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