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<html xmlns="http://www.w3.org/1999/xhtml" xmlns:dsi="http://www.w3.org/1999/xlink" xmlns:m="http://www.w3.org/1998/Math/MathML" xml:space="preserve"><head><meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"/><title>F07 Chapter Contents : NAG Library Manual, Mark 23</title><link rel="stylesheet" href="../styles/libdoc.css" type="text/css"/></head><body><hr/><div><a class="chap" href="../../pdf/F07/f07conts.pdf">F07 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="f07intro.xml">F07 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Chapter Contents<br/><br/>F07 &#8211; Linear Equations (LAPACK)</h1>
<h3 class="standard"><a class="chapint" href="../F07/f07intro.xml">F07 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="../F07/f07aaf.xml">F07AAF</a>
<br/><a class="tocexample" href="../../examples/source/f07aafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07aafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07aaf.xml">DGESV</a><br/>
<a class="rout" href="../F07/f07aaf.xml">nagf_lapack_dgesv</a><br/>
Computes the solution to a real system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07abf.xml">F07ABF</a>
<br/><a class="tocexample" href="../../examples/source/f07abfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07abfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07abf.xml">DGESVX</a><br/>
<a class="rout" href="../F07/f07abf.xml">nagf_lapack_dgesvx</a><br/>
Uses the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization to compute the solution, error-bound and condition estimate for a real system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07acf.xml">F07ACF</a>
<br/><a class="tocexample" href="../../examples/source/f07acfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07acfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07acf.xml">DSGESV</a><br/>
<a class="rout" href="../F07/f07acf.xml">nagf_lapack_dsgesv</a><br/>
Mixed precision real system solver</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07adf.xml">F07ADF</a>
<br/><a class="tocexample" href="../../examples/source/f07adfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07adfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07adf.xml">DGETRF</a><br/>
<a class="rout" href="../F07/f07adf.xml">nagf_lapack_dgetrf</a><br/>
<m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization of real <m:math><m:mi>m</m:mi></m:math>&#160;by <m:math><m:mi>n</m:mi></m:math>&#160;matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07aef.xml">F07AEF</a>
<br/><a class="tocexample" href="../../examples/source/f07aefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07aefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07aef.xml">DGETRS</a><br/>
<a class="rout" href="../F07/f07aef.xml">nagf_lapack_dgetrs</a><br/>
Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07adf.xml">F07ADF (DGETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07aff.xml">F07AFF</a>
<br/><a class="tocexample" href="../../examples/source/f07affe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07affe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07aff.xml">DGEEQU</a><br/>
<a class="rout" href="../F07/f07aff.xml">nagf_lapack_dgeequ</a><br/>
Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07agf.xml">F07AGF</a>
<br/><a class="tocexample" href="../../examples/source/f07agfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07agfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07agf.xml">DGECON</a><br/>
<a class="rout" href="../F07/f07agf.xml">nagf_lapack_dgecon</a><br/>
Estimate condition number of real matrix, matrix already factorized by <a class="rout" href="../F07/f07adf.xml">F07ADF (DGETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ahf.xml">F07AHF</a>
<br/><a class="tocexample" href="../../examples/source/f07ahfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ahfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ahf.xml">DGERFS</a><br/>
<a class="rout" href="../F07/f07ahf.xml">nagf_lapack_dgerfs</a><br/>
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="../F07/f07ajf.xml">F07AJF</a>
<br/><a class="tocexample" href="../../examples/source/f07ajfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ajfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ajf.xml">DGETRI</a><br/>
<a class="rout" href="../F07/f07ajf.xml">nagf_lapack_dgetri</a><br/>
Inverse of real matrix, matrix already factorized by <a class="rout" href="../F07/f07adf.xml">F07ADF (DGETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07anf.xml">F07ANF</a>
<br/><a class="tocexample" href="../../examples/source/f07anfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07anfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07anf.xml">ZGESV</a><br/>
<a class="rout" href="../F07/f07anf.xml">nagf_lapack_zgesv</a><br/>
Computes the solution to a complex system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07apf.xml">F07APF</a>
<br/><a class="tocexample" href="../../examples/source/f07apfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07apfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07apf.xml">ZGESVX</a><br/>
<a class="rout" href="../F07/f07apf.xml">nagf_lapack_zgesvx</a><br/>
Uses the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07aqf.xml">F07AQF</a>
<br/><a class="tocexample" href="../../examples/source/f07aqfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07aqfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07aqf.xml">ZCGESV</a><br/>
<a class="rout" href="../F07/f07aqf.xml">nagf_lapack_zcgesv</a><br/>
Mixed precision complex system solver</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07arf.xml">F07ARF</a>
<br/><a class="tocexample" href="../../examples/source/f07arfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07arfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07arf.xml">ZGETRF</a><br/>
<a class="rout" href="../F07/f07arf.xml">nagf_lapack_zgetrf</a><br/>
<m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization of complex <m:math><m:mi>m</m:mi></m:math>&#160;by <m:math><m:mi>n</m:mi></m:math>&#160;matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07asf.xml">F07ASF</a>
<br/><a class="tocexample" href="../../examples/source/f07asfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07asfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07asf.xml">ZGETRS</a><br/>
<a class="rout" href="../F07/f07asf.xml">nagf_lapack_zgetrs</a><br/>
Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07arf.xml">F07ARF (ZGETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07atf.xml">F07ATF</a>
<br/><a class="tocexample" href="../../examples/source/f07atfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07atfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07atf.xml">ZGEEQU</a><br/>
<a class="rout" href="../F07/f07atf.xml">nagf_lapack_zgeequ</a><br/>
Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07auf.xml">F07AUF</a>
<br/><a class="tocexample" href="../../examples/source/f07aufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07aufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07auf.xml">ZGECON</a><br/>
<a class="rout" href="../F07/f07auf.xml">nagf_lapack_zgecon</a><br/>
Estimate condition number of complex matrix, matrix already factorized by <a class="rout" href="../F07/f07arf.xml">F07ARF (ZGETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07avf.xml">F07AVF</a>
<br/><a class="tocexample" href="../../examples/source/f07avfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07avfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07avf.xml">ZGERFS</a><br/>
<a class="rout" href="../F07/f07avf.xml">nagf_lapack_zgerfs</a><br/>
Refined solution with error bounds of complex system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07awf.xml">F07AWF</a>
<br/><a class="tocexample" href="../../examples/source/f07awfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07awfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07awf.xml">ZGETRI</a><br/>
<a class="rout" href="../F07/f07awf.xml">nagf_lapack_zgetri</a><br/>
Inverse of complex matrix, matrix already factorized by <a class="rout" href="../F07/f07arf.xml">F07ARF (ZGETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07baf.xml">F07BAF</a>
<br/><a class="tocexample" href="../../examples/source/f07bafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07baf.xml">DGBSV</a><br/>
<a class="rout" href="../F07/f07baf.xml">nagf_lapack_dgbsv</a><br/>
Computes the solution to a real banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bbf.xml">F07BBF</a>
<br/><a class="tocexample" href="../../examples/source/f07bbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bbf.xml">DGBSVX</a><br/>
<a class="rout" href="../F07/f07bbf.xml">nagf_lapack_dgbsvx</a><br/>
Uses the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bdf.xml">F07BDF</a>
<br/><a class="tocexample" href="../../examples/source/f07bdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bdf.xml">DGBTRF</a><br/>
<a class="rout" href="../F07/f07bdf.xml">nagf_lapack_dgbtrf</a><br/>
<m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization of real <m:math><m:mi>m</m:mi></m:math>&#160;by <m:math><m:mi>n</m:mi></m:math>&#160;band matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bef.xml">F07BEF</a>
<br/><a class="tocexample" href="../../examples/source/f07befe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07befe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bef.xml">DGBTRS</a><br/>
<a class="rout" href="../F07/f07bef.xml">nagf_lapack_dgbtrs</a><br/>
Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07bdf.xml">F07BDF (DGBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bff.xml">F07BFF</a>
<br/><a class="tocexample" href="../../examples/source/f07bffe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bffe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bff.xml">DGBEQU</a><br/>
<a class="rout" href="../F07/f07bff.xml">nagf_lapack_dgbequ</a><br/>
Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bgf.xml">F07BGF</a>
<br/><a class="tocexample" href="../../examples/source/f07bgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bgf.xml">DGBCON</a><br/>
<a class="rout" href="../F07/f07bgf.xml">nagf_lapack_dgbcon</a><br/>
Estimate condition number of real band matrix, matrix already factorized by <a class="rout" href="../F07/f07bdf.xml">F07BDF (DGBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bhf.xml">F07BHF</a>
<br/><a class="tocexample" href="../../examples/source/f07bhfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bhf.xml">DGBRFS</a><br/>
<a class="rout" href="../F07/f07bhf.xml">nagf_lapack_dgbrfs</a><br/>
Refined solution with error bounds of real band system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bnf.xml">F07BNF</a>
<br/><a class="tocexample" href="../../examples/source/f07bnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bnf.xml">ZGBSV</a><br/>
<a class="rout" href="../F07/f07bnf.xml">nagf_lapack_zgbsv</a><br/>
Computes the solution to a complex banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bpf.xml">F07BPF</a>
<br/><a class="tocexample" href="../../examples/source/f07bpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bpf.xml">ZGBSVX</a><br/>
<a class="rout" href="../F07/f07bpf.xml">nagf_lapack_zgbsvx</a><br/>
Uses the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07brf.xml">F07BRF</a>
<br/><a class="tocexample" href="../../examples/source/f07brfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07brfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07brf.xml">ZGBTRF</a><br/>
<a class="rout" href="../F07/f07brf.xml">nagf_lapack_zgbtrf</a><br/>
<m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization of complex <m:math><m:mi>m</m:mi></m:math>&#160;by <m:math><m:mi>n</m:mi></m:math>&#160;band matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bsf.xml">F07BSF</a>
<br/><a class="tocexample" href="../../examples/source/f07bsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bsf.xml">ZGBTRS</a><br/>
<a class="rout" href="../F07/f07bsf.xml">nagf_lapack_zgbtrs</a><br/>
Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07brf.xml">F07BRF (ZGBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07btf.xml">F07BTF</a>
<br/><a class="tocexample" href="../../examples/source/f07btfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07btfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07btf.xml">ZGBEQU</a><br/>
<a class="rout" href="../F07/f07btf.xml">nagf_lapack_zgbequ</a><br/>
Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07buf.xml">F07BUF</a>
<br/><a class="tocexample" href="../../examples/source/f07bufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07buf.xml">ZGBCON</a><br/>
<a class="rout" href="../F07/f07buf.xml">nagf_lapack_zgbcon</a><br/>
Estimate condition number of complex band matrix, matrix already factorized by <a class="rout" href="../F07/f07brf.xml">F07BRF (ZGBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bvf.xml">F07BVF</a>
<br/><a class="tocexample" href="../../examples/source/f07bvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07bvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07bvf.xml">ZGBRFS</a><br/>
<a class="rout" href="../F07/f07bvf.xml">nagf_lapack_zgbrfs</a><br/>
Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07caf.xml">F07CAF</a>
<br/><a class="tocexample" href="../../examples/source/f07cafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07caf.xml">DGTSV</a><br/>
<a class="rout" href="../F07/f07caf.xml">nagf_lapack_dgtsv</a><br/>
Computes the solution to a real tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cbf.xml">F07CBF</a>
<br/><a class="tocexample" href="../../examples/source/f07cbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cbf.xml">DGTSVX</a><br/>
<a class="rout" href="../F07/f07cbf.xml">nagf_lapack_dgtsvx</a><br/>
Uses the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cdf.xml">F07CDF</a>
<br/><a class="tocexample" href="../../examples/source/f07cdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cdf.xml">DGTTRF</a><br/>
<a class="rout" href="../F07/f07cdf.xml">nagf_lapack_dgttrf</a><br/>
<m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization of real tridiagonal matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cef.xml">F07CEF</a>
<br/><a class="tocexample" href="../../examples/source/f07cefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cef.xml">DGTTRS</a><br/>
<a class="rout" href="../F07/f07cef.xml">nagf_lapack_dgttrs</a><br/>
Solves a real tridiagonal system of linear equations using the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization computed by <a class="rout" href="../F07/f07cdf.xml">F07CDF (DGTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cgf.xml">F07CGF</a>
<br/><a class="tocexample" href="../../examples/source/f07cgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cgf.xml">DGTCON</a><br/>
<a class="rout" href="../F07/f07cgf.xml">nagf_lapack_dgtcon</a><br/>
Estimates the reciprocal of the condition number of a real tridiagonal matrix using the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization computed by <a class="rout" href="../F07/f07cdf.xml">F07CDF (DGTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07chf.xml">F07CHF</a>
<br/><a class="tocexample" href="../../examples/source/f07chfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07chfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07chf.xml">DGTRFS</a><br/>
<a class="rout" href="../F07/f07chf.xml">nagf_lapack_dgtrfs</a><br/>
Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cnf.xml">F07CNF</a>
<br/><a class="tocexample" href="../../examples/source/f07cnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cnf.xml">ZGTSV</a><br/>
<a class="rout" href="../F07/f07cnf.xml">nagf_lapack_zgtsv</a><br/>
Computes the solution to a complex tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cpf.xml">F07CPF</a>
<br/><a class="tocexample" href="../../examples/source/f07cpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cpf.xml">ZGTSVX</a><br/>
<a class="rout" href="../F07/f07cpf.xml">nagf_lapack_zgtsvx</a><br/>
Uses the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07crf.xml">F07CRF</a>
<br/><a class="tocexample" href="../../examples/source/f07crfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07crfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07crf.xml">ZGTTRF</a><br/>
<a class="rout" href="../F07/f07crf.xml">nagf_lapack_zgttrf</a><br/>
<m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization of complex tridiagonal matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07csf.xml">F07CSF</a>
<br/><a class="tocexample" href="../../examples/source/f07csfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07csfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07csf.xml">ZGTTRS</a><br/>
<a class="rout" href="../F07/f07csf.xml">nagf_lapack_zgttrs</a><br/>
Solves a complex tridiagonal system of linear equations using the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization computed by <a class="rout" href="../F07/f07cdf.xml">F07CDF (DGTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cuf.xml">F07CUF</a>
<br/><a class="tocexample" href="../../examples/source/f07cufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cuf.xml">ZGTCON</a><br/>
<a class="rout" href="../F07/f07cuf.xml">nagf_lapack_zgtcon</a><br/>
Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the <m:math><m:mi>L</m:mi><m:mi>U</m:mi></m:math>&#160;factorization computed by <a class="rout" href="../F07/f07cdf.xml">F07CDF (DGTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cvf.xml">F07CVF</a>
<br/><a class="tocexample" href="../../examples/source/f07cvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07cvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07cvf.xml">ZGTRFS</a><br/>
<a class="rout" href="../F07/f07cvf.xml">nagf_lapack_zgtrfs</a><br/>
Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07faf.xml">F07FAF</a>
<br/><a class="tocexample" href="../../examples/source/f07fafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07faf.xml">DPOSV</a><br/>
<a class="rout" href="../F07/f07faf.xml">nagf_lapack_dposv</a><br/>
Computes the solution to a real symmetric positive definite system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fbf.xml">F07FBF</a>
<br/><a class="tocexample" href="../../examples/source/f07fbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fbf.xml">DPOSVX</a><br/>
<a class="rout" href="../F07/f07fbf.xml">nagf_lapack_dposvx</a><br/>
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fcf.xml">F07FCF</a>
<br/><a class="tocexample" href="../../examples/source/f07fcfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fcf.xml">DSPOSV</a><br/>
<a class="rout" href="../F07/f07fcf.xml">nagf_lapack_dsposv</a><br/>
Uses the Cholesky factorization to compute the solution for a real symmetric positive definite system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fdf.xml">F07FDF</a>
<br/><a class="tocexample" href="../../examples/source/f07fdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fdf.xml">DPOTRF</a><br/>
<a class="rout" href="../F07/f07fdf.xml">nagf_lapack_dpotrf</a><br/>
Cholesky factorization of real symmetric positive definite matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fef.xml">F07FEF</a>
<br/><a class="tocexample" href="../../examples/source/f07fefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fef.xml">DPOTRS</a><br/>
<a class="rout" href="../F07/f07fef.xml">nagf_lapack_dpotrs</a><br/>
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07fdf.xml">F07FDF (DPOTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fff.xml">F07FFF</a>
<br/><a class="tocexample" href="../../examples/source/f07fffe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fffe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fff.xml">DPOEQU</a><br/>
<a class="rout" href="../F07/f07fff.xml">nagf_lapack_dpoequ</a><br/>
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fgf.xml">F07FGF</a>
<br/><a class="tocexample" href="../../examples/source/f07fgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fgf.xml">DPOCON</a><br/>
<a class="rout" href="../F07/f07fgf.xml">nagf_lapack_dpocon</a><br/>
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07fdf.xml">F07FDF (DPOTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fhf.xml">F07FHF</a>
<br/><a class="tocexample" href="../../examples/source/f07fhfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fhf.xml">DPORFS</a><br/>
<a class="rout" href="../F07/f07fhf.xml">nagf_lapack_dporfs</a><br/>
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fjf.xml">F07FJF</a>
<br/><a class="tocexample" href="../../examples/source/f07fjfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fjf.xml">DPOTRI</a><br/>
<a class="rout" href="../F07/f07fjf.xml">nagf_lapack_dpotri</a><br/>
Inverse of real symmetric positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07fdf.xml">F07FDF (DPOTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fnf.xml">F07FNF</a>
<br/><a class="tocexample" href="../../examples/source/f07fnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fnf.xml">ZPOSV</a><br/>
<a class="rout" href="../F07/f07fnf.xml">nagf_lapack_zposv</a><br/>
Computes the solution to a complex Hermitian positive definite system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fpf.xml">F07FPF</a>
<br/><a class="tocexample" href="../../examples/source/f07fpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fpf.xml">ZPOSVX</a><br/>
<a class="rout" href="../F07/f07fpf.xml">nagf_lapack_zposvx</a><br/>
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fqf.xml">F07FQF</a>
<br/><a class="tocexample" href="../../examples/source/f07fqfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fqfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fqf.xml">ZCPOSV</a><br/>
<a class="rout" href="../F07/f07fqf.xml">nagf_lapack_zcposv</a><br/>
Uses the Cholesky factorization to compute the solution for a complex Hermitian positive definite system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07frf.xml">F07FRF</a>
<br/><a class="tocexample" href="../../examples/source/f07frfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07frfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07frf.xml">ZPOTRF</a><br/>
<a class="rout" href="../F07/f07frf.xml">nagf_lapack_zpotrf</a><br/>
Cholesky factorization of complex Hermitian positive definite matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fsf.xml">F07FSF</a>
<br/><a class="tocexample" href="../../examples/source/f07fsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fsf.xml">ZPOTRS</a><br/>
<a class="rout" href="../F07/f07fsf.xml">nagf_lapack_zpotrs</a><br/>
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07frf.xml">F07FRF (ZPOTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ftf.xml">F07FTF</a>
<br/><a class="tocexample" href="../../examples/source/f07ftfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ftfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ftf.xml">ZPOEQU</a><br/>
<a class="rout" href="../F07/f07ftf.xml">nagf_lapack_zpoequ</a><br/>
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fuf.xml">F07FUF</a>
<br/><a class="tocexample" href="../../examples/source/f07fufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fuf.xml">ZPOCON</a><br/>
<a class="rout" href="../F07/f07fuf.xml">nagf_lapack_zpocon</a><br/>
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07frf.xml">F07FRF (ZPOTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fvf.xml">F07FVF</a>
<br/><a class="tocexample" href="../../examples/source/f07fvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fvf.xml">ZPORFS</a><br/>
<a class="rout" href="../F07/f07fvf.xml">nagf_lapack_zporfs</a><br/>
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fwf.xml">F07FWF</a>
<br/><a class="tocexample" href="../../examples/source/f07fwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07fwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07fwf.xml">ZPOTRI</a><br/>
<a class="rout" href="../F07/f07fwf.xml">nagf_lapack_zpotri</a><br/>
Inverse of complex Hermitian positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07frf.xml">F07FRF (ZPOTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gaf.xml">F07GAF</a>
<br/><a class="tocexample" href="../../examples/source/f07gafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gaf.xml">DPPSV</a><br/>
<a class="rout" href="../F07/f07gaf.xml">nagf_lapack_dppsv</a><br/>
Computes the solution to a real symmetric positive definite system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gbf.xml">F07GBF</a>
<br/><a class="tocexample" href="../../examples/source/f07gbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gbf.xml">DPPSVX</a><br/>
<a class="rout" href="../F07/f07gbf.xml">nagf_lapack_dppsvx</a><br/>
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gdf.xml">F07GDF</a>
<br/><a class="tocexample" href="../../examples/source/f07gdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gdf.xml">DPPTRF</a><br/>
<a class="rout" href="../F07/f07gdf.xml">nagf_lapack_dpptrf</a><br/>
Cholesky factorization of real symmetric positive definite matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gef.xml">F07GEF</a>
<br/><a class="tocexample" href="../../examples/source/f07gefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gef.xml">DPPTRS</a><br/>
<a class="rout" href="../F07/f07gef.xml">nagf_lapack_dpptrs</a><br/>
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07gdf.xml">F07GDF (DPPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gff.xml">F07GFF</a>
<br/><a class="tocexample" href="../../examples/source/f07gffe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gffe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gff.xml">DPPEQU</a><br/>
<a class="rout" href="../F07/f07gff.xml">nagf_lapack_dppequ</a><br/>
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ggf.xml">F07GGF</a>
<br/><a class="tocexample" href="../../examples/source/f07ggfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ggfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ggf.xml">DPPCON</a><br/>
<a class="rout" href="../F07/f07ggf.xml">nagf_lapack_dppcon</a><br/>
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07gdf.xml">F07GDF (DPPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ghf.xml">F07GHF</a>
<br/><a class="tocexample" href="../../examples/source/f07ghfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ghfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ghf.xml">DPPRFS</a><br/>
<a class="rout" href="../F07/f07ghf.xml">nagf_lapack_dpprfs</a><br/>
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gjf.xml">F07GJF</a>
<br/><a class="tocexample" href="../../examples/source/f07gjfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gjf.xml">DPPTRI</a><br/>
<a class="rout" href="../F07/f07gjf.xml">nagf_lapack_dpptri</a><br/>
Inverse of real symmetric positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07gdf.xml">F07GDF (DPPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gnf.xml">F07GNF</a>
<br/><a class="tocexample" href="../../examples/source/f07gnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gnf.xml">ZPPSV</a><br/>
<a class="rout" href="../F07/f07gnf.xml">nagf_lapack_zppsv</a><br/>
Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gpf.xml">F07GPF</a>
<br/><a class="tocexample" href="../../examples/source/f07gpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gpf.xml">ZPPSVX</a><br/>
<a class="rout" href="../F07/f07gpf.xml">nagf_lapack_zppsvx</a><br/>
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07grf.xml">F07GRF</a>
<br/><a class="tocexample" href="../../examples/source/f07grfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07grfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07grf.xml">ZPPTRF</a><br/>
<a class="rout" href="../F07/f07grf.xml">nagf_lapack_zpptrf</a><br/>
Cholesky factorization of complex Hermitian positive definite matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gsf.xml">F07GSF</a>
<br/><a class="tocexample" href="../../examples/source/f07gsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gsf.xml">ZPPTRS</a><br/>
<a class="rout" href="../F07/f07gsf.xml">nagf_lapack_zpptrs</a><br/>
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07grf.xml">F07GRF (ZPPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gtf.xml">F07GTF</a>
<br/><a class="tocexample" href="../../examples/source/f07gtfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gtfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gtf.xml">ZPPEQU</a><br/>
<a class="rout" href="../F07/f07gtf.xml">nagf_lapack_zppequ</a><br/>
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07guf.xml">F07GUF</a>
<br/><a class="tocexample" href="../../examples/source/f07gufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07guf.xml">ZPPCON</a><br/>
<a class="rout" href="../F07/f07guf.xml">nagf_lapack_zppcon</a><br/>
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07grf.xml">F07GRF (ZPPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gvf.xml">F07GVF</a>
<br/><a class="tocexample" href="../../examples/source/f07gvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gvf.xml">ZPPRFS</a><br/>
<a class="rout" href="../F07/f07gvf.xml">nagf_lapack_zpprfs</a><br/>
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gwf.xml">F07GWF</a>
<br/><a class="tocexample" href="../../examples/source/f07gwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07gwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07gwf.xml">ZPPTRI</a><br/>
<a class="rout" href="../F07/f07gwf.xml">nagf_lapack_zpptri</a><br/>
Inverse of complex Hermitian positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07grf.xml">F07GRF (ZPPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07haf.xml">F07HAF</a>
<br/><a class="tocexample" href="../../examples/source/f07hafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07haf.xml">DPBSV</a><br/>
<a class="rout" href="../F07/f07haf.xml">nagf_lapack_dpbsv</a><br/>
Computes the solution to a real symmetric positive definite banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hbf.xml">F07HBF</a>
<br/><a class="tocexample" href="../../examples/source/f07hbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hbf.xml">DPBSVX</a><br/>
<a class="rout" href="../F07/f07hbf.xml">nagf_lapack_dpbsvx</a><br/>
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hdf.xml">F07HDF</a>
<br/><a class="tocexample" href="../../examples/source/f07hdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hdf.xml">DPBTRF</a><br/>
<a class="rout" href="../F07/f07hdf.xml">nagf_lapack_dpbtrf</a><br/>
Cholesky factorization of real symmetric positive definite band matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hef.xml">F07HEF</a>
<br/><a class="tocexample" href="../../examples/source/f07hefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hef.xml">DPBTRS</a><br/>
<a class="rout" href="../F07/f07hef.xml">nagf_lapack_dpbtrs</a><br/>
Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07hdf.xml">F07HDF (DPBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hff.xml">F07HFF</a>
<br/><a class="tocexample" href="../../examples/source/f07hffe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hffe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hff.xml">DPBEQU</a><br/>
<a class="rout" href="../F07/f07hff.xml">nagf_lapack_dpbequ</a><br/>
Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hgf.xml">F07HGF</a>
<br/><a class="tocexample" href="../../examples/source/f07hgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hgf.xml">DPBCON</a><br/>
<a class="rout" href="../F07/f07hgf.xml">nagf_lapack_dpbcon</a><br/>
Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by <a class="rout" href="../F07/f07hdf.xml">F07HDF (DPBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hhf.xml">F07HHF</a>
<br/><a class="tocexample" href="../../examples/source/f07hhfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hhf.xml">DPBRFS</a><br/>
<a class="rout" href="../F07/f07hhf.xml">nagf_lapack_dpbrfs</a><br/>
Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hnf.xml">F07HNF</a>
<br/><a class="tocexample" href="../../examples/source/f07hnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hnf.xml">ZPBSV</a><br/>
<a class="rout" href="../F07/f07hnf.xml">nagf_lapack_zpbsv</a><br/>
Computes the solution to a complex Hermitian positive definite banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hpf.xml">F07HPF</a>
<br/><a class="tocexample" href="../../examples/source/f07hpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hpf.xml">ZPBSVX</a><br/>
<a class="rout" href="../F07/f07hpf.xml">nagf_lapack_zpbsvx</a><br/>
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hrf.xml">F07HRF</a>
<br/><a class="tocexample" href="../../examples/source/f07hrfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hrfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hrf.xml">ZPBTRF</a><br/>
<a class="rout" href="../F07/f07hrf.xml">nagf_lapack_zpbtrf</a><br/>
Cholesky factorization of complex Hermitian positive definite band matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hsf.xml">F07HSF</a>
<br/><a class="tocexample" href="../../examples/source/f07hsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hsf.xml">ZPBTRS</a><br/>
<a class="rout" href="../F07/f07hsf.xml">nagf_lapack_zpbtrs</a><br/>
Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07hrf.xml">F07HRF (ZPBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07htf.xml">F07HTF</a>
<br/><a class="tocexample" href="../../examples/source/f07htfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07htfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07htf.xml">ZPBEQU</a><br/>
<a class="rout" href="../F07/f07htf.xml">nagf_lapack_zpbequ</a><br/>
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07huf.xml">F07HUF</a>
<br/><a class="tocexample" href="../../examples/source/f07hufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07huf.xml">ZPBCON</a><br/>
<a class="rout" href="../F07/f07huf.xml">nagf_lapack_zpbcon</a><br/>
Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by <a class="rout" href="../F07/f07hrf.xml">F07HRF (ZPBTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hvf.xml">F07HVF</a>
<br/><a class="tocexample" href="../../examples/source/f07hvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07hvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07hvf.xml">ZPBRFS</a><br/>
<a class="rout" href="../F07/f07hvf.xml">nagf_lapack_zpbrfs</a><br/>
Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jaf.xml">F07JAF</a>
<br/><a class="tocexample" href="../../examples/source/f07jafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jaf.xml">DPTSV</a><br/>
<a class="rout" href="../F07/f07jaf.xml">nagf_lapack_dptsv</a><br/>
Computes the solution to a real symmetric positive definite tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jbf.xml">F07JBF</a>
<br/><a class="tocexample" href="../../examples/source/f07jbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jbf.xml">DPTSVX</a><br/>
<a class="rout" href="../F07/f07jbf.xml">nagf_lapack_dptsvx</a><br/>
Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jdf.xml">F07JDF</a>
<br/><a class="tocexample" href="../../examples/source/f07jdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jdf.xml">DPTTRF</a><br/>
<a class="rout" href="../F07/f07jdf.xml">nagf_lapack_dpttrf</a><br/>
Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jef.xml">F07JEF</a>
<br/><a class="tocexample" href="../../examples/source/f07jefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jef.xml">DPTTRS</a><br/>
<a class="rout" href="../F07/f07jef.xml">nagf_lapack_dpttrs</a><br/>
Solves a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by <a class="rout" href="../F07/f07jdf.xml">F07JDF (DPTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jgf.xml">F07JGF</a>
<br/><a class="tocexample" href="../../examples/source/f07jgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jgf.xml">DPTCON</a><br/>
<a class="rout" href="../F07/f07jgf.xml">nagf_lapack_dptcon</a><br/>
Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by <a class="rout" href="../F07/f07jdf.xml">F07JDF (DPTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jhf.xml">F07JHF</a>
<br/><a class="tocexample" href="../../examples/source/f07jhfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jhf.xml">DPTRFS</a><br/>
<a class="rout" href="../F07/f07jhf.xml">nagf_lapack_dptrfs</a><br/>
Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jnf.xml">F07JNF</a>
<br/><a class="tocexample" href="../../examples/source/f07jnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jnf.xml">ZPTSV</a><br/>
<a class="rout" href="../F07/f07jnf.xml">nagf_lapack_zptsv</a><br/>
Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jpf.xml">F07JPF</a>
<br/><a class="tocexample" href="../../examples/source/f07jpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jpf.xml">ZPTSVX</a><br/>
<a class="rout" href="../F07/f07jpf.xml">nagf_lapack_zptsvx</a><br/>
Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jrf.xml">F07JRF</a>
<br/><a class="tocexample" href="../../examples/source/f07jrfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jrfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jrf.xml">ZPTTRF</a><br/>
<a class="rout" href="../F07/f07jrf.xml">nagf_lapack_zpttrf</a><br/>
Computes the modified Cholesky factorization of a complex Hermitian positive definite tridiagonal matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jsf.xml">F07JSF</a>
<br/><a class="tocexample" href="../../examples/source/f07jsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jsf.xml">ZPTTRS</a><br/>
<a class="rout" href="../F07/f07jsf.xml">nagf_lapack_zpttrs</a><br/>
Solves a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by <a class="rout" href="../F07/f07jrf.xml">F07JRF (ZPTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07juf.xml">F07JUF</a>
<br/><a class="tocexample" href="../../examples/source/f07jufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07juf.xml">ZPTCON</a><br/>
<a class="rout" href="../F07/f07juf.xml">nagf_lapack_zptcon</a><br/>
Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by <a class="rout" href="../F07/f07jrf.xml">F07JRF (ZPTTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jvf.xml">F07JVF</a>
<br/><a class="tocexample" href="../../examples/source/f07jvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07jvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07jvf.xml">ZPTRFS</a><br/>
<a class="rout" href="../F07/f07jvf.xml">nagf_lapack_zptrfs</a><br/>
Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07kdf.xml">F07KDF</a>
<br/><a class="tocexample" href="../../examples/source/f07kdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07kdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07kdf.xml">DPSTRF</a><br/>
<a class="rout" href="../F07/f07kdf.xml">nagf_lapack_dpstrf</a><br/>
Cholesky factorization of real symmetric positive semidefinite matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07krf.xml">F07KRF</a>
<br/><a class="tocexample" href="../../examples/source/f07krfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07krfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07krf.xml">ZPSTRF</a><br/>
<a class="rout" href="../F07/f07krf.xml">nagf_lapack_zpstrf</a><br/>
Cholesky factorization of complex Hermitian positive semidefinite matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07maf.xml">F07MAF</a>
<br/><a class="tocexample" href="../../examples/source/f07mafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07maf.xml">DSYSV</a><br/>
<a class="rout" href="../F07/f07maf.xml">nagf_lapack_dsysv</a><br/>
Computes the solution to a real symmetric system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mbf.xml">F07MBF</a>
<br/><a class="tocexample" href="../../examples/source/f07mbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mbf.xml">DSYSVX</a><br/>
<a class="rout" href="../F07/f07mbf.xml">nagf_lapack_dsysvx</a><br/>
Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mdf.xml">F07MDF</a>
<br/><a class="tocexample" href="../../examples/source/f07mdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mdf.xml">DSYTRF</a><br/>
<a class="rout" href="../F07/f07mdf.xml">nagf_lapack_dsytrf</a><br/>
Bunch&#8211;Kaufman factorization of real symmetric indefinite matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mef.xml">F07MEF</a>
<br/><a class="tocexample" href="../../examples/source/f07mefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mef.xml">DSYTRS</a><br/>
<a class="rout" href="../F07/f07mef.xml">nagf_lapack_dsytrs</a><br/>
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07mdf.xml">F07MDF (DSYTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mgf.xml">F07MGF</a>
<br/><a class="tocexample" href="../../examples/source/f07mgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mgf.xml">DSYCON</a><br/>
<a class="rout" href="../F07/f07mgf.xml">nagf_lapack_dsycon</a><br/>
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07mdf.xml">F07MDF (DSYTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mhf.xml">F07MHF</a>
<br/><a class="tocexample" href="../../examples/source/f07mhfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mhf.xml">DSYRFS</a><br/>
<a class="rout" href="../F07/f07mhf.xml">nagf_lapack_dsyrfs</a><br/>
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mjf.xml">F07MJF</a>
<br/><a class="tocexample" href="../../examples/source/f07mjfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mjf.xml">DSYTRI</a><br/>
<a class="rout" href="../F07/f07mjf.xml">nagf_lapack_dsytri</a><br/>
Inverse of real symmetric indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07mdf.xml">F07MDF (DSYTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mnf.xml">F07MNF</a>
<br/><a class="tocexample" href="../../examples/source/f07mnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mnf.xml">ZHESV</a><br/>
<a class="rout" href="../F07/f07mnf.xml">nagf_lapack_zhesv</a><br/>
Computes the solution to a complex Hermitian system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mpf.xml">F07MPF</a>
<br/><a class="tocexample" href="../../examples/source/f07mpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mpf.xml">ZHESVX</a><br/>
<a class="rout" href="../F07/f07mpf.xml">nagf_lapack_zhesvx</a><br/>
Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mrf.xml">F07MRF</a>
<br/><a class="tocexample" href="../../examples/source/f07mrfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mrfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mrf.xml">ZHETRF</a><br/>
<a class="rout" href="../F07/f07mrf.xml">nagf_lapack_zhetrf</a><br/>
Bunch&#8211;Kaufman factorization of complex Hermitian indefinite matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07msf.xml">F07MSF</a>
<br/><a class="tocexample" href="../../examples/source/f07msfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07msfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07msf.xml">ZHETRS</a><br/>
<a class="rout" href="../F07/f07msf.xml">nagf_lapack_zhetrs</a><br/>
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07mrf.xml">F07MRF (ZHETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07muf.xml">F07MUF</a>
<br/><a class="tocexample" href="../../examples/source/f07mufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07muf.xml">ZHECON</a><br/>
<a class="rout" href="../F07/f07muf.xml">nagf_lapack_zhecon</a><br/>
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07mrf.xml">F07MRF (ZHETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mvf.xml">F07MVF</a>
<br/><a class="tocexample" href="../../examples/source/f07mvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mvf.xml">ZHERFS</a><br/>
<a class="rout" href="../F07/f07mvf.xml">nagf_lapack_zherfs</a><br/>
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mwf.xml">F07MWF</a>
<br/><a class="tocexample" href="../../examples/source/f07mwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07mwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07mwf.xml">ZHETRI</a><br/>
<a class="rout" href="../F07/f07mwf.xml">nagf_lapack_zhetri</a><br/>
Inverse of complex Hermitian indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07mrf.xml">F07MRF (ZHETRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nnf.xml">F07NNF</a>
<br/><a class="tocexample" href="../../examples/source/f07nnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07nnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nnf.xml">ZSYSV</a><br/>
<a class="rout" href="../F07/f07nnf.xml">nagf_lapack_zsysv</a><br/>
Computes the solution to a complex symmetric system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07npf.xml">F07NPF</a>
<br/><a class="tocexample" href="../../examples/source/f07npfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07npfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07npf.xml">ZSYSVX</a><br/>
<a class="rout" href="../F07/f07npf.xml">nagf_lapack_zsysvx</a><br/>
Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nrf.xml">F07NRF</a>
<br/><a class="tocexample" href="../../examples/source/f07nrfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07nrfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nrf.xml">ZSYTRF</a><br/>
<a class="rout" href="../F07/f07nrf.xml">nagf_lapack_zsytrf</a><br/>
Bunch&#8211;Kaufman factorization of complex symmetric matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nsf.xml">F07NSF</a>
<br/><a class="tocexample" href="../../examples/source/f07nsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07nsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nsf.xml">ZSYTRS</a><br/>
<a class="rout" href="../F07/f07nsf.xml">nagf_lapack_zsytrs</a><br/>
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07nrf.xml">F07NRF (ZSYTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nuf.xml">F07NUF</a>
<br/><a class="tocexample" href="../../examples/source/f07nufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07nufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nuf.xml">ZSYCON</a><br/>
<a class="rout" href="../F07/f07nuf.xml">nagf_lapack_zsycon</a><br/>
Estimate condition number of complex symmetric matrix, matrix already factorized by <a class="rout" href="../F07/f07nrf.xml">F07NRF (ZSYTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nvf.xml">F07NVF</a>
<br/><a class="tocexample" href="../../examples/source/f07nvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07nvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nvf.xml">ZSYRFS</a><br/>
<a class="rout" href="../F07/f07nvf.xml">nagf_lapack_zsyrfs</a><br/>
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nwf.xml">F07NWF</a>
<br/><a class="tocexample" href="../../examples/source/f07nwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07nwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07nwf.xml">ZSYTRI</a><br/>
<a class="rout" href="../F07/f07nwf.xml">nagf_lapack_zsytri</a><br/>
Inverse of complex symmetric matrix, matrix already factorized by <a class="rout" href="../F07/f07nrf.xml">F07NRF (ZSYTRF)</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07paf.xml">F07PAF</a>
<br/><a class="tocexample" href="../../examples/source/f07pafe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07paf.xml">DSPSV</a><br/>
<a class="rout" href="../F07/f07paf.xml">nagf_lapack_dspsv</a><br/>
Computes the solution to a real symmetric system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pbf.xml">F07PBF</a>
<br/><a class="tocexample" href="../../examples/source/f07pbfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pbf.xml">DSPSVX</a><br/>
<a class="rout" href="../F07/f07pbf.xml">nagf_lapack_dspsvx</a><br/>
Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pdf.xml">F07PDF</a>
<br/><a class="tocexample" href="../../examples/source/f07pdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pdf.xml">DSPTRF</a><br/>
<a class="rout" href="../F07/f07pdf.xml">nagf_lapack_dsptrf</a><br/>
Bunch&#8211;Kaufman factorization of real symmetric indefinite matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pef.xml">F07PEF</a>
<br/><a class="tocexample" href="../../examples/source/f07pefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pef.xml">DSPTRS</a><br/>
<a class="rout" href="../F07/f07pef.xml">nagf_lapack_dsptrs</a><br/>
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07pdf.xml">F07PDF (DSPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pgf.xml">F07PGF</a>
<br/><a class="tocexample" href="../../examples/source/f07pgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pgf.xml">DSPCON</a><br/>
<a class="rout" href="../F07/f07pgf.xml">nagf_lapack_dspcon</a><br/>
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07pdf.xml">F07PDF (DSPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07phf.xml">F07PHF</a>
<br/><a class="tocexample" href="../../examples/source/f07phfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07phfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07phf.xml">DSPRFS</a><br/>
<a class="rout" href="../F07/f07phf.xml">nagf_lapack_dsprfs</a><br/>
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pjf.xml">F07PJF</a>
<br/><a class="tocexample" href="../../examples/source/f07pjfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pjf.xml">DSPTRI</a><br/>
<a class="rout" href="../F07/f07pjf.xml">nagf_lapack_dsptri</a><br/>
Inverse of real symmetric indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07pdf.xml">F07PDF (DSPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pnf.xml">F07PNF</a>
<br/><a class="tocexample" href="../../examples/source/f07pnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pnf.xml">ZHPSV</a><br/>
<a class="rout" href="../F07/f07pnf.xml">nagf_lapack_zhpsv</a><br/>
Computes the solution to a complex Hermitian system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ppf.xml">F07PPF</a>
<br/><a class="tocexample" href="../../examples/source/f07ppfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ppfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ppf.xml">ZHPSVX</a><br/>
<a class="rout" href="../F07/f07ppf.xml">nagf_lapack_zhpsvx</a><br/>
Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07prf.xml">F07PRF</a>
<br/><a class="tocexample" href="../../examples/source/f07prfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07prfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07prf.xml">ZHPTRF</a><br/>
<a class="rout" href="../F07/f07prf.xml">nagf_lapack_zhptrf</a><br/>
Bunch&#8211;Kaufman factorization of complex Hermitian indefinite matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07psf.xml">F07PSF</a>
<br/><a class="tocexample" href="../../examples/source/f07psfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07psfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07psf.xml">ZHPTRS</a><br/>
<a class="rout" href="../F07/f07psf.xml">nagf_lapack_zhptrs</a><br/>
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07prf.xml">F07PRF (ZHPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07puf.xml">F07PUF</a>
<br/><a class="tocexample" href="../../examples/source/f07pufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07puf.xml">ZHPCON</a><br/>
<a class="rout" href="../F07/f07puf.xml">nagf_lapack_zhpcon</a><br/>
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07prf.xml">F07PRF (ZHPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pvf.xml">F07PVF</a>
<br/><a class="tocexample" href="../../examples/source/f07pvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pvf.xml">ZHPRFS</a><br/>
<a class="rout" href="../F07/f07pvf.xml">nagf_lapack_zhprfs</a><br/>
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pwf.xml">F07PWF</a>
<br/><a class="tocexample" href="../../examples/source/f07pwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07pwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07pwf.xml">ZHPTRI</a><br/>
<a class="rout" href="../F07/f07pwf.xml">nagf_lapack_zhptri</a><br/>
Inverse of complex Hermitian indefinite matrix, matrix already factorized by <a class="rout" href="../F07/f07prf.xml">F07PRF (ZHPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qnf.xml">F07QNF</a>
<br/><a class="tocexample" href="../../examples/source/f07qnfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07qnfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qnf.xml">ZSPSV</a><br/>
<a class="rout" href="../F07/f07qnf.xml">nagf_lapack_zspsv</a><br/>
Computes the solution to a complex symmetric system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qpf.xml">F07QPF</a>
<br/><a class="tocexample" href="../../examples/source/f07qpfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07qpfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">21</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qpf.xml">ZSPSVX</a><br/>
<a class="rout" href="../F07/f07qpf.xml">nagf_lapack_zspsvx</a><br/>
Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qrf.xml">F07QRF</a>
<br/><a class="tocexample" href="../../examples/source/f07qrfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07qrfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qrf.xml">ZSPTRF</a><br/>
<a class="rout" href="../F07/f07qrf.xml">nagf_lapack_zsptrf</a><br/>
Bunch&#8211;Kaufman factorization of complex symmetric matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qsf.xml">F07QSF</a>
<br/><a class="tocexample" href="../../examples/source/f07qsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07qsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qsf.xml">ZSPTRS</a><br/>
<a class="rout" href="../F07/f07qsf.xml">nagf_lapack_zsptrs</a><br/>
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by <a class="rout" href="../F07/f07qrf.xml">F07QRF (ZSPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07quf.xml">F07QUF</a>
<br/><a class="tocexample" href="../../examples/source/f07qufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07qufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07quf.xml">ZSPCON</a><br/>
<a class="rout" href="../F07/f07quf.xml">nagf_lapack_zspcon</a><br/>
Estimate condition number of complex symmetric matrix, matrix already factorized by <a class="rout" href="../F07/f07qrf.xml">F07QRF (ZSPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qvf.xml">F07QVF</a>
<br/><a class="tocexample" href="../../examples/source/f07qvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07qvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qvf.xml">ZSPRFS</a><br/>
<a class="rout" href="../F07/f07qvf.xml">nagf_lapack_zsprfs</a><br/>
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qwf.xml">F07QWF</a>
<br/><a class="tocexample" href="../../examples/source/f07qwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07qwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07qwf.xml">ZSPTRI</a><br/>
<a class="rout" href="../F07/f07qwf.xml">nagf_lapack_zsptri</a><br/>
Inverse of complex symmetric matrix, matrix already factorized by <a class="rout" href="../F07/f07qrf.xml">F07QRF (ZSPTRF)</a>, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tef.xml">F07TEF</a>
<br/><a class="tocexample" href="../../examples/source/f07tefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07tefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tef.xml">DTRTRS</a><br/>
<a class="rout" href="../F07/f07tef.xml">nagf_lapack_dtrtrs</a><br/>
Solution of real triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tgf.xml">F07TGF</a>
<br/><a class="tocexample" href="../../examples/source/f07tgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07tgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tgf.xml">DTRCON</a><br/>
<a class="rout" href="../F07/f07tgf.xml">nagf_lapack_dtrcon</a><br/>
Estimate condition number of real triangular matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07thf.xml">F07THF</a>
<br/><a class="tocexample" href="../../examples/source/f07thfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07thfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07thf.xml">DTRRFS</a><br/>
<a class="rout" href="../F07/f07thf.xml">nagf_lapack_dtrrfs</a><br/>
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tjf.xml">F07TJF</a>
<br/><a class="tocexample" href="../../examples/source/f07tjfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07tjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tjf.xml">DTRTRI</a><br/>
<a class="rout" href="../F07/f07tjf.xml">nagf_lapack_dtrtri</a><br/>
Inverse of real triangular matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tsf.xml">F07TSF</a>
<br/><a class="tocexample" href="../../examples/source/f07tsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07tsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tsf.xml">ZTRTRS</a><br/>
<a class="rout" href="../F07/f07tsf.xml">nagf_lapack_ztrtrs</a><br/>
Solution of complex triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tuf.xml">F07TUF</a>
<br/><a class="tocexample" href="../../examples/source/f07tufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07tufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tuf.xml">ZTRCON</a><br/>
<a class="rout" href="../F07/f07tuf.xml">nagf_lapack_ztrcon</a><br/>
Estimate condition number of complex triangular matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tvf.xml">F07TVF</a>
<br/><a class="tocexample" href="../../examples/source/f07tvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07tvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07tvf.xml">ZTRRFS</a><br/>
<a class="rout" href="../F07/f07tvf.xml">nagf_lapack_ztrrfs</a><br/>
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07twf.xml">F07TWF</a>
<br/><a class="tocexample" href="../../examples/source/f07twfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07twfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07twf.xml">ZTRTRI</a><br/>
<a class="rout" href="../F07/f07twf.xml">nagf_lapack_ztrtri</a><br/>
Inverse of complex triangular matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uef.xml">F07UEF</a>
<br/><a class="tocexample" href="../../examples/source/f07uefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07uefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uef.xml">DTPTRS</a><br/>
<a class="rout" href="../F07/f07uef.xml">nagf_lapack_dtptrs</a><br/>
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ugf.xml">F07UGF</a>
<br/><a class="tocexample" href="../../examples/source/f07ugfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ugfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ugf.xml">DTPCON</a><br/>
<a class="rout" href="../F07/f07ugf.xml">nagf_lapack_dtpcon</a><br/>
Estimate condition number of real triangular matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uhf.xml">F07UHF</a>
<br/><a class="tocexample" href="../../examples/source/f07uhfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07uhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uhf.xml">DTPRFS</a><br/>
<a class="rout" href="../F07/f07uhf.xml">nagf_lapack_dtprfs</a><br/>
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ujf.xml">F07UJF</a>
<br/><a class="tocexample" href="../../examples/source/f07ujfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07ujfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07ujf.xml">DTPTRI</a><br/>
<a class="rout" href="../F07/f07ujf.xml">nagf_lapack_dtptri</a><br/>
Inverse of real triangular matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07usf.xml">F07USF</a>
<br/><a class="tocexample" href="../../examples/source/f07usfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07usfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07usf.xml">ZTPTRS</a><br/>
<a class="rout" href="../F07/f07usf.xml">nagf_lapack_ztptrs</a><br/>
Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uuf.xml">F07UUF</a>
<br/><a class="tocexample" href="../../examples/source/f07uufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07uufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uuf.xml">ZTPCON</a><br/>
<a class="rout" href="../F07/f07uuf.xml">nagf_lapack_ztpcon</a><br/>
Estimate condition number of complex triangular matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uvf.xml">F07UVF</a>
<br/><a class="tocexample" href="../../examples/source/f07uvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07uvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uvf.xml">ZTPRFS</a><br/>
<a class="rout" href="../F07/f07uvf.xml">nagf_lapack_ztprfs</a><br/>
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uwf.xml">F07UWF</a>
<br/><a class="tocexample" href="../../examples/source/f07uwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07uwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07uwf.xml">ZTPTRI</a><br/>
<a class="rout" href="../F07/f07uwf.xml">nagf_lapack_ztptri</a><br/>
Inverse of complex triangular matrix, packed storage</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vef.xml">F07VEF</a>
<br/><a class="tocexample" href="../../examples/source/f07vefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07vefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vef.xml">DTBTRS</a><br/>
<a class="rout" href="../F07/f07vef.xml">nagf_lapack_dtbtrs</a><br/>
Solution of real band triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vgf.xml">F07VGF</a>
<br/><a class="tocexample" href="../../examples/source/f07vgfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07vgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vgf.xml">DTBCON</a><br/>
<a class="rout" href="../F07/f07vgf.xml">nagf_lapack_dtbcon</a><br/>
Estimate condition number of real band triangular matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vhf.xml">F07VHF</a>
<br/><a class="tocexample" href="../../examples/source/f07vhfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07vhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vhf.xml">DTBRFS</a><br/>
<a class="rout" href="../F07/f07vhf.xml">nagf_lapack_dtbrfs</a><br/>
Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vsf.xml">F07VSF</a>
<br/><a class="tocexample" href="../../examples/source/f07vsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07vsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vsf.xml">ZTBTRS</a><br/>
<a class="rout" href="../F07/f07vsf.xml">nagf_lapack_ztbtrs</a><br/>
Solution of complex band triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vuf.xml">F07VUF</a>
<br/><a class="tocexample" href="../../examples/source/f07vufe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07vufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vuf.xml">ZTBCON</a><br/>
<a class="rout" href="../F07/f07vuf.xml">nagf_lapack_ztbcon</a><br/>
Estimate condition number of complex band triangular matrix</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vvf.xml">F07VVF</a>
<br/><a class="tocexample" href="../../examples/source/f07vvfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07vvfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">15</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07vvf.xml">ZTBRFS</a><br/>
<a class="rout" href="../F07/f07vvf.xml">nagf_lapack_ztbrfs</a><br/>
Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wdf.xml">F07WDF</a>
<br/><a class="tocexample" href="../../examples/source/f07wdfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wdf.xml">DPFTRF</a><br/>
<a class="rout" href="../F07/f07wdf.xml">nagf_lapack_dpftrf</a><br/>
Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wef.xml">F07WEF</a>
<br/><a class="tocexample" href="../../examples/source/f07wefe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wef.xml">DPFTRS</a><br/>
<a class="rout" href="../F07/f07wef.xml">nagf_lapack_dpftrs</a><br/>
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by <a class="rout" href="../F07/f07wdf.xml">F07WDF (DPFTRF)</a>, Rectangular Full Packed format</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wjf.xml">F07WJF</a>
<br/><a class="tocexample" href="../../examples/source/f07wjfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wjf.xml">DPFTRI</a><br/>
<a class="rout" href="../F07/f07wjf.xml">nagf_lapack_dpftri</a><br/>
Inverse of real symmetric positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07wdf.xml">F07WDF (DPFTRF)</a>, Rectangular Full Packed format</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wkf.xml">F07WKF</a>
<br/><a class="tocexample" href="../../examples/source/f07wkfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wkfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wkf.xml">DTFTRI</a><br/>
<a class="rout" href="../F07/f07wkf.xml">nagf_lapack_dtftri</a><br/>
Inverse of real triangular matrix, Rectangular Full Packed format, expert driver</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wrf.xml">F07WRF</a>
<br/><a class="tocexample" href="../../examples/source/f07wrfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wrfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wrf.xml">ZPFTRF</a><br/>
<a class="rout" href="../F07/f07wrf.xml">nagf_lapack_zpftrf</a><br/>
Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wsf.xml">F07WSF</a>
<br/><a class="tocexample" href="../../examples/source/f07wsfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wsfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wsf.xml">ZPFTRS</a><br/>
<a class="rout" href="../F07/f07wsf.xml">nagf_lapack_zpftrs</a><br/>
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by <a class="rout" href="../F07/f07wrf.xml">F07WRF (ZPFTRF)</a>, Rectangular Full Packed format</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wwf.xml">F07WWF</a>
<br/><a class="tocexample" href="../../examples/source/f07wwfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wwfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wwf.xml">ZPFTRI</a><br/>
<a class="rout" href="../F07/f07wwf.xml">nagf_lapack_zpftri</a><br/>
Inverse of complex Hermitian positive definite matrix, matrix already factorized by <a class="rout" href="../F07/f07wrf.xml">F07WRF (ZPFTRF)</a>, Rectangular Full Packed format</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wxf.xml">F07WXF</a>
<br/><a class="tocexample" href="../../examples/source/f07wxfe.f90">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f07wxfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">23</td>
<td class="contentsdoc" valign="top"><a class="rout" href="../F07/f07wxf.xml">ZTFTRI</a><br/>
<a class="rout" href="../F07/f07wxf.xml">nagf_lapack_ztftri</a><br/>
Inverse of complex triangular matrix, Rectangular Full Packed format</td>
</tr>
</tbody>
</table></div><hr/><div><a class="chap" href="../../pdf/F07/f07conts.pdf">F07 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="f07intro.xml">F07 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. 2011</a></div></body></html>