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<div class="title">prod.hpp</div> </div>
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<a href="prod_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="preprocessor">#ifndef VIENNACL_LINALG_PROD_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_PROD_HPP_</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> </div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"></span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> (A list of authors and contributors can be found in the manual)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="enable__if_8hpp.html">viennacl/meta/enable_if.hpp</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="tag__of_8hpp.html">viennacl/meta/tag_of.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include <map></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// generic prod function</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="comment">// uses tag dispatch to identify which algorithm</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="comment">// should be called</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor"> #ifdef VIENNACL_WITH_MTL4</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="comment">// ----------------------------------------------------</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// mtl4</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT ></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1enable__if.html">viennacl::enable_if< viennacl::is_mtl4< typename viennacl::traits::tag_of< MatrixT >::type</a> >::value,</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  VectorT>::type</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(MatrixT <span class="keyword">const</span>& matrix, VectorT <span class="keyword">const</span>& vector)</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">return</span> VectorT(matrix * vector);</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor"> #ifdef VIENNACL_WITH_ARMADILLO</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// ----------------------------------------------------</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// Armadillo</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  VectorT <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(arma::SpMat<NumericT> <span class="keyword">const</span>& A, VectorT <span class="keyword">const</span>& vector)</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">return</span> A * vector;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="preprocessor"> #ifdef VIENNACL_WITH_EIGEN</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="comment">// ----------------------------------------------------</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// Eigen</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT ></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1enable__if.html">viennacl::enable_if< viennacl::is_eigen< typename viennacl::traits::tag_of< MatrixT >::type</a> >::value,</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  VectorT>::type</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(MatrixT <span class="keyword">const</span>& matrix, VectorT <span class="keyword">const</span>& vector)</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">return</span> matrix * vector;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="preprocessor"> #ifdef VIENNACL_WITH_UBLAS</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// ----------------------------------------------------</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="comment">// UBLAS</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT ></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1enable__if.html">viennacl::enable_if< viennacl::is_ublas< typename viennacl::traits::tag_of< MatrixT >::type</a> >::value,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  VectorT>::type</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(MatrixT <span class="keyword">const</span>& matrix, VectorT <span class="keyword">const</span>& vector)</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  {</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// std::cout << "ublas .. " << std::endl;</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">return</span> <a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">boost::numeric::ublas::prod</a>(matrix, vector);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  }</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="preprocessor"> #endif</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// ----------------------------------------------------</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">// STL type</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// dense matrix-vector product:</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> T, <span class="keyword">typename</span> A1, <span class="keyword">typename</span> A2, <span class="keyword">typename</span> VectorT ></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  VectorT</div>
<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef"> 102</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(std::vector< std::vector<T, A1>, A2 > <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1matrix.html">matrix</a>, VectorT <span class="keyword">const</span>& <a class="code" href="classviennacl_1_1vector.html">vector</a>)</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  VectorT result(<a class="code" href="classviennacl_1_1matrix.html">matrix</a>.size());</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> std::vector<T, A1>::size_type i=0; i<<a class="code" href="classviennacl_1_1matrix.html">matrix</a>.size(); ++i)</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  result[i] = 0; <span class="comment">//we will not assume that VectorT is initialized to zero</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> std::vector<T, A1>::size_type j=0; j<<a class="code" href="classviennacl_1_1matrix.html">matrix</a>[i].size(); ++j)</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  result[i] += <a class="code" href="classviennacl_1_1matrix.html">matrix</a>[i][j] * vector[j];</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// sparse matrix-vector product:</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> KEY, <span class="keyword">typename</span> DATA, <span class="keyword">typename</span> COMPARE, <span class="keyword">typename</span> AMAP, <span class="keyword">typename</span> AVEC, <span class="keyword">typename</span> VectorT ></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  VectorT</div>
<div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a4a8191b8e2833645bf9a50cf0385bf84"> 117</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(std::vector< std::map<KEY, DATA, COMPARE, AMAP>, AVEC > <span class="keyword">const</span>& <a class="code" href="classviennacl_1_1matrix.html">matrix</a>, VectorT <span class="keyword">const</span>& <a class="code" href="classviennacl_1_1vector.html">vector</a>)</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keyword">typedef</span> std::vector< std::map<KEY, DATA, COMPARE, AMAP>, AVEC > MatrixType;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  VectorT result(<a class="code" href="classviennacl_1_1matrix.html">matrix</a>.size());</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> MatrixType::size_type i=0; i<<a class="code" href="classviennacl_1_1matrix.html">matrix</a>.size(); ++i)</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  result[i] = 0; <span class="comment">//we will not assume that VectorT is initialized to zero</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> std::map<KEY, DATA, COMPARE, AMAP>::const_iterator row_entries = <a class="code" href="classviennacl_1_1matrix.html">matrix</a>[i].begin();</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  row_entries != <a class="code" href="classviennacl_1_1matrix.html">matrix</a>[i].end();</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  ++row_entries)</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  result[i] += row_entries->second * vector[row_entries->first];</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  }</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">/*template< typename MatrixT, typename VectorT ></span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"> VectorT</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment"> prod(MatrixT const& matrix, VectorT const& vector,</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment"> typename viennacl::enable_if< viennacl::is_stl< typename viennacl::traits::tag_of< MatrixT >::type >::value</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="comment"> >::type* dummy = 0)</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment"> {</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment"> // std::cout << "std .. " << std::endl;</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> return prod_impl(matrix, vector);</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> }*/</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="comment">// ----------------------------------------------------</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// VIENNACL</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="comment">// standard product:</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> ></div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a9dbf28b182155a8036335d473bf5fa67"> 153</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a> <span class="keyword">const</span> & B)</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  {</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> >(A, B);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="comment">// right factor is a matrix expression:</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> LhsT, <span class="keyword">typename</span> RhsT, <span class="keyword">typename</span> OpT></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> ></div>
<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a5214077835c189277d6eca907530c673"> 166</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT, const RhsT, OpT></a> <span class="keyword">const</span> & B)</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  {</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> >(A, B);</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="comment">// left factor is a matrix expression:</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">template</span><<span class="keyword">typename</span> LhsT, <span class="keyword">typename</span> RhsT, <span class="keyword">typename</span> OpT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> ></div>
<div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#acf365675ae14ac0ed16d1f0b065be399"> 179</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT, const RhsT, OpT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a> <span class="keyword">const</span> & B)</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  {</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> >(A, B);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="comment">// both factors transposed:</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">template</span><<span class="keyword">typename</span> LhsT1, <span class="keyword">typename</span> RhsT1, <span class="keyword">typename</span> OpT1,</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keyword">typename</span> LhsT2, <span class="keyword">typename</span> RhsT2, <span class="keyword">typename</span> OpT2></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_expression<const LhsT1, const RhsT1, OpT1></a>,</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT2, const RhsT2, OpT2></a>,</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> ></div>
<div class="line"><a name="l00194"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a02c5997b7fae26a1abfcd0d4d9fe630b"> 194</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT1, const RhsT1, OpT1></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT2, const RhsT2, OpT2></a> <span class="keyword">const</span> & B)</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  {</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression< const viennacl::matrix_expression<const LhsT1, const RhsT1, OpT1></a>,</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT2, const RhsT2, OpT2></a>,</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a> >(A, B);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// matrix-vector product</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00209"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a7edeb4f4249dd1b38b4dbc33b0d2c30f"> 209</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x)</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  {</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, x);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  }</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="comment">// matrix-vector product (resolve ambiguity)</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> F></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ad411899e5dba6c80530c432eb9ff14a9"> 222</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix.html">viennacl::matrix<NumericT, F></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x)</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  {</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, x);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  }</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="comment">// matrix-vector product (resolve ambiguity)</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00235"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#adb9bd2539edadb395c980ac9deeb97e0"> 235</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__range.html">viennacl::matrix_range<MatrixT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x)</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  {</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, x);</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  }</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="comment">// matrix-vector product (resolve ambiguity)</span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#aa0e1429628379a8912c4e580d03c8c72"> 248</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__slice.html">viennacl::matrix_slice<MatrixT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x)</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  {</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, x);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  }</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">// matrix-vector product with matrix expression (including transpose)</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> LhsT, <span class="keyword">typename</span> RhsT, <span class="keyword">typename</span> OpT></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00261"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a960045016584f346ad635d81be790619"> 261</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT, const RhsT, OpT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & x)</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  {</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a>,</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, x);</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  }</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="comment">// matrix-vector product with vector expression</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> LhsT, <span class="keyword">typename</span> RhsT, <span class="keyword">typename</span> OpT></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a2d9a28b9f21ece1b0d1d25b3c5760678"> 275</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression<const LhsT, const RhsT, OpT></a> <span class="keyword">const</span> & x)</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  {</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_base<NumericT></a>,</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression<const LhsT, const RhsT, OpT></a>,</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, x);</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// matrix-vector product with matrix expression (including transpose) and vector expression</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keyword">template</span><<span class="keyword">typename</span> LhsT1, <span class="keyword">typename</span> RhsT1, <span class="keyword">typename</span> OpT1,</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keyword">typename</span> LhsT2, <span class="keyword">typename</span> RhsT2, <span class="keyword">typename</span> OpT2></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_expression<const LhsT1, const RhsT1, OpT1></a>,</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression<const LhsT2, const RhsT2, OpT2></a>,</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00290"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ae98b74abb405df7fa2184e27f0fd9b62"> 290</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const LhsT1, const RhsT1, OpT1></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression<const LhsT2, const RhsT2, OpT2></a> <span class="keyword">const</span> & x)</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  {</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression< const viennacl::matrix_expression<const LhsT1, const RhsT1, OpT1></a>,</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__expression.html">viennacl::vector_expression<const LhsT2, const RhsT2, OpT2></a>,</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, x);</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  }</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> SparseMatrixType, <span class="keyword">typename</span> SCALARTYPE></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1enable__if.html">viennacl::enable_if< viennacl::is_any_sparse_matrix<SparseMatrixType>::value</a>,</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression</a><<span class="keyword">const</span> SparseMatrixType,</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">matrix_base <SCALARTYPE></a>,</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <a class="code" href="structviennacl_1_1op__prod.html">op_prod</a> ></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  >::type</div>
<div class="line"><a name="l00307"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a3bba0146e669e012bb7c7380ce780a25"> 307</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<span class="keyword">const</span> SparseMatrixType & sp_mat,</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<SCALARTYPE></a> & d_mat)</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  {</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression</a><<span class="keyword">const</span> SparseMatrixType,</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<SCALARTYPE></a>,</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <a class="code" href="structviennacl_1_1op__prod.html">op_prod</a> >(sp_mat, d_mat);</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  }</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="comment">// right factor is transposed</span></div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> SparseMatrixType, <span class="keyword">typename</span> SCALARTYPE></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1enable__if.html">viennacl::enable_if< viennacl::is_any_sparse_matrix<SparseMatrixType>::value</a>,</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression</a>< <span class="keyword">const</span> SparseMatrixType,</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const viennacl::matrix_base<SCALARTYPE></a>,</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<SCALARTYPE></a>,</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <a class="code" href="structviennacl_1_1op__trans.html">op_trans</a>>,</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> ></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  >::type</div>
<div class="line"><a name="l00324"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ae2f953a28fd0726963616efc7c6502be"> 324</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<span class="keyword">const</span> SparseMatrixType & A,</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression</a><<span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<SCALARTYPE></a>,</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<SCALARTYPE></a>,</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <a class="code" href="structviennacl_1_1op__trans.html">op_trans</a>> <span class="keyword">const</span> & B)</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  {</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression</a>< <span class="keyword">const</span> SparseMatrixType,</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const viennacl::matrix_base<SCALARTYPE></a>,</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1matrix__base.html">viennacl::matrix_base<SCALARTYPE></a>,</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <a class="code" href="structviennacl_1_1op__trans.html">op_trans</a>>,</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="code" href="structviennacl_1_1op__prod.html">viennacl::op_prod</a> >(A, B);</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  }</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const compressed_matrix<NumericT></a>,</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a>,</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <a class="code" href="structviennacl_1_1op__prod.html">op_prod</a> ></div>
<div class="line"><a name="l00342"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a481c6668b16471330cbb8dc667ea777d"> 342</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a> <span class="keyword">const</span> & B)</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  {</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression<const compressed_matrix<NumericT></a>,</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1compressed__matrix.html">compressed_matrix<NumericT></a>,</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <a class="code" href="structviennacl_1_1op__prod.html">op_prod</a> >(A, B);</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  }</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> </div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keyword">template</span><<span class="keyword">typename</span> SparseMatrixType, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <a class="code" href="classviennacl_1_1vector__expression.html">vector_expression</a><<span class="keyword">const</span> SparseMatrixType,</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">vector_base<NumericT></a>,</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <a class="code" href="structviennacl_1_1op__prod.html">op_prod</a> ></div>
<div class="line"><a name="l00355"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a77f5c8c3c3de21c082ccf1db28cf5189"> 355</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">prod</a>(<span class="keyword">const</span> SparseMatrixType & A,</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">vector_base<NumericT></a> & x)</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  {</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1vector__expression.html">vector_expression</a><<span class="keyword">const</span> SparseMatrixType,</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keyword">const</span> <a class="code" href="classviennacl_1_1vector__base.html">vector_base<NumericT></a>,</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <a class="code" href="structviennacl_1_1op__prod.html">op_prod</a> >(A, x);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  }</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  } <span class="comment">// end namespace linalg</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> } <span class="comment">// end namespace viennacl</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> </div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> </div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> </div>
<div class="ttc" id="structviennacl_1_1enable__if_html"><div class="ttname"><a href="structviennacl_1_1enable__if.html">viennacl::enable_if</a></div><div class="ttdoc">Simple enable-if variant that uses the SFINAE pattern. </div><div class="ttdef"><b>Definition:</b> <a href="enable__if_8hpp_source.html#l00030">enable_if.hpp:30</a></div></div>
<div class="ttc" id="tag__of_8hpp_html"><div class="ttname"><a href="tag__of_8hpp.html">tag_of.hpp</a></div><div class="ttdoc">Dispatch facility for distinguishing between ublas, STL and ViennaCL types. </div></div>
<div class="ttc" id="classviennacl_1_1matrix__slice_html"><div class="ttname"><a href="classviennacl_1_1matrix__slice.html">viennacl::matrix_slice</a></div><div class="ttdoc">Class for representing strided submatrices of a bigger matrix A. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00443">forwards.h:443</a></div></div>
<div class="ttc" id="tools_8hpp_html"><div class="ttname"><a href="tools_8hpp.html">tools.hpp</a></div><div class="ttdoc">Various little tools used here and there in ViennaCL. </div></div>
<div class="ttc" id="classviennacl_1_1matrix__base_html"><div class="ttname"><a href="classviennacl_1_1matrix__base.html">viennacl::matrix_base< NumericT ></a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__expression_html"><div class="ttname"><a href="classviennacl_1_1matrix__expression.html">viennacl::matrix_expression</a></div><div class="ttdoc">Expression template class for representing a tree of expressions which ultimately result in a matrix...</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00341">forwards.h:341</a></div></div>
<div class="ttc" id="forwards_8h_html"><div class="ttname"><a href="forwards_8h.html">forwards.h</a></div><div class="ttdoc">This file provides the forward declarations for the main types used within ViennaCL. </div></div>
<div class="ttc" id="classviennacl_1_1matrix_html"><div class="ttname"><a href="classviennacl_1_1matrix.html">viennacl::matrix</a></div><div class="ttdoc">A dense matrix class. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00375">forwards.h:375</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__expression_html"><div class="ttname"><a href="classviennacl_1_1vector__expression.html">viennacl::vector_expression</a></div><div class="ttdoc">An expression template class that represents a binary operation that yields a vector. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00239">forwards.h:239</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_aa18d10f8a90e38bd9ff43c650fc670ef"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a></div><div class="ttdeci">VectorT prod(std::vector< std::vector< T, A1 >, A2 > const &matrix, VectorT const &vector)</div><div class="ttdef"><b>Definition:</b> <a href="prod_8hpp_source.html#l00102">prod.hpp:102</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html"><div class="ttname"><a href="classviennacl_1_1vector__base.html">viennacl::vector_base< NumericT ></a></div></div>
<div class="ttc" id="structviennacl_1_1op__mat__mat__prod_html"><div class="ttname"><a href="structviennacl_1_1op__mat__mat__prod.html">viennacl::op_mat_mat_prod</a></div><div class="ttdoc">A tag class representing matrix-matrix products. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00096">forwards.h:96</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector</a></div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00266">forwards.h:266</a></div></div>
<div class="ttc" id="structviennacl_1_1op__prod_html"><div class="ttname"><a href="structviennacl_1_1op__prod.html">viennacl::op_prod</a></div><div class="ttdoc">A tag class representing matrix-vector products and element-wise multiplications. ...</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00094">forwards.h:94</a></div></div>
<div class="ttc" id="sparse__prod_8cpp_html_a2c8637b3d6a972d1d8fd85fb3089c6da"><div class="ttname"><a href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a></div><div class="ttdeci">void prod(std::vector< std::map< IndexT, NumericT > > const &stl_A, std::vector< std::map< IndexT, NumericT > > const &stl_B, std::vector< std::map< IndexT, NumericT > > &stl_C)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__prod_8cpp_source.html#l00114">sparse_prod.cpp:114</a></div></div>
<div class="ttc" id="structviennacl_1_1op__trans_html"><div class="ttname"><a href="structviennacl_1_1op__trans.html">viennacl::op_trans</a></div><div class="ttdoc">A tag class representing transposed matrices. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00220">forwards.h:220</a></div></div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix< NumericT ></a></div></div>
<div class="ttc" id="classviennacl_1_1matrix__range_html"><div class="ttname"><a href="classviennacl_1_1matrix__range.html">viennacl::matrix_range</a></div><div class="ttdoc">Class for representing non-strided submatrices of a bigger matrix A. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00440">forwards.h:440</a></div></div>
<div class="ttc" id="enable__if_8hpp_html"><div class="ttname"><a href="enable__if_8hpp.html">enable_if.hpp</a></div><div class="ttdoc">Simple enable-if variant that uses the SFINAE pattern. </div></div>
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