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<div id="projectname">ViennaCL - The Vienna Computing Library
 <span id="projectnumber">1.7.1</span>
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<div id="projectbrief">Free open-source GPU-accelerated linear algebra and solver library.</div>
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<div class="title">iterative-ublas.cpp</div> </div>
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<p>In this example we show how one can use the iterative solvers in ViennaCL with objects from Boost.uBLAS.</p>
<p>The first step is to include the necessary headers: </p>
<div class="fragment"><div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// include necessary system headers</span></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// Necessary to obtain a suitable performance in ublas</span></div>
<div class="line"><span class="preprocessor">#ifndef NDEBUG</span></div>
<div class="line"><span class="preprocessor"> #define BOOST_UBLAS_NDEBUG</span></div>
<div class="line"><span class="preprocessor">#endif</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// ublas includes</span></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/io.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/triangular.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/matrix_sparse.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/matrix.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/matrix_proxy.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/operation.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/operation_sparse.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/io.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/lu.hpp></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// Must be set if you want to use ViennaCL algorithms on ublas objects</span></div>
<div class="line"><span class="preprocessor">#define VIENNACL_WITH_UBLAS 1</span></div>
<div class="line"></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// ViennaCL includes</span></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="bicgstab_8hpp.html">viennacl/linalg/bicgstab.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="gmres_8hpp.html">viennacl/linalg/gmres.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix__market_8hpp.html">viennacl/io/matrix_market.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// Some helper functions for this tutorial:</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="vector-io_8hpp.html">vector-io.hpp</a>"</span></div>
</div><!-- fragment --><p> A shortcut for convience (use <code>ublas::</code> instead of <code>boost::numeric::ublas::</code>) </p>
<div class="fragment"><div class="line"><span class="keyword">using namespace </span>boost::numeric;</div>
</div><!-- fragment --><p> In the <a class="el" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main()</a> routine we create matrices and vectors using Boost.uBLAS types, fill them with data and launch the iterative solvers. </p>
<div class="fragment"><div class="line"><span class="keywordtype">int</span> <a name="a0"></a><a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line">{</div>
<div class="line"> <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a name="a1"></a><a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"></div>
<div class="line"> <span class="comment">//</span></div>
<div class="line"> <span class="comment">// Set up some ublas objects</span></div>
<div class="line"> <span class="comment">//</span></div>
<div class="line"> ublas::vector<ScalarType> rhs;</div>
<div class="line"> ublas::vector<ScalarType> ref_result;</div>
<div class="line"> ublas::vector<ScalarType> result;</div>
<div class="line"> ublas::compressed_matrix<ScalarType> ublas_matrix;</div>
</div><!-- fragment --><p> Read system from matrix-market file </p>
<div class="fragment"><div class="line"><span class="keywordflow">if</span> (!<a name="a2"></a><a class="code" href="namespaceviennacl_1_1io.html#ad934125ed3dbe661e264bcd7d62b1048">viennacl::io::read_matrix_market_file</a>(ublas_matrix, <span class="stringliteral">"../examples/testdata/mat65k.mtx"</span>))</div>
<div class="line">{</div>
<div class="line"> std::cout << <span class="stringliteral">"Error reading Matrix file"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line">}</div>
</div><!-- fragment --><p> Read associated vectors from files </p>
<div class="fragment"><div class="line"><span class="keywordflow">if</span> (!<a name="a3"></a><a class="code" href="vector-io_8hpp.html#a303954a45833b84192a6dcf3065f85e3">readVectorFromFile</a>(<span class="stringliteral">"../examples/testdata/rhs65025.txt"</span>, rhs))</div>
<div class="line">{</div>
<div class="line"> std::cout << <span class="stringliteral">"Error reading RHS file"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line">}</div>
<div class="line"><span class="comment">//std::cout << "done reading rhs" << std::endl;</span></div>
<div class="line"></div>
<div class="line"><span class="keywordflow">if</span> (!<a class="code" href="vector-io_8hpp.html#a303954a45833b84192a6dcf3065f85e3">readVectorFromFile</a>(<span class="stringliteral">"../examples/testdata/result65025.txt"</span>, ref_result))</div>
<div class="line">{</div>
<div class="line"> std::cout << <span class="stringliteral">"Error reading Result file"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line">}</div>
<div class="line"><span class="comment">//std::cout << "done reading result" << std::endl;</span></div>
</div><!-- fragment --><p> Set up ILUT preconditioners for ViennaCL and ublas objects. Other preconditioners can also be used, see <a class="el" href="manual-algorithms.html#manual-algorithms-preconditioners">Preconditioners</a> </p>
<div class="fragment"><div class="line"><a name="_a4"></a><a class="code" href="classviennacl_1_1linalg_1_1ilut__precond.html">viennacl::linalg::ilut_precond< ublas::compressed_matrix<ScalarType></a> > ublas_ilut(ublas_matrix, <a name="_a5"></a><a class="code" href="classviennacl_1_1linalg_1_1ilut__tag.html">viennacl::linalg::ilut_tag</a>());</div>
<div class="line"><a name="_a6"></a><a class="code" href="classviennacl_1_1linalg_1_1ilu0__precond.html">viennacl::linalg::ilu0_precond< ublas::compressed_matrix<ScalarType></a> > ublas_ilu0(ublas_matrix, <a name="_a7"></a><a class="code" href="classviennacl_1_1linalg_1_1ilu0__tag.html">viennacl::linalg::ilu0_tag</a>());</div>
<div class="line"><a name="_a8"></a><a class="code" href="classviennacl_1_1linalg_1_1block__ilu__precond.html">viennacl::linalg::block_ilu_precond< ublas::compressed_matrix<ScalarType></a>,</div>
<div class="line"> <a class="code" href="classviennacl_1_1linalg_1_1ilu0__tag.html">viennacl::linalg::ilu0_tag</a>> ublas_block_ilu0(ublas_matrix, <a class="code" href="classviennacl_1_1linalg_1_1ilu0__tag.html">viennacl::linalg::ilu0_tag</a>());</div>
</div><!-- fragment --><p> First we run an conjugate gradient solver with different preconditioners: </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"----- CG Test -----"</span> << std::endl;</div>
<div class="line"></div>
<div class="line">result = <a name="a9"></a><a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a name="_a10"></a><a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>());</div>
<div class="line">std::cout << <span class="stringliteral">"Residual norm: "</span> << <a name="a11"></a><a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a name="a12"></a><a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>(1e-6, 20), ublas_ilut);</div>
<div class="line">std::cout << <span class="stringliteral">"Residual norm: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>(1e-6, 20), ublas_ilu0);</div>
<div class="line">std::cout << <span class="stringliteral">"Residual norm: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>(1e-6, 20), ublas_block_ilu0);</div>
<div class="line">std::cout << <span class="stringliteral">"Residual norm: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
</div><!-- fragment --><p> Run the stabilized BiConjugate gradient solver without and with preconditioners (ILUT, ILU0) </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"----- BiCGStab Test -----"</span> << std::endl;</div>
<div class="line"></div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a name="_a13"></a><a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>()); <span class="comment">//without preconditioner</span></div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>(1e-6, 20), ublas_ilut); <span class="comment">//with preconditioner</span></div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>(1e-6, 20), ublas_ilu0); <span class="comment">//with preconditioner</span></div>
</div><!-- fragment --><p> Run the generalized minimum residual method witout and with preconditioners (ILUT, ILU0): </p>
<div class="fragment"><div class="line">std::cout << <span class="stringliteral">"----- GMRES Test -----"</span> << std::endl;</div>
<div class="line"></div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a name="_a14"></a><a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>()); <span class="comment">//without preconditioner</span></div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>(1e-6, 20), ublas_ilut);<span class="comment">//with preconditioner</span></div>
<div class="line">result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>(1e-6, 20), ublas_ilu0);<span class="comment">//with preconditioner</span></div>
</div><!-- fragment --><p> That's it. </p>
<div class="fragment"><div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line">}</div>
</div><!-- fragment --> <h2>Full Example Code</h2>
<div class="fragment"><div class="line"><span class="comment">/* =========================================================================</span></div>
<div class="line"><span class="comment"> Copyright (c) 2010-2016, Institute for Microelectronics,</span></div>
<div class="line"><span class="comment"> Institute for Analysis and Scientific Computing,</span></div>
<div class="line"><span class="comment"> TU Wien.</span></div>
<div class="line"><span class="comment"> Portions of this software are copyright by UChicago Argonne, LLC.</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> -----------------</span></div>
<div class="line"><span class="comment"> ViennaCL - The Vienna Computing Library</span></div>
<div class="line"><span class="comment"> -----------------</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> Project Head: Karl Rupp rupp@iue.tuwien.ac.at</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> (A list of authors and contributors can be found in the PDF manual)</span></div>
<div class="line"><span class="comment"></span></div>
<div class="line"><span class="comment"> License: MIT (X11), see file LICENSE in the base directory</span></div>
<div class="line"><span class="comment">============================================================================= */</span></div>
<div class="line"></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// include necessary system headers</span></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// Necessary to obtain a suitable performance in ublas</span></div>
<div class="line"><span class="preprocessor">#ifndef NDEBUG</span></div>
<div class="line"><span class="preprocessor"> #define BOOST_UBLAS_NDEBUG</span></div>
<div class="line"><span class="preprocessor">#endif</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// ublas includes</span></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/io.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/triangular.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/matrix_sparse.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/matrix.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/matrix_proxy.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/operation.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/operation_sparse.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/io.hpp></span></div>
<div class="line"><span class="preprocessor">#include <boost/numeric/ublas/lu.hpp></span></div>
<div class="line"></div>
<div class="line"><span class="comment">// Must be set if you want to use ViennaCL algorithms on ublas objects</span></div>
<div class="line"><span class="preprocessor">#define VIENNACL_WITH_UBLAS 1</span></div>
<div class="line"></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="comment">// ViennaCL includes</span></div>
<div class="line"><span class="comment">//</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="ilu_8hpp.html">viennacl/linalg/ilu.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="cg_8hpp.html">viennacl/linalg/cg.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="bicgstab_8hpp.html">viennacl/linalg/bicgstab.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="gmres_8hpp.html">viennacl/linalg/gmres.hpp</a>"</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="matrix__market_8hpp.html">viennacl/io/matrix_market.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"><span class="comment">// Some helper functions for this tutorial:</span></div>
<div class="line"><span class="preprocessor">#include "<a class="code" href="vector-io_8hpp.html">vector-io.hpp</a>"</span></div>
<div class="line"></div>
<div class="line"><span class="keyword">using namespace </span>boost::numeric;</div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> <a class="code" href="tests_2src_2bisect_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>()</div>
<div class="line">{</div>
<div class="line"> <span class="keyword">typedef</span> <span class="keywordtype">float</span> <a class="code" href="fft__1d_8cpp.html#ad5c19ca4f47d3f8ec21232a5af2624e5">ScalarType</a>;</div>
<div class="line"></div>
<div class="line"> <span class="comment">//</span></div>
<div class="line"> <span class="comment">// Set up some ublas objects</span></div>
<div class="line"> <span class="comment">//</span></div>
<div class="line"> ublas::vector<ScalarType> rhs;</div>
<div class="line"> ublas::vector<ScalarType> ref_result;</div>
<div class="line"> ublas::vector<ScalarType> result;</div>
<div class="line"> ublas::compressed_matrix<ScalarType> ublas_matrix;</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">if</span> (!<a class="code" href="namespaceviennacl_1_1io.html#ad934125ed3dbe661e264bcd7d62b1048">viennacl::io::read_matrix_market_file</a>(ublas_matrix, <span class="stringliteral">"../examples/testdata/mat65k.mtx"</span>))</div>
<div class="line"> {</div>
<div class="line"> std::cout << <span class="stringliteral">"Error reading Matrix file"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"> }</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">if</span> (!<a class="code" href="vector-io_8hpp.html#a303954a45833b84192a6dcf3065f85e3">readVectorFromFile</a>(<span class="stringliteral">"../examples/testdata/rhs65025.txt"</span>, rhs))</div>
<div class="line"> {</div>
<div class="line"> std::cout << <span class="stringliteral">"Error reading RHS file"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"> }</div>
<div class="line"> <span class="comment">//std::cout << "done reading rhs" << std::endl;</span></div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">if</span> (!<a class="code" href="vector-io_8hpp.html#a303954a45833b84192a6dcf3065f85e3">readVectorFromFile</a>(<span class="stringliteral">"../examples/testdata/result65025.txt"</span>, ref_result))</div>
<div class="line"> {</div>
<div class="line"> std::cout << <span class="stringliteral">"Error reading Result file"</span> << std::endl;</div>
<div class="line"> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"> }</div>
<div class="line"> <span class="comment">//std::cout << "done reading result" << std::endl;</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <a class="code" href="classviennacl_1_1linalg_1_1ilut__precond.html">viennacl::linalg::ilut_precond< ublas::compressed_matrix<ScalarType></a> > ublas_ilut(ublas_matrix, <a class="code" href="classviennacl_1_1linalg_1_1ilut__tag.html">viennacl::linalg::ilut_tag</a>());</div>
<div class="line"> <a class="code" href="classviennacl_1_1linalg_1_1ilu0__precond.html">viennacl::linalg::ilu0_precond< ublas::compressed_matrix<ScalarType></a> > ublas_ilu0(ublas_matrix, <a class="code" href="classviennacl_1_1linalg_1_1ilu0__tag.html">viennacl::linalg::ilu0_tag</a>());</div>
<div class="line"> <a class="code" href="classviennacl_1_1linalg_1_1block__ilu__precond.html">viennacl::linalg::block_ilu_precond< ublas::compressed_matrix<ScalarType></a>,</div>
<div class="line"> <a class="code" href="classviennacl_1_1linalg_1_1ilu0__tag.html">viennacl::linalg::ilu0_tag</a>> ublas_block_ilu0(ublas_matrix, <a class="code" href="classviennacl_1_1linalg_1_1ilu0__tag.html">viennacl::linalg::ilu0_tag</a>());</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"----- CG Test -----"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>());</div>
<div class="line"> std::cout << <span class="stringliteral">"Residual norm: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>(1e-6, 20), ublas_ilut);</div>
<div class="line"> std::cout << <span class="stringliteral">"Residual norm: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>(1e-6, 20), ublas_ilu0);</div>
<div class="line"> std::cout << <span class="stringliteral">"Residual norm: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1cg__tag.html">viennacl::linalg::cg_tag</a>(1e-6, 20), ublas_block_ilu0);</div>
<div class="line"> std::cout << <span class="stringliteral">"Residual norm: "</span> << <a class="code" href="namespaceviennacl_1_1linalg.html#ae46f15d01c01f92a153b3f555a15096b">norm_2</a>(<a class="code" href="sparse__prod_8cpp.html#a2c8637b3d6a972d1d8fd85fb3089c6da">prod</a>(ublas_matrix, result) - rhs) << std::endl;</div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"----- BiCGStab Test -----"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>()); <span class="comment">//without preconditioner</span></div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>(1e-6, 20), ublas_ilut); <span class="comment">//with preconditioner</span></div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1bicgstab__tag.html">viennacl::linalg::bicgstab_tag</a>(1e-6, 20), ublas_ilu0); <span class="comment">//with preconditioner</span></div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"----- GMRES Test -----"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>()); <span class="comment">//without preconditioner</span></div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>(1e-6, 20), ublas_ilut);<span class="comment">//with preconditioner</span></div>
<div class="line"> result = <a class="code" href="namespaceviennacl_1_1linalg.html#a6e9b329b64ac782e6a5687ad2fc47a2a">viennacl::linalg::solve</a>(ublas_matrix, rhs, <a class="code" href="classviennacl_1_1linalg_1_1gmres__tag.html">viennacl::linalg::gmres_tag</a>(1e-6, 20), ublas_ilu0);<span class="comment">//with preconditioner</span></div>
<div class="line"></div>
<div class="line"> std::cout << <span class="stringliteral">"!!!! TUTORIAL COMPLETED SUCCESSFULLY !!!!"</span> << std::endl;</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line">}</div>
<div class="line"></div>
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