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<div class="title">iterative-custom.cpp</div> </div>
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<a href="iterative-custom_8cpp.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="comment">/* =========================================================================</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> TU Wien.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> -----------------</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> ViennaCL - The Vienna Computing Library</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"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</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"> (A list of authors and contributors can be found in the PDF manual)</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">============================================================================= */</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">//</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// include necessary system headers</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">//</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include <iostream></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">//</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// ViennaCL includes</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">//</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="scalar_8hpp.html">viennacl/scalar.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="vector_8hpp.html">viennacl/vector.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="compressed__matrix_8hpp.html">viennacl/compressed_matrix.hpp</a>"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="jacobi__precond_8hpp.html">viennacl/linalg/jacobi_precond.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include "<a class="code" href="bicgstab_8hpp.html">viennacl/linalg/bicgstab.hpp</a>"</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include "<a class="code" href="gmres_8hpp.html">viennacl/linalg/gmres.hpp</a>"</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include "<a class="code" href="matrix__market_8hpp.html">viennacl/io/matrix_market.hpp</a>"</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">struct </span>monitor_user_data</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  monitor_user_data(MatrixT <span class="keyword">const</span> & A, VectorT <span class="keyword">const</span> & b, VectorT <span class="keyword">const</span> & guess) : A_ptr(&A), b_ptr(&b), guess_ptr(&guess) {}</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  MatrixT <span class="keyword">const</span> *A_ptr;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  VectorT <span class="keyword">const</span> *b_ptr;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  VectorT <span class="keyword">const</span> *guess_ptr;</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> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keywordtype">bool</span> my_custom_monitor(VectorT <span class="keyword">const</span> & current_approx, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> residual_estimate, <span class="keywordtype">void</span> *user_data)</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="comment">// Extract residual:</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  monitor_user_data<MatrixT, VectorT> <span class="keyword">const</span> *data = <span class="keyword">reinterpret_cast<</span>monitor_user_data<MatrixT, VectorT> const*<span class="keyword">></span>(user_data);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// Form residual r = b - A*x, taking an initial guess into account: r = b - A * (current_approx + x_initial)</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  VectorT x = current_approx + *data->guess_ptr;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  VectorT residual = *data->b_ptr - <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(*data->A_ptr, x);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  VectorT initial_residual = *data->b_ptr - <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(*data->A_ptr, *data->guess_ptr);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  std::cout << <span class="stringliteral">"Residual estimate vs. true residual: "</span> << residual_estimate << <span class="stringliteral">" vs. "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual) / <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(initial_residual) << std::endl;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>; <span class="comment">// no termination of iteration</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> }</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> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  std::vector<std::map<unsigned int, ScalarType> > stl_A;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceviennacl_1_1io.html#ad934125ed3dbe661e264bcd7d62b1048">viennacl::io::read_matrix_market_file</a>(stl_A, <span class="stringliteral">"../examples/testdata/mat65k.mtx"</span>))</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  {</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  std::cout << <span class="stringliteral">"Error reading Matrix file"</span> << std::endl;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  }</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<ScalarType></a> A;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(stl_A, A);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> ref_result = <a class="code" href="structviennacl_1_1scalar__vector.html">viennacl::scalar_vector<ScalarType></a>(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>(), <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(1.0));</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> result(A.<a class="code" href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">size2</a>());</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> b = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(A, ref_result);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> init_guess = <a class="code" href="structviennacl_1_1scalar__vector.html">viennacl::scalar_vector<ScalarType></a>(ref_result.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>(), <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>(0.9));</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  init_guess[0] = 0;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  monitor_user_data<viennacl::compressed_matrix<ScalarType>, <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a> > my_monitor_data(A, b, init_guess);</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> </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="classviennacl_1_1linalg_1_1jacobi__precond.html">viennacl::linalg::jacobi_precond< viennacl::compressed_matrix<ScalarType></a> > jacobi(A, <a class="code" href="classviennacl_1_1linalg_1_1jacobi__tag.html">viennacl::linalg::jacobi_tag</a>());</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  std::cout << <span class="stringliteral">"----- CG Method -----"</span> << std::endl;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a> my_cg_tag(1e-5, 20);</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html">viennacl::linalg::cg_solver<viennacl::vector<ScalarType></a> > my_cg_solver(my_cg_tag);</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  my_cg_solver.set_monitor(my_custom_monitor<<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a>, ScalarType, <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<ScalarType></a> >, &my_monitor_data);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  my_cg_solver.set_initial_guess(init_guess);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  my_cg_solver(A, b); <span class="comment">// without preconditioner</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  std::cout << <span class="stringliteral">"----- BiCGStab Method -----"</span> << std::endl;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a> my_bicgstab_tag(1e-5, 20);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html">viennacl::linalg::bicgstab_solver<viennacl::vector<ScalarType></a> > my_bicgstab_solver(my_bicgstab_tag);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  my_bicgstab_solver.set_monitor(my_custom_monitor<<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a>, ScalarType, <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<ScalarType></a> >, &my_monitor_data);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  my_bicgstab_solver.set_initial_guess(init_guess);</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  my_bicgstab_solver(A, b, jacobi); <span class="comment">// with Jacobi preconditioner</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  std::cout << <span class="stringliteral">"----- GMRES Method -----"</span> << std::endl;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a> my_gmres_tag(1e-5, 30, 10);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <a class="code" href="classviennacl_1_1linalg_1_1gmres__solver.html">viennacl::linalg::gmres_solver<viennacl::vector<ScalarType></a> > my_gmres_solver(my_gmres_tag);</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>  my_gmres_solver.set_monitor(my_custom_monitor<<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<ScalarType></a>, ScalarType, <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<ScalarType></a> >, &my_monitor_data);</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  my_gmres_solver.set_initial_guess(init_guess);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  my_gmres_solver(A, b);</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</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> EXIT_SUCCESS;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> }</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> </div>
<div class="ttc" id="classviennacl_1_1compressed__matrix_html_a4fc12fc4abfef4a1426575a2d73f18ab"><div class="ttname"><a href="classviennacl_1_1compressed__matrix.html#a4fc12fc4abfef4a1426575a2d73f18ab">viennacl::compressed_matrix::size2</a></div><div class="ttdeci">const vcl_size_t & size2() const </div><div class="ttdoc">Returns the number of columns. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00929">compressed_matrix.hpp:929</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ae46f15d01c01f92a153b3f555a15096b"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a></div><div class="ttdeci">T norm_2(std::vector< T, A > const &v1)</div><div class="ttdef"><b>Definition:</b> <a href="norm__2_8hpp_source.html#l00096">norm_2.hpp:96</a></div></div>
<div class="ttc" id="matrix__market_8hpp_html"><div class="ttname"><a href="matrix__market_8hpp.html">matrix_market.hpp</a></div><div class="ttdoc">A reader and writer for the matrix market format is implemented here. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1jacobi__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1jacobi__precond.html">viennacl::linalg::jacobi_precond</a></div><div class="ttdoc">Jacobi preconditioner class, can be supplied to solve()-routines. Generic version for non-ViennaCL ma...</div><div class="ttdef"><b>Definition:</b> <a href="jacobi__precond_8hpp_source.html#l00050">jacobi_precond.hpp:50</a></div></div>
<div class="ttc" id="prod_8hpp_html"><div class="ttname"><a href="prod_8hpp.html">prod.hpp</a></div><div class="ttdoc">Generic interface for matrix-vector and matrix-matrix products. See viennacl/linalg/vector_operations...</div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00091">bisect.cpp:91</a></div></div>
<div class="ttc" id="bicgstab_8hpp_html"><div class="ttname"><a href="bicgstab_8hpp.html">bicgstab.hpp</a></div><div class="ttdoc">The stabilized bi-conjugate gradient method is implemented here. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__solver_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html">viennacl::linalg::cg_solver</a></div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00380">cg.hpp:380</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__solver_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html">viennacl::linalg::bicgstab_solver</a></div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00538">bicgstab.hpp:538</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1jacobi__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1jacobi__tag.html">viennacl::linalg::jacobi_tag</a></div><div class="ttdoc">A tag for a jacobi preconditioner. </div><div class="ttdef"><b>Definition:</b> <a href="jacobi__precond_8hpp_source.html#l00043">jacobi_precond.hpp:43</a></div></div>
<div class="ttc" id="jacobi__precond_8hpp_html"><div class="ttname"><a href="jacobi__precond_8hpp.html">jacobi_precond.hpp</a></div><div class="ttdoc">Implementation of a simple Jacobi preconditioner. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1gmres__solver_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1gmres__solver.html">viennacl::linalg::gmres_solver</a></div><div class="ttdef"><b>Definition:</b> <a href="gmres_8hpp_source.html#l00678">gmres.hpp:678</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1gmres__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a></div><div class="ttdoc">A tag for the solver GMRES. Used for supplying solver parameters and for dispatching the solve() func...</div><div class="ttdef"><b>Definition:</b> <a href="gmres_8hpp_source.html#l00049">gmres.hpp:49</a></div></div>
<div class="ttc" id="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</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="gmres_8hpp_html"><div class="ttname"><a href="gmres_8hpp.html">gmres.hpp</a></div><div class="ttdoc">Implementations of the generalized minimum residual method are in this file. </div></div>
<div class="ttc" id="compressed__matrix_8hpp_html"><div class="ttname"><a href="compressed__matrix_8hpp.html">compressed_matrix.hpp</a></div><div class="ttdoc">Implementation of the compressed_matrix class. </div></div>
<div class="ttc" id="cg_8hpp_html"><div class="ttname"><a href="cg_8hpp.html">cg.hpp</a></div><div class="ttdoc">The conjugate gradient method is implemented here. </div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< ScalarType ></a></div></div>
<div class="ttc" id="vector_8hpp_html"><div class="ttname"><a href="vector_8hpp.html">vector.hpp</a></div><div class="ttdoc">The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...</div></div>
<div class="ttc" id="structviennacl_1_1scalar__vector_html"><div class="ttname"><a href="structviennacl_1_1scalar__vector.html">viennacl::scalar_vector</a></div><div class="ttdoc">Represents a vector consisting of scalars 's' only, i.e. v[i] = s for all i. To be used as an initial...</div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00087">vector_def.hpp:87</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a10b7f8cf6b8864a7aa196d670481a453"><div class="ttname"><a href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a></div><div class="ttdeci">void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)</div><div class="ttdoc">Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...</div><div class="ttdef"><b>Definition:</b> <a href="circulant__matrix_8hpp_source.html#l00150">circulant_matrix.hpp:150</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a15c47ae4326098aeaa4ed6b91fc6df9b"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">viennacl::vector_base::size</a></div><div class="ttdeci">size_type size() const </div><div class="ttdoc">Returns the length of the vector (cf. std::vector) </div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00118">vector_def.hpp:118</a></div></div>
<div class="ttc" id="fft__1d_8cpp_html_ad5c19ca4f47d3f8ec21232a5af2624e5"><div class="ttname"><a href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a></div><div class="ttdeci">float ScalarType</div><div class="ttdef"><b>Definition:</b> <a href="fft__1d_8cpp_source.html#l00042">fft_1d.cpp:42</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a></div><div class="ttdoc">A tag for the conjugate gradient Used for supplying solver parameters and for dispatching the solve()...</div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00048">cg.hpp:48</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</a></div><div class="ttdoc">A sparse square matrix in compressed sparse rows format. </div><div class="ttdef"><b>Definition:</b> <a href="compressed__matrix_8hpp_source.html#l00559">compressed_matrix.hpp:559</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a></div><div class="ttdoc">A tag for the stabilized Bi-conjugate gradient solver. Used for supplying solver parameters and for d...</div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00047">bicgstab.hpp:47</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1io_html_ad934125ed3dbe661e264bcd7d62b1048"><div class="ttname"><a href="namespaceviennacl_1_1io.html#ad934125ed3dbe661e264bcd7d62b1048">viennacl::io::read_matrix_market_file</a></div><div class="ttdeci">long read_matrix_market_file(MatrixT &mat, const char *file, long index_base=1)</div><div class="ttdoc">Reads a sparse matrix from a file (MatrixMarket format) </div><div class="ttdef"><b>Definition:</b> <a href="matrix__market_8hpp_source.html#l00339">matrix_market.hpp:339</a></div></div>
<div class="ttc" id="scalar_8hpp_html"><div class="ttname"><a href="scalar_8hpp.html">scalar.hpp</a></div><div class="ttdoc">Implementation of the ViennaCL scalar class. </div></div>
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