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<div class="title">power_iter.hpp</div> </div>
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<a href="power__iter_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_POWER_ITER_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_POWER_ITER_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 <cmath></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="bisect_8hpp.html">viennacl/linalg/bisect.hpp</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="norm__2_8hpp.html">viennacl/linalg/norm_2.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  {</div>
<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1power__iter__tag.html"> 38</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html">power_iter_tag</a></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1power__iter__tag.html#af75af4cbe75d54d797ce1cc3907d7741"> 47</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html#af75af4cbe75d54d797ce1cc3907d7741">power_iter_tag</a>(<span class="keywordtype">double</span> tfac = 1e-8, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> max_iters = 50000) : termination_factor_(tfac), max_iterations_(max_iters) {}</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a2940a548e8543936ffdd93170ab8b8ce"> 50</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a2940a548e8543936ffdd93170ab8b8ce">factor</a>(<span class="keywordtype">double</span> fct){ termination_factor_ = fct; }</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a829b376442fbba41a3a7398a32f69b67"> 53</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a829b376442fbba41a3a7398a32f69b67">factor</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> termination_factor_; }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a79f4ba9e23ebb8692badacdfd32d246e"> 55</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a79f4ba9e23ebb8692badacdfd32d246e">max_iterations</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> max_iterations_; }</div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1power__iter__tag.html#ade62a68b85d3187a7470345f46a710ab"> 56</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html#ade62a68b85d3187a7470345f46a710ab">max_iterations</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> new_max) { max_iterations_ = new_max; }</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">double</span> termination_factor_;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> max_iterations_;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </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="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT ></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1result__of_1_1cpu__value__type.html#aa015d93f419985879a7c13b09633c5c6">viennacl::result_of::cpu_value_type<typename MatrixT::value_type>::type</a></div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#ad54e2b8a6ab1f2105fcbb8e3db7af0cf"> 74</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#af5002a88fa4cc3fbe65a904797a0ecba">eig</a>(MatrixT <span class="keyword">const</span>& A, <a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html">power_iter_tag</a> <span class="keyword">const</span> & tag, VectorT & eigenvec)</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> </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1result__of_1_1value__type.html#a1fccdddb6d57eaba8f19506cea2051a3">viennacl::result_of::value_type<MatrixT>::type</a> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1result__of_1_1cpu__value__type.html#aa015d93f419985879a7c13b09633c5c6">viennacl::result_of::cpu_value_type<ScalarType>::type</a> CPU_ScalarType;</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>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> matrix_size = A.size1();</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  VectorT r(eigenvec);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  std::vector<CPU_ScalarType> s(matrix_size);</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>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=0; i<s.size(); ++i)</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  s[i] = CPU_ScalarType(i % 3) * CPU_ScalarType(0.1234) - CPU_ScalarType(0.5); <span class="comment">//'random' starting vector</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a182fc6f710cc79252cebd332b480fe27">detail::copy_vec_to_vec</a>(s, eigenvec);</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="keywordtype">double</span> epsilon = tag.<a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a2940a548e8543936ffdd93170ab8b8ce">factor</a>();</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  CPU_ScalarType norm = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(eigenvec);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  CPU_ScalarType norm_prev = 0;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordtype">long</span> numiter = 0;</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>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i=0; i<tag.<a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html#a79f4ba9e23ebb8692badacdfd32d246e">max_iterations</a>(); ++i)</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="keywordflow">if</span> (std::fabs(norm - norm_prev) / std::fabs(norm) < epsilon)</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">break</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>  eigenvec /= norm;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  r = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(A, eigenvec); <span class="comment">//using helper vector r for the computation of x <- A * x in order to avoid the repeated creation of temporaries</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  eigenvec = r;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  norm_prev = norm;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  norm = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(eigenvec);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  numiter++;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  }</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>  <span class="keywordflow">return</span> norm;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">template</span>< <span class="keyword">typename</span> MatrixT ></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1result__of_1_1cpu__value__type.html#aa015d93f419985879a7c13b09633c5c6">viennacl::result_of::cpu_value_type<typename MatrixT::value_type>::type</a></div>
<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#aa83ef1714ec827c54aeea62f6ccfb0f7"> 119</a></span>  <a class="code" href="namespaceviennacl_1_1linalg.html#af5002a88fa4cc3fbe65a904797a0ecba">eig</a>(MatrixT <span class="keyword">const</span>& A, <a class="code" href="classviennacl_1_1linalg_1_1power__iter__tag.html">power_iter_tag</a> <span class="keyword">const</span> & tag)</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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> viennacl::result_of::vector_for_matrix<MatrixT>::type VectorT;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  VectorT eigenvec(A.size1());</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg.html#af5002a88fa4cc3fbe65a904797a0ecba">eig</a>(A, tag, eigenvec);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  }</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  } <span class="comment">// end namespace linalg</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> } <span class="comment">// end namespace viennacl</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="preprocessor">#endif</span></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="namespaceviennacl_1_1linalg_html_af5002a88fa4cc3fbe65a904797a0ecba"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#af5002a88fa4cc3fbe65a904797a0ecba">viennacl::linalg::eig</a></div><div class="ttdeci">std::vector< typename viennacl::result_of::cpu_value_type< typename MatrixT::value_type >::type > eig(MatrixT const &matrix, DenseMatrixT &eigenvectors_A, lanczos_tag const &tag, bool compute_eigenvectors=true)</div><div class="ttdoc">Implementation of the calculation of eigenvalues using lanczos (with and without reorthogonalization)...</div><div class="ttdef"><b>Definition:</b> <a href="lanczos_8hpp_source.html#l00452">lanczos.hpp:452</a></div></div>
<div class="ttc" id="norm__2_8hpp_html"><div class="ttname"><a href="norm__2_8hpp.html">norm_2.hpp</a></div><div class="ttdoc">Generic interface for the l^2-norm. See viennacl/linalg/vector_operations.hpp for implementations...</div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1power__iter__tag_html_af75af4cbe75d54d797ce1cc3907d7741"><div class="ttname"><a href="classviennacl_1_1linalg_1_1power__iter__tag.html#af75af4cbe75d54d797ce1cc3907d7741">viennacl::linalg::power_iter_tag::power_iter_tag</a></div><div class="ttdeci">power_iter_tag(double tfac=1e-8, vcl_size_t max_iters=50000)</div><div class="ttdoc">The constructor. </div><div class="ttdef"><b>Definition:</b> <a href="power__iter_8hpp_source.html#l00047">power_iter.hpp:47</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="classviennacl_1_1linalg_1_1power__iter__tag_html_a2940a548e8543936ffdd93170ab8b8ce"><div class="ttname"><a href="classviennacl_1_1linalg_1_1power__iter__tag.html#a2940a548e8543936ffdd93170ab8b8ce">viennacl::linalg::power_iter_tag::factor</a></div><div class="ttdeci">void factor(double fct)</div><div class="ttdoc">Sets the factor for termination. </div><div class="ttdef"><b>Definition:</b> <a href="power__iter_8hpp_source.html#l00050">power_iter.hpp:50</a></div></div>
<div class="ttc" id="structviennacl_1_1result__of_1_1value__type_html_a1fccdddb6d57eaba8f19506cea2051a3"><div class="ttname"><a href="structviennacl_1_1result__of_1_1value__type.html#a1fccdddb6d57eaba8f19506cea2051a3">viennacl::result_of::value_type::type</a></div><div class="ttdeci">T::value_type type</div><div class="ttdef"><b>Definition:</b> <a href="result__of_8hpp_source.html#l00213">result_of.hpp:213</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1power__iter__tag_html_a829b376442fbba41a3a7398a32f69b67"><div class="ttname"><a href="classviennacl_1_1linalg_1_1power__iter__tag.html#a829b376442fbba41a3a7398a32f69b67">viennacl::linalg::power_iter_tag::factor</a></div><div class="ttdeci">double factor() const </div><div class="ttdoc">Returns the factor for termination. </div><div class="ttdef"><b>Definition:</b> <a href="power__iter_8hpp_source.html#l00053">power_iter.hpp:53</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1power__iter__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1power__iter__tag.html">viennacl::linalg::power_iter_tag</a></div><div class="ttdoc">A tag for the power iteration algorithm. </div><div class="ttdef"><b>Definition:</b> <a href="power__iter_8hpp_source.html#l00038">power_iter.hpp:38</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1power__iter__tag_html_a79f4ba9e23ebb8692badacdfd32d246e"><div class="ttname"><a href="classviennacl_1_1linalg_1_1power__iter__tag.html#a79f4ba9e23ebb8692badacdfd32d246e">viennacl::linalg::power_iter_tag::max_iterations</a></div><div class="ttdeci">vcl_size_t max_iterations() const </div><div class="ttdef"><b>Definition:</b> <a href="power__iter_8hpp_source.html#l00055">power_iter.hpp:55</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="namespaceviennacl_1_1linalg_1_1detail_html_a182fc6f710cc79252cebd332b480fe27"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a182fc6f710cc79252cebd332b480fe27">viennacl::linalg::detail::copy_vec_to_vec</a></div><div class="ttdeci">void copy_vec_to_vec(viennacl::vector< NumericT > const &src, OtherVectorT &dest)</div><div class="ttdoc">overloaded function for copying vectors </div><div class="ttdef"><b>Definition:</b> <a href="bisect_8hpp_source.html#l00044">bisect.hpp:44</a></div></div>
<div class="ttc" id="namespaceviennacl_html_a98a0afcc513111ffa0bd138f891930df"><div class="ttname"><a href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">viennacl::vcl_size_t</a></div><div class="ttdeci">std::size_t vcl_size_t</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00075">forwards.h:75</a></div></div>
<div class="ttc" id="structviennacl_1_1result__of_1_1cpu__value__type_html_aa015d93f419985879a7c13b09633c5c6"><div class="ttname"><a href="structviennacl_1_1result__of_1_1cpu__value__type.html#aa015d93f419985879a7c13b09633c5c6">viennacl::result_of::cpu_value_type::type</a></div><div class="ttdeci">T::ERROR_CANNOT_DEDUCE_CPU_SCALAR_TYPE_FOR_T type</div><div class="ttdef"><b>Definition:</b> <a href="result__of_8hpp_source.html#l00271">result_of.hpp:271</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_1power__iter__tag_html_ade62a68b85d3187a7470345f46a710ab"><div class="ttname"><a href="classviennacl_1_1linalg_1_1power__iter__tag.html#ade62a68b85d3187a7470345f46a710ab">viennacl::linalg::power_iter_tag::max_iterations</a></div><div class="ttdeci">void max_iterations(vcl_size_t new_max)</div><div class="ttdef"><b>Definition:</b> <a href="power__iter_8hpp_source.html#l00056">power_iter.hpp:56</a></div></div>
<div class="ttc" id="bisect_8hpp_html"><div class="ttname"><a href="bisect_8hpp.html">bisect.hpp</a></div><div class="ttdoc">Implementation of the algorithm for finding eigenvalues of a tridiagonal matrix. </div></div>
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