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<div class="headertitle"><div class="title">ditersol1.c File Reference<div class="ingroups"><a class="el" href="group__Example.html">Example</a></div></div></div>
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<p>Example #2 showing how to use ILU to precondition GMRES.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include "<a class="el" href="slu__ddefs_8h_source.html">slu_ddefs.h</a>"</code><br />
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Functions</h2></td></tr>
<tr class="memitem:a0361a1766c36ff38205dc63f1b329afd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ditersol1_8c.html#a0361a1766c36ff38205dc63f1b329afd">dpsolve</a> (int n, double x[], double y[])</td></tr>
<tr class="memdesc:a0361a1766c36ff38205dc63f1b329afd"><td class="mdescLeft"> </td><td class="mdescRight">Performs DGSISX with original matrix A. <a href="ditersol1_8c.html#a0361a1766c36ff38205dc63f1b329afd">More...</a><br /></td></tr>
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<tr class="memitem:a367b39a8f8095885ffb10c66c6652aff"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="ditersol1_8c.html#a367b39a8f8095885ffb10c66c6652aff">dmatvec_mult</a> (double alpha, double x[], double beta, double y[])</td></tr>
<tr class="memdesc:a367b39a8f8095885ffb10c66c6652aff"><td class="mdescLeft"> </td><td class="mdescRight">Performs matrix-vector multipliation sp_dgemv with original matrix A. <a href="ditersol1_8c.html#a367b39a8f8095885ffb10c66c6652aff">More...</a><br /></td></tr>
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<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="ditersol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
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Variables</h2></td></tr>
<tr class="memitem:a869338b25a186a486edd0cf1850a7fbb"><td class="memItemLeft" align="right" valign="top">char * </td><td class="memItemRight" valign="bottom"><a class="el" href="ditersol1_8c.html#a869338b25a186a486edd0cf1850a7fbb">GLOBAL_EQUED</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >This example shows that ILU is computed from the equilibrated matrix, but the preconditioned GMRES is applied to the original system. The driver routine DGSISX is called twice to perform factorization and apply preconditioner separately.</p>
<p >Note that DGSISX performs the following factorization: Pr*Dr*A*Dc*Pc^T ~= LU with Pr being obtained from MC64 statically then partial pivoting dynamically. On return, A is overwritten as A1 = Dr*A*Dc.</p>
<p >We need to save a copy of the original matrix A, then solve the original system, A*x = B, using FGMRES. Each GMRES step requires requires 2 procedures: 1) Apply preconditioner M^{-1} = Dc*Pc^T*U^{-1}*L^{-1}*Pr*Dr 2) Matrix-vector multiplication: w = A*v </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a367b39a8f8095885ffb10c66c6652aff" name="a367b39a8f8095885ffb10c66c6652aff"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a367b39a8f8095885ffb10c66c6652aff">◆ </a></span>dmatvec_mult()</h2>
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<td class="memname">void dmatvec_mult </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"><em>alpha</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double </td>
<td class="paramname"><em>x</em>[], </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double </td>
<td class="paramname"><em>beta</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double </td>
<td class="paramname"><em>y</em>[] </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<p >The operations is y := alpha*A*x + beta*y. See documentation of sp_dgemv for further details.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">alpha</td><td>Scalar factor for A*x </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Vector to multiply with A </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">beta</td><td>Scalar factor for y </td></tr>
<tr><td class="paramdir">[in,out]</td><td class="paramname">y</td><td>Vector to add to to matrix-vector multiplication and storage for result. </td></tr>
</table>
</dd>
</dl>
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<a id="a0361a1766c36ff38205dc63f1b329afd" name="a0361a1766c36ff38205dc63f1b329afd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0361a1766c36ff38205dc63f1b329afd">◆ </a></span>dpsolve()</h2>
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<td class="memname">void dpsolve </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"><em>n</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double </td>
<td class="paramname"><em>x</em>[], </td>
</tr>
<tr>
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<td></td>
<td class="paramtype">double </td>
<td class="paramname"><em>y</em>[] </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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<p >See documentation of dgsisx for more details.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>Dimension of matrices </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">x</td><td>Solution </td></tr>
<tr><td class="paramdir">[in,out]</td><td class="paramname">y</td><td>Right-hand side </td></tr>
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</dd>
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<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"><em>argc</em>, </td>
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<td class="paramtype">char * </td>
<td class="paramname"><em>argv</em>[] </td>
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<td>)</td>
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<h2 class="groupheader">Variable Documentation</h2>
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<td class="memname"><a class="el" href="structSuperMatrix.html">SuperMatrix</a>* GLOBAL_A</td>
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<td class="memname">double * GLOBAL_C</td>
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<td class="memname"><a class="el" href="structmem__usage__t.html">mem_usage_t</a>* GLOBAL_MEM_USAGE</td>
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<h2 class="memtitle"><span class="permalink"><a href="#afbcb1904a71d92b04c1aef1cede6c4b1">◆ </a></span>GLOBAL_PERM_C</h2>
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<td class="memname">int* GLOBAL_PERM_C</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a5a42ee721355f1c852f770661834be93">◆ </a></span>GLOBAL_PERM_R</h2>
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<td class="memname">int * GLOBAL_PERM_R</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a8cb83de814c7fbf89011ba08bb602ce0">◆ </a></span>GLOBAL_R</h2>
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<td class="memname">double* GLOBAL_R</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a96a062252c26544370e8feae987c6d16">◆ </a></span>GLOBAL_STAT</h2>
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<td class="memname"><a class="el" href="structSuperLUStat__t.html">SuperLUStat_t</a>* GLOBAL_STAT</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a000ad5c2198e4309802b4478ed08a98c">◆ </a></span>GLOBAL_U</h2>
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<td class="memname"><a class="el" href="structSuperMatrix.html">SuperMatrix</a> * GLOBAL_U</td>
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