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<div class="title">bicgstab.hpp</div> </div>
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<a href="bicgstab_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_BICGSTAB_HPP_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#define VIENNACL_LINALG_BICGSTAB_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 <cmath></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include <numeric></span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="forwards_8h.html">viennacl/forwards.h</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="tools_8hpp.html">viennacl/tools/tools.hpp</a>"</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="prod_8hpp.html">viennacl/linalg/prod.hpp</a>"</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</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="l00033"></a><span class="lineno"> 33</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="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="clear_8hpp.html">viennacl/traits/clear.hpp</a>"</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="size_8hpp.html">viennacl/traits/size.hpp</a>"</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="traits_2context_8hpp.html">viennacl/traits/context.hpp</a>"</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</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="l00038"></a><span class="lineno"> 38</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="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">namespace </span>viennacl</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">namespace </span>linalg</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html"> 47</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> {</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</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_1bicgstab__tag.html#a9e4495f7aa59c9dbbd4047a8c90479ff"> 56</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a9e4495f7aa59c9dbbd4047a8c90479ff">bicgstab_tag</a>(<span class="keywordtype">double</span> tol = 1e-8, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> max_iters = 400, <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> max_iters_before_restart = 200)</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  : tol_(tol), abs_tol_(0), iterations_(max_iters), iterations_before_restart_(max_iters_before_restart) {}</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4ff7f891d0269068045a058af5f114fb"> 60</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4ff7f891d0269068045a058af5f114fb">tolerance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> tol_; }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e"> 63</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">abs_tolerance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> abs_tol_; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a738daa93ccfcb3b2a1ea7a06d0b69a32"> 65</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a738daa93ccfcb3b2a1ea7a06d0b69a32">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="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a76082b65db899f8c3caa6c88ac521d2d"> 68</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a76082b65db899f8c3caa6c88ac521d2d">max_iterations</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> iterations_; }</div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a1f80c81399ab0a55c2720c6b4858459d"> 70</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a1f80c81399ab0a55c2720c6b4858459d">max_iterations_before_restart</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> iterations_before_restart_; }</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a698a971a09428cf17372c7a079abb606"> 73</a></span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a698a971a09428cf17372c7a079abb606">iters</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> iters_taken_; }</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a3049c776a046fecd85cfe516ea0f0b90"> 74</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a3049c776a046fecd85cfe516ea0f0b90">iters</a>(<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i)<span class="keyword"> const </span>{ iters_taken_ = i; }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4646f86ad73f04fb725374de6b6fc4ed"> 77</a></span>  <span class="keywordtype">double</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4646f86ad73f04fb725374de6b6fc4ed">error</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> last_error_; }</div>
<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae754df0db427358379b7b8999543412b"> 79</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae754df0db427358379b7b8999543412b">error</a>(<span class="keywordtype">double</span> e)<span class="keyword"> const </span>{ last_error_ = e; }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordtype">double</span> tol_;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordtype">double</span> abs_tol_;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> iterations_;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> iterations_before_restart_;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="comment">//return values from solver</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">mutable</span> <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> iters_taken_;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">mutable</span> <span class="keywordtype">double</span> last_error_;</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="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">namespace </span>detail</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> {</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a173ef3bf1e3cf75985fbd3989e37290f"> 98</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="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="classviennacl_1_1vector__base.html">viennacl::vector_base<NumericT></a> <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</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="l00103"></a><span class="lineno"> 103</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  {</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> result = <a class="code" href="structviennacl_1_1zero__vector.html">viennacl::zero_vector<NumericT></a>(rhs.<a class="code" href="classviennacl_1_1vector__base.html#a15c47ae4326098aeaa4ed6b91fc6df9b">size</a>(), <a class="code" href="namespaceviennacl_1_1traits.html#a6707f5dab8f482170d2046a605f46ef8">viennacl::traits::context</a>(rhs));</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> residual = rhs;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> p = rhs;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> r0star = rhs;</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> Ap = rhs;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> s = rhs;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> As = rhs;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// Layout of temporary buffer:</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="comment">// chunk 0: <residual, r_0^*></span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="comment">// chunk 1: <As, As></span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// chunk 2: <As, s></span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">// chunk 3: <Ap, r_0^*></span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="comment">// chunk 4: <As, r_0^*></span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// chunk 5: <s, s></span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> buffer_size_per_vector = 256;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> num_buffer_chunks = 6;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</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>(num_buffer_chunks*buffer_size_per_vector, <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="l00124"></a><span class="lineno"> 124</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="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> norm_rhs_host = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> beta;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> alpha;</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> omega;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> residual_norm = norm_rhs_host;</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  inner_prod_buffer[0] = norm_rhs_host * norm_rhs_host;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> r_dot_r0 = 0;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> As_dot_As = 0;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> As_dot_s = 0;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> Ap_dot_r0 = 0;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> As_dot_r0 = 0;</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> s_dot_s = 0;</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">if</span> (norm_rhs_host <= tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">abs_tolerance</a>()) <span class="comment">//solution is zero if RHS norm is zero</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a76082b65db899f8c3caa6c88ac521d2d">max_iterations</a>(); ++i)</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  {</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a698a971a09428cf17372c7a079abb606">iters</a>(i+1);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">// Ap = A*p_j</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="comment">// Ap_dot_r0 = <Ap, r_0^*></span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ab66c2c1f1a8eb05b116d9b1274243b38">viennacl::linalg::pipelined_bicgstab_prod</a>(A, p, Ap, r0star,</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  inner_prod_buffer, buffer_size_per_vector, 3*buffer_size_per_vector);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">//</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"></span> <span class="comment">//viennacl::fast_copy(inner_prod_buffer.begin(), inner_prod_buffer.end(), host_inner_prod_buffer.begin());</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="comment">//Ap_dot_r0 = std::accumulate(host_inner_prod_buffer.begin() + buffer_size_per_vector, host_inner_prod_buffer.begin() + 2 * buffer_size_per_vector, ScalarType(0));</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="comment">//alpha = residual_dot_r0 / Ap_dot_r0;</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="comment">//s = residual - alpha * Ap;</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="comment">// s = r - alpha * Ap</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="comment">// <s, s> first stage</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="comment">// dump alpha at end of inner_prod_buffer</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a53f4ef640389f9a074761824cb29ac43">viennacl::linalg::pipelined_bicgstab_update_s</a>(s, residual, Ap,</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  inner_prod_buffer, buffer_size_per_vector, 5*buffer_size_per_vector);</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">// As = A*s_j</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="comment">// As_dot_As = <As, As></span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="comment">// As_dot_s = <As, s></span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="comment">// As_dot_r0 = <As, r_0^*></span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#ab66c2c1f1a8eb05b116d9b1274243b38">viennacl::linalg::pipelined_bicgstab_prod</a>(A, s, As, r0star,</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  inner_prod_buffer, buffer_size_per_vector, 4*buffer_size_per_vector);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</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="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> std::vector<NumericT>::difference_type difference_type;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  r_dot_r0 = std::accumulate(host_inner_prod_buffer.begin(), host_inner_prod_buffer.begin() + difference_type( buffer_size_per_vector), <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  As_dot_As = std::accumulate(host_inner_prod_buffer.begin() + difference_type( buffer_size_per_vector), host_inner_prod_buffer.begin() + difference_type(2 * buffer_size_per_vector), <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  As_dot_s = std::accumulate(host_inner_prod_buffer.begin() + difference_type(2 * buffer_size_per_vector), host_inner_prod_buffer.begin() + difference_type(3 * buffer_size_per_vector), <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  Ap_dot_r0 = std::accumulate(host_inner_prod_buffer.begin() + difference_type(3 * buffer_size_per_vector), host_inner_prod_buffer.begin() + difference_type(4 * buffer_size_per_vector), <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  As_dot_r0 = std::accumulate(host_inner_prod_buffer.begin() + difference_type(4 * buffer_size_per_vector), host_inner_prod_buffer.begin() + difference_type(5 * buffer_size_per_vector), <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  s_dot_s = std::accumulate(host_inner_prod_buffer.begin() + difference_type(5 * buffer_size_per_vector), host_inner_prod_buffer.begin() + difference_type(6 * buffer_size_per_vector), <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(0));</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  alpha = r_dot_r0 / Ap_dot_r0;</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  beta = - As_dot_r0 / Ap_dot_r0;</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  omega = As_dot_s / As_dot_As;</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  residual_norm = std::sqrt(s_dot_s - <a class="code" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a>(2.0) * omega * As_dot_s + omega * omega * As_dot_As);</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">if</span> (monitor && monitor(result, std::fabs(residual_norm / norm_rhs_host), monitor_data))</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">if</span> (std::fabs(residual_norm / norm_rhs_host) < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4ff7f891d0269068045a058af5f114fb">tolerance</a>() || residual_norm < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">abs_tolerance</a>())</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">break</span>;</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>  <span class="comment">// x_{j+1} = x_j + alpha * p_j + omega * s_j</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="comment">// r_{j+1} = s_j - omega * t_j</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="comment">// p_{j+1} = r_{j+1} + beta * (p_j - omega * q_j)</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="comment">// and compute first stage of r_dot_r0 = <r_{j+1}, r_o^*> for use in next iteration</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <a class="code" href="namespaceviennacl_1_1linalg.html#a793be26a151c2fa6c7478143cdc75bfe">viennacl::linalg::pipelined_bicgstab_vector_update</a>(result, alpha, p, omega, s,</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  residual, As,</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  beta, Ap,</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  r0star, inner_prod_buffer, buffer_size_per_vector);</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  }</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="comment">//store last error estimate:</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4646f86ad73f04fb725374de6b6fc4ed">error</a>(residual_norm / norm_rhs_host);</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>  <span class="keywordflow">return</span> result;</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#ae33ca2ea245229d9d1cd772d3d0157d7"> 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_1compressed__matrix.html">viennacl::compressed_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_1bicgstab__tag.html">bicgstab_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">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="l00231"></a><span class="lineno"> 231</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a0927f3171606ceb9e880fe0c0a6af831"> 232</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="l00233"></a><span class="lineno"> 233</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="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</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="l00237"></a><span class="lineno"> 237</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  {</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</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="l00240"></a><span class="lineno"> 240</span>  }</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#aca48503f614f36479f0cc6ac8edba297"> 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_1ell__matrix.html">viennacl::ell_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_1bicgstab__tag.html">bicgstab_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> </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00260"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#aeec20981a1b9fc20720c5c550427ea8d"> 260</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="l00261"></a><span class="lineno"> 261</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="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</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="l00265"></a><span class="lineno"> 265</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  {</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</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="l00268"></a><span class="lineno"> 268</span>  }</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NumericT></div>
<div class="line"><a name="l00273"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a84c41eca79d44c2439ff83bbb038f61b"> 273</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="l00274"></a><span class="lineno"> 274</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="l00275"></a><span class="lineno"> 275</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</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="l00278"></a><span class="lineno"> 278</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  {</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</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="l00281"></a><span class="lineno"> 281</span>  }</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00296"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#adb904afbd023a7aa26ce333bc4be0483"> 296</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="l00297"></a><span class="lineno"> 297</span>  VectorT <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <a class="code" href="classviennacl_1_1linalg_1_1no__precond.html">viennacl::linalg::no_precond</a>,</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</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="l00301"></a><span class="lineno"> 301</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  {</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</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="l00304"></a><span class="lineno"> 304</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="l00305"></a><span class="lineno"> 305</span>  VectorT result = rhs;</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <a class="code" href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a>(result);</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  VectorT residual = rhs;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  VectorT p = rhs;</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  VectorT r0star = rhs;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  VectorT tmp0 = rhs;</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  VectorT tmp1 = rhs;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  VectorT s = rhs;</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>  CPU_NumericType norm_rhs_host = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  CPU_NumericType ip_rr0star = norm_rhs_host * norm_rhs_host;</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  CPU_NumericType beta;</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  CPU_NumericType alpha;</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  CPU_NumericType omega;</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="comment">//ScalarType inner_prod_temp; //temporary variable for inner product computation</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  CPU_NumericType new_ip_rr0star = 0;</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  CPU_NumericType residual_norm = norm_rhs_host;</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>  <span class="keywordflow">if</span> (norm_rhs_host <= tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">abs_tolerance</a>()) <span class="comment">//solution is zero if RHS norm is zero</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordflow">return</span> result;</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>  <span class="keywordtype">bool</span> restart_flag = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> last_restart = 0;</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">for</span> (<a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> i = 0; i < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a76082b65db899f8c3caa6c88ac521d2d">max_iterations</a>(); ++i)</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  {</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keywordflow">if</span> (restart_flag)</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  {</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  residual = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, result);</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  residual = rhs - residual;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  p = residual;</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  r0star = residual;</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  ip_rr0star = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  ip_rr0star *= ip_rr0star;</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  restart_flag = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  last_restart = i;</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  }</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>  tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a698a971a09428cf17372c7a079abb606">iters</a>(i+1);</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  tmp0 = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, p);</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  alpha = ip_rr0star / <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(tmp0, r0star);</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  s = residual - alpha*tmp0;</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  tmp1 = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, s);</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  CPU_NumericType norm_tmp1 = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(tmp1);</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  omega = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(tmp1, s) / (norm_tmp1 * norm_tmp1);</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> </div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  result += alpha * p + omega * s;</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  residual = s - omega * tmp1;</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> </div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  new_ip_rr0star = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(residual, r0star);</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  residual_norm = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordflow">if</span> (monitor && monitor(result, std::fabs(residual_norm / norm_rhs_host), monitor_data))</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordflow">if</span> (std::fabs(residual_norm / norm_rhs_host) < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4ff7f891d0269068045a058af5f114fb">tolerance</a>() || residual_norm < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">abs_tolerance</a>())</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  beta = new_ip_rr0star / ip_rr0star * alpha/omega;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  ip_rr0star = new_ip_rr0star;</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> </div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">if</span> ( (ip_rr0star <= 0 && ip_rr0star >= 0)</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  || (omega <= 0 && omega >= 0)</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  || (i - last_restart > tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a1f80c81399ab0a55c2720c6b4858459d">max_iterations_before_restart</a>())</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  ) <span class="comment">//search direction degenerate. A restart might help</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  restart_flag = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> </div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="comment">// Execution of</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="comment">// p = residual + beta * (p - omega*tmp0);</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="comment">// without introducing temporary vectors:</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  p -= omega * tmp0;</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  p = residual + beta * p;</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="comment">//store last error estimate:</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4646f86ad73f04fb725374de6b6fc4ed">error</a>(residual_norm / norm_rhs_host);</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="keywordflow">return</span> result;</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  }</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> </div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</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="l00399"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg_1_1detail.html#a1cb77bcb6fd8dd2b86ddb4ce9f00aab2"> 399</a></span>  VectorT <a class="code" href="namespaceviennacl_1_1linalg_1_1detail.html#ae33ca2ea245229d9d1cd772d3d0157d7">solve_impl</a>(MatrixT <span class="keyword">const</span> & matrix,</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  VectorT <span class="keyword">const</span> & rhs,</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag,</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  PreconditionerT <span class="keyword">const</span> & precond,</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</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="l00404"></a><span class="lineno"> 404</span>  <span class="keywordtype">void</span> *monitor_data = NULL)</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>  <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="l00407"></a><span class="lineno"> 407</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="l00408"></a><span class="lineno"> 408</span>  VectorT result = rhs;</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <a class="code" href="namespaceviennacl_1_1traits.html#a22ab64b1df12a9da0423e5cad52ea367">viennacl::traits::clear</a>(result);</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> </div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  VectorT residual = rhs;</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  VectorT r0star = residual; <span class="comment">//can be chosen arbitrarily in fact</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  VectorT tmp0 = rhs;</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  VectorT tmp1 = rhs;</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  VectorT s = rhs;</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  VectorT p = residual;</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  CPU_NumericType ip_rr0star = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  CPU_NumericType norm_rhs_host = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  CPU_NumericType beta;</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  CPU_NumericType alpha;</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  CPU_NumericType omega;</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  CPU_NumericType new_ip_rr0star = 0;</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  CPU_NumericType residual_norm = norm_rhs_host;</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> </div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <span class="keywordflow">if</span> (norm_rhs_host <= tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">abs_tolerance</a>()) <span class="comment">//solution is zero if RHS norm is zero</span></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keywordtype">bool</span> restart_flag = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <a class="code" href="namespaceviennacl.html#a98a0afcc513111ffa0bd138f891930df">vcl_size_t</a> last_restart = 0;</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</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_1bicgstab__tag.html#a76082b65db899f8c3caa6c88ac521d2d">max_iterations</a>(); ++i)</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  {</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  <span class="keywordflow">if</span> (restart_flag)</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>  residual = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, result);</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  residual = rhs - residual;</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  precond.apply(residual);</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  p = residual;</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  r0star = residual;</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  ip_rr0star = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  ip_rr0star *= ip_rr0star;</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  restart_flag = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  last_restart = i;</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  }</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span> </div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a698a971a09428cf17372c7a079abb606">iters</a>(i+1);</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  tmp0 = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, p);</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  precond.apply(tmp0);</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  alpha = ip_rr0star / <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(tmp0, r0star);</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span> </div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  s = residual - alpha*tmp0;</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span> </div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  tmp1 = <a class="code" href="namespaceviennacl_1_1linalg.html#aa18d10f8a90e38bd9ff43c650fc670ef">viennacl::linalg::prod</a>(matrix, s);</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  precond.apply(tmp1);</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  CPU_NumericType norm_tmp1 = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(tmp1);</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  omega = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(tmp1, s) / (norm_tmp1 * norm_tmp1);</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> </div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  result += alpha * p + omega * s;</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  residual = s - omega * tmp1;</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> </div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  residual_norm = <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">viennacl::linalg::norm_2</a>(residual);</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="keywordflow">if</span> (monitor && monitor(result, std::fabs(residual_norm / norm_rhs_host), monitor_data))</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keywordflow">if</span> (residual_norm / norm_rhs_host < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4ff7f891d0269068045a058af5f114fb">tolerance</a>() || residual_norm < tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">abs_tolerance</a>())</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> </div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  new_ip_rr0star = <a class="code" href="namespaceviennacl_1_1linalg.html#ab35950c4374eb3be08a03d852508c01a">viennacl::linalg::inner_prod</a>(residual, r0star);</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> </div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  beta = new_ip_rr0star / ip_rr0star * alpha/omega;</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  ip_rr0star = new_ip_rr0star;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span> </div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keywordflow">if</span> ( (ip_rr0star >= 0 && ip_rr0star <= 0) || (omega >=0 && omega <= 0) || i - last_restart > tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a1f80c81399ab0a55c2720c6b4858459d">max_iterations_before_restart</a>()) <span class="comment">//search direction degenerate. A restart might help</span></div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  restart_flag = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span> </div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="comment">// Execution of</span></div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="comment">// p = residual + beta * (p - omega*tmp0);</span></div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="comment">// without introducing temporary vectors:</span></div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  p -= omega * tmp0;</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  p = residual + beta * p;</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> </div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="comment">//std::cout << "Rel. Residual in current step: " << std::sqrt(std::fabs(viennacl::linalg::inner_prod(residual, residual) / norm_rhs_host)) << std::endl;</span></div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  }</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span> </div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="comment">//store last error estimate:</span></div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  tag.<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4646f86ad73f04fb725374de6b6fc4ed">error</a>(residual_norm / norm_rhs_host);</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> </div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  }</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span> </div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> }</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span> </div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> </div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> </div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</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="l00496"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a"> 496</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_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag, PreconditionerT <span class="keyword">const</span> & precond)</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> {</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</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="l00499"></a><span class="lineno"> 499</span> }</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> </div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span> </div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</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="l00508"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#acec0a2656d4cf6648f999bb2a99a332a"> 508</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_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag, PreconditionerT <span class="keyword">const</span> & precond)</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span> {</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <a class="code" href="classviennacl_1_1compressed__matrix.html">viennacl::compressed_matrix<NumericT></a> vcl_A;</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(A, vcl_A);</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span> </div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <a class="code" href="classviennacl_1_1vector.html">viennacl::vector<NumericT></a> vcl_rhs(rhs.size());</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(rhs, vcl_rhs);</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span> </div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</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="l00517"></a><span class="lineno"> 517</span> </div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</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="l00519"></a><span class="lineno"> 519</span>  <a class="code" href="namespaceviennacl.html#a10b7f8cf6b8864a7aa196d670481a453">viennacl::copy</a>(vcl_result, result);</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span> }</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span> </div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00530"></a><span class="lineno"><a class="line" href="namespaceviennacl_1_1linalg.html#abcecbbb0d1af0b546c1464c0b8445b61"> 530</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_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag)</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span> {</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</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="l00533"></a><span class="lineno"> 533</span> }</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> </div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span> </div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span> </div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span> <span class="keyword">template</span><<span class="keyword">typename</span> VectorT></div>
<div class="line"><a name="l00538"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html"> 538</a></span> <span class="keyword">class </span><a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html">bicgstab_solver</a></div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span> {</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00541"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a1b6e5de91efd44b26d40c01299ac9d97"> 541</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_1bicgstab__solver.html#a1b6e5de91efd44b26d40c01299ac9d97">numeric_type</a>;</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> </div>
<div class="line"><a name="l00543"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a5c1004d0455709402ea336a8700613c1"> 543</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a5c1004d0455709402ea336a8700613c1">bicgstab_solver</a>(<a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & tag) : tag_(tag), monitor_callback_(NULL), user_data_(NULL) {}</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span> </div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT, <span class="keyword">typename</span> PreconditionerT></div>
<div class="line"><a name="l00546"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a737445625602eb4e77d52ab8350df603"> 546</a></span>  VectorT <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a737445625602eb4e77d52ab8350df603">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="l00547"></a><span class="lineno"> 547</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</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="l00549"></a><span class="lineno"> 549</span>  {</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</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="l00551"></a><span class="lineno"> 551</span>  mod_rhs = b - mod_rhs;</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</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="l00553"></a><span class="lineno"> 553</span>  <span class="keywordflow">return</span> init_guess_ + y;</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  }</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</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="l00556"></a><span class="lineno"> 556</span>  }</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span> </div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span> </div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="keyword">template</span><<span class="keyword">typename</span> MatrixT></div>
<div class="line"><a name="l00560"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a67f0a5bfe6fa2c9eb4c9208c16ff7a55"> 560</a></span>  VectorT <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a67f0a5bfe6fa2c9eb4c9208c16ff7a55">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="l00561"></a><span class="lineno"> 561</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <span class="keywordflow">return</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a737445625602eb4e77d52ab8350df603">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="l00563"></a><span class="lineno"> 563</span>  }</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a name="l00569"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a2caa74c19a4dc8f7971cbfca0001c633"> 569</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a2caa74c19a4dc8f7971cbfca0001c633">set_initial_guess</a>(VectorT <span class="keyword">const</span> & x) { init_guess_ = x; }</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span> </div>
<div class="line"><a name="l00578"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a2c449622483a017fefa5c5577c06d777"> 578</a></span>  <span class="keywordtype">void</span> <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a2c449622483a017fefa5c5577c06d777">set_monitor</a>(<span class="keywordtype">bool</span> (*monitor_fun)(VectorT <span class="keyword">const</span> &, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a1b6e5de91efd44b26d40c01299ac9d97">numeric_type</a>, <span class="keywordtype">void</span> *), <span class="keywordtype">void</span> *user_data)</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  {</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  monitor_callback_ = monitor_fun;</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  user_data_ = user_data;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  }</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span> </div>
<div class="line"><a name="l00585"></a><span class="lineno"><a class="line" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a231ed1c548dcac0ea4488728b60a5d55"> 585</a></span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> <span class="keyword">const</span> & <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a231ed1c548dcac0ea4488728b60a5d55">tag</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> tag_; }</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span> </div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">bicgstab_tag</a> tag_;</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  VectorT init_guess_;</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  bool (*monitor_callback_)(VectorT <span class="keyword">const</span> &, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a1b6e5de91efd44b26d40c01299ac9d97">numeric_type</a>, <span class="keywordtype">void</span> *);</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <span class="keywordtype">void</span> *user_data_;</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span> };</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> </div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span> </div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> }</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span> }</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span> </div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</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="classviennacl_1_1linalg_1_1bicgstab__tag_html_a1f80c81399ab0a55c2720c6b4858459d"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a1f80c81399ab0a55c2720c6b4858459d">viennacl::linalg::bicgstab_tag::max_iterations_before_restart</a></div><div class="ttdeci">vcl_size_t max_iterations_before_restart() const </div><div class="ttdoc">Returns the maximum number of iterations before a restart. </div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00070">bicgstab.hpp:70</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_1bicgstab__tag_html_a9e4495f7aa59c9dbbd4047a8c90479ff"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a9e4495f7aa59c9dbbd4047a8c90479ff">viennacl::linalg::bicgstab_tag::bicgstab_tag</a></div><div class="ttdeci">bicgstab_tag(double tol=1e-8, vcl_size_t max_iters=400, vcl_size_t max_iters_before_restart=200)</div><div class="ttdoc">The constructor. </div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00056">bicgstab.hpp:56</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__tag_html_a738daa93ccfcb3b2a1ea7a06d0b69a32"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a738daa93ccfcb3b2a1ea7a06d0b69a32">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00065">bicgstab.hpp:65</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="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_1bicgstab__tag_html_a4646f86ad73f04fb725374de6b6fc4ed"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4646f86ad73f04fb725374de6b6fc4ed">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00077">bicgstab.hpp:77</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="classviennacl_1_1linalg_1_1bicgstab__solver_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html">viennacl::linalg::bicgstab_solver</a></div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00538">bicgstab.hpp:538</a></div></div>
<div class="ttc" id="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="classviennacl_1_1linalg_1_1bicgstab__solver_html_a5c1004d0455709402ea336a8700613c1"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a5c1004d0455709402ea336a8700613c1">viennacl::linalg::bicgstab_solver::bicgstab_solver</a></div><div class="ttdeci">bicgstab_solver(bicgstab_tag const &tag)</div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00543">bicgstab.hpp:543</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__tag_html_ae9b443f19008be336b0ed340f975df8e"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae9b443f19008be336b0ed340f975df8e">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00063">bicgstab.hpp:63</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="classviennacl_1_1linalg_1_1bicgstab__tag_html_a4ff7f891d0269068045a058af5f114fb"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a4ff7f891d0269068045a058af5f114fb">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00060">bicgstab.hpp:60</a></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="tests_2src_2bisect_8cpp_html_a52b5d30a2d7b064678644a3bf49b7f6c"><div class="ttname"><a href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a></div><div class="ttdeci">float NumericT</div><div class="ttdef"><b>Definition:</b> <a href="tests_2src_2bisect_8cpp_source.html#l00040">bisect.cpp:40</a></div></div>
<div class="ttc" id="namespaceviennacl_1_1linalg_html_a793be26a151c2fa6c7478143cdc75bfe"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a793be26a151c2fa6c7478143cdc75bfe">viennacl::linalg::pipelined_bicgstab_vector_update</a></div><div class="ttdeci">void pipelined_bicgstab_vector_update(vector_base< NumericT > &result, NumericT alpha, vector_base< NumericT > &p, NumericT omega, vector_base< NumericT > const &s, vector_base< NumericT > &residual, vector_base< NumericT > const &As, NumericT beta, vector_base< NumericT > const &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size)</div><div class="ttdoc">Performs a joint vector update operation needed for an efficient pipelined BiCGStab algorithm...</div><div class="ttdef"><b>Definition:</b> <a href="iterative__operations_8hpp_source.html#l00171">iterative_operations.hpp:171</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="classviennacl_1_1linalg_1_1bicgstab__solver_html_a67f0a5bfe6fa2c9eb4c9208c16ff7a55"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a67f0a5bfe6fa2c9eb4c9208c16ff7a55">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00560">bicgstab.hpp:560</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="traits_2context_8hpp_html"><div class="ttname"><a href="traits_2context_8hpp.html">context.hpp</a></div><div class="ttdoc">Extracts the underlying context from objects. </div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__solver_html_a2c449622483a017fefa5c5577c06d777"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a2c449622483a017fefa5c5577c06d777">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00578">bicgstab.hpp:578</a></div></div>
<div class="ttc" id="classviennacl_1_1vector__base_html"><div class="ttname"><a href="classviennacl_1_1vector__base.html">viennacl::vector_base< NumericT ></a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__solver_html_a231ed1c548dcac0ea4488728b60a5d55"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a231ed1c548dcac0ea4488728b60a5d55">viennacl::linalg::bicgstab_solver::tag</a></div><div class="ttdeci">bicgstab_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="bicgstab_8hpp_source.html#l00585">bicgstab.hpp:585</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_1bicgstab__tag_html_a76082b65db899f8c3caa6c88ac521d2d"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a76082b65db899f8c3caa6c88ac521d2d">viennacl::linalg::bicgstab_tag::max_iterations</a></div><div class="ttdeci">vcl_size_t max_iterations() const </div><div class="ttdoc">Returns the maximum number of iterations. </div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00068">bicgstab.hpp:68</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="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_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="namespaceviennacl_1_1linalg_html_ab66c2c1f1a8eb05b116d9b1274243b38"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#ab66c2c1f1a8eb05b116d9b1274243b38">viennacl::linalg::pipelined_bicgstab_prod</a></div><div class="ttdeci">void pipelined_bicgstab_prod(MatrixT const &A, vector_base< NumericT > const &p, vector_base< NumericT > &Ap, vector_base< NumericT > const &r0star, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)</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#l00208">iterative_operations.hpp:208</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__solver_html_a2caa74c19a4dc8f7971cbfca0001c633"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a2caa74c19a4dc8f7971cbfca0001c633">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00569">bicgstab.hpp:569</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_1bicgstab__solver_html_a1b6e5de91efd44b26d40c01299ac9d97"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a1b6e5de91efd44b26d40c01299ac9d97">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00541">bicgstab.hpp:541</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_1linalg_1_1bicgstab__tag_html_ae754df0db427358379b7b8999543412b"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#ae754df0db427358379b7b8999543412b">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00079">bicgstab.hpp:79</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_1bicgstab__tag_html_a698a971a09428cf17372c7a079abb606"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a698a971a09428cf17372c7a079abb606">viennacl::linalg::bicgstab_tag::iters</a></div><div class="ttdeci">vcl_size_t iters() const </div><div class="ttdoc">Return the number of solver iterations: </div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00073">bicgstab.hpp:73</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="namespaceviennacl_1_1linalg_html_a53f4ef640389f9a074761824cb29ac43"><div class="ttname"><a href="namespaceviennacl_1_1linalg.html#a53f4ef640389f9a074761824cb29ac43">viennacl::linalg::pipelined_bicgstab_update_s</a></div><div class="ttdeci">void pipelined_bicgstab_update_s(vector_base< NumericT > &s, vector_base< NumericT > &r, vector_base< NumericT > const &Ap, vector_base< NumericT > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)</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#l00134">iterative_operations.hpp:134</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__tag_html_a3049c776a046fecd85cfe516ea0f0b90"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html#a3049c776a046fecd85cfe516ea0f0b90">viennacl::linalg::bicgstab_tag::iters</a></div><div class="ttdeci">void iters(vcl_size_t i) const </div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00074">bicgstab.hpp:74</a></div></div>
<div class="ttc" id="classviennacl_1_1linalg_1_1bicgstab__tag_html"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a></div><div class="ttdoc">A tag for the stabilized Bi-conjugate gradient solver. Used for supplying solver parameters and for d...</div><div class="ttdef"><b>Definition:</b> <a href="bicgstab_8hpp_source.html#l00047">bicgstab.hpp:47</a></div></div>
<div class="ttc" id="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="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_1bicgstab__solver_html_a737445625602eb4e77d52ab8350df603"><div class="ttname"><a href="classviennacl_1_1linalg_1_1bicgstab__solver.html#a737445625602eb4e77d52ab8350df603">viennacl::linalg::bicgstab_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="bicgstab_8hpp_source.html#l00546">bicgstab.hpp:546</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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