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<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Chapter Contents<br/><br/>F02 &#8211; Eigenvalues and Eigenvectors</h1>
<h3 class="standard"><a class="chapint" href="../F02/f02intro.xml">F02 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="../F02/f02bjf.xml">F02BJF</a>
<br/><a class="tocexample" href="../../examples/source/f02bjfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02bjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">6</td>
<td class="contentsdoc" valign="top">Computes all eigenvalues and, optionally, eigenvectors of generalized eigenproblem by <m:math><m:mi>Q</m:mi><m:mi>Z</m:mi></m:math>&#160;algorithm, real matrices (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02BJF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02eaf.xml">F02EAF</a>
<br/><a class="tocexample" href="../../examples/source/f02eafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02eafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">All eigenvalues and Schur factorization of real general matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02EAF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02ebf.xml">F02EBF</a>
<br/><a class="tocexample" href="../../examples/source/f02ebfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02ebfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">All eigenvalues and eigenvectors of real general matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02EBF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02ecf.xml">F02ECF</a>
<br/><a class="tocexample" href="../../examples/source/f02ecfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02ecfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Selected eigenvalues and eigenvectors of real nonsymmetric matrix (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02faf.xml">F02FAF</a>
<br/><a class="tocexample" href="../../examples/source/f02fafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02fafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Computes all eigenvalues and, optionally, eigenvectors of real symmetric matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02FAF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02fcf.xml">F02FCF</a>
<br/><a class="tocexample" href="../../examples/source/f02fcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02fcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Selected eigenvalues and optionally eigenvectors of real symmetric matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02FCF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02fdf.xml">F02FDF</a>
<br/><a class="tocexample" href="../../examples/source/f02fdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02fdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">All eigenvalues and eigenvectors of real symmetric-definite generalized problem (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02FDF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02fhf.xml">F02FHF</a>
<br/><a class="tocexample" href="../../examples/source/f02fhfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02fhfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">11</td>
<td class="contentsdoc" valign="top">All eigenvalues of generalized banded real symmetric-definite eigenproblem (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02FHF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02fjf.xml">F02FJF</a>
<br/><a class="tocexample" href="../../examples/source/f02fjfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02fjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">11</td>
<td class="contentsdoc" valign="top">Selected eigenvalues and eigenvectors of sparse symmetric eigenproblem (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02gaf.xml">F02GAF</a>
<br/><a class="tocexample" href="../../examples/source/f02gafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02gafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">All eigenvalues and Schur factorization of complex general matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02GAF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02gbf.xml">F02GBF</a>
<br/><a class="tocexample" href="../../examples/source/f02gbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02gbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">Computes all eigenvalues and, optionally, eigenvectors of complex general matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02GBF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02gcf.xml">F02GCF</a>
<br/><a class="tocexample" href="../../examples/source/f02gcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02gcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Selected eigenvalues and eigenvectors of complex nonsymmetric matrix (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02gjf.xml">F02GJF</a>
<br/><a class="tocexample" href="../../examples/source/f02gjfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02gjfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Computes all eigenvalues and, optionally, eigenvectors of generalized complex eigenproblem by <m:math><m:mi>Q</m:mi><m:mi>Z</m:mi></m:math>&#160;algorithm (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02GJF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02haf.xml">F02HAF</a>
<br/><a class="tocexample" href="../../examples/source/f02hafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02hafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">All eigenvalues and eigenvectors of complex Hermitian matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02HAF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02hcf.xml">F02HCF</a>
<br/><a class="tocexample" href="../../examples/source/f02hcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02hcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">17</td>
<td class="contentsdoc" valign="top">Selected eigenvalues and eigenvectors of complex Hermitian matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02HCF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02hdf.xml">F02HDF</a>
<br/><a class="tocexample" href="../../examples/source/f02hdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02hdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">16</td>
<td class="contentsdoc" valign="top">All eigenvalues and eigenvectors of complex Hermitian-definite generalized problem (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02HDF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02sdf.xml">F02SDF</a>
<br/><a class="tocexample" href="../../examples/source/f02sdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02sdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Eigenvector of generalized real banded eigenproblem by inverse iteration</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02wdf.xml">F02WDF</a>
<br/><a class="tocexample" href="../../examples/source/f02wdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02wdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top"><m:math><m:mi>Q</m:mi><m:mi>R</m:mi></m:math>&#160;factorization, possibly followed by SVD</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02wef.xml">F02WEF</a>
<br/><a class="tocexample" href="../../examples/source/f02wefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02wefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">SVD of real matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02WEF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02wgf.xml">F02WGF</a>
<br/><a class="tocexample" href="../../examples/source/f02wgfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02wgfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">22</td>
<td class="contentsdoc" valign="top">Computes leading terms in the singular value decomposition of a real general matrix; also computes corresponding left and right singular vectors</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02wuf.xml">F02WUF</a>
<br/><a class="tocexample" href="../../examples/source/f02wufe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02wufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">SVD of real upper triangular matrix (Black Box)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02xef.xml">F02XEF</a>
<br/><a class="tocexample" href="../../examples/source/f02xefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02xefe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">SVD of complex matrix (Black Box)<br/><b>Note</b>: this routine is scheduled for withdrawal at Mark 23, see <a class="sec" href="../GENINT/replace.xml#F02XEF">Advice on Replacement Calls for Withdrawn/Superseded Routines</a> for further information.</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../F02/f02xuf.xml">F02XUF</a>
<br/><a class="tocexample" href="../../examples/source/f02xufe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/f02xufe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">SVD of complex upper triangular matrix (Black Box)</td>
</tr>
</tbody>
</table></div><hr/><div><a class="chap" href="../../pdf/F02/f02conts.pdf">F02 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="f02intro.xml">F02 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div>
<div><hr/><a class="genint" href="../FRONTMATTER/copyright.xml">&#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2009</a></div></body></html>