1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016 The GSL Team.
Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3 or
any later version published by the Free Software Foundation; with the
Invariant Sections being "GNU General Public License" and "Free Software
Needs Free Documentation", the Front-Cover text being "A GNU Manual",
and with the Back-Cover Text being (a) (see below). A copy of the
license is included in the section entitled "GNU Free Documentation
License".
(a) The Back-Cover Text is: "You have the freedom to copy and modify this
GNU Manual." -->
<!-- Created by GNU Texinfo 5.1, http://www.gnu.org/software/texinfo/ -->
<head>
<title>GNU Scientific Library – Reference Manual: Sorting Eigenvalues and Eigenvectors</title>
<meta name="description" content="GNU Scientific Library – Reference Manual: Sorting Eigenvalues and Eigenvectors">
<meta name="keywords" content="GNU Scientific Library – Reference Manual: Sorting Eigenvalues and Eigenvectors">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<link href="index.html#Top" rel="start" title="Top">
<link href="Function-Index.html#Function-Index" rel="index" title="Function Index">
<link href="Eigensystems.html#Eigensystems" rel="up" title="Eigensystems">
<link href="Eigenvalue-and-Eigenvector-Examples.html#Eigenvalue-and-Eigenvector-Examples" rel="next" title="Eigenvalue and Eigenvector Examples">
<link href="Real-Generalized-Nonsymmetric-Eigensystems.html#Real-Generalized-Nonsymmetric-Eigensystems" rel="previous" title="Real Generalized Nonsymmetric Eigensystems">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.indentedblock {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
div.smalllisp {margin-left: 3.2em}
kbd {font-style:oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nocodebreak {white-space:nowrap}
span.nolinebreak {white-space:nowrap}
span.roman {font-family:serif; font-weight:normal}
span.sansserif {font-family:sans-serif; font-weight:normal}
ul.no-bullet {list-style: none}
-->
</style>
</head>
<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Sorting-Eigenvalues-and-Eigenvectors"></a>
<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> [<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> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>
|
