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<div class="title">cg.hpp</div> </div>
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<a href="cg_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_CG_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_CG_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="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include <vector></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include <map></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 <numeric></span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="inner__prod_8hpp.html">viennacl/linalg/inner_prod.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</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="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="clear_8hpp.html">viennacl/traits/clear.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="size_8hpp.html">viennacl/traits/size.hpp</a>"</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="result__of_8hpp.html">viennacl/meta/result_of.hpp</a>"</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include "<a class="code" href="iterative__operations_8hpp.html">viennacl/linalg/iterative_operations.hpp</a>"</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">namespace </span>viennacl</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="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html"> 48</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> {</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#a9c13205b31b5b56c8b87c65e4aa09346"> 56</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a9c13205b31b5b56c8b87c65e4aa09346">cg_tag</a>(<span class="keywordtype">double</span> tol = 1e-8, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a97992b7d3aba737062a8034f03f8998a">max_iterations</a> = 300) : tol_(tol), abs_tol_(0), iterations_(<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a97992b7d3aba737062a8034f03f8998a">max_iterations</a>) {}</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#a74f24a9c56185b63a53e06dcb50eb00b"> 59</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a74f24a9c56185b63a53e06dcb50eb00b">tolerance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> tol_; }</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb"> 62</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> abs_tol_; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#aefb50beff8c4b88af1fa7f84f3a87e01"> 64</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#aefb50beff8c4b88af1fa7f84f3a87e01">abs_tolerance</a>(<span class="keywordtype">double</span> new_tol) { <span class="keywordflow">if</span> (new_tol >= 0) abs_tol_ = new_tol; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#a97992b7d3aba737062a8034f03f8998a"> 67</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a97992b7d3aba737062a8034f03f8998a">max_iterations</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> iterations_; }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#a452a19d2f4fefd2f75f37633aad92532"> 70</a></span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a452a19d2f4fefd2f75f37633aad92532">iters</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> iters_taken_; }</div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#a6c307a0e9e23087123d451bbd129775c"> 71</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a6c307a0e9e23087123d451bbd129775c">iters</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i)<span class="keyword"> const </span>{ iters_taken_ = i; }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#a0b0910f5d0f953e2fb3d73d26fda8770"> 74</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a0b0910f5d0f953e2fb3d73d26fda8770">error</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> last_error_; }</div>
<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__tag.html#ac868db8dfe81aacc90bf8b0a340fa1de"> 76</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#ac868db8dfe81aacc90bf8b0a340fa1de">error</a>(<span class="keywordtype">double</span> e)<span class="keyword"> const </span>{ last_error_ = e; }</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> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordtype">double</span> tol_;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordtype">double</span> abs_tol_;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> iterations_;</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="comment">//return values from solver</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">mutable</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> iters_taken_;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">mutable</span> <span class="keywordtype">double</span> last_error_;</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> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">template</span><<span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> PreconditionerT></div>
<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html"> 94</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html">z_handler</a>{</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html#a4f1e812b933794f46e399adf0994b2fe"> 96</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html#a4f1e812b933794f46e399adf0994b2fe">z_handler</a>(VectorT & residual) : z_(residual){ }</div>
<div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html#a423d43c91f4a5ce7f742c71731066d53"> 97</a></span>  VectorT & <span class="keyword">get</span>() { <span class="keywordflow">return</span> z_; }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  VectorT z_;</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  };</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">template</span><<span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00103"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1detail_1_1z__handler_3_01_vector_t_00_01viennacl_1_1linalg_1_1no__precond_01_4.html"> 103</a></span>  <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html">z_handler</a><VectorT, viennacl::<a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">linalg::no_precond</a>>{</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1detail_1_1z__handler_3_01_vector_t_00_01viennacl_1_1linalg_1_1no__precond_01_4.html#ade7761479fd1f711ac3cc67c44625adb"> 105</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1z__handler_3_01_vector_t_00_01viennacl_1_1linalg_1_1no__precond_01_4.html#ade7761479fd1f711ac3cc67c44625adb">z_handler</a>(VectorT & residual) : presidual_(&residual){ }</div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1detail_1_1z__handler_3_01_vector_t_00_01viennacl_1_1linalg_1_1no__precond_01_4.html#aa8e8dbec30afa1ae3de8791ab0011871"> 106</a></span>  VectorT & <span class="keyword">get</span>() { <span class="keywordflow">return</span> *presidual_; }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  VectorT * presidual_;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  };</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> }</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> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="comment">//template<typename MatrixType, typename ScalarType></span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00129"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#ab4a0bd607b8000ff506a399da63dbd75"> 129</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f">pipelined_solve</a>(MatrixT <span class="keyword">const</span> & A, <span class="comment">//MatrixType const & A,</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keywordtype">bool</span> (*monitor)(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> &, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, <span class="keywordtype">void</span>*) = NULL,</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classviennacl_1_1vector.html#a7e683e134c8aad7b3cd057776a58c4c4">viennacl::vector<NumericT>::difference_type</a> difference_type;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> result(rhs);</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a>(result);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> residual(rhs);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> p(rhs);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> Ap = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(A, p);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> inner_prod_buffer = <a class="code" href="structviennacl_1_1zero__vector.html">viennacl::zero_vector<NumericT></a>(3*256, <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(rhs)); <span class="comment">// temporary buffer</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  std::vector<NumericT> host_inner_prod_buffer(inner_prod_buffer.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> buffer_size_per_vector = inner_prod_buffer.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>() / 3;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  difference_type buffer_offset_per_vector = <span class="keyword">static_cast<</span>difference_type<span class="keyword">></span>(buffer_size_per_vector);</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>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> norm_rhs_squared = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual); norm_rhs_squared *= norm_rhs_squared;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> </div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">if</span> (norm_rhs_squared <= tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>() * tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>()) <span class="comment">//check for early convergence of A*x = 0</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordflow">return</span> result;</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>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> inner_prod_rr = norm_rhs_squared;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> alpha = inner_prod_rr / <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(p, Ap);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> beta = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(Ap); beta = (alpha * alpha * beta * beta - inner_prod_rr) / inner_prod_rr;</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> inner_prod_ApAp = 0;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> inner_prod_pAp = 0;</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>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a97992b7d3aba737062a8034f03f8998a">max_iterations</a>(); ++i)</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a452a19d2f4fefd2f75f37633aad92532">iters</a>(i+1);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ad5aba6fa27cb6e14b04f527c64a10196">viennacl::linalg::pipelined_cg_vector_update</a>(result, alpha, p, residual, Ap, beta, inner_prod_buffer);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a1cde61c393aa96dbf2fe6f32462b18c0">viennacl::linalg::pipelined_cg_prod</a>(A, p, Ap, inner_prod_buffer);</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>  <span class="comment">// bring back the partial results to the host:</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a>(inner_prod_buffer.<a class="code" href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">begin</a>(), inner_prod_buffer.<a class="code" href="classviennacl_1_1vector__base.html#aba8a76bd4c96435ba68cf96b9e5132a6">end</a>(), host_inner_prod_buffer.begin());</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>  inner_prod_rr = std::accumulate(host_inner_prod_buffer.begin(), host_inner_prod_buffer.begin() + buffer_offset_per_vector, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  inner_prod_ApAp = std::accumulate(host_inner_prod_buffer.begin() + buffer_offset_per_vector, host_inner_prod_buffer.begin() + 2 * buffer_offset_per_vector, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  inner_prod_pAp = std::accumulate(host_inner_prod_buffer.begin() + 2 * buffer_offset_per_vector, host_inner_prod_buffer.begin() + 3 * buffer_offset_per_vector, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</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="keywordflow">if</span> (monitor && monitor(result, std::sqrt(std::fabs(inner_prod_rr / norm_rhs_squared)), monitor_data))</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keywordflow">if</span> (std::fabs(inner_prod_rr / norm_rhs_squared) < tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a74f24a9c56185b63a53e06dcb50eb00b">tolerance</a>() * tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a74f24a9c56185b63a53e06dcb50eb00b">tolerance</a>() || std::fabs(inner_prod_rr) < tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>() * tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>()) <span class="comment">//squared norms involved here</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  alpha = inner_prod_rr / inner_prod_pAp;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  beta = (alpha*alpha*inner_prod_ApAp - inner_prod_rr) / inner_prod_rr;</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> </div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="comment">//store last error estimate:</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a0b0910f5d0f953e2fb3d73d26fda8770">error</a>(std::sqrt(std::fabs(inner_prod_rr) / norm_rhs_squared));</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>  <span class="keywordflow">return</span> result;</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> </div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00192"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a51028d784a3001c552300a90308311ca"> 192</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">solve_impl</a>(<a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordtype">bool</span> (*monitor)(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> &, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, <span class="keywordtype">void</span>*) = NULL,</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</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>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f">pipelined_solve</a>(A, rhs, tag, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>(), monitor, monitor_data);</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="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a4cf42fcaea9bf1be1ad4bde85491af88"> 205</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">solve_impl</a>(<a class="code" href="classviennacl_1_1coordinate__matrix.html">viennacl::coordinate_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordtype">bool</span> (*monitor)(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> &, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, <span class="keywordtype">void</span>*) = NULL,</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</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="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f">detail::pipelined_solve</a>(A, rhs, tag, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>(), monitor, monitor_data);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  }</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </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="l00218"></a><span class="lineno"> 218</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#aea179a0fc26e2c266f7ce26d94a2c2aa"> 219</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">solve_impl</a>(<a class="code" href="classviennacl_1_1ell__matrix.html">viennacl::ell_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordtype">bool</span> (*monitor)(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> &, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, <span class="keywordtype">void</span>*) = NULL,</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  {</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f">detail::pipelined_solve</a>(A, rhs, tag, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>(), monitor, monitor_data);</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  }</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> </div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00233"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a653d82b4958732f868f6517695b77aea"> 233</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">solve_impl</a>(<a class="code" href="classviennacl_1_1sliced__ell__matrix.html">viennacl::sliced_ell_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordtype">bool</span> (*monitor)(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> &, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, <span class="keywordtype">void</span>*) = NULL,</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  {</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f">detail::pipelined_solve</a>(A, rhs, tag, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>(), monitor, monitor_data);</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> </div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00246"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a56d0508ac47fbb07f49b887ca2844715"> 246</a></span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">solve_impl</a>(<a class="code" href="classviennacl_1_1hyb__matrix.html">viennacl::hyb_matrix<NumericT></a> <span class="keyword">const</span> & A,</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keywordtype">bool</span> (*monitor)(<a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> <span class="keyword">const</span> &, <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>, <span class="keywordtype">void</span>*) = NULL,</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  {</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f">detail::pipelined_solve</a>(A, rhs, tag, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>(), monitor, monitor_data);</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> </div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> PreconditionerT></div>
<div class="line"><a name="l00258"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#af4d0acd81c7e96594ef41c1ffb6a9c77"> 258</a></span>  VectorT <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">solve_impl</a>(MatrixT <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1matrix.html">matrix</a>,</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  VectorT <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  PreconditionerT <span class="keyword">const</span> & precond,</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordtype">bool</span> (*monitor)(VectorT <span class="keyword">const</span> &, <span class="keyword">typename</span> <a class="code" href="structviennacl_1_1result__of_1_1cpu__value__type.html">viennacl::result_of::cpu_value_type</a><<span class="keyword">typename</span> <a class="code" href="structviennacl_1_1result__of_1_1value__type.html#a1fccdddb6d57eaba8f19506cea2051a3">viennacl::result_of::value_type<VectorT>::type</a>>::type, <span class="keywordtype">void</span>*) = NULL,</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  {</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</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<VectorT>::type</a> NumericType;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</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<NumericType>::type</a> CPU_NumericType;</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>  VectorT result = rhs;</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <a class="code" href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a>(result);</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  VectorT residual = rhs;</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  VectorT tmp = rhs;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <a class="code" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html">detail::z_handler<VectorT, PreconditionerT></a> zhandler(residual);</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  VectorT & z = zhandler.<a class="code" href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html#a423d43c91f4a5ce7f742c71731066d53">get</a>();</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  precond.apply(z);</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  VectorT p = z;</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> </div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  CPU_NumericType ip_rr = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(residual, z);</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  CPU_NumericType alpha;</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  CPU_NumericType new_ip_rr = 0;</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  CPU_NumericType beta;</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  CPU_NumericType norm_rhs_squared = ip_rr;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  CPU_NumericType new_ipp_rr_over_norm_rhs;</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span> </div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keywordflow">if</span> (norm_rhs_squared <= tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>() * tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>()) <span class="comment">//solution is zero if RHS norm (squared) is zero</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a97992b7d3aba737062a8034f03f8998a">max_iterations</a>(); ++i)</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  {</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a452a19d2f4fefd2f75f37633aad92532">iters</a>(i+1);</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  tmp = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, p);</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  alpha = ip_rr / <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(tmp, p);</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  result += alpha * p;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  residual -= alpha * tmp;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  z = residual;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  precond.apply(z);</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="keywordflow">if</span> (static_cast<VectorT*>(&residual)==static_cast<VectorT*>(&z))</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  new_ip_rr = std::pow(<a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual),2);</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  new_ip_rr = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(residual, z);</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  new_ipp_rr_over_norm_rhs = new_ip_rr / norm_rhs_squared;</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordflow">if</span> (monitor && monitor(result, std::sqrt(std::fabs(new_ipp_rr_over_norm_rhs)), monitor_data))</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keywordflow">if</span> (std::fabs(new_ipp_rr_over_norm_rhs) < tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a74f24a9c56185b63a53e06dcb50eb00b">tolerance</a>() * tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a74f24a9c56185b63a53e06dcb50eb00b">tolerance</a>() || std::fabs(new_ip_rr) < tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>() * tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">abs_tolerance</a>()) <span class="comment">//squared norms involved here</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  beta = new_ip_rr / ip_rr;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  ip_rr = new_ip_rr;</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>  p = z + beta*p;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  }</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> </div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="comment">//store last error estimate:</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html#a0b0910f5d0f953e2fb3d73d26fda8770">error</a>(std::sqrt(std::fabs(new_ip_rr / norm_rhs_squared)));</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> </div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  }</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> }</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> </div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> </div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT, <span class="keyword">typename</span> PreconditionerT></div>
<div class="line"><a name="l00339"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a2fad8cb9d4b354019644518915c7f54f"> 339</a></span> VectorT <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(MatrixT <span class="keyword">const</span> & matrix, VectorT <span class="keyword">const</span> & rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag, PreconditionerT <span class="keyword">const</span> & precond)</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span> {</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">detail::solve_impl</a>(matrix, rhs, tag, precond);</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> }</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="keyword">template</span><<span class="keyword">typename</span> IndexT, <span class="keyword">typename</span> NumericT, <span class="keyword">typename</span> PreconditionerT></div>
<div class="line"><a name="l00350"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a52e8d1aec0a1fac16ec0a9065b1434d7"> 350</a></span> std::vector<NumericT> <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(std::vector< std::map<IndexT, NumericT> > <span class="keyword">const</span> & A, std::vector<NumericT> <span class="keyword">const</span> & rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag, PreconditionerT <span class="keyword">const</span> & precond)</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> {</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> vcl_A;</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A, vcl_A);</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> vcl_rhs(rhs.size());</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(rhs, vcl_rhs);</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>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> vcl_result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(vcl_A, vcl_rhs, tag, precond);</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> </div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  std::vector<NumericT> result(vcl_result.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>());</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_result, result);</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span> }</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> </div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00372"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a0679942882efd21c540fac8e78a6d56a"> 372</a></span> VectorT <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(MatrixT <span class="keyword">const</span> & matrix, VectorT <span class="keyword">const</span> & rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> {</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">solve</a>(matrix, rhs, tag, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>());</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> }</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> </div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> </div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> </div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00380"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html"> 380</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html">cg_solver</a></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> {</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00383"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html#aec095d6c518c889711433f7485c09144"> 383</a></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<VectorT>::type</a> <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#aec095d6c518c889711433f7485c09144">numeric_type</a>;</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> </div>
<div class="line"><a name="l00385"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html#acaa27e4be6e0e370122e35ab046cf065"> 385</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#acaa27e4be6e0e370122e35ab046cf065">cg_solver</a>(<a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & tag) : tag_(tag), monitor_callback_(NULL), user_data_(NULL) {}</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> </div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> PreconditionerT></div>
<div class="line"><a name="l00388"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html#af2560428e00285baaadef447bca95158"> 388</a></span>  VectorT <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#af2560428e00285baaadef447bca95158">operator()</a>(MatrixT <span class="keyword">const</span> & A, VectorT <span class="keyword">const</span> & b, PreconditionerT <span class="keyword">const</span> & precond)<span class="keyword"> const</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a>(init_guess_) > 0) <span class="comment">// take initial guess into account</span></div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  {</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  VectorT mod_rhs = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(A, init_guess_);</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  mod_rhs = b - mod_rhs;</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  VectorT y = <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">detail::solve_impl</a>(A, mod_rhs, tag_, precond, monitor_callback_, user_data_);</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordflow">return</span> init_guess_ + y;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  }</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">detail::solve_impl</a>(A, b, tag_, precond, monitor_callback_, user_data_);</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  }</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> </div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00402"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html#ab1299c189778449a21873dfcc8db5613"> 402</a></span>  VectorT <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#ab1299c189778449a21873dfcc8db5613">operator()</a>(MatrixT <span class="keyword">const</span> & A, VectorT <span class="keyword">const</span> & b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#af2560428e00285baaadef447bca95158">operator()</a>(A, b, <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>());</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  }</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> </div>
<div class="line"><a name="l00411"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html#a0516367ac5995e7c645469895dc9eb52"> 411</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#a0516367ac5995e7c645469895dc9eb52">set_initial_guess</a>(VectorT <span class="keyword">const</span> & x) { init_guess_ = x; }</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> </div>
<div class="line"><a name="l00420"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html#a429e8de7568745ab8b6ea0d188e6c399"> 420</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#a429e8de7568745ab8b6ea0d188e6c399">set_monitor</a>(<span class="keywordtype">bool</span> (*monitor_fun)(VectorT <span class="keyword">const</span> &, <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#aec095d6c518c889711433f7485c09144">numeric_type</a>, <span class="keywordtype">void</span> *), <span class="keywordtype">void</span> *user_data)</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  {</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  monitor_callback_ = monitor_fun;</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  user_data_ = user_data;</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  }</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> </div>
<div class="line"><a name="l00427"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1cg__solver.html#a00caa4ab11fed259610138cd14a80f45"> 427</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#a00caa4ab11fed259610138cd14a80f45">tag</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> tag_; }</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">cg_tag</a> tag_;</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  VectorT init_guess_;</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  bool (*monitor_callback_)(VectorT <span class="keyword">const</span> &, <a class="code" href="classviennacl_1_1linalg_1_1cg__solver.html#aec095d6c518c889711433f7485c09144">numeric_type</a>, <span class="keywordtype">void</span> *);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <span class="keywordtype">void</span> *user_data_;</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> };</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> </div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> </div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span> }</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> }</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="classviennacl_1_1hyb__matrix_html"><div class="ttname"><a href="classviennacl_1_1hyb__matrix.html">viennacl::hyb_matrix</a></div><div class="ttdoc">Sparse matrix class using a hybrid format composed of the ELL and CSR format for storing the nonzeros...</div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00406">forwards.h:406</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="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_1cg__tag_html_a9c13205b31b5b56c8b87c65e4aa09346"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#a9c13205b31b5b56c8b87c65e4aa09346">viennacl::linalg::cg_tag::cg_tag</a></div><div class="ttdeci">cg_tag(double tol=1e-8, unsigned int max_iterations=300)</div><div class="ttdoc">The constructor. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00056">cg.hpp:56</a></div></div>
<div class="ttc" id="size_8hpp_html"><div class="ttname"><a href="size_8hpp.html">size.hpp</a></div><div class="ttdoc">Generic size and resize functionality for different vector and matrix types. </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="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_1linalg_1_1cg__tag_html_a74f24a9c56185b63a53e06dcb50eb00b"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#a74f24a9c56185b63a53e06dcb50eb00b">viennacl::linalg::cg_tag::tolerance</a></div><div class="ttdeci">double tolerance() const </div><div class="ttdoc">Returns the relative tolerance. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00059">cg.hpp:59</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_ae33ca2ea245229d9d1cd772d3d0157d7"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">viennacl::linalg::detail::solve_impl</a></div><div class="ttdeci">viennacl::vector< NumericT > solve_impl(viennacl::compressed_matrix< NumericT > const &A, viennacl::vector< NumericT > const &rhs, bicgstab_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< NumericT > const &, NumericT, void *)=NULL, void *monitor_data=NULL)</div><div class="ttdoc">Overload for the pipelined CG implementation for the ViennaCL sparse matrix types. </div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00219">bicgstab.hpp:219</a></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_1detail_1_1z__handler_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html">viennacl::linalg::detail::z_handler</a></div><div class="ttdoc">handles the no_precond case at minimal overhead </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00094">cg.hpp:94</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a22ab64b1df12a9da0423e5cad52ea367"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a></div><div class="ttdeci">void clear(VectorType &vec)</div><div class="ttdoc">Generic routine for setting all entries of a vector to zero. This is the version for non-ViennaCL obj...</div><div class="ttdef"><b>Definition:</b> <a href="clear_8hpp_source.html#l00043">clear.hpp:43</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="structviennacl_1_1zero__vector_html"><div class="ttname"><a href="structviennacl_1_1zero__vector.html">viennacl::zero_vector</a></div><div class="ttdef"><b>Definition:</b> <a href="vector__def_8hpp_source.html#l00093">vector_def.hpp:93</a></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="namespaceviennacl_1_1linalg_html_ab35950c4374eb3be08a03d852508c01a"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a></div><div class="ttdeci">viennacl::enable_if< viennacl::is_stl< typename viennacl::traits::tag_of< VectorT1 >::type >::value, typename VectorT1::value_type >::type inner_prod(VectorT1 const &v1, VectorT2 const &v2)</div><div class="ttdef"><b>Definition:</b> <a href="inner__prod_8hpp_source.html#l00100">inner_prod.hpp:100</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_ad5aba6fa27cb6e14b04f527c64a10196"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ad5aba6fa27cb6e14b04f527c64a10196">viennacl::linalg::pipelined_cg_vector_update</a></div><div class="ttdeci">void pipelined_cg_vector_update(vector_base< NumericT > &result, NumericT alpha, vector_base< NumericT > &p, vector_base< NumericT > &r, vector_base< NumericT > const &Ap, NumericT beta, vector_base< NumericT > &inner_prod_buffer)</div><div class="ttdoc">Performs a joint vector update operation needed for an efficient pipelined CG algorithm. </div><div class="ttdef"><b>Definition:</b> <a href="iterative__operations_8hpp_source.html#l00059">iterative_operations.hpp:59</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__tag_html_a452a19d2f4fefd2f75f37633aad92532"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#a452a19d2f4fefd2f75f37633aad92532">viennacl::linalg::cg_tag::iters</a></div><div class="ttdeci">unsigned int iters() const </div><div class="ttdoc">Return the number of solver iterations: </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00070">cg.hpp:70</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="inner__prod_8hpp_html"><div class="ttname"><a href="inner__prod_8hpp.html">inner_prod.hpp</a></div><div class="ttdoc">Generic interface for the computation of inner products. See viennacl/linalg/vector_operations.hpp for implementations. </div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a6e9b329b64ac782e6a5687ad2fc47a2a"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a></div><div class="ttdeci">VectorT solve(MatrixT const &matrix, VectorT const &rhs, bicgstab_tag const &tag, PreconditionerT const &precond)</div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00496">bicgstab.hpp:496</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a1cde61c393aa96dbf2fe6f32462b18c0"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a1cde61c393aa96dbf2fe6f32462b18c0">viennacl::linalg::pipelined_cg_prod</a></div><div class="ttdeci">void pipelined_cg_prod(MatrixT const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > &inner_prod_buffer)</div><div class="ttdoc">Performs a joint vector update operation needed for an efficient pipelined CG algorithm. </div><div class="ttdef"><b>Definition:</b> <a href="iterative__operations_8hpp_source.html#l00097">iterative_operations.hpp:97</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__solver_html_ab1299c189778449a21873dfcc8db5613"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html#ab1299c189778449a21873dfcc8db5613">viennacl::linalg::cg_solver::operator()</a></div><div class="ttdeci">VectorT operator()(MatrixT const &A, VectorT const &b) const </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00402">cg.hpp:402</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="classviennacl_1_1linalg_1_1cg__tag_html_a97992b7d3aba737062a8034f03f8998a"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#a97992b7d3aba737062a8034f03f8998a">viennacl::linalg::cg_tag::max_iterations</a></div><div class="ttdeci">unsigned int max_iterations() const </div><div class="ttdoc">Returns the maximum number of iterations. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00067">cg.hpp:67</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_1traits_html_aa2344ea20469f55fbc15a8e9526494d0"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#aa2344ea20469f55fbc15a8e9526494d0">viennacl::traits::size</a></div><div class="ttdeci">vcl_size_t size(VectorType const &vec)</div><div class="ttdoc">Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00239">size.hpp:239</a></div></div>
<div class="ttc" id="classviennacl_1_1ell__matrix_html"><div class="ttname"><a href="classviennacl_1_1ell__matrix.html">viennacl::ell_matrix</a></div><div class="ttdoc">Sparse matrix class using the ELLPACK format for storing the nonzeros. </div><div class="ttdef"><b>Definition:</b> <a href="ell__matrix_8hpp_source.html#l00053">ell_matrix.hpp:53</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_a762d98e2f912fc534951f25555b6077f"><div class="ttname"><a href="classviennacl_1_1vector__base.html#a762d98e2f912fc534951f25555b6077f">viennacl::vector_base::begin</a></div><div class="ttdeci">iterator begin()</div><div class="ttdoc">Returns an iterator pointing to the beginning of the vector (STL like) </div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l00841">vector.hpp:841</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1no__precond_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a></div><div class="ttdoc">A tag class representing the use of no preconditioner. </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00873">forwards.h:873</a></div></div>
<div class="ttc" id="ilu_8hpp_html"><div class="ttname"><a href="ilu_8hpp.html">ilu.hpp</a></div><div class="ttdoc">Implementations of incomplete factorization preconditioners. Convenience header file. </div></div>
<div class="ttc" id="classviennacl_1_1vector_html_a7e683e134c8aad7b3cd057776a58c4c4"><div class="ttname"><a href="classviennacl_1_1vector.html#a7e683e134c8aad7b3cd057776a58c4c4">viennacl::vector::difference_type</a></div><div class="ttdeci">base_type::difference_type difference_type</div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l00957">vector.hpp:957</a></div></div>
<div class="ttc" id="classviennacl_1_1sliced__ell__matrix_html"><div class="ttname"><a href="classviennacl_1_1sliced__ell__matrix.html">viennacl::sliced_ell_matrix</a></div><div class="ttdoc">Sparse matrix class using the sliced ELLPACK with parameters C, . </div><div class="ttdef"><b>Definition:</b> <a href="forwards_8h_source.html#l00403">forwards.h:403</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1z__handler_3_01_vector_t_00_01viennacl_1_1linalg_1_1no__precond_01_4_html_ade7761479fd1f711ac3cc67c44625adb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1z__handler_3_01_vector_t_00_01viennacl_1_1linalg_1_1no__precond_01_4.html#ade7761479fd1f711ac3cc67c44625adb">viennacl::linalg::detail::z_handler< VectorT, viennacl::linalg::no_precond >::z_handler</a></div><div class="ttdeci">z_handler(VectorT &residual)</div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00105">cg.hpp:105</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_1_1detail_html_a173ef3bf1e3cf75985fbd3989e37290f"><div class="ttname"><a href="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f">viennacl::linalg::detail::pipelined_solve</a></div><div class="ttdeci">viennacl::vector< NumericT > pipelined_solve(MatrixT const &A, viennacl::vector_base< NumericT > const &rhs, bicgstab_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< NumericT > const &, NumericT, void *)=NULL, void *monitor_data=NULL)</div><div class="ttdoc">Implementation of a pipelined stabilized Bi-conjugate gradient solver. </div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00098">bicgstab.hpp:98</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1z__handler_html_a423d43c91f4a5ce7f742c71731066d53"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html#a423d43c91f4a5ce7f742c71731066d53">viennacl::linalg::detail::z_handler::get</a></div><div class="ttdeci">VectorT & get()</div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00097">cg.hpp:97</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__tag_html_a10a6d8c00d0a2e7f0e06c9ed36194ebb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#a10a6d8c00d0a2e7f0e06c9ed36194ebb">viennacl::linalg::cg_tag::abs_tolerance</a></div><div class="ttdeci">double abs_tolerance() const </div><div class="ttdoc">Returns the absolute tolerance. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00062">cg.hpp:62</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="classviennacl_1_1linalg_1_1cg__solver_html_aec095d6c518c889711433f7485c09144"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html#aec095d6c518c889711433f7485c09144">viennacl::linalg::cg_solver::numeric_type</a></div><div class="ttdeci">viennacl::result_of::cpu_value_type< VectorT >::type numeric_type</div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00383">cg.hpp:383</a></div></div>
<div class="ttc" id="clear_8hpp_html"><div class="ttname"><a href="clear_8hpp.html">clear.hpp</a></div><div class="ttdoc">Generic clear functionality for different vector and matrix types. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__solver_html_acaa27e4be6e0e370122e35ab046cf065"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html#acaa27e4be6e0e370122e35ab046cf065">viennacl::linalg::cg_solver::cg_solver</a></div><div class="ttdeci">cg_solver(cg_tag const &tag)</div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00385">cg.hpp:385</a></div></div>
<div class="ttc" id="classviennacl_1_1vector_html"><div class="ttname"><a href="classviennacl_1_1vector.html">viennacl::vector< NumericT ></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="classviennacl_1_1linalg_1_1cg__tag_html_a0b0910f5d0f953e2fb3d73d26fda8770"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#a0b0910f5d0f953e2fb3d73d26fda8770">viennacl::linalg::cg_tag::error</a></div><div class="ttdeci">double error() const </div><div class="ttdoc">Returns the estimated relative error at the end of the solver run. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00074">cg.hpp:74</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1detail_1_1z__handler_html_a4f1e812b933794f46e399adf0994b2fe"><div class="ttname"><a href="classviennacl_1_1linalg_1_1detail_1_1z__handler.html#a4f1e812b933794f46e399adf0994b2fe">viennacl::linalg::detail::z_handler::z_handler</a></div><div class="ttdeci">z_handler(VectorT &residual)</div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00096">cg.hpp:96</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__tag_html_aefb50beff8c4b88af1fa7f84f3a87e01"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#aefb50beff8c4b88af1fa7f84f3a87e01">viennacl::linalg::cg_tag::abs_tolerance</a></div><div class="ttdeci">void abs_tolerance(double new_tol)</div><div class="ttdoc">Sets the absolute tolerance. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00064">cg.hpp:64</a></div></div>
<div class="ttc" id="iterative__operations_8hpp_html"><div class="ttname"><a href="iterative__operations_8hpp.html">iterative_operations.hpp</a></div><div class="ttdoc">Implementations of specialized routines for the iterative solvers. </div></div>
<div class="ttc" id="namespaceviennacl_1_1traits_html_a6707f5dab8f482170d2046a605f46ef8"><div class="ttname"><a href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a></div><div class="ttdeci">viennacl::context context(T const &t)</div><div class="ttdoc">Returns an ID for the currently active memory domain of an object. </div><div class="ttdef"><b>Definition:</b> <a href="traits_2context_8hpp_source.html#l00040">context.hpp:40</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__tag_html_a6c307a0e9e23087123d451bbd129775c"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#a6c307a0e9e23087123d451bbd129775c">viennacl::linalg::cg_tag::iters</a></div><div class="ttdeci">void iters(unsigned int i) const </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00071">cg.hpp:71</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__tag_html_ac868db8dfe81aacc90bf8b0a340fa1de"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__tag.html#ac868db8dfe81aacc90bf8b0a340fa1de">viennacl::linalg::cg_tag::error</a></div><div class="ttdeci">void error(double e) const </div><div class="ttdoc">Sets the estimated relative error at the end of the solver run. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00076">cg.hpp:76</a></div></div>
<div class="ttc" id="structviennacl_1_1result__of_1_1cpu__value__type_html"><div class="ttname"><a href="structviennacl_1_1result__of_1_1cpu__value__type.html">viennacl::result_of::cpu_value_type</a></div><div class="ttdoc">Helper meta function for retrieving the main RAM-based value type. Particularly important to obtain T...</div><div class="ttdef"><b>Definition:</b> <a href="result__of_8hpp_source.html#l00269">result_of.hpp:269</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="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< NumericT ></a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__solver_html_a429e8de7568745ab8b6ea0d188e6c399"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html#a429e8de7568745ab8b6ea0d188e6c399">viennacl::linalg::cg_solver::set_monitor</a></div><div class="ttdeci">void set_monitor(bool(*monitor_fun)(VectorT const &, numeric_type, void *), void *user_data)</div><div class="ttdoc">Sets a monitor function pointer to be called in each iteration. Set to NULL to run without monitor...</div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00420">cg.hpp:420</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html_aba8a76bd4c96435ba68cf96b9e5132a6"><div class="ttname"><a href="classviennacl_1_1vector__base.html#aba8a76bd4c96435ba68cf96b9e5132a6">viennacl::vector_base::end</a></div><div class="ttdeci">iterator end()</div><div class="ttdoc">Returns an iterator pointing to the end of the vector (STL like) </div><div class="ttdef"><b>Definition:</b> <a href="vector_8hpp_source.html#l00848">vector.hpp:848</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__solver_html_a0516367ac5995e7c645469895dc9eb52"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html#a0516367ac5995e7c645469895dc9eb52">viennacl::linalg::cg_solver::set_initial_guess</a></div><div class="ttdeci">void set_initial_guess(VectorT const &x)</div><div class="ttdoc">Specifies an initial guess for the iterative solver. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00411">cg.hpp:411</a></div></div>
<div class="ttc" id="result__of_8hpp_html"><div class="ttname"><a href="result__of_8hpp.html">result_of.hpp</a></div><div class="ttdoc">A collection of compile time type deductions. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__solver_html_a00caa4ab11fed259610138cd14a80f45"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html#a00caa4ab11fed259610138cd14a80f45">viennacl::linalg::cg_solver::tag</a></div><div class="ttdeci">cg_tag const & tag() const </div><div class="ttdoc">Returns the solver tag containing basic configuration such as tolerances, etc. </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00427">cg.hpp:427</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1cg__solver_html_af2560428e00285baaadef447bca95158"><div class="ttname"><a href="classviennacl_1_1linalg_1_1cg__solver.html#af2560428e00285baaadef447bca95158">viennacl::linalg::cg_solver::operator()</a></div><div class="ttdeci">VectorT operator()(MatrixT const &A, VectorT const &b, PreconditionerT const &precond) const </div><div class="ttdef"><b>Definition:</b> <a href="cg_8hpp_source.html#l00388">cg.hpp:388</a></div></div>
<div class="ttc" id="classviennacl_1_1coordinate__matrix_html"><div class="ttname"><a href="classviennacl_1_1coordinate__matrix.html">viennacl::coordinate_matrix</a></div><div class="ttdoc">A sparse square matrix, where entries are stored as triplets (i,j, val), where i and j are the row an...</div><div class="ttdef"><b>Definition:</b> <a href="coordinate__matrix_8hpp_source.html#l00186">coordinate_matrix.hpp:186</a></div></div>
<div class="ttc" id="namespaceviennacl_html_aaa5c8726b45bc89a523ca2fa8c42107a"><div class="ttname"><a href="namespaceviennacl.html#aaa5c8726b45bc89a523ca2fa8c42107a">viennacl::fast_copy</a></div><div class="ttdeci">void fast_copy(const const_vector_iterator< SCALARTYPE, ALIGNMENT > &gpu_begin, const const_vector_iterator< SCALARTYPE, ALIGNMENT > &gpu_end, CPU_ITERATOR cpu_begin)</div></div>
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