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67 | <h1>matfunc.h File Reference</h1>Various functions on vectors and matrices - header file. |
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68 | <a href="#_details">More...</a> |
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69 | <p> |
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70 | <code>#include <<a class="el" href="mat_8h-source.html">itpp/base/mat.h</a>></code><br> |
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71 | <code>#include <<a class="el" href="log__exp_8h-source.html">itpp/base/math/log_exp.h</a>></code><br> |
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72 | <code>#include <<a class="el" href="elem__math_8h-source.html">itpp/base/math/elem_math.h</a>></code><br> |
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73 | <code>#include <<a class="el" href="inv_8h-source.html">itpp/base/algebra/inv.h</a>></code><br> |
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74 | <code>#include <<a class="el" href="svd_8h-source.html">itpp/base/algebra/svd.h</a>></code><br> |
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75 | |
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76 | <p> |
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77 | <a href="matfunc_8h-source.html">Go to the source code of this file.</a><table border="0" cellpadding="0" cellspacing="0"> |
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78 | <tr><td></td></tr> |
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79 | <tr><td colspan="2"><br><h2>Functions</h2></td></tr> |
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80 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g97bb6b35d6d4c683c7558842e4500c2d"></a><!-- doxytag: member="matfunc.h::length" ref="g97bb6b35d6d4c683c7558842e4500c2d" args="(const Vec< T > &v)" --> |
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81 | template<class T > </td></tr> |
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82 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g97bb6b35d6d4c683c7558842e4500c2d">itpp::length</a> (const Vec< T > &v)</td></tr> |
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83 | |
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84 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Length of vector. <br></td></tr> |
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85 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g3c1a2b0972c6a8e1215eb3f76d7c7512"></a><!-- doxytag: member="matfunc.h::size" ref="g3c1a2b0972c6a8e1215eb3f76d7c7512" args="(const Vec< T > &v)" --> |
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86 | template<class T > </td></tr> |
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87 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g3c1a2b0972c6a8e1215eb3f76d7c7512">itpp::size</a> (const Vec< T > &v)</td></tr> |
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88 | |
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89 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Length of vector. <br></td></tr> |
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90 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g8b3dcc61484fce58ee4244d5731e18fa"></a><!-- doxytag: member="matfunc.h::sum" ref="g8b3dcc61484fce58ee4244d5731e18fa" args="(const Vec< T > &v)" --> |
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91 | template<class T > </td></tr> |
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92 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g8b3dcc61484fce58ee4244d5731e18fa">itpp::sum</a> (const Vec< T > &v)</td></tr> |
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93 | |
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94 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of all elements in the vector. <br></td></tr> |
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95 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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96 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gfcf8f54c2f4fc257bbc3111700b08355">itpp::sum</a> (const Mat< T > &m, int dim=1)</td></tr> |
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97 | |
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98 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of elements in the matrix <code>m</code>, either along columns or rows. <a href="group__matrix__functions.html#gfcf8f54c2f4fc257bbc3111700b08355"></a><br></td></tr> |
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99 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g81a7516f7fb453dcb623ad6d4c89a5b7"></a><!-- doxytag: member="matfunc.h::sumsum" ref="g81a7516f7fb453dcb623ad6d4c89a5b7" args="(const Mat< T > &X)" --> |
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100 | template<class T > </td></tr> |
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101 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g81a7516f7fb453dcb623ad6d4c89a5b7">itpp::sumsum</a> (const Mat< T > &X)</td></tr> |
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102 | |
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103 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of all elements in the given matrix. Fast version of sum(sum(X)). <br></td></tr> |
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104 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gc6a1b0e0af40f95bc636ce039c8f1a0f"></a><!-- doxytag: member="matfunc.h::sum_sqr" ref="gc6a1b0e0af40f95bc636ce039c8f1a0f" args="(const Vec< T > &v)" --> |
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105 | template<class T > </td></tr> |
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106 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gc6a1b0e0af40f95bc636ce039c8f1a0f">itpp::sum_sqr</a> (const Vec< T > &v)</td></tr> |
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107 | |
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108 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of square of the elements in a vector. <br></td></tr> |
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109 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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110 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g4c81137a6b9b989a0c5a36972885c1e6">itpp::sum_sqr</a> (const Mat< T > &m, int dim=1)</td></tr> |
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111 | |
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112 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of the square of elements in the matrix <code>m</code>. <a href="group__matrix__functions.html#g4c81137a6b9b989a0c5a36972885c1e6"></a><br></td></tr> |
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113 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g1609c616b581628be87a4faca7778f54"></a><!-- doxytag: member="matfunc.h::cumsum" ref="g1609c616b581628be87a4faca7778f54" args="(const Vec< T > &v)" --> |
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114 | template<class T > </td></tr> |
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115 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g1609c616b581628be87a4faca7778f54">itpp::cumsum</a> (const Vec< T > &v)</td></tr> |
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116 | |
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117 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Cumulative sum of all elements in the vector. <br></td></tr> |
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118 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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119 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g6b5efcaa7c61e429326f4e6e56f11655">itpp::cumsum</a> (const Mat< T > &m, int dim=1)</td></tr> |
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120 | |
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121 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Cumulative sum of elements in the matrix <code>m</code>. <a href="group__matrix__functions.html#g6b5efcaa7c61e429326f4e6e56f11655"></a><br></td></tr> |
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122 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gff8a3812cb84a18f3b52c4bb116feb08"></a><!-- doxytag: member="matfunc.h::prod" ref="gff8a3812cb84a18f3b52c4bb116feb08" args="(const Vec< T > &v)" --> |
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123 | template<class T > </td></tr> |
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124 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gff8a3812cb84a18f3b52c4bb116feb08">itpp::prod</a> (const Vec< T > &v)</td></tr> |
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125 | |
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126 | <tr><td class="mdescLeft"> </td><td class="mdescRight">The product of all elements in the vector. <br></td></tr> |
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127 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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128 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g22fdeace9f20483008cf4dc6d471cbc2">itpp::prod</a> (const Mat< T > &m, int dim=1)</td></tr> |
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129 | |
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130 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Product of elements in the matrix <code>m</code>. <a href="group__matrix__functions.html#g22fdeace9f20483008cf4dc6d471cbc2"></a><br></td></tr> |
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131 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gc9576b3da83bec579bacbfd2cfd71b3e"></a><!-- doxytag: member="matfunc.h::cross" ref="gc9576b3da83bec579bacbfd2cfd71b3e" args="(const Vec< T > &v1, const Vec< T > &v2)" --> |
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132 | template<class T > </td></tr> |
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133 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gc9576b3da83bec579bacbfd2cfd71b3e">itpp::cross</a> (const Vec< T > &v1, const Vec< T > &v2)</td></tr> |
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134 | |
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135 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Vector cross product. Vectors need to be of size 3. <br></td></tr> |
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136 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gb42e2269c4fb80730ac82ef7c85f9cd0"></a><!-- doxytag: member="matfunc.h::zero_pad" ref="gb42e2269c4fb80730ac82ef7c85f9cd0" args="(const Vec< T > &v, int n)" --> |
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137 | template<class T > </td></tr> |
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138 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gb42e2269c4fb80730ac82ef7c85f9cd0">itpp::zero_pad</a> (const Vec< T > &v, int n)</td></tr> |
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139 | |
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140 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Zero-pad a vector to size n. <br></td></tr> |
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141 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="ga92be4bb938ac8c78f6313432210599c"></a><!-- doxytag: member="matfunc.h::zero_pad" ref="ga92be4bb938ac8c78f6313432210599c" args="(const Vec< T > &v)" --> |
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142 | template<class T > </td></tr> |
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143 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#ga92be4bb938ac8c78f6313432210599c">itpp::zero_pad</a> (const Vec< T > &v)</td></tr> |
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144 | |
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145 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Zero-pad a vector to the nearest greater power of two. <br></td></tr> |
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146 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g70bc01fbb0018476a9ba6a74ed75d4ea"></a><!-- doxytag: member="matfunc.h::zero_pad" ref="g70bc01fbb0018476a9ba6a74ed75d4ea" args="(const Mat< T > &m, int rows, int cols)" --> |
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147 | template<class T > </td></tr> |
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148 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g70bc01fbb0018476a9ba6a74ed75d4ea">itpp::zero_pad</a> (const Mat< T > &m, int rows, int cols)</td></tr> |
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149 | |
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150 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Zero-pad a matrix to size rows x cols. <br></td></tr> |
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151 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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152 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gab6a4b173411de9290f0dc401c9dcec7">itpp::index_zero_pad</a> (const Vec< T > &v, const int index)</td></tr> |
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153 | |
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154 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g22c587fbc615e295f2b881c2e5025006"></a><!-- doxytag: member="matfunc.h::transpose" ref="g22c587fbc615e295f2b881c2e5025006" args="(const Mat< T > &m, Mat< T > &out)" --> |
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155 | template<class T > </td></tr> |
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156 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g22c587fbc615e295f2b881c2e5025006">itpp::transpose</a> (const Mat< T > &m, Mat< T > &out)</td></tr> |
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157 | |
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158 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Transposition of the matrix <code>m</code> returning the transposed matrix in <code>out</code>. <br></td></tr> |
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159 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g8c724070b69eb97eae2985e02088feca"></a><!-- doxytag: member="matfunc.h::transpose" ref="g8c724070b69eb97eae2985e02088feca" args="(const Mat< T > &m)" --> |
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160 | template<class T > </td></tr> |
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161 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g8c724070b69eb97eae2985e02088feca">itpp::transpose</a> (const Mat< T > &m)</td></tr> |
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162 | |
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163 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Transposition of the matrix <code>m</code>. <br></td></tr> |
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164 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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165 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#ge71aa93cc176699065fc0e740a50387e">itpp::hermitian_transpose</a> (const Mat< T > &m, Mat< T > &out)</td></tr> |
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166 | |
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167 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g123e8bb976c29bd43d993fcd6e3f3579"></a><!-- doxytag: member="matfunc.h::hermitian_transpose" ref="g123e8bb976c29bd43d993fcd6e3f3579" args="(const Mat< T > &m)" --> |
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168 | template<class T > </td></tr> |
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169 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g123e8bb976c29bd43d993fcd6e3f3579">itpp::hermitian_transpose</a> (const Mat< T > &m)</td></tr> |
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170 | |
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171 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Hermitian transpose (complex conjugate transpose) of the matrix <code>m</code>. <br></td></tr> |
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172 | <tr><td class="memTemplParams" nowrap colspan="2">template<class Num_T > </td></tr> |
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173 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g49691bf233320a2dd8ae9929988f8f91">itpp::is_hermitian</a> (const Mat< Num_T > &X)</td></tr> |
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174 | |
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175 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns true if matrix <code>X</code> is hermitian, false otherwise. <a href="group__matrix__functions.html#g49691bf233320a2dd8ae9929988f8f91"></a><br></td></tr> |
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176 | <tr><td class="memTemplParams" nowrap colspan="2">template<class Num_T > </td></tr> |
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177 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g0e711a4a8db7d9a2ed5515a33dd65d4c">itpp::is_unitary</a> (const Mat< Num_T > &X)</td></tr> |
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178 | |
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179 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns true if matrix <code>X</code> is unitary, false otherwise. <a href="group__matrix__functions.html#g0e711a4a8db7d9a2ed5515a33dd65d4c"></a><br></td></tr> |
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180 | <tr><td class="memTemplParams" nowrap colspan="2">template<class Num_T > </td></tr> |
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181 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< Num_T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g3b60d55399d969b0194f80997d41ea86">itpp::kron</a> (const Mat< Num_T > &X, const Mat< Num_T > &Y)</td></tr> |
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182 | |
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183 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the Kronecker product of two matrices. <a href="group__matrix__functions.html#g3b60d55399d969b0194f80997d41ea86"></a><br></td></tr> |
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184 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g27d79e239d0905bf6b720a1bb117f1de">itpp::sqrtm</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A)</td></tr> |
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185 | |
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186 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Square root of the complex square matrix <code>A</code>. <a href="group__matrix__functions.html#g27d79e239d0905bf6b720a1bb117f1de"></a><br></td></tr> |
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187 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gbb4749a685e730a2dc0ff55313d13a22">itpp::sqrtm</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A)</td></tr> |
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188 | |
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189 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Square root of the real square matrix <code>A</code>. <a href="group__matrix__functions.html#gbb4749a685e730a2dc0ff55313d13a22"></a><br></td></tr> |
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190 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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191 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c">itpp::rank</a> (const Mat< T > &m, double tol=-1.0)</td></tr> |
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192 | |
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193 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Calculate the rank of matrix <code>m</code>. <a href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c"></a><br></td></tr> |
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194 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g36e27d8fdd14e8d5b4a0653c101f1570"></a><!-- doxytag: member="matfunc.h::rank" ref="g36e27d8fdd14e8d5b4a0653c101f1570" args="(const imat &m, double tol)" --> |
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195 | template<> </td></tr> |
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196 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g36e27d8fdd14e8d5b4a0653c101f1570">itpp::rank</a> (const <a class="el" href="classitpp_1_1Mat.html#9e0dd2f635e4bd0b28c09685d9c4f3bb">imat</a> &m, double tol)</td></tr> |
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197 | |
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198 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Specialisation of <a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c" title="Calculate the rank of matrix m.">rank()</a> function. <br></td></tr> |
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199 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g82519e6233d0082856d4acbf84353160"></a><!-- doxytag: member="matfunc.h::rank" ref="g82519e6233d0082856d4acbf84353160" args="(const smat &m, double tol)" --> |
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200 | template<> </td></tr> |
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201 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g82519e6233d0082856d4acbf84353160">itpp::rank</a> (const <a class="el" href="classitpp_1_1Mat.html#debd320317a18c022d3ca856af6d3687">smat</a> &m, double tol)</td></tr> |
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202 | |
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203 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Specialisation of <a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c" title="Calculate the rank of matrix m.">rank()</a> function. <br></td></tr> |
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204 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g6adab7c28deb3fec407684458f0b719d"></a><!-- doxytag: member="matfunc.h::rank" ref="g6adab7c28deb3fec407684458f0b719d" args="(const bmat &, double)" --> |
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205 | template<> </td></tr> |
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206 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g6adab7c28deb3fec407684458f0b719d">itpp::rank</a> (const <a class="el" href="mat_8h.html#f90acd1af41bf2d1d8a4bb23662fff69">bmat</a> &, double)</td></tr> |
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207 | |
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208 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Specialisation of <a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c" title="Calculate the rank of matrix m.">rank()</a> function. <br></td></tr> |
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209 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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210 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#g1a5019e9703cd9f87c3914ab298714ff">itpp::diag</a> (const Vec< T > &v, const int K=0)</td></tr> |
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211 | |
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212 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Create a diagonal matrix using vector <code>v</code> as its diagonal. <a href="group__diag.html#g1a5019e9703cd9f87c3914ab298714ff"></a><br></td></tr> |
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213 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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214 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#g853c555c28b2c812f39962d272ae33ac">itpp::diag</a> (const Vec< T > &v, Mat< T > &m)</td></tr> |
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215 | |
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216 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Create a diagonal matrix using vector <code>v</code> as its diagonal. <a href="group__diag.html#g853c555c28b2c812f39962d272ae33ac"></a><br></td></tr> |
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217 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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218 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#gb0938c932c1cbc19b2ce6c5ac1007553">itpp::diag</a> (const Mat< T > &m)</td></tr> |
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219 | |
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220 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Get the diagonal elements of the input matrix <code>m</code>. <a href="group__diag.html#gb0938c932c1cbc19b2ce6c5ac1007553"></a><br></td></tr> |
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221 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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222 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#g9f2b6719c7de2f116bc794e406c952cc">itpp::bidiag</a> (const Vec< T > &main, const Vec< T > &sup)</td></tr> |
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223 | |
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224 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns a matrix with the elements of the input vector <code>main</code> on the diagonal and the elements of the input vector <code>sup</code> on the diagonal row above. <a href="group__diag.html#g9f2b6719c7de2f116bc794e406c952cc"></a><br></td></tr> |
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225 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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226 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#g2d7f36dc45fb3098131111d172f5b08d">itpp::bidiag</a> (const Vec< T > &main, const Vec< T > &sup, Mat< T > &m)</td></tr> |
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227 | |
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228 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns in the output variable <code>m</code> a matrix with the elements of the input vector <code>main</code> on the diagonal and the elements of the input vector <code>sup</code> on the diagonal row above. <a href="group__diag.html#g2d7f36dc45fb3098131111d172f5b08d"></a><br></td></tr> |
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229 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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230 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#g6b51bb44b5a610731b34f7f0ed2f4748">itpp::bidiag</a> (const Mat< T > &m, Vec< T > &main, Vec< T > &sup)</td></tr> |
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231 | |
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232 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the main diagonal and the diagonal row above in the two output vectors <code>main</code> and <code>sup</code>. <a href="group__diag.html#g6b51bb44b5a610731b34f7f0ed2f4748"></a><br></td></tr> |
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233 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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234 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#g0ff63d5f0db74b830fa918a1866c440b">itpp::tridiag</a> (const Vec< T > &main, const Vec< T > &sup, const Vec< T > &sub)</td></tr> |
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235 | |
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236 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns a matrix with the elements of <code>main</code> on the diagonal, the elements of <code>sup</code> on the diagonal row above, and the elements of <code>sub</code> on the diagonal row below. <a href="group__diag.html#g0ff63d5f0db74b830fa918a1866c440b"></a><br></td></tr> |
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237 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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238 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#geb2b140f8d64b19d7a4462464c59cdca">itpp::tridiag</a> (const Vec< T > &main, const Vec< T > &sup, const Vec< T > &sub, Mat< T > &m)</td></tr> |
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239 | |
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240 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns in the output matrix <code>m</code> a matrix with the elements of <code>main</code> on the diagonal, the elements of <code>sup</code> on the diagonal row above, and the elements of <code>sub</code> on the diagonal row below. <a href="group__diag.html#geb2b140f8d64b19d7a4462464c59cdca"></a><br></td></tr> |
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241 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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242 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#g16dfe03af37710450c28943a3fc4433e">itpp::tridiag</a> (const Mat< T > &m, Vec< T > &main, Vec< T > &sup, Vec< T > &sub)</td></tr> |
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243 | |
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244 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the main diagonal, the diagonal row above, and the diagonal row below int the output vectors <code>main</code>, <code>sup</code>, and <code>sub</code>. <a href="group__diag.html#g16dfe03af37710450c28943a3fc4433e"></a><br></td></tr> |
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245 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gd10b393e16f1a426b6daed5b9b78c3fb"></a><!-- doxytag: member="matfunc.h::trace" ref="gd10b393e16f1a426b6daed5b9b78c3fb" args="(const Mat< T > &m)" --> |
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246 | template<class T > </td></tr> |
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247 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__diag.html#gd10b393e16f1a426b6daed5b9b78c3fb">itpp::trace</a> (const Mat< T > &m)</td></tr> |
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248 | |
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249 | <tr><td class="mdescLeft"> </td><td class="mdescRight">The trace of the matrix <code>m</code>, i.e. the sum of the diagonal elements. <br></td></tr> |
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250 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="ge53eb5ba319eb6a25649576deeb9bca8"></a><!-- doxytag: member="matfunc.h::reverse" ref="ge53eb5ba319eb6a25649576deeb9bca8" args="(const Vec< T > &in)" --> |
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251 | template<class T > </td></tr> |
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252 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__reshaping.html#ge53eb5ba319eb6a25649576deeb9bca8">itpp::reverse</a> (const Vec< T > &in)</td></tr> |
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253 | |
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254 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Reverse the input vector. <br></td></tr> |
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255 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g67069e107b618a919a243f0f21fa8793"></a><!-- doxytag: member="matfunc.h::rvectorize" ref="g67069e107b618a919a243f0f21fa8793" args="(const Mat< T > &m)" --> |
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256 | template<class T > </td></tr> |
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257 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__reshaping.html#g67069e107b618a919a243f0f21fa8793">itpp::rvectorize</a> (const Mat< T > &m)</td></tr> |
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258 | |
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259 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Row vectorize the matrix [(0,0) (0,1) ... (N-1,N-2) (N-1,N-1)]. <br></td></tr> |
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260 | <tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g7796ab7ca5b96ce924c4e3f798f3fbe0"></a><!-- doxytag: member="matfunc.h::cvectorize" ref="g7796ab7ca5b96ce924c4e3f798f3fbe0" args="(const Mat< T > &m)" --> |
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261 | template<class T > </td></tr> |
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262 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__reshaping.html#g7796ab7ca5b96ce924c4e3f798f3fbe0">itpp::cvectorize</a> (const Mat< T > &m)</td></tr> |
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263 | |
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264 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Column vectorize the matrix [(0,0) (1,0) ... (N-2,N-1) (N-1,N-1)]. <br></td></tr> |
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265 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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266 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__reshaping.html#gcf8bc686cea4d9b8d2ddd853ee0e3bc2">itpp::reshape</a> (const Mat< T > &m, int rows, int cols)</td></tr> |
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267 | |
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268 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Reshape the matrix into an rows*cols matrix. <a href="group__reshaping.html#gcf8bc686cea4d9b8d2ddd853ee0e3bc2"></a><br></td></tr> |
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269 | <tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr> |
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270 | <tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__reshaping.html#gcaa0a45900248d17792ec91b2ab94dfb">itpp::reshape</a> (const Vec< T > &v, int rows, int cols)</td></tr> |
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271 | |
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272 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Reshape the vector into an rows*cols matrix. <a href="group__reshaping.html#gcaa0a45900248d17792ec91b2ab94dfb"></a><br></td></tr> |
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273 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8943303111340f2be687512ff112501"></a><!-- doxytag: member="matfunc.h::all" ref="f8943303111340f2be687512ff112501" args="(const bvec &testvec)" --> |
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274 | bool </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceitpp.html#f8943303111340f2be687512ff112501">itpp::all</a> (const <a class="el" href="classitpp_1_1Vec.html#e10151f44bbabf17b670a9493d8088cf">bvec</a> &testvec)</td></tr> |
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275 | |
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276 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns <em>true</em> if all elements are ones and <em>false</em> otherwise. <br></td></tr> |
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277 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1dfa5ed00676e7f2b1a27b039cb4cf16"></a><!-- doxytag: member="matfunc.h::any" ref="1dfa5ed00676e7f2b1a27b039cb4cf16" args="(const bvec &testvec)" --> |
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278 | bool </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceitpp.html#1dfa5ed00676e7f2b1a27b039cb4cf16">itpp::any</a> (const <a class="el" href="classitpp_1_1Vec.html#e10151f44bbabf17b670a9493d8088cf">bvec</a> &testvec)</td></tr> |
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279 | |
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280 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Returns <em>true</em> if any element is one and <em>false</em> otherwise. <br></td></tr> |
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281 | </table> |
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282 | <hr><a name="_details"></a><h2>Detailed Description</h2> |
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283 | Various functions on vectors and matrices - header file. |
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284 | <p> |
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285 | <dl class="author" compact><dt><b>Author:</b></dt><dd>Tony Ottosson, Adam Piatyszek, Conrad Sanderson, Mark Dobossy and Martin Senst</dd></dl> |
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286 | -------------------------------------------------------------------------<p> |
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287 | Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)<p> |
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288 | This file is part of IT++ - a C++ library of mathematical, signal processing, speech processing, and communications classes and functions.<p> |
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289 | IT++ is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.<p> |
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290 | IT++ is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.<p> |
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291 | You should have received a copy of the GNU General Public License along with IT++. If not, see <<a href="http://www.gnu.org/licenses/">http://www.gnu.org/licenses/</a>>.<p> |
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292 | ------------------------------------------------------------------------- </div> |
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293 | <hr size="1"><address style="text-align: right;"><small>Generated on Tue Jun 2 10:02:14 2009 for mixpp by |
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294 | <a href="http://www.doxygen.org/index.html"> |
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295 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> |
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296 | </body> |
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297 | </html> |
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