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<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Chapter Contents<br/><br/>F11 &#8211; Large Scale Linear Systems</h1>
<h3 class="standard"><a class="chapint" href="../F11/f11intro.xml">F11 Chapter Introduction</a></h3>
<div class="left-tablediv"><table class="contents"><tbody>
<tr>
<td class="contents" valign="top" align="left"><b>Routine<br/>Name</b></td>
<td class="contents" valign="top" align="center"><b>Mark of<br/>Introduction</b></td>
<td class="contents" valign="top" align="left"><br/><b>Purpose</b></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11bdf.xml">F11BDF</a>
<br/><a class="tocexample" href="../../examples/source/f11bdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11bdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric linear systems, setup for <a class="rout" href="../F11/f11bef.xml">F11BEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11bef.xml">F11BEF</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11bff.xml">F11BFF</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric linear systems, diagnostic for <a class="rout" href="../F11/f11bef.xml">F11BEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11brf.xml">F11BRF</a>
<br/><a class="tocexample" href="../../examples/source/f11brfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11brfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse non-Hermitian linear systems, setup for <a class="rout" href="../F11/f11bsf.xml">F11BSF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11bsf.xml">F11BSF</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse non-Hermitian linear systems, preconditioned RGMRES, CGS, Bi-CGSTAB or TFQMR method</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11btf.xml">F11BTF</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse non-Hermitian linear systems, diagnostic for <a class="rout" href="../F11/f11bsf.xml">F11BSF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11daf.xml">F11DAF</a>
<br/><a class="tocexample" href="../../examples/source/f11dafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric linear systems, incomplete <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dbf.xml">F11DBF</a>
<br/><a class="tocexample" href="../../examples/source/f11dbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Solution of linear system involving incomplete <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;preconditioning matrix generated by <a class="rout" href="../F11/f11daf.xml">F11DAF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dcf.xml">F11DCF</a>
<br/><a class="tocexample" href="../../examples/source/f11dcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by <a class="rout" href="../F11/f11daf.xml">F11DAF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11ddf.xml">F11DDF</a>
<br/><a class="tocexample" href="../../examples/source/f11ddfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11ddfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse nonsymmetric matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11def.xml">F11DEF</a>
<br/><a class="tocexample" href="../../examples/source/f11defe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11defe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Solution of real sparse nonsymmetric linear system, RGMRES, CGS, Bi-CGSTAB, or TFQMR method, Jacobi or SSOR preconditioner (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dkf.xml">F11DKF</a>
<br/><a class="tocexample" href="../../examples/source/f11dkfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dkfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric linear systems, line Jacobi preconditioner</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dnf.xml">F11DNF</a>
<br/><a class="tocexample" href="../../examples/source/f11dnfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse non-Hermitian linear systems, incomplete <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dpf.xml">F11DPF</a>
<br/><a class="tocexample" href="../../examples/source/f11dpfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of complex linear system involving incomplete <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;preconditioning matrix generated by <a class="rout" href="../F11/f11dnf.xml">F11DNF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dqf.xml">F11DQF</a>
<br/><a class="tocexample" href="../../examples/source/f11dqfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dqfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, preconditioner computed by <a class="rout" href="../F11/f11dnf.xml">F11DNF</a> (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11drf.xml">F11DRF</a>
<br/><a class="tocexample" href="../../examples/source/f11drfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11drfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse non-Hermitian matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dsf.xml">F11DSF</a>
<br/><a class="tocexample" href="../../examples/source/f11dsfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of complex sparse non-Hermitian linear system, RGMRES, CGS, Bi-CGSTAB or TFQMR method, Jacobi or SSOR preconditioner Black Box</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11dxf.xml">F11DXF</a>
<br/><a class="tocexample" href="../../examples/source/f11dxfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11dxfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Complex sparse nonsymmetric linear systems, line Jacobi preconditioner</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11gdf.xml">F11GDF</a>
<br/><a class="tocexample" href="../../examples/source/f11gdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11gdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Real sparse symmetric linear systems, setup for <a class="rout" href="../F11/f11gef.xml">F11GEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11gef.xml">F11GEF</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11gff.xml">F11GFF</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Real sparse symmetric linear systems, diagnostic for <a class="rout" href="../F11/f11gef.xml">F11GEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11grf.xml">F11GRF</a>
<br/><a class="tocexample" href="../../examples/source/f11grfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11grfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Complex sparse Hermitian linear systems, setup for <a class="rout" href="../F11/f11gsf.xml">F11GSF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11gsf.xml">F11GSF</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Complex sparse Hermitian linear systems, preconditioned conjugate gradient or Lanczos</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11gtf.xml">F11GTF</a></td>
<td class="contentsdoc" valign="top" align="center">20</td>
<td class="contentsdoc" valign="top">Complex sparse Hermitian linear systems, diagnostic for <a class="rout" href="../F11/f11gsf.xml">F11GSF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jaf.xml">F11JAF</a>
<br/><a class="tocexample" href="../../examples/source/f11jafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Real sparse symmetric matrix, incomplete Cholesky factorization</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jbf.xml">F11JBF</a>
<br/><a class="tocexample" href="../../examples/source/f11jbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Solution of linear system involving incomplete Cholesky preconditioning matrix generated by <a class="rout" href="../F11/f11jaf.xml">F11JAF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jcf.xml">F11JCF</a>
<br/><a class="tocexample" href="../../examples/source/f11jcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, preconditioner computed by <a class="rout" href="../F11/f11jaf.xml">F11JAF</a> (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jdf.xml">F11JDF</a>
<br/><a class="tocexample" href="../../examples/source/f11jdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jef.xml">F11JEF</a>
<br/><a class="tocexample" href="../../examples/source/f11jefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Solution of real sparse symmetric linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jnf.xml">F11JNF</a>
<br/><a class="tocexample" href="../../examples/source/f11jnfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse Hermitian matrix, incomplete Cholesky factorization</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jpf.xml">F11JPF</a>
<br/><a class="tocexample" href="../../examples/source/f11jpfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of complex linear system involving incomplete Cholesky preconditioning matrix generated by <a class="rout" href="../F11/f11jnf.xml">F11JNF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jqf.xml">F11JQF</a>
<br/><a class="tocexample" href="../../examples/source/f11jqfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jqfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by <a class="rout" href="../F11/f11jnf.xml">F11JNF</a> (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jrf.xml">F11JRF</a>
<br/><a class="tocexample" href="../../examples/source/f11jrfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jrfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse Hermitian matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11jsf.xml">F11JSF</a>
<br/><a class="tocexample" href="../../examples/source/f11jsfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11jsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mdf.xml">F11MDF</a>
<br/><a class="tocexample" href="../../examples/source/f11mdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric
linear systems, setup for <a class="rout" href="../F11/f11mef.xml">F11MEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mef.xml">F11MEF</a>
<br/><a class="tocexample" href="../../examples/source/f11mefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization of real sparse matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mff.xml">F11MFF</a>
<br/><a class="tocexample" href="../../examples/source/f11mffe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mffe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Solution of real sparse simultaneous linear equations (coefficient matrix already factorized)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mgf.xml">F11MGF</a>
<br/><a class="tocexample" href="../../examples/source/f11mgfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Estimate condition number of real matrix, matrix already factorized by <a class="rout" href="../F11/f11mef.xml">F11MEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mhf.xml">F11MHF</a>
<br/><a class="tocexample" href="../../examples/source/f11mhfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Refined solution with error bounds of real system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mkf.xml">F11MKF</a>
<br/><a class="tocexample" href="../../examples/source/f11mkfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mkfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric matrix-matrix multiply, compressed column storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mlf.xml">F11MLF</a>
<br/><a class="tocexample" href="../../examples/source/f11mlfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mlfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><m:math><m:mn>1</m:mn></m:math>-norm, <m:math><m:mi>&#8734;</m:mi></m:math>-norm, largest absolute element, real general matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11mmf.xml">F11MMF</a>
<br/><a class="tocexample" href="../../examples/source/f11mmfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11mmfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric linear systems, diagnostic for <a class="rout" href="../F11/f11mef.xml">F11MEF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11xaf.xml">F11XAF</a>
<br/><a class="tocexample" href="../../examples/source/f11xafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11xafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric matrix vector multiply</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11xef.xml">F11XEF</a>
<br/><a class="tocexample" href="../../examples/source/f11xefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11xefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Real sparse symmetric matrix vector multiply</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11xnf.xml">F11XNF</a>
<br/><a class="tocexample" href="../../examples/source/f11xnfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11xnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse non-Hermitian matrix vector multiply</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11xsf.xml">F11XSF</a>
<br/><a class="tocexample" href="../../examples/source/f11xsfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11xsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse Hermitian matrix vector multiply</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11zaf.xml">F11ZAF</a>
<br/><a class="tocexample" href="../../examples/source/f11zafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11zafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">18</td>
<td class="contentsdoc" valign="top">Real sparse nonsymmetric matrix reorder routine</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11zbf.xml">F11ZBF</a>
<br/><a class="tocexample" href="../../examples/source/f11zbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11zbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Real sparse symmetric matrix reorder routine</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11znf.xml">F11ZNF</a>
<br/><a class="tocexample" href="../../examples/source/f11znfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11znfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse non-Hermitian matrix reorder routine</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F11/f11zpf.xml">F11ZPF</a>
<br/><a class="tocexample" href="../../examples/source/f11zpfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f11zpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">19</td>
<td class="contentsdoc" valign="top">Complex sparse Hermitian matrix reorder routine</td>
</tr>
</tbody>
</table></div><hr/><div><a class="chap" href="../../pdf/F11/f11conts.pdf">F11 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="f11intro.xml">F11 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div>
<div><hr/><a class="genint" href="../FRONTMATTER/copyright.xml">&#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2009</a></div></body></html>
