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<html xmlns="http://www.w3.org/1999/xhtml" xml:space="preserve"><head><title>C Library, Mark 7 : f02 Chapter Contents</title><link rel="stylesheet" href="../styles/libdoc.css" type="text/css"/></head><body bgcolor="#FFFFFF"><hr/><div><a href="f02_intro.xml">Chapter Introduction</a></div><div><a href="../mark7.xml">NAG C Library Contents</a></div><hr/><img src="../images/topbar/title_numeric_cl.gif" alt="NAG C Library" hspace="0" width="506" height="117" border="0"/>
   <h2><a name="f02"/>f02 &#8211; Eigenvalues and Eigenvectors</h2>
         <div class="paramtext">
            <a class="secref" href="../F02/f02_intro.xml">f02</a> Chapter Introduction
         </div>
         <div><table class="contents">
               
               
               
               <tbody>
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                     <td class="contents" align="left" valign="top">
                        <b>Routine<br/>Name</b>
                     </td>
                     <td class="contents" align="left" valign="top">
                        <b>Mark of<br/>Introduction</b>
                     </td>
                     <td class="contents" align="left" valign="top">
                        <b>
                           <br/>Purpose</b>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02aac.xml">f02aac</a>
                        <br/><a class="tocexample" href="../../examples/source/f02aace.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02aace.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02aac.xml">nag_real_symm_eigenvalues</a>
                        <br/>All <span class="keyword">eigenvalues</span> of real <span class="keyword">symmetric</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02abc.xml">f02abc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02abce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02abce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02abc.xml">nag_real_symm_eigensystem</a>
                        <br/>All <span class="keyword">eigenvalues</span> and <span class="keyword">eigenvectors</span> of real <span class="keyword">symmetric</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02adc.xml">f02adc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02adce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02adce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02adc.xml">nag_real_symm_general_eigenvalues</a>
                        <br/>All <span class="keyword">eigenvalues</span> of <span class="keyword">generalized</span> real <span class="keyword">symmetric-definite</span> 
                        <span class="keyword">eigenproblem</span>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02aec.xml">f02aec</a>
                        <br/><a class="tocexample" href="../../examples/source/f02aece.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02aece.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02aec.xml">nag_real_symm_general_eigensystem</a>
                        <br/>All <span class="keyword">eigenvalues</span> and <span class="keyword">eigenvectors</span> of <span class="keyword">generalized</span> real <span class="keyword">symmetric-definite</span> 
                        <span class="keyword">eigenproblem</span>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02afc.xml">f02afc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02afce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02afce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02afc.xml">nag_real_eigenvalues</a>
                        <br/>All <span class="keyword">eigenvalues</span> of real matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02agc.xml">f02agc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02agce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02agce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02agc.xml">nag_real_eigensystem</a>
                        <br/>All <span class="keyword">eigenvalues</span> and <span class="keyword">eigenvectors</span> of real matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02awc.xml">f02awc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02awce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02awce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">2</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02awc.xml">nag_hermitian_eigenvalues</a>
                        <br/>All <span class="keyword">eigenvalues</span> of <span class="keyword">complex</span> 
                        <span class="keyword">Hermitian</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02axc.xml">f02axc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02axce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02axce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">2</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02axc.xml">nag_hermitian_eigensystem</a>
                        <br/>All <span class="keyword">eigenvalues</span> and <span class="keyword">eigenvectors</span> of <span class="keyword">complex</span> 
                        <span class="keyword">Hermitian</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02bjc.xml">f02bjc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02bjce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02bjce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">2</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02bjc.xml">nag_real_general_eigensystem</a>
                        <br/>All <span class="keyword">eigenvalues</span> and optionally <span class="keyword">eigenvectors</span> of real <span class="keyword">generalized</span> 
                        <span class="keyword">eigenproblem</span>, by <span class="keyword">
                           <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                              <mi>Q</mi>
                              <mi>Z</mi>
                           </math>&#160;                        </span> algorithm</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02ecc.xml">f02ecc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02ecce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02ecce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">5</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02ecc.xml">nag_real_eigensystem_sel</a>
                        <br/>Computes <span class="keyword">selected</span> 
                        <span class="keyword">eigenvalues</span> and <span class="keyword">eigenvectors</span> of a real general matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02gcc.xml">f02gcc</a>
                        <br/><a class="tocexample" href="../../examples/source/f02gcce.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02gcce.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">5</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02gcc.xml">nag_complex_eigensystem_sel</a>
                        <br/>Computes <span class="keyword">selected</span> 
                        <span class="keyword">eigenvalues</span> and <span class="keyword">eigenvectors</span> of a <span class="keyword">complex</span> general matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02wec.xml">f02wec</a>
                        <br/><a class="tocexample" href="../../examples/source/f02wece.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02wece.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02wec.xml">nag_real_svd</a>
                        <br/>
                        <span class="keyword">SVD</span> of real matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02xec.xml">f02xec</a>
                        <br/><a class="tocexample" href="../../examples/source/f02xece.c">Example&#160;Text</a>
                        <br/><a class="tocexample" href="../../examples/data/f02xece.d">Example&#160;Data</a>
                     </td>
                     <td class="contents" align="left" valign="top">1</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F02/f02xec.xml">nag_complex_svd</a>
                        <br/>
                        <span class="keyword">SVD</span> of <span class="keyword">complex</span> matrix</td>
                  </tr>
               </tbody>
            </table></div>
      
<hr/><div><a href="f02_intro.xml">Chapter Introduction</a></div><div><a href="../mark7.xml">NAG C Library Contents</a></div>
<div><hr/>
  &#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2004
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