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<title>Sorting Eigenvalues and Eigenvectors - GNU Scientific Library -- Reference Manual</title>
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<a name="Sorting-Eigenvalues-and-Eigenvectors"></a>
Next: <a rel="next" accesskey="n" href="Eigenvalue-and-Eigenvector-Examples.html">Eigenvalue and Eigenvector Examples</a>,
Previous: <a rel="previous" accesskey="p" href="Real-Generalized-Nonsymmetric-Eigensystems.html">Real Generalized Nonsymmetric Eigensystems</a>,
Up: <a rel="up" accesskey="u" href="Eigensystems.html">Eigensystems</a>
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<h3 class="section">14.7 Sorting Eigenvalues and Eigenvectors</h3>
<p><a name="index-sorting-eigenvalues-and-eigenvectors-1382"></a>
<div class="defun">
— Function: int <b>gsl_eigen_symmv_sort</b> (<var>gsl_vector * eval, gsl_matrix * evec, gsl_eigen_sort_t sort_type</var>)<var><a name="index-gsl_005feigen_005fsymmv_005fsort-1383"></a></var><br>
<blockquote><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>,
<dl>
<dt><code>GSL_EIGEN_SORT_VAL_ASC</code><dd>ascending order in numerical value
<br><dt><code>GSL_EIGEN_SORT_VAL_DESC</code><dd>descending order in numerical value
<br><dt><code>GSL_EIGEN_SORT_ABS_ASC</code><dd>ascending order in magnitude
<br><dt><code>GSL_EIGEN_SORT_ABS_DESC</code><dd>descending order in magnitude
</dl>
</blockquote></div>
<div class="defun">
— Function: int <b>gsl_eigen_hermv_sort</b> (<var>gsl_vector * eval, gsl_matrix_complex * evec, gsl_eigen_sort_t sort_type</var>)<var><a name="index-gsl_005feigen_005fhermv_005fsort-1384"></a></var><br>
<blockquote><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></blockquote></div>
<div class="defun">
— Function: int <b>gsl_eigen_nonsymmv_sort</b> (<var>gsl_vector_complex * eval, gsl_matrix_complex * evec, gsl_eigen_sort_t sort_type</var>)<var><a name="index-gsl_005feigen_005fnonsymmv_005fsort-1385"></a></var><br>
<blockquote><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></blockquote></div>
<div class="defun">
— Function: int <b>gsl_eigen_gensymmv_sort</b> (<var>gsl_vector * eval, gsl_matrix * evec, gsl_eigen_sort_t sort_type</var>)<var><a name="index-gsl_005feigen_005fgensymmv_005fsort-1386"></a></var><br>
<blockquote><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></blockquote></div>
<div class="defun">
— Function: int <b>gsl_eigen_genhermv_sort</b> (<var>gsl_vector * eval, gsl_matrix_complex * evec, gsl_eigen_sort_t sort_type</var>)<var><a name="index-gsl_005feigen_005fgenhermv_005fsort-1387"></a></var><br>
<blockquote><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></blockquote></div>
<div class="defun">
— Function: int <b>gsl_eigen_genv_sort</b> (<var>gsl_vector_complex * alpha, gsl_vector * beta, gsl_matrix_complex * evec, gsl_eigen_sort_t sort_type</var>)<var><a name="index-gsl_005feigen_005fgenv_005fsort-1388"></a></var><br>
<blockquote><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></blockquote></div>
<!-- @deftypefun int gsl_eigen_jacobi (gsl_matrix * @var{matrix}, gsl_vector * @var{eval}, gsl_matrix * @var{evec}, unsigned int @var{max_rot}, unsigned int * @var{nrot}) -->
<!-- This function finds the eigenvectors and eigenvalues of a real symmetric -->
<!-- matrix by Jacobi iteration. The data in the input matrix is destroyed. -->
<!-- @end deftypefun -->
<!-- @deftypefun int gsl_la_invert_jacobi (const gsl_matrix * @var{matrix}, gsl_matrix * @var{ainv}, unsigned int @var{max_rot}) -->
<!-- Invert a matrix by Jacobi iteration. -->
<!-- @end deftypefun -->
<!-- @deftypefun int gsl_eigen_sort (gsl_vector * @var{eval}, gsl_matrix * @var{evec}, gsl_eigen_sort_t @var{sort_type}) -->
<!-- This functions sorts the eigensystem results based on eigenvalues. -->
<!-- Sorts in order of increasing value or increasing -->
<!-- absolute value, depending on the value of -->
<!-- @var{sort_type}, which can be @code{GSL_EIGEN_SORT_VALUE} -->
<!-- or @code{GSL_EIGEN_SORT_ABSVALUE}. -->
<!-- @end deftypefun -->
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