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<div class="title">iterative_operations.hpp File Reference</div> </div>
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<p>Implementations of specialized routines for the iterative solvers.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include "<a class="el" href="forwards_8h_source.html">viennacl/forwards.h</a>"</code><br/>
<code>#include "<a class="el" href="range_8hpp_source.html">viennacl/range.hpp</a>"</code><br/>
<code>#include "<a class="el" href="scalar_8hpp_source.html">viennacl/scalar.hpp</a>"</code><br/>
<code>#include "<a class="el" href="tools_8hpp_source.html">viennacl/tools/tools.hpp</a>"</code><br/>
<code>#include "<a class="el" href="predicate_8hpp_source.html">viennacl/meta/predicate.hpp</a>"</code><br/>
<code>#include "<a class="el" href="enable__if_8hpp_source.html">viennacl/meta/enable_if.hpp</a>"</code><br/>
<code>#include "<a class="el" href="size_8hpp_source.html">viennacl/traits/size.hpp</a>"</code><br/>
<code>#include "<a class="el" href="start_8hpp_source.html">viennacl/traits/start.hpp</a>"</code><br/>
<code>#include "<a class="el" href="traits_2handle_8hpp_source.html">viennacl/traits/handle.hpp</a>"</code><br/>
<code>#include "<a class="el" href="stride_8hpp_source.html">viennacl/traits/stride.hpp</a>"</code><br/>
<code>#include "<a class="el" href="host__based_2iterative__operations_8hpp_source.html">viennacl/linalg/host_based/iterative_operations.hpp</a>"</code><br/>
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<p><a href="iterative__operations_8hpp_source.html">Go to the source code of this file.</a></p>
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<tr class="memdesc:namespaceviennacl"><td class="mdescLeft"> </td><td class="mdescRight">Main namespace in ViennaCL. Holds all the basic types such as vector, matrix, etc. and defines operations upon them. <br/></td></tr>
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<tr class="memitem:namespaceviennacl_1_1linalg"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html">viennacl::linalg</a></td></tr>
<tr class="memdesc:namespaceviennacl_1_1linalg"><td class="mdescLeft"> </td><td class="mdescRight">Provides all linear algebra operations which are not covered by operator overloads. <br/></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ad5aba6fa27cb6e14b04f527c64a10196"><td class="memTemplParams" colspan="2">template<typename NumericT > </td></tr>
<tr class="memitem:ad5aba6fa27cb6e14b04f527c64a10196"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#ad5aba6fa27cb6e14b04f527c64a10196">viennacl::linalg::pipelined_cg_vector_update</a> (vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &result, <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> alpha, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &p, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &r, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &Ap, <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> beta, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &inner_prod_buffer)</td></tr>
<tr class="memdesc:ad5aba6fa27cb6e14b04f527c64a10196"><td class="mdescLeft"> </td><td class="mdescRight">Performs a joint vector update operation needed for an efficient pipelined CG algorithm. <a href="#ad5aba6fa27cb6e14b04f527c64a10196">More...</a><br/></td></tr>
<tr class="separator:ad5aba6fa27cb6e14b04f527c64a10196"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1cde61c393aa96dbf2fe6f32462b18c0"><td class="memTemplParams" colspan="2">template<typename MatrixT , typename NumericT > </td></tr>
<tr class="memitem:a1cde61c393aa96dbf2fe6f32462b18c0"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#a1cde61c393aa96dbf2fe6f32462b18c0">viennacl::linalg::pipelined_cg_prod</a> (MatrixT const &A, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &p, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &Ap, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &inner_prod_buffer)</td></tr>
<tr class="memdesc:a1cde61c393aa96dbf2fe6f32462b18c0"><td class="mdescLeft"> </td><td class="mdescRight">Performs a joint vector update operation needed for an efficient pipelined CG algorithm. <a href="#a1cde61c393aa96dbf2fe6f32462b18c0">More...</a><br/></td></tr>
<tr class="separator:a1cde61c393aa96dbf2fe6f32462b18c0"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a53f4ef640389f9a074761824cb29ac43"><td class="memTemplParams" colspan="2">template<typename NumericT > </td></tr>
<tr class="memitem:a53f4ef640389f9a074761824cb29ac43"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#a53f4ef640389f9a074761824cb29ac43">viennacl::linalg::pipelined_bicgstab_update_s</a> (vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &s, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &r, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &Ap, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)</td></tr>
<tr class="memdesc:a53f4ef640389f9a074761824cb29ac43"><td class="mdescLeft"> </td><td class="mdescRight">Performs a joint vector update operation needed for an efficient pipelined CG algorithm. <a href="#a53f4ef640389f9a074761824cb29ac43">More...</a><br/></td></tr>
<tr class="separator:a53f4ef640389f9a074761824cb29ac43"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a793be26a151c2fa6c7478143cdc75bfe"><td class="memTemplParams" colspan="2">template<typename NumericT > </td></tr>
<tr class="memitem:a793be26a151c2fa6c7478143cdc75bfe"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#a793be26a151c2fa6c7478143cdc75bfe">viennacl::linalg::pipelined_bicgstab_vector_update</a> (vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &result, <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> alpha, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &p, <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> omega, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &s, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &residual, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &As, <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> beta, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &Ap, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &r0star, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &inner_prod_buffer, vcl_size_t buffer_chunk_size)</td></tr>
<tr class="memdesc:a793be26a151c2fa6c7478143cdc75bfe"><td class="mdescLeft"> </td><td class="mdescRight">Performs a joint vector update operation needed for an efficient pipelined BiCGStab algorithm. <a href="#a793be26a151c2fa6c7478143cdc75bfe">More...</a><br/></td></tr>
<tr class="separator:a793be26a151c2fa6c7478143cdc75bfe"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab66c2c1f1a8eb05b116d9b1274243b38"><td class="memTemplParams" colspan="2">template<typename MatrixT , typename NumericT > </td></tr>
<tr class="memitem:ab66c2c1f1a8eb05b116d9b1274243b38"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#ab66c2c1f1a8eb05b116d9b1274243b38">viennacl::linalg::pipelined_bicgstab_prod</a> (MatrixT const &A, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &p, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &Ap, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > const &r0star, vector_base< <a class="el" href="tests_2src_2bisect_8cpp.html#a52b5d30a2d7b064678644a3bf49b7f6c">NumericT</a> > &inner_prod_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)</td></tr>
<tr class="memdesc:ab66c2c1f1a8eb05b116d9b1274243b38"><td class="mdescLeft"> </td><td class="mdescRight">Performs a joint vector update operation needed for an efficient pipelined CG algorithm. <a href="#ab66c2c1f1a8eb05b116d9b1274243b38">More...</a><br/></td></tr>
<tr class="separator:ab66c2c1f1a8eb05b116d9b1274243b38"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aaca868298580acb7df97aff002bf6867"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr class="memitem:aaca868298580acb7df97aff002bf6867"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#aaca868298580acb7df97aff002bf6867">viennacl::linalg::pipelined_gmres_normalize_vk</a> (vector_base< T > &v_k, vector_base< T > const &residual, vector_base< T > &R_buffer, vcl_size_t offset_in_R, vector_base< T > const &inner_prod_buffer, vector_base< T > &r_dot_vk_buffer, vcl_size_t buffer_chunk_size, vcl_size_t buffer_chunk_offset)</td></tr>
<tr class="memdesc:aaca868298580acb7df97aff002bf6867"><td class="mdescLeft"> </td><td class="mdescRight">Performs a vector normalization needed for an efficient pipelined GMRES algorithm. <a href="#aaca868298580acb7df97aff002bf6867">More...</a><br/></td></tr>
<tr class="separator:aaca868298580acb7df97aff002bf6867"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a26e6e73c2c27a83fa958ca25e468b8ad"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr class="memitem:a26e6e73c2c27a83fa958ca25e468b8ad"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#a26e6e73c2c27a83fa958ca25e468b8ad">viennacl::linalg::pipelined_gmres_gram_schmidt_stage1</a> (vector_base< T > const &device_krylov_basis, vcl_size_t v_k_size, vcl_size_t v_k_internal_size, vcl_size_t k, vector_base< T > &vi_in_vk_buffer, vcl_size_t buffer_chunk_size)</td></tr>
<tr class="memdesc:a26e6e73c2c27a83fa958ca25e468b8ad"><td class="mdescLeft"> </td><td class="mdescRight">Computes the first reduction stage for multiple inner products <v_i, v_k>, i=0..k-1. <a href="#a26e6e73c2c27a83fa958ca25e468b8ad">More...</a><br/></td></tr>
<tr class="separator:a26e6e73c2c27a83fa958ca25e468b8ad"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a39b768f9d8385b980d2e5e9073d09530"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr class="memitem:a39b768f9d8385b980d2e5e9073d09530"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#a39b768f9d8385b980d2e5e9073d09530">viennacl::linalg::pipelined_gmres_gram_schmidt_stage2</a> (vector_base< T > &device_krylov_basis, vcl_size_t v_k_size, vcl_size_t v_k_internal_size, vcl_size_t k, vector_base< T > const &vi_in_vk_buffer, vector_base< T > &R_buffer, vcl_size_t krylov_dim, vector_base< T > &inner_prod_buffer, vcl_size_t buffer_chunk_size)</td></tr>
<tr class="memdesc:a39b768f9d8385b980d2e5e9073d09530"><td class="mdescLeft"> </td><td class="mdescRight">Computes the second reduction stage for multiple inner products <v_i, v_k>, i=0..k-1, then updates v_k -= <v_i, v_k> v_i and computes the first reduction stage for ||v_k||. <a href="#a39b768f9d8385b980d2e5e9073d09530">More...</a><br/></td></tr>
<tr class="separator:a39b768f9d8385b980d2e5e9073d09530"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8783d68cc82f47d4862d7bb77bed2bab"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
<tr class="memitem:a8783d68cc82f47d4862d7bb77bed2bab"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#a8783d68cc82f47d4862d7bb77bed2bab">viennacl::linalg::pipelined_gmres_update_result</a> (vector_base< T > &result, vector_base< T > const &residual, vector_base< T > const &krylov_basis, vcl_size_t v_k_size, vcl_size_t v_k_internal_size, vector_base< T > const &coefficients, vcl_size_t k)</td></tr>
<tr class="memdesc:a8783d68cc82f47d4862d7bb77bed2bab"><td class="mdescLeft"> </td><td class="mdescRight">Computes x += eta_0 r + sum_{i=1}^{k-1} eta_i v_{i-1}. <a href="#a8783d68cc82f47d4862d7bb77bed2bab">More...</a><br/></td></tr>
<tr class="separator:a8783d68cc82f47d4862d7bb77bed2bab"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a6faa475e03dfe776021e91f5a66f9319"><td class="memTemplParams" colspan="2">template<typename MatrixType , typename T > </td></tr>
<tr class="memitem:a6faa475e03dfe776021e91f5a66f9319"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceviennacl_1_1linalg.html#a6faa475e03dfe776021e91f5a66f9319">viennacl::linalg::pipelined_gmres_prod</a> (MatrixType const &A, vector_base< T > const &p, vector_base< T > &Ap, vector_base< T > &inner_prod_buffer)</td></tr>
<tr class="memdesc:a6faa475e03dfe776021e91f5a66f9319"><td class="mdescLeft"> </td><td class="mdescRight">Performs a joint vector update operation needed for an efficient pipelined GMRES algorithm. <a href="#a6faa475e03dfe776021e91f5a66f9319">More...</a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementations of specialized routines for the iterative solvers. </p>
<p>Definition in file <a class="el" href="iterative__operations_8hpp_source.html">iterative_operations.hpp</a>.</p>
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