} (const ColumnVector &@var{a}) const |
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338 @deftypefnx {} int {operator !=} (const ColumnVector &@var{a}) const |
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339 @end deftypefn |
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340 |
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341 @deftypefn {} ColumnVector& insert (const ColumnVector &@var{a}, int @var{r}) |
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342 @end deftypefn |
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343 |
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344 @deftypefn {} ColumnVector& fill (double @var{val}) |
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345 @deftypefnx {} ColumnVector& fill (double @var{val}, int r1, int r2) |
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346 @end deftypefn |
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347 |
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348 @deftypefn {} ColumnVector stack (const ColumnVector &@var{a}) const |
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349 @end deftypefn |
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350 |
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351 @deftypefn {} RowVector transpose (void) const |
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352 @end deftypefn |
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353 |
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354 @deftypefn {} ColumnVector extract (int r1, int r2) const |
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355 @end deftypefn |
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356 |
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357 @deftypefn {} ColumnVector& {operator +=} (const ColumnVector &@var{a}) |
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358 @deftypefnx {} ColumnVector& {operator -=} (const ColumnVector &@var{a}) |
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359 @end deftypefn |
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360 |
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361 @deftypefn {} {ComplexColumnVector} {operator +} (const ColumnVector &@var{a}, const Complex &@var{s}) |
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362 @deftypefnx {} {ComplexColumnVector} {operator -} (const ColumnVector &@var{a}, const Complex &@var{s}) |
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363 @deftypefnx {} {ComplexColumnVector} {operator *} (const ColumnVector &@var{a}, const Complex &@var{s}) |
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364 @deftypefnx {} {ComplexColumnVector} {operator /} (const ColumnVector &@var{a}, const Complex &@var{s}) |
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365 @end deftypefn |
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366 |
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367 @deftypefn {} {ComplexColumnVector} {operator +} (const Complex &@var{s}, const ColumnVector &@var{a}) |
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368 @deftypefnx {} {ComplexColumnVector} {operator -} (const Complex &@var{s}, const ColumnVector &@var{a}) |
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369 @deftypefnx {} {ComplexColumnVector} {operator *} (const Complex &@var{s}, const ColumnVector &@var{a}) |
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370 @deftypefnx {} {ComplexColumnVector} {operator /} (const Complex &@var{s}, const ColumnVector &@var{a}) |
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371 @end deftypefn |
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372 |
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373 @deftypefn {} {Matrix} {operator *} (const ColumnVector &@var{a}, const RowVector &@var{a}) |
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374 @end deftypefn |
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375 |
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376 @deftypefn {} {ComplexMatrix} {operator *} (const ColumnVector &@var{a}, const ComplexRowVector &@var{b}) |
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377 @end deftypefn |
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378 |
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379 @deftypefn {} {ComplexColumnVector} {operator +} (const ComplexColumnVector &@var{a}, const ComplexColumnVector &@var{b}) |
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380 @end deftypefn |
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381 |
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382 @deftypefn {} {ComplexColumnVector} {operator -} (const ComplexColumnVector &@var{a}, const ComplexColumnVector &@var{b}) |
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383 @end deftypefn |
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384 |
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385 @deftypefn {} {ComplexColumnVector} product (const ComplexColumnVector &@var{a}, const ComplexColumnVector &@var{b}) |
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386 @end deftypefn |
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387 |
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388 @deftypefn {} {ComplexColumnVector} quotient (const ComplexColumnVector &@var{a}, const ComplexColumnVector &@var{b}) |
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389 @end deftypefn |
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390 |
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391 @deftypefn {} {ColumnVector} map (d_d_Mapper @var{f}, const ColumnVector &@var{a}) |
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392 @deftypefnx {} void map (d_d_Mapper @var{f}) |
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393 @end deftypefn |
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394 |
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395 @deftypefn {} double min (void) const |
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396 @deftypefnx {} double max (void) const |
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397 @end deftypefn |
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398 |
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399 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const ColumnVector &@var{a}) |
|
400 @end deftypefn |
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401 |
5647
|
402 @deftypefn {} {} RowVector (void) |
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403 @deftypefnx {} {} RowVector (int @var{n}) |
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404 @deftypefnx {} {} RowVector (int @var{n}, double @var{val}) |
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405 @deftypefnx {} {} RowVector (const Array<double> &@var{a}) |
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406 @deftypefnx {} {} RowVector (const RowVector &@var{a}) |
2333
|
407 @end deftypefn |
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408 |
|
409 @deftypefn {} RowVector& {operator =} (const RowVector &@var{a}) |
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410 @end deftypefn |
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411 |
|
412 @deftypefn {} int {operator ==} (const RowVector &@var{a}) const |
|
413 @deftypefnx {} int {operator !=} (const RowVector &@var{a}) const |
|
414 @end deftypefn |
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415 |
|
416 @deftypefn {} RowVector& insert (const RowVector &@var{a}, int @var{c}) |
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417 @end deftypefn |
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418 |
|
419 @deftypefn {} RowVector& fill (double @var{val}) |
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420 @deftypefnx {} RowVector& fill (double @var{val}, int c1, int c2) |
|
421 @end deftypefn |
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422 |
|
423 @deftypefn {} RowVector append (const RowVector &@var{a}) const |
|
424 @end deftypefn |
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425 |
|
426 @deftypefn {} ColumnVector transpose (void) const |
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427 @end deftypefn |
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428 |
|
429 @deftypefn {} RowVector extract (int c1, int c2) const |
|
430 @end deftypefn |
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431 |
|
432 @deftypefn {} RowVector& {operator +=} (const RowVector &@var{a}) |
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433 @deftypefnx {} RowVector& {operator -=} (const RowVector &@var{a}) |
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434 @end deftypefn |
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435 |
|
436 @deftypefn {} {ComplexRowVector} {operator +} (const RowVector &@var{a}, const Complex &@var{s}) |
|
437 @deftypefnx {} {ComplexRowVector} {operator -} (const RowVector &@var{a}, const Complex &@var{s}) |
|
438 @deftypefnx {} {ComplexRowVector} {operator *} (const RowVector &@var{a}, const Complex &@var{s}) |
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439 @deftypefnx {} {ComplexRowVector} {operator /} (const RowVector &@var{a}, const Complex &@var{s}) |
|
440 @end deftypefn |
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441 |
|
442 @deftypefn {} {ComplexRowVector} {operator +} (const Complex &@var{s}, const RowVector &@var{a}) |
|
443 @deftypefnx {} {ComplexRowVector} {operator -} (const Complex &@var{s}, const RowVector &@var{a}) |
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444 @deftypefnx {} {ComplexRowVector} {operator *} (const Complex &@var{s}, const RowVector &@var{a}) |
|
445 @deftypefnx {} {ComplexRowVector} {operator /} (const Complex &@var{s}, const RowVector &@var{a}) |
|
446 @end deftypefn |
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447 |
|
448 @deftypefn {} {double} {operator *} (const RowVector &@var{a}, ColumnVector &@var{b}) |
|
449 @end deftypefn |
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450 |
|
451 @deftypefn {} {Complex} {operator *} (const RowVector &@var{a}, const ComplexColumnVector &@var{b}) |
|
452 @end deftypefn |
|
453 |
|
454 @deftypefn {} {RowVector} {operator *} (const RowVector &@var{a}, const Matrix &@var{b}) |
|
455 @end deftypefn |
|
456 |
|
457 @deftypefn {} {ComplexRowVector} {operator *} (const RowVector &@var{a}, const ComplexMatrix &@var{b}) |
|
458 @end deftypefn |
|
459 |
|
460 @deftypefn {} {ComplexRowVector} {operator +} (const RowVector &@var{a}, const ComplexRowVector &@var{b}) |
|
461 @deftypefnx {} {ComplexRowVector} {operator -} (const RowVector &@var{a}, const ComplexRowVector &@var{b}) |
|
462 @end deftypefn |
|
463 |
|
464 @deftypefn {} {ComplexRowVector} product (const RowVector &@var{a}, const ComplexRowVector &@var{b}) |
|
465 @deftypefnx {} {ComplexRowVector} quotient (const RowVector &@var{a}, const ComplexRowVector &@var{b}) |
|
466 @end deftypefn |
|
467 |
|
468 @deftypefn {} {RowVector} map (d_d_Mapper @var{f}, const RowVector &@var{a}) |
|
469 @deftypefnx {} void map (d_d_Mapper @var{f}) |
|
470 @end deftypefn |
|
471 |
|
472 @deftypefn {} double min (void) const |
|
473 @deftypefnx {} double max (void) const |
|
474 @end deftypefn |
|
475 |
|
476 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const RowVector &@var{a}) |
|
477 @end deftypefn |
|
478 |
5647
|
479 @deftypefn {} {} DiagMatrix (void) |
|
480 @deftypefnx {} {} DiagMatrix (int @var{n}) |
|
481 @deftypefnx {} {} DiagMatrix (int @var{n}, double @var{val}) |
|
482 @deftypefnx {} {} DiagMatrix (int @var{r}, int @var{c}) |
|
483 @deftypefnx {} {} DiagMatrix (int @var{r}, int @var{c}, double @var{val}) |
|
484 @deftypefnx {} {} DiagMatrix (const RowVector &@var{a}) |
|
485 @deftypefnx {} {} DiagMatrix (const ColumnVector &@var{a}) |
|
486 @deftypefnx {} {} DiagMatrix (const DiagArray<double> &@var{a}) |
|
487 @deftypefnx {} {} DiagMatrix (const DiagMatrix &@var{a}) |
2333
|
488 @end deftypefn |
|
489 |
|
490 @deftypefn {} DiagMatrix& {operator =} (const DiagMatrix &@var{a}) |
|
491 @end deftypefn |
|
492 |
|
493 @deftypefn {} int {operator ==} (const DiagMatrix &@var{a}) const |
|
494 @deftypefnx {} int {operator !=} (const DiagMatrix &@var{a}) const |
|
495 @end deftypefn |
|
496 |
|
497 @deftypefn {} DiagMatrix& fill (double @var{val}) |
|
498 @deftypefnx {} DiagMatrix& fill (double @var{val}, int @var{beg}, int @var{end}) |
|
499 @deftypefnx {} DiagMatrix& fill (const ColumnVector &@var{a}) |
|
500 @deftypefnx {} DiagMatrix& fill (const RowVector &@var{a}) |
|
501 @deftypefnx {} DiagMatrix& fill (const ColumnVector &@var{a}, int @var{beg}) |
|
502 @deftypefnx {} DiagMatrix& fill (const RowVector &@var{a}, int @var{beg}) |
|
503 @end deftypefn |
|
504 |
|
505 @deftypefn {} DiagMatrix transpose (void) const |
|
506 @end deftypefn |
|
507 |
|
508 @deftypefn {} Matrix extract (int r1, int c1, int r2, int c2) const |
|
509 @end deftypefn |
|
510 |
|
511 @deftypefn {} RowVector row (int @var{i}) const |
|
512 @deftypefnx {} RowVector row (char *s) const |
|
513 @end deftypefn |
|
514 |
|
515 @deftypefn {} ColumnVector column (int @var{i}) const |
|
516 @deftypefnx {} ColumnVector column (char *s) const |
|
517 @end deftypefn |
|
518 |
|
519 @deftypefn {} DiagMatrix inverse (void) const |
|
520 @deftypefnx {} DiagMatrix inverse (int &@var{info}) const |
|
521 @end deftypefn |
|
522 |
|
523 @deftypefn {} DiagMatrix& {operator +=} (const DiagMatrix &@var{a}) |
|
524 @deftypefnx {} DiagMatrix& {operator -=} (const DiagMatrix &@var{a}) |
|
525 @end deftypefn |
|
526 |
|
527 @deftypefn {} {Matrix} {operator +} (const DiagMatrix &@var{a}, double @var{s}) |
|
528 @deftypefnx {} {Matrix} {operator -} (const DiagMatrix &@var{a}, double @var{s}) |
|
529 @end deftypefn |
|
530 |
|
531 @deftypefn {} {ComplexMatrix} {operator +} (const DiagMatrix &@var{a}, const Complex &@var{s}) |
|
532 @deftypefnx {} {ComplexMatrix} {operator -} (const DiagMatrix &@var{a}, const Complex &@var{s}) |
|
533 @end deftypefn |
|
534 |
|
535 @deftypefn {} {ComplexDiagMatrix} {operator *} (const DiagMatrix &@var{a}, const Complex &@var{s}) |
|
536 @deftypefnx {} {ComplexDiagMatrix} {operator /} (const DiagMatrix &@var{a}, const Complex &@var{s}) |
|
537 @end deftypefn |
|
538 |
|
539 @deftypefn {} {Matrix} {operator +} (double @var{s}, const DiagMatrix &@var{a}) |
|
540 @deftypefnx {} {Matrix} {operator -} (double @var{s}, const DiagMatrix &@var{a}) |
|
541 @end deftypefn |
|
542 |
|
543 @deftypefn {} {ComplexMatrix} {operator +} (const Complex &@var{s}, const DiagMatrix &@var{a}) |
|
544 @deftypefnx {} {ComplexMatrix} {operator -} (const Complex &@var{s}, const DiagMatrix &@var{a}) |
|
545 @end deftypefn |
|
546 |
|
547 @deftypefn {} {ComplexDiagMatrix} {operator *} (const Complex &@var{s}, const DiagMatrix &@var{a}) |
|
548 @end deftypefn |
|
549 |
|
550 @deftypefn {} {ColumnVector} {operator *} (const DiagMatrix &@var{a}, const ColumnVector &@var{b}) |
|
551 @end deftypefn |
|
552 |
|
553 @deftypefn {} {ComplexColumnVector} {operator *} (const DiagMatrix &@var{a}, const ComplexColumnVector &@var{b}) |
|
554 @end deftypefn |
|
555 |
|
556 @deftypefn {} {ComplexDiagMatrix} {operator +} (const DiagMatrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
|
557 @deftypefnx {} {ComplexDiagMatrix} {operator -} (const DiagMatrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
|
558 @end deftypefn |
|
559 |
|
560 @deftypefn {} {ComplexDiagMatrix} product (const DiagMatrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
|
561 @end deftypefn |
|
562 |
|
563 @deftypefn {} {Matrix} {operator +} (const DiagMatrix &@var{a}, const Matrix &@var{b}) |
|
564 @deftypefnx {} {Matrix} {operator -} (const DiagMatrix &@var{a}, const Matrix &@var{b}) |
|
565 @deftypefnx {} {Matrix} {operator *} (const DiagMatrix &@var{a}, const Matrix &@var{b}) |
|
566 @end deftypefn |
|
567 |
|
568 @deftypefn {} {ComplexMatrix} {operator +} (const DiagMatrix &@var{a}, const ComplexMatrix &@var{b}) |
|
569 @deftypefnx {} {ComplexMatrix} {operator -} (const DiagMatrix &@var{a}, const ComplexMatrix &@var{b}) |
|
570 @deftypefnx {} {ComplexMatrix} {operator *} (const DiagMatrix &@var{a}, const ComplexMatrix &@var{b}) |
|
571 @end deftypefn |
|
572 |
|
573 @deftypefn {} ColumnVector diag (void) const |
|
574 @deftypefnx {} ColumnVector diag (int @var{k}) const |
|
575 @end deftypefn |
|
576 |
|
577 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const DiagMatrix &@var{a}) |
|
578 @end deftypefn |
|
579 |
5647
|
580 @deftypefn {} {} ComplexMatrix (void) |
|
581 @deftypefnx {} {} ComplexMatrix (int @var{r}, int @var{c}) |
|
582 @deftypefnx {} {} ComplexMatrix (int @var{r}, int @var{c}, const Complex &@var{val}) |
|
583 @deftypefnx {} {} ComplexMatrix (const Matrix &@var{a}) |
|
584 @deftypefnx {} {} ComplexMatrix (const Array2<Complex> &@var{a}) |
|
585 @deftypefnx {} {} ComplexMatrix (const ComplexMatrix &@var{a}) |
|
586 @deftypefnx {} {} ComplexMatrix (const DiagMatrix &@var{a}) |
|
587 @deftypefnx {} {} ComplexMatrix (const DiagArray<Complex> &@var{a}) |
|
588 @deftypefnx {} {} ComplexMatrix (const ComplexDiagMatrix &@var{a}) |
2333
|
589 @end deftypefn |
|
590 |
|
591 @deftypefn {} ComplexMatrix& {operator =} (const ComplexMatrix &@var{a}) |
|
592 @end deftypefn |
|
593 |
|
594 @deftypefn {} int {operator ==} (const ComplexMatrix &@var{a}) const |
|
595 @deftypefnx {} int {operator !=} (const ComplexMatrix &@var{a}) const |
|
596 @end deftypefn |
|
597 |
|
598 @deftypefn {} ComplexMatrix& insert (const Matrix &@var{a}, int @var{r}, int @var{c}) |
|
599 @deftypefnx {} ComplexMatrix& insert (const RowVector &@var{a}, int @var{r}, int @var{c}) |
|
600 @deftypefnx {} ComplexMatrix& insert (const ColumnVector &@var{a}, int @var{r}, int @var{c}) |
|
601 @deftypefnx {} ComplexMatrix& insert (const DiagMatrix &@var{a}, int @var{r}, int @var{c}) |
|
602 @end deftypefn |
|
603 |
|
604 @deftypefn {} ComplexMatrix& insert (const ComplexMatrix &@var{a}, int @var{r}, int @var{c}) |
|
605 @deftypefnx {} ComplexMatrix& insert (const ComplexRowVector &@var{a}, int @var{r}, int @var{c}) |
|
606 @deftypefnx {} ComplexMatrix& insert (const ComplexColumnVector &@var{a}, int @var{r}, int @var{c}) |
|
607 @deftypefnx {} ComplexMatrix& insert (const ComplexDiagMatrix &@var{a}, int @var{r}, int @var{c}) |
|
608 @end deftypefn |
|
609 |
|
610 @deftypefn {} ComplexMatrix& fill (double @var{val}) |
|
611 @deftypefnx {} ComplexMatrix& fill (const Complex &@var{val}) |
|
612 @deftypefnx {} ComplexMatrix& fill (double @var{val}, int r1, int c1, int r2, int c2) |
|
613 @deftypefnx {} ComplexMatrix& fill (const Complex &@var{val}, int r1, int c1, int r2, int c2) |
|
614 @end deftypefn |
|
615 |
|
616 @deftypefn {} ComplexMatrix append (const Matrix &@var{a}) const |
|
617 @deftypefnx {} ComplexMatrix append (const RowVector &@var{a}) const |
|
618 @deftypefnx {} ComplexMatrix append (const ColumnVector &@var{a}) const |
|
619 @deftypefnx {} ComplexMatrix append (const DiagMatrix &@var{a}) const |
|
620 @end deftypefn |
|
621 |
|
622 @deftypefn {} ComplexMatrix append (const ComplexMatrix &@var{a}) const |
|
623 @deftypefnx {} ComplexMatrix append (const ComplexRowVector &@var{a}) const |
|
624 @deftypefnx {} ComplexMatrix append (const ComplexColumnVector &@var{a}) const |
|
625 @deftypefnx {} ComplexMatrix append (const ComplexDiagMatrix &@var{a}) const |
|
626 @end deftypefn |
|
627 |
|
628 @deftypefn {} ComplexMatrix stack (const Matrix &@var{a}) const |
|
629 @deftypefnx {} ComplexMatrix stack (const RowVector &@var{a}) const |
|
630 @deftypefnx {} ComplexMatrix stack (const ColumnVector &@var{a}) const |
|
631 @deftypefnx {} ComplexMatrix stack (const DiagMatrix &@var{a}) const |
|
632 @end deftypefn |
|
633 |
|
634 @deftypefn {} ComplexMatrix stack (const ComplexMatrix &@var{a}) const |
|
635 @deftypefnx {} ComplexMatrix stack (const ComplexRowVector &@var{a}) const |
|
636 @deftypefnx {} ComplexMatrix stack (const ComplexColumnVector &@var{a}) const |
|
637 @deftypefnx {} ComplexMatrix stack (const ComplexDiagMatrix &@var{a}) const |
|
638 @end deftypefn |
|
639 |
|
640 @deftypefn {} ComplexMatrix transpose (void) const |
|
641 @end deftypefn |
|
642 |
|
643 @deftypefn {} {Matrix} real (const ComplexMatrix &@var{a}) |
|
644 @deftypefnx {} {Matrix} imag (const ComplexMatrix &@var{a}) |
|
645 @deftypefnx {} {ComplexMatrix} conj (const ComplexMatrix &@var{a}) |
|
646 @end deftypefn |
|
647 |
|
648 @deftypefn {} ComplexMatrix extract (int r1, int c1, int r2, int c2) const |
|
649 @end deftypefn |
|
650 |
|
651 @deftypefn {} ComplexRowVector row (int @var{i}) const |
|
652 @deftypefnx {} ComplexRowVector row (char *s) const |
|
653 @end deftypefn |
|
654 |
|
655 @deftypefn {} ComplexColumnVector column (int @var{i}) const |
|
656 @deftypefnx {} ComplexColumnVector column (char *s) const |
|
657 @end deftypefn |
|
658 |
|
659 @deftypefn {} ComplexMatrix inverse (void) const |
|
660 @deftypefnx {} ComplexMatrix inverse (int &@var{info}) const |
|
661 @deftypefnx {} ComplexMatrix inverse (int &@var{info}, double &@var{rcond}) const |
|
662 @end deftypefn |
|
663 |
|
664 @deftypefn {} ComplexMatrix fourier (void) const |
|
665 @deftypefnx {} ComplexMatrix ifourier (void) const |
|
666 @end deftypefn |
|
667 |
|
668 @deftypefn {} ComplexDET determinant (void) const |
|
669 @deftypefnx {} ComplexDET determinant (int &@var{info}) const |
|
670 @deftypefnx {} ComplexDET determinant (int &@var{info}, double &@var{rcond}) const |
|
671 @end deftypefn |
|
672 |
|
673 @deftypefn {} ComplexMatrix solve (const Matrix &@var{b}) const |
|
674 @deftypefnx {} ComplexMatrix solve (const Matrix &@var{b}, int &@var{info}) const |
|
675 @deftypefnx {} ComplexMatrix solve (const Matrix &@var{b}, int &@var{info}, double &@var{rcond}) const |
|
676 @end deftypefn |
|
677 |
|
678 @deftypefn {} ComplexMatrix solve (const ComplexMatrix &@var{b}) const |
|
679 @deftypefnx {} ComplexMatrix solve (const ComplexMatrix &@var{b}, int &@var{info}) const |
|
680 @deftypefnx {} ComplexMatrix solve (const ComplexMatrix &@var{b}, int &@var{info}, double &@var{rcond}) const |
|
681 @end deftypefn |
|
682 |
|
683 @deftypefn {} ComplexColumnVector solve (const ComplexColumnVector &@var{b}) const |
|
684 @deftypefnx {} ComplexColumnVector solve (const ComplexColumnVector &@var{b}, int &@var{info}) const |
|
685 @deftypefnx {} ComplexColumnVector solve (const ComplexColumnVector &@var{b}, int &@var{info}, double &@var{rcond}) const |
|
686 @end deftypefn |
|
687 |
|
688 @deftypefn {} ComplexMatrix lssolve (const ComplexMatrix &@var{b}) const |
|
689 @deftypefnx {} ComplexMatrix lssolve (const ComplexMatrix &@var{b}, int &@var{info}) const |
|
690 @deftypefnx {} ComplexMatrix lssolve (const ComplexMatrix &@var{b}, int &@var{info}, int &@var{rank}) const |
|
691 @end deftypefn |
|
692 |
|
693 @deftypefn {} ComplexColumnVector lssolve (const ComplexColumnVector &@var{b}) const |
|
694 @deftypefnx {} ComplexColumnVector lssolve (const ComplexColumnVector &@var{b}, int &@var{info}) const |
|
695 @deftypefnx {} ComplexColumnVector lssolve (const ComplexColumnVector &@var{b}, int &@var{info}, int &@var{rank}) const |
|
696 @end deftypefn |
|
697 |
|
698 @deftypefn {} ComplexMatrix& {operator +=} (const DiagMatrix &@var{a}) |
|
699 @deftypefnx {} ComplexMatrix& {operator -=} (const DiagMatrix &@var{a}) |
|
700 @end deftypefn |
|
701 |
|
702 @deftypefn {} ComplexMatrix& {operator +=} (const ComplexDiagMatrix &@var{a}) |
|
703 @deftypefnx {} ComplexMatrix& {operator -=} (const ComplexDiagMatrix &@var{a}) |
|
704 @end deftypefn |
|
705 |
|
706 @deftypefn {} ComplexMatrix& {operator +=} (const Matrix &@var{a}) |
|
707 @deftypefnx {} ComplexMatrix& {operator -=} (const Matrix &@var{a}) |
|
708 @end deftypefn |
|
709 |
|
710 @deftypefn {} ComplexMatrix& {operator +=} (const ComplexMatrix &@var{a}) |
|
711 @deftypefnx {} ComplexMatrix& {operator -=} (const ComplexMatrix &@var{a}) |
|
712 @end deftypefn |
|
713 |
|
714 @deftypefn {} Matrix {operator !} (void) const |
|
715 @end deftypefn |
|
716 |
|
717 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexMatrix &@var{a}, double @var{s}) |
|
718 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexMatrix &@var{a}, double @var{s}) |
|
719 @deftypefnx {} {ComplexMatrix} {operator *} (const ComplexMatrix &@var{a}, double @var{s}) |
|
720 @deftypefnx {} {ComplexMatrix} {operator /} (const ComplexMatrix &@var{a}, double @var{s}) |
|
721 @end deftypefn |
|
722 |
|
723 @deftypefn {} {ComplexMatrix} {operator +} (double @var{s}, const ComplexMatrix &@var{a}) |
|
724 @deftypefnx {} {ComplexMatrix} {operator -} (double @var{s}, const ComplexMatrix &@var{a}) |
|
725 @deftypefnx {} {ComplexMatrix} {operator *} (double @var{s}, const ComplexMatrix &@var{a}) |
|
726 @deftypefnx {} {ComplexMatrix} {operator /} (double @var{s}, const ComplexMatrix &@var{a}) |
|
727 @end deftypefn |
|
728 |
|
729 @deftypefn {} {ComplexColumnVector} {operator *} (const ComplexMatrix &@var{a}, const ColumnVector &@var{b}) |
|
730 @end deftypefn |
|
731 |
|
732 @deftypefn {} {ComplexColumnVector} {operator *} (const ComplexMatrix &@var{a}, const ComplexColumnVector &@var{b}) |
|
733 @end deftypefn |
|
734 |
|
735 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexMatrix &@var{a}, const DiagMatrix &@var{b}) |
|
736 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexMatrix &@var{a}, const DiagMatrix &@var{b}) |
|
737 @deftypefnx {} {ComplexMatrix} {operator *} (const ComplexMatrix &@var{a}, const DiagMatrix &@var{b}) |
|
738 @end deftypefn |
|
739 |
|
740 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexMatrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
|
741 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexMatrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
|
742 @deftypefnx {} {ComplexMatrix} {operator *} (const ComplexMatrix &@var{a}, const ComplexDiagMatrix &@var{b}) |
|
743 @end deftypefn |
|
744 |
|
745 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexMatrix &@var{a}, const Matrix &@var{b}) |
|
746 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexMatrix &@var{a}, const Matrix &@var{b}) |
|
747 @end deftypefn |
|
748 |
|
749 @deftypefn {} {ComplexMatrix} {operator *} (const ComplexMatrix &@var{a}, const Matrix &@var{b}) |
|
750 @deftypefnx {} {ComplexMatrix} {operator *} (const ComplexMatrix &@var{a}, const ComplexMatrix &@var{b}) |
|
751 @end deftypefn |
|
752 |
|
753 @deftypefn {} {ComplexMatrix} product (const ComplexMatrix &@var{a}, const Matrix &@var{b}) |
|
754 @deftypefnx {} {ComplexMatrix} quotient (const ComplexMatrix &@var{a}, const Matrix &@var{b}) |
|
755 @end deftypefn |
|
756 |
|
757 @deftypefn {} {ComplexMatrix} map (c_c_Mapper @var{f}, const ComplexMatrix &@var{a}) |
|
758 @deftypefnx {} {Matrix} map (d_c_Mapper @var{f}, const ComplexMatrix &@var{a}) |
|
759 @deftypefnx {} void map (c_c_Mapper @var{f}) |
|
760 @end deftypefn |
|
761 |
|
762 @deftypefn {} Matrix all (void) const |
|
763 @deftypefnx {} Matrix any (void) const |
|
764 @end deftypefn |
|
765 |
|
766 @deftypefn {} ComplexMatrix cumprod (void) const |
|
767 @deftypefnx {} ComplexMatrix cumsum (void) const |
|
768 @deftypefnx {} ComplexMatrix prod (void) const |
|
769 @deftypefnx {} ComplexMatrix sum (void) const |
|
770 @deftypefnx {} ComplexMatrix sumsq (void) const |
|
771 @end deftypefn |
|
772 |
|
773 @deftypefn {} ComplexColumnVector diag (void) const |
|
774 @deftypefnx {} ComplexColumnVector diag (int @var{k}) const |
|
775 @end deftypefn |
|
776 |
|
777 @deftypefn {} ComplexColumnVector row_min (void) const |
|
778 @deftypefnx {} ComplexColumnVector row_min_loc (void) const |
|
779 @end deftypefn |
|
780 |
|
781 @deftypefn {} ComplexColumnVector row_max (void) const |
|
782 @deftypefnx {} ComplexColumnVector row_max_loc (void) const |
|
783 @end deftypefn |
|
784 |
|
785 @deftypefn {} ComplexRowVector column_min (void) const |
|
786 @deftypefnx {} ComplexRowVector column_min_loc (void) const |
|
787 @end deftypefn |
|
788 |
|
789 @deftypefn {} ComplexRowVector column_max (void) const |
|
790 @deftypefnx {} ComplexRowVector column_max_loc (void) const |
|
791 @end deftypefn |
|
792 |
|
793 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const ComplexMatrix &@var{a}) |
|
794 @deftypefnx {} {istream&} {operator >>} (istream &@var{is}, ComplexMatrix &@var{a}) |
|
795 @end deftypefn |
|
796 |
5647
|
797 @deftypefn {} {} ComplexColumnVector (void) |
|
798 @deftypefnx {} {} ComplexColumnVector (int @var{n}) |
|
799 @deftypefnx {} {} ComplexColumnVector (int @var{n}, const Complex &@var{val}) |
|
800 @deftypefnx {} {} ComplexColumnVector (const ColumnVector &@var{a}) |
|
801 @deftypefnx {} {} ComplexColumnVector (const Array<Complex> &@var{a}) |
|
802 @deftypefnx {} {} ComplexColumnVector (const ComplexColumnVector &@var{a}) |
2333
|
803 @end deftypefn |
|
804 |
|
805 @deftypefn {} ComplexColumnVector& {operator =} (const ComplexColumnVector &@var{a}) |
|
806 @end deftypefn |
|
807 |
|
808 @deftypefn {} int {operator ==} (const ComplexColumnVector &@var{a}) const |
|
809 @deftypefnx {} int {operator !=} (const ComplexColumnVector &@var{a}) const |
|
810 @end deftypefn |
|
811 |
|
812 @deftypefn {} ComplexColumnVector& insert (const ColumnVector &@var{a}, int @var{r}) |
|
813 @deftypefnx {} ComplexColumnVector& insert (const ComplexColumnVector &@var{a}, int @var{r}) |
|
814 @end deftypefn |
|
815 |
|
816 @deftypefn {} ComplexColumnVector& fill (double @var{val}) |
|
817 @deftypefnx {} ComplexColumnVector& fill (const Complex &@var{val}) |
|
818 @deftypefnx {} ComplexColumnVector& fill (double @var{val}, int r1, int r2) |
|
819 @deftypefnx {} ComplexColumnVector& fill (const Complex &@var{val}, int r1, int r2) |
|
820 @end deftypefn |
|
821 |
|
822 @deftypefn {} ComplexColumnVector stack (const ColumnVector &@var{a}) const |
|
823 @deftypefnx {} ComplexColumnVector stack (const ComplexColumnVector &@var{a}) const |
|
824 @end deftypefn |
|
825 |
|
826 @deftypefn {} ComplexRowVector transpose (void) const |
|
827 @end deftypefn |
|
828 |
|
829 @deftypefn {} {ColumnVector} real (const ComplexColumnVector &@var{a}) |
|
830 @deftypefnx {} {ColumnVector} imag (const ComplexColumnVector &@var{a}) |
|
831 @deftypefnx {} {ComplexColumnVector} conj (const ComplexColumnVector &@var{a}) |
|
832 @end deftypefn |
|
833 |
|
834 @deftypefn {} ComplexColumnVector extract (int r1, int r2) const |
|
835 @end deftypefn |
|
836 |
|
837 @deftypefn {} ComplexColumnVector& {operator +=} (const ColumnVector &@var{a}) |
|
838 @deftypefnx {} ComplexColumnVector& {operator -=} (const ColumnVector &@var{a}) |
|
839 @end deftypefn |
|
840 |
|
841 @deftypefn {} ComplexColumnVector& {operator +=} (const ComplexColumnVector &@var{a}) |
|
842 @deftypefnx {} ComplexColumnVector& {operator -=} (const ComplexColumnVector &@var{a}) |
|
843 @end deftypefn |
|
844 |
|
845 @deftypefn {} {ComplexColumnVector} {operator +} (const ComplexColumnVector &@var{a}, double @var{s}) |
|
846 @deftypefnx {} {ComplexColumnVector} {operator -} (const ComplexColumnVector &@var{a}, double @var{s}) |
|
847 @deftypefnx {} {ComplexColumnVector} {operator *} (const ComplexColumnVector &@var{a}, double @var{s}) |
|
848 @deftypefnx {} {ComplexColumnVector} {operator /} (const ComplexColumnVector &@var{a}, double @var{s}) |
|
849 @end deftypefn |
|
850 |
|
851 @deftypefn {} {ComplexColumnVector} {operator +} (double @var{s}, const ComplexColumnVector &@var{a}) |
|
852 @deftypefnx {} {ComplexColumnVector} {operator -} (double @var{s}, const ComplexColumnVector &@var{a}) |
|
853 @deftypefnx {} {ComplexColumnVector} {operator *} (double @var{s}, const ComplexColumnVector &@var{a}) |
|
854 @deftypefnx {} {ComplexColumnVector} {operator /} (double @var{s}, const ComplexColumnVector &@var{a}) |
|
855 @end deftypefn |
|
856 |
|
857 @deftypefn {} {ComplexMatrix} {operator *} (const ComplexColumnVector &@var{a}, const ComplexRowVector &@var{b}) |
|
858 @end deftypefn |
|
859 |
|
860 @deftypefn {} {ComplexColumnVector} {operator +} (const ComplexColumnVector &@var{a}, const ColumnVector &@var{b}) |
|
861 @deftypefnx {} {ComplexColumnVector} {operator -} (const ComplexColumnVector &@var{a}, const ColumnVector &@var{b}) |
|
862 @end deftypefn |
|
863 |
|
864 @deftypefn {} {ComplexColumnVector} product (const ComplexColumnVector &@var{a}, const ColumnVector &@var{b}) |
|
865 @deftypefnx {} {ComplexColumnVector} quotient (const ComplexColumnVector &@var{a}, const ColumnVector &@var{b}) |
|
866 @end deftypefn |
|
867 |
|
868 @deftypefn {} {ComplexColumnVector} map (c_c_Mapper @var{f}, const ComplexColumnVector &@var{a}) |
|
869 @deftypefnx {} {ColumnVector} map (d_c_Mapper @var{f}, const ComplexColumnVector &@var{a}) |
|
870 @deftypefnx {} void map (c_c_Mapper @var{f}) |
|
871 @end deftypefn |
|
872 |
|
873 @deftypefn {} Complex min (void) const |
|
874 @deftypefnx {} Complex max (void) const |
|
875 @end deftypefn |
|
876 |
|
877 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const ComplexColumnVector &@var{a}) |
|
878 @end deftypefn |
|
879 |
5647
|
880 @deftypefn {} {} ComplexRowVector (void) |
|
881 @deftypefnx {} {} ComplexRowVector (int @var{n}) |
|
882 @deftypefnx {} {} ComplexRowVector (int @var{n}, const Complex &@var{val}) |
|
883 @deftypefnx {} {} ComplexRowVector (const RowVector &@var{a}) |
|
884 @deftypefnx {} {} ComplexRowVector (const Array<Complex> &@var{a}) |
|
885 @deftypefnx {} {} ComplexRowVector (const ComplexRowVector &@var{a}) |
2333
|
886 @end deftypefn |
|
887 |
|
888 @deftypefn {} ComplexRowVector& {operator =} (const ComplexRowVector &@var{a}) |
|
889 @end deftypefn |
|
890 |
|
891 @deftypefn {} int {operator ==} (const ComplexRowVector &@var{a}) const |
|
892 @deftypefnx {} int {operator !=} (const ComplexRowVector &@var{a}) const |
|
893 @end deftypefn |
|
894 |
|
895 @deftypefn {} ComplexRowVector& insert (const RowVector &@var{a}, int @var{c}) |
|
896 @deftypefnx {} ComplexRowVector& insert (const ComplexRowVector &@var{a}, int @var{c}) |
|
897 @end deftypefn |
|
898 |
|
899 @deftypefn {} ComplexRowVector& fill (double @var{val}) |
|
900 @deftypefnx {} ComplexRowVector& fill (const Complex &@var{val}) |
|
901 @deftypefnx {} ComplexRowVector& fill (double @var{val}, int c1, int c2) |
|
902 @deftypefnx {} ComplexRowVector& fill (const Complex &@var{val}, int c1, int c2) |
|
903 @end deftypefn |
|
904 |
|
905 @deftypefn {} ComplexRowVector append (const RowVector &@var{a}) const |
|
906 @deftypefnx {} ComplexRowVector append (const ComplexRowVector &@var{a}) const |
|
907 @end deftypefn |
|
908 |
|
909 @deftypefn {} ComplexColumnVector transpose (void) const |
|
910 @end deftypefn |
|
911 |
|
912 @deftypefn {} {RowVector} real (const ComplexRowVector &@var{a}) |
|
913 @deftypefnx {} {RowVector} imag (const ComplexRowVector &@var{a}) |
|
914 @deftypefnx {} {ComplexRowVector} conj (const ComplexRowVector &@var{a}) |
|
915 @end deftypefn |
|
916 |
|
917 @deftypefn {} ComplexRowVector extract (int c1, int c2) const |
|
918 @end deftypefn |
|
919 |
|
920 @deftypefn {} ComplexRowVector& {operator +=} (const RowVector &@var{a}) |
|
921 @deftypefnx {} ComplexRowVector& {operator -=} (const RowVector &@var{a}) |
|
922 @end deftypefn |
|
923 |
|
924 @deftypefn {} ComplexRowVector& {operator +=} (const ComplexRowVector &@var{a}) |
|
925 @deftypefnx {} ComplexRowVector& {operator -=} (const ComplexRowVector &@var{a}) |
|
926 @end deftypefn |
|
927 |
|
928 @deftypefn {} {ComplexRowVector} {operator +} (const ComplexRowVector &@var{a}, double @var{s}) |
|
929 @deftypefnx {} {ComplexRowVector} {operator -} (const ComplexRowVector &@var{a}, double @var{s}) |
|
930 @deftypefnx {} {ComplexRowVector} {operator *} (const ComplexRowVector &@var{a}, double @var{s}) |
|
931 @deftypefnx {} {ComplexRowVector} {operator /} (const ComplexRowVector &@var{a}, double @var{s}) |
|
932 @end deftypefn |
|
933 |
|
934 @deftypefn {} {ComplexRowVector} {operator +} (double @var{s}, const ComplexRowVector &@var{a}) |
|
935 @deftypefnx {} {ComplexRowVector} {operator -} (double @var{s}, const ComplexRowVector &@var{a}) |
|
936 @deftypefnx {} {ComplexRowVector} {operator *} (double @var{s}, const ComplexRowVector &@var{a}) |
|
937 @deftypefnx {} {ComplexRowVector} {operator /} (double @var{s}, const ComplexRowVector &@var{a}) |
|
938 @end deftypefn |
|
939 |
|
940 @deftypefn {} {Complex} {operator *} (const ComplexRowVector &@var{a}, const ColumnVector &@var{b}) |
|
941 @end deftypefn |
|
942 |
|
943 @deftypefn {} {Complex} {operator *} (const ComplexRowVector &@var{a}, const ComplexColumnVector &@var{b}) |
|
944 @end deftypefn |
|
945 |
|
946 @deftypefn {} {ComplexRowVector} {operator *} (const ComplexRowVector &@var{a}, const ComplexMatrix &@var{b}) |
|
947 @end deftypefn |
|
948 |
|
949 @deftypefn {} {ComplexRowVector} {operator +} (const ComplexRowVector &@var{a}, const RowVector &@var{b}) |
|
950 @deftypefnx {} {ComplexRowVector} {operator -} (const ComplexRowVector &@var{a}, const RowVector &@var{b}) |
|
951 @end deftypefn |
|
952 |
|
953 @deftypefn {} {ComplexRowVector} product (const ComplexRowVector &@var{a}, const RowVector &@var{b}) |
|
954 @deftypefnx {} {ComplexRowVector} quotient (const ComplexRowVector &@var{a}, const RowVector &@var{b}) |
|
955 @end deftypefn |
|
956 |
|
957 @deftypefn {} {ComplexRowVector} map (c_c_Mapper @var{f}, const ComplexRowVector &@var{a}) |
|
958 @deftypefnx {} {RowVector} map (d_c_Mapper @var{f}, const ComplexRowVector &@var{a}) |
|
959 @deftypefnx {} void map (c_c_Mapper @var{f}) |
|
960 @end deftypefn |
|
961 |
|
962 @deftypefn {} Complex min (void) const |
|
963 @deftypefnx {} Complex max (void) const |
|
964 @end deftypefn |
|
965 |
|
966 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const ComplexRowVector &@var{a}) |
|
967 @end deftypefn |
|
968 |
5647
|
969 @deftypefn {} {} ComplexDiagMatrix (void) |
|
970 @deftypefnx {} {} ComplexDiagMatrix (int @var{n}) |
|
971 @deftypefnx {} {} ComplexDiagMatrix (int @var{n}, const Complex &@var{val}) |
|
972 @deftypefnx {} {} ComplexDiagMatrix (int @var{r}, int @var{c}) |
|
973 @deftypefnx {} {} ComplexDiagMatrix (int @var{r}, int @var{c}, const Complex &@var{val}) |
|
974 @deftypefnx {} {} ComplexDiagMatrix (const RowVector &@var{a}) |
|
975 @deftypefnx {} {} ComplexDiagMatrix (const ComplexRowVector &@var{a}) |
|
976 @deftypefnx {} {} ComplexDiagMatrix (const ColumnVector &@var{a}) |
|
977 @deftypefnx {} {} ComplexDiagMatrix (const ComplexColumnVector &@var{a}) |
|
978 @deftypefnx {} {} ComplexDiagMatrix (const DiagMatrix &@var{a}) |
|
979 @deftypefnx {} {} ComplexDiagMatrix (const DiagArray<Complex> &@var{a}) |
|
980 @deftypefnx {} {} ComplexDiagMatrix (const ComplexDiagMatrix &@var{a}) |
2333
|
981 @end deftypefn |
|
982 |
|
983 @deftypefn {} ComplexDiagMatrix& {operator =} (const ComplexDiagMatrix &@var{a}) |
|
984 @end deftypefn |
|
985 |
|
986 @deftypefn {} int {operator ==} (const ComplexDiagMatrix &@var{a}) const |
|
987 @deftypefnx {} int {operator !=} (const ComplexDiagMatrix &@var{a}) const |
|
988 @end deftypefn |
|
989 |
|
990 @deftypefn {} ComplexDiagMatrix& fill (double @var{val}) |
|
991 @deftypefnx {} ComplexDiagMatrix& fill (const Complex &@var{val}) |
|
992 @deftypefnx {} ComplexDiagMatrix& fill (double @var{val}, int @var{beg}, int @var{end}) |
|
993 @deftypefnx {} ComplexDiagMatrix& fill (const Complex &@var{val}, int @var{beg}, int @var{end}) |
|
994 @deftypefnx {} ComplexDiagMatrix& fill (const ColumnVector &@var{a}) |
|
995 @deftypefnx {} ComplexDiagMatrix& fill (const ComplexColumnVector &@var{a}) |
|
996 @deftypefnx {} ComplexDiagMatrix& fill (const RowVector &@var{a}) |
|
997 @deftypefnx {} ComplexDiagMatrix& fill (const ComplexRowVector &@var{a}) |
|
998 @deftypefnx {} ComplexDiagMatrix& fill (const ColumnVector &@var{a}, int @var{beg}) |
|
999 @deftypefnx {} ComplexDiagMatrix& fill (const ComplexColumnVector &@var{a}, int @var{beg}) |
|
1000 @deftypefnx {} ComplexDiagMatrix& fill (const RowVector &@var{a}, int @var{beg}) |
|
1001 @deftypefnx {} ComplexDiagMatrix& fill (const ComplexRowVector &@var{a}, int @var{beg}) |
|
1002 @end deftypefn |
|
1003 |
|
1004 @deftypefn {} ComplexDiagMatrix transpose (void) const |
|
1005 @end deftypefn |
|
1006 |
|
1007 @deftypefn {} {DiagMatrix} real (const ComplexDiagMatrix &@var{a}) |
|
1008 @deftypefnx {} {DiagMatrix} imag (const ComplexDiagMatrix &@var{a}) |
|
1009 @deftypefnx {} {ComplexDiagMatrix} conj (const ComplexDiagMatrix &@var{a}) |
|
1010 @end deftypefn |
|
1011 |
|
1012 @deftypefn {} ComplexMatrix extract (int r1, int c1, int r2, int c2) const |
|
1013 @end deftypefn |
|
1014 |
|
1015 @deftypefn {} ComplexRowVector row (int @var{i}) const |
|
1016 @deftypefnx {} ComplexRowVector row (char *s) const |
|
1017 @end deftypefn |
|
1018 |
|
1019 @deftypefn {} ComplexColumnVector column (int @var{i}) const |
|
1020 @deftypefnx {} ComplexColumnVector column (char *s) const |
|
1021 @end deftypefn |
|
1022 |
|
1023 @deftypefn {} ComplexDiagMatrix inverse (int &@var{info}) const |
|
1024 @deftypefnx {} ComplexDiagMatrix inverse (void) const |
|
1025 @end deftypefn |
|
1026 |
|
1027 @deftypefn {} ComplexDiagMatrix& {operator +=} (const DiagMatrix &@var{a}) |
|
1028 @deftypefnx {} ComplexDiagMatrix& {operator -=} (const DiagMatrix &@var{a}) |
|
1029 @end deftypefn |
|
1030 |
|
1031 @deftypefn {} ComplexDiagMatrix& {operator +=} (const ComplexDiagMatrix &@var{a}) |
|
1032 @deftypefnx {} ComplexDiagMatrix& {operator -=} (const ComplexDiagMatrix &@var{a}) |
|
1033 @end deftypefn |
|
1034 |
|
1035 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexDiagMatrix &@var{a}, double @var{s}) |
|
1036 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexDiagMatrix &@var{a}, double @var{s}) |
|
1037 @end deftypefn |
|
1038 |
|
1039 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexDiagMatrix &@var{a}, const Complex &@var{s}) |
|
1040 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexDiagMatrix &@var{a}, const Complex &@var{s}) |
|
1041 @end deftypefn |
|
1042 |
|
1043 @deftypefn {} {ComplexDiagMatrix} {operator *} (const ComplexDiagMatrix &@var{a}, double @var{s}) |
|
1044 @deftypefnx {} {ComplexDiagMatrix} {operator /} (const ComplexDiagMatrix &@var{a}, double @var{s}) |
|
1045 @end deftypefn |
|
1046 |
|
1047 @deftypefn {} {ComplexMatrix} {operator +} (double @var{s}, const ComplexDiagMatrix &@var{a}) |
|
1048 @deftypefnx {} {ComplexMatrix} {operator -} (double @var{s}, const ComplexDiagMatrix &@var{a}) |
|
1049 @end deftypefn |
|
1050 |
|
1051 @deftypefn {} {ComplexMatrix} {operator +} (const Complex &@var{s}, const ComplexDiagMatrix &@var{a}) |
|
1052 @deftypefnx {} {ComplexMatrix} {operator -} (const Complex &@var{s}, const ComplexDiagMatrix &@var{a}) |
|
1053 @end deftypefn |
|
1054 |
|
1055 @deftypefn {} {ComplexDiagMatrix} {operator *} (double @var{s}, const ComplexDiagMatrix &@var{a}) |
|
1056 @end deftypefn |
|
1057 |
|
1058 @deftypefn {} {ComplexColumnVector} {operator *} (const ComplexDiagMatrix &@var{a}, const ColumnVector &@var{b}) |
|
1059 @end deftypefn |
|
1060 |
|
1061 @deftypefn {} {ComplexColumnVector} {operator *} (const ComplexDiagMatrix &@var{a}, const ComplexColumnVector &@var{b}) |
|
1062 @end deftypefn |
|
1063 |
|
1064 @deftypefn {} {ComplexDiagMatrix} {operator +} (const ComplexDiagMatrix &@var{a}, const DiagMatrix &@var{b}) |
|
1065 @deftypefnx {} {ComplexDiagMatrix} {operator -} (const ComplexDiagMatrix &@var{a}, const DiagMatrix &@var{b}) |
|
1066 @end deftypefn |
|
1067 |
|
1068 @deftypefn {} {ComplexDiagMatrix} product (const ComplexDiagMatrix &@var{a}, const DiagMatrix &@var{b}) |
|
1069 @end deftypefn |
|
1070 |
|
1071 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexDiagMatrix &@var{a}, const Matrix &@var{b}) |
|
1072 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexDiagMatrix &@var{a}, const Matrix &@var{b}) |
|
1073 @deftypefnx {} {ComplexMatrix} {operator *} (const ComplexDiagMatrix &@var{a}, const Matrix &@var{b}) |
|
1074 @end deftypefn |
|
1075 |
|
1076 @deftypefn {} {ComplexMatrix} {operator +} (const ComplexDiagMatrix &@var{a}, const ComplexMatrix &@var{b}) |
|
1077 @deftypefnx {} {ComplexMatrix} {operator -} (const ComplexDiagMatrix &@var{a}, const ComplexMatrix &@var{b}) |
|
1078 @deftypefnx {} {ComplexMatrix} {operator *} (const ComplexDiagMatrix &@var{a}, const ComplexMatrix &@var{b}) |
|
1079 @end deftypefn |
|
1080 |
|
1081 @deftypefn {} ComplexColumnVector diag (void) const |
|
1082 @deftypefnx {} ComplexColumnVector diag (int @var{k}) const |
|
1083 @end deftypefn |
|
1084 |
|
1085 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const ComplexDiagMatrix &@var{a}) |
|
1086 @end deftypefn |