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<title>GNU Scientific Library &ndash; Reference Manual: Sorting Eigenvalues and Eigenvectors</title>

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<a name="Sorting-Eigenvalues-and-Eigenvectors"></a>
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<p>
Next: <a href="Eigenvalue-and-Eigenvector-Examples.html#Eigenvalue-and-Eigenvector-Examples" accesskey="n" rel="next">Eigenvalue and Eigenvector Examples</a>, Previous: <a href="Real-Generalized-Nonsymmetric-Eigensystems.html#Real-Generalized-Nonsymmetric-Eigensystems" accesskey="p" rel="previous">Real Generalized Nonsymmetric Eigensystems</a>, Up: <a href="Eigensystems.html#Eigensystems" accesskey="u" rel="up">Eigensystems</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Sorting-Eigenvalues-and-Eigenvectors-1"></a>
<h3 class="section">15.7 Sorting Eigenvalues and Eigenvectors</h3>
<a name="index-sorting-eigenvalues-and-eigenvectors"></a>

<dl>
<dt><a name="index-gsl_005feigen_005fsymmv_005fsort"></a>Function: <em>int</em> <strong>gsl_eigen_symmv_sort</strong> <em>(gsl_vector * <var>eval</var>, gsl_matrix * <var>evec</var>, gsl_eigen_sort_t <var>sort_type</var>)</em></dt>
<dd><p>This function simultaneously sorts the eigenvalues stored in the vector
<var>eval</var> and the corresponding real eigenvectors stored in the columns
of the matrix <var>evec</var> into ascending or descending order according to
the value of the parameter <var>sort_type</var>,
</p>
<dl compact="compact">
<dt><code>GSL_EIGEN_SORT_VAL_ASC</code></dt>
<dd><p>ascending order in numerical value
</p></dd>
<dt><code>GSL_EIGEN_SORT_VAL_DESC</code></dt>
<dd><p>descending order in numerical value
</p></dd>
<dt><code>GSL_EIGEN_SORT_ABS_ASC</code></dt>
<dd><p>ascending order in magnitude
</p></dd>
<dt><code>GSL_EIGEN_SORT_ABS_DESC</code></dt>
<dd><p>descending order in magnitude
</p></dd>
</dl>

</dd></dl>

<dl>
<dt><a name="index-gsl_005feigen_005fhermv_005fsort"></a>Function: <em>int</em> <strong>gsl_eigen_hermv_sort</strong> <em>(gsl_vector * <var>eval</var>, gsl_matrix_complex * <var>evec</var>, gsl_eigen_sort_t <var>sort_type</var>)</em></dt>
<dd><p>This function simultaneously sorts the eigenvalues stored in the vector
<var>eval</var> and the corresponding complex eigenvectors stored in the
columns of the matrix <var>evec</var> into ascending or descending order
according to the value of the parameter <var>sort_type</var> as shown above.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005feigen_005fnonsymmv_005fsort"></a>Function: <em>int</em> <strong>gsl_eigen_nonsymmv_sort</strong> <em>(gsl_vector_complex * <var>eval</var>, gsl_matrix_complex * <var>evec</var>, gsl_eigen_sort_t <var>sort_type</var>)</em></dt>
<dd><p>This function simultaneously sorts the eigenvalues stored in the vector
<var>eval</var> and the corresponding complex eigenvectors stored in the
columns of the matrix <var>evec</var> into ascending or descending order
according to the value of the parameter <var>sort_type</var> as shown above.
Only <code>GSL_EIGEN_SORT_ABS_ASC</code> and <code>GSL_EIGEN_SORT_ABS_DESC</code> are
supported due to the eigenvalues being complex.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005feigen_005fgensymmv_005fsort"></a>Function: <em>int</em> <strong>gsl_eigen_gensymmv_sort</strong> <em>(gsl_vector * <var>eval</var>, gsl_matrix * <var>evec</var>, gsl_eigen_sort_t <var>sort_type</var>)</em></dt>
<dd><p>This function simultaneously sorts the eigenvalues stored in the vector
<var>eval</var> and the corresponding real eigenvectors stored in the columns
of the matrix <var>evec</var> into ascending or descending order according to
the value of the parameter <var>sort_type</var> as shown above.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005feigen_005fgenhermv_005fsort"></a>Function: <em>int</em> <strong>gsl_eigen_genhermv_sort</strong> <em>(gsl_vector * <var>eval</var>, gsl_matrix_complex * <var>evec</var>, gsl_eigen_sort_t <var>sort_type</var>)</em></dt>
<dd><p>This function simultaneously sorts the eigenvalues stored in the vector
<var>eval</var> and the corresponding complex eigenvectors stored in the columns
of the matrix <var>evec</var> into ascending or descending order according to
the value of the parameter <var>sort_type</var> as shown above.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005feigen_005fgenv_005fsort"></a>Function: <em>int</em> <strong>gsl_eigen_genv_sort</strong> <em>(gsl_vector_complex * <var>alpha</var>, gsl_vector * <var>beta</var>, gsl_matrix_complex * <var>evec</var>, gsl_eigen_sort_t <var>sort_type</var>)</em></dt>
<dd><p>This function simultaneously sorts the eigenvalues stored in the vectors
(<var>alpha</var>, <var>beta</var>) and the corresponding complex eigenvectors
stored in the columns of the matrix <var>evec</var> into ascending or
descending order according to the value of the parameter <var>sort_type</var>
as shown above. Only <code>GSL_EIGEN_SORT_ABS_ASC</code> and
<code>GSL_EIGEN_SORT_ABS_DESC</code> are supported due to the eigenvalues being
complex.
</p></dd></dl>




<hr>
<div class="header">
<p>
Next: <a href="Eigenvalue-and-Eigenvector-Examples.html#Eigenvalue-and-Eigenvector-Examples" accesskey="n" rel="next">Eigenvalue and Eigenvector Examples</a>, Previous: <a href="Real-Generalized-Nonsymmetric-Eigensystems.html#Real-Generalized-Nonsymmetric-Eigensystems" accesskey="p" rel="previous">Real Generalized Nonsymmetric Eigensystems</a>, Up: <a href="Eigensystems.html#Eigensystems" accesskey="u" rel="up">Eigensystems</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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