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
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
|
<!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: Level 3 GSL BLAS Interface</title>
<meta name="description" content="GNU Scientific Library – Reference Manual: Level 3 GSL BLAS Interface">
<meta name="keywords" content="GNU Scientific Library – Reference Manual: Level 3 GSL BLAS Interface">
<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="GSL-BLAS-Interface.html#GSL-BLAS-Interface" rel="up" title="GSL BLAS Interface">
<link href="BLAS-Examples.html#BLAS-Examples" rel="next" title="BLAS Examples">
<link href="Level-2-GSL-BLAS-Interface.html#Level-2-GSL-BLAS-Interface" rel="previous" title="Level 2 GSL BLAS Interface">
<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="Level-3-GSL-BLAS-Interface"></a>
<div class="header">
<p>
Previous: <a href="Level-2-GSL-BLAS-Interface.html#Level-2-GSL-BLAS-Interface" accesskey="p" rel="previous">Level 2 GSL BLAS Interface</a>, Up: <a href="GSL-BLAS-Interface.html#GSL-BLAS-Interface" accesskey="u" rel="up">GSL BLAS Interface</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Level-3"></a>
<h4 class="subsection">13.1.3 Level 3</h4>
<dl>
<dt><a name="index-gsl_005fblas_005fsgemm"></a>Function: <em>int</em> <strong>gsl_blas_sgemm</strong> <em>(CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_TRANSPOSE_t <var>TransB</var>, float <var>alpha</var>, const gsl_matrix_float * <var>A</var>, const gsl_matrix_float * <var>B</var>, float <var>beta</var>, gsl_matrix_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fdgemm"></a>Function: <em>int</em> <strong>gsl_blas_dgemm</strong> <em>(CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_TRANSPOSE_t <var>TransB</var>, double <var>alpha</var>, const gsl_matrix * <var>A</var>, const gsl_matrix * <var>B</var>, double <var>beta</var>, gsl_matrix * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fcgemm"></a>Function: <em>int</em> <strong>gsl_blas_cgemm</strong> <em>(CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_TRANSPOSE_t <var>TransB</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, const gsl_matrix_complex_float * <var>B</var>, const gsl_complex_float <var>beta</var>, gsl_matrix_complex_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fzgemm"></a>Function: <em>int</em> <strong>gsl_blas_zgemm</strong> <em>(CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_TRANSPOSE_t <var>TransB</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, const gsl_matrix_complex * <var>B</var>, const gsl_complex <var>beta</var>, gsl_matrix_complex * <var>C</var>)</em></dt>
<dd><a name="index-GEMM_002c-Level_002d3-BLAS"></a>
<p>These functions compute the matrix-matrix product and sum <em>C =
\alpha op(A) op(B) + \beta C</em> where <em>op(A) = A</em>, <em>A^T</em>,
<em>A^H</em> for <var>TransA</var> = <code>CblasNoTrans</code>, <code>CblasTrans</code>,
<code>CblasConjTrans</code> and similarly for the parameter <var>TransB</var>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fssymm"></a>Function: <em>int</em> <strong>gsl_blas_ssymm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, float <var>alpha</var>, const gsl_matrix_float * <var>A</var>, const gsl_matrix_float * <var>B</var>, float <var>beta</var>, gsl_matrix_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fdsymm"></a>Function: <em>int</em> <strong>gsl_blas_dsymm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, double <var>alpha</var>, const gsl_matrix * <var>A</var>, const gsl_matrix * <var>B</var>, double <var>beta</var>, gsl_matrix * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fcsymm"></a>Function: <em>int</em> <strong>gsl_blas_csymm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, const gsl_matrix_complex_float * <var>B</var>, const gsl_complex_float <var>beta</var>, gsl_matrix_complex_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fzsymm"></a>Function: <em>int</em> <strong>gsl_blas_zsymm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, const gsl_matrix_complex * <var>B</var>, const gsl_complex <var>beta</var>, gsl_matrix_complex * <var>C</var>)</em></dt>
<dd><a name="index-SYMM_002c-Level_002d3-BLAS"></a>
<p>These functions compute the matrix-matrix product and sum <em>C =
\alpha A B + \beta C</em> for <var>Side</var> is <code>CblasLeft</code> and <em>C =
\alpha B A + \beta C</em> for <var>Side</var> is <code>CblasRight</code>, where the
matrix <var>A</var> is symmetric. When <var>Uplo</var> is <code>CblasUpper</code> then
the upper triangle and diagonal of <var>A</var> are used, and when <var>Uplo</var>
is <code>CblasLower</code> then the lower triangle and diagonal of <var>A</var> are
used.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fchemm"></a>Function: <em>int</em> <strong>gsl_blas_chemm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, const gsl_matrix_complex_float * <var>B</var>, const gsl_complex_float <var>beta</var>, gsl_matrix_complex_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fzhemm"></a>Function: <em>int</em> <strong>gsl_blas_zhemm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, const gsl_matrix_complex * <var>B</var>, const gsl_complex <var>beta</var>, gsl_matrix_complex * <var>C</var>)</em></dt>
<dd><a name="index-HEMM_002c-Level_002d3-BLAS"></a>
<p>These functions compute the matrix-matrix product and sum <em>C =
\alpha A B + \beta C</em> for <var>Side</var> is <code>CblasLeft</code> and <em>C =
\alpha B A + \beta C</em> for <var>Side</var> is <code>CblasRight</code>, where the
matrix <var>A</var> is hermitian. When <var>Uplo</var> is <code>CblasUpper</code> then
the upper triangle and diagonal of <var>A</var> are used, and when <var>Uplo</var>
is <code>CblasLower</code> then the lower triangle and diagonal of <var>A</var> are
used. The imaginary elements of the diagonal are automatically set to
zero.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fstrmm"></a>Function: <em>int</em> <strong>gsl_blas_strmm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, float <var>alpha</var>, const gsl_matrix_float * <var>A</var>, gsl_matrix_float * <var>B</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fdtrmm"></a>Function: <em>int</em> <strong>gsl_blas_dtrmm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, double <var>alpha</var>, const gsl_matrix * <var>A</var>, gsl_matrix * <var>B</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fctrmm"></a>Function: <em>int</em> <strong>gsl_blas_ctrmm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, gsl_matrix_complex_float * <var>B</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fztrmm"></a>Function: <em>int</em> <strong>gsl_blas_ztrmm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, gsl_matrix_complex * <var>B</var>)</em></dt>
<dd><a name="index-TRMM_002c-Level_002d3-BLAS"></a>
<p>These functions compute the matrix-matrix product <em>B = \alpha op(A)
B</em> for <var>Side</var> is <code>CblasLeft</code> and <em>B = \alpha B op(A)</em> for
<var>Side</var> is <code>CblasRight</code>. The matrix <var>A</var> is triangular and
<em>op(A) = A</em>, <em>A^T</em>, <em>A^H</em> for <var>TransA</var> =
<code>CblasNoTrans</code>, <code>CblasTrans</code>, <code>CblasConjTrans</code>. When
<var>Uplo</var> is <code>CblasUpper</code> then the upper triangle of <var>A</var> is
used, and when <var>Uplo</var> is <code>CblasLower</code> then the lower triangle
of <var>A</var> is used. If <var>Diag</var> is <code>CblasNonUnit</code> then the
diagonal of <var>A</var> is used, but if <var>Diag</var> is <code>CblasUnit</code> then
the diagonal elements of the matrix <var>A</var> are taken as unity and are
not referenced.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fstrsm"></a>Function: <em>int</em> <strong>gsl_blas_strsm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, float <var>alpha</var>, const gsl_matrix_float * <var>A</var>, gsl_matrix_float * <var>B</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fdtrsm"></a>Function: <em>int</em> <strong>gsl_blas_dtrsm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, double <var>alpha</var>, const gsl_matrix * <var>A</var>, gsl_matrix * <var>B</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fctrsm"></a>Function: <em>int</em> <strong>gsl_blas_ctrsm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, gsl_matrix_complex_float * <var>B</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fztrsm"></a>Function: <em>int</em> <strong>gsl_blas_ztrsm</strong> <em>(CBLAS_SIDE_t <var>Side</var>, CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>TransA</var>, CBLAS_DIAG_t <var>Diag</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, gsl_matrix_complex * <var>B</var>)</em></dt>
<dd><a name="index-TRSM_002c-Level_002d3-BLAS"></a>
<p>These functions compute the inverse-matrix matrix product
<em>B = \alpha op(inv(A))B</em> for <var>Side</var> is
<code>CblasLeft</code> and <em>B = \alpha B op(inv(A))</em> for
<var>Side</var> is <code>CblasRight</code>. The matrix <var>A</var> is triangular and
<em>op(A) = A</em>, <em>A^T</em>, <em>A^H</em> for <var>TransA</var> =
<code>CblasNoTrans</code>, <code>CblasTrans</code>, <code>CblasConjTrans</code>. When
<var>Uplo</var> is <code>CblasUpper</code> then the upper triangle of <var>A</var> is
used, and when <var>Uplo</var> is <code>CblasLower</code> then the lower triangle
of <var>A</var> is used. If <var>Diag</var> is <code>CblasNonUnit</code> then the
diagonal of <var>A</var> is used, but if <var>Diag</var> is <code>CblasUnit</code> then
the diagonal elements of the matrix <var>A</var> are taken as unity and are
not referenced.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fssyrk"></a>Function: <em>int</em> <strong>gsl_blas_ssyrk</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, float <var>alpha</var>, const gsl_matrix_float * <var>A</var>, float <var>beta</var>, gsl_matrix_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fdsyrk"></a>Function: <em>int</em> <strong>gsl_blas_dsyrk</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, double <var>alpha</var>, const gsl_matrix * <var>A</var>, double <var>beta</var>, gsl_matrix * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fcsyrk"></a>Function: <em>int</em> <strong>gsl_blas_csyrk</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, const gsl_complex_float <var>beta</var>, gsl_matrix_complex_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fzsyrk"></a>Function: <em>int</em> <strong>gsl_blas_zsyrk</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, const gsl_complex <var>beta</var>, gsl_matrix_complex * <var>C</var>)</em></dt>
<dd><a name="index-SYRK_002c-Level_002d3-BLAS"></a>
<p>These functions compute a rank-k update of the symmetric matrix <var>C</var>,
<em>C = \alpha A A^T + \beta C</em> when <var>Trans</var> is
<code>CblasNoTrans</code> and <em>C = \alpha A^T A + \beta C</em> when
<var>Trans</var> is <code>CblasTrans</code>. Since the matrix <var>C</var> is symmetric
only its upper half or lower half need to be stored. When <var>Uplo</var> is
<code>CblasUpper</code> then the upper triangle and diagonal of <var>C</var> are
used, and when <var>Uplo</var> is <code>CblasLower</code> then the lower triangle
and diagonal of <var>C</var> are used.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fcherk"></a>Function: <em>int</em> <strong>gsl_blas_cherk</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, float <var>beta</var>, gsl_matrix_complex_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fzherk"></a>Function: <em>int</em> <strong>gsl_blas_zherk</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, double <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, double <var>beta</var>, gsl_matrix_complex * <var>C</var>)</em></dt>
<dd><a name="index-HERK_002c-Level_002d3-BLAS"></a>
<p>These functions compute a rank-k update of the hermitian matrix <var>C</var>,
<em>C = \alpha A A^H + \beta C</em> when <var>Trans</var> is
<code>CblasNoTrans</code> and <em>C = \alpha A^H A + \beta C</em> when
<var>Trans</var> is <code>CblasConjTrans</code>. Since the matrix <var>C</var> is hermitian
only its upper half or lower half need to be stored. When <var>Uplo</var> is
<code>CblasUpper</code> then the upper triangle and diagonal of <var>C</var> are
used, and when <var>Uplo</var> is <code>CblasLower</code> then the lower triangle
and diagonal of <var>C</var> are used. The imaginary elements of the
diagonal are automatically set to zero.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fssyr2k"></a>Function: <em>int</em> <strong>gsl_blas_ssyr2k</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, float <var>alpha</var>, const gsl_matrix_float * <var>A</var>, const gsl_matrix_float * <var>B</var>, float <var>beta</var>, gsl_matrix_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fdsyr2k"></a>Function: <em>int</em> <strong>gsl_blas_dsyr2k</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, double <var>alpha</var>, const gsl_matrix * <var>A</var>, const gsl_matrix * <var>B</var>, double <var>beta</var>, gsl_matrix * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fcsyr2k"></a>Function: <em>int</em> <strong>gsl_blas_csyr2k</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, const gsl_matrix_complex_float * <var>B</var>, const gsl_complex_float <var>beta</var>, gsl_matrix_complex_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fzsyr2k"></a>Function: <em>int</em> <strong>gsl_blas_zsyr2k</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, const gsl_matrix_complex * <var>B</var>, const gsl_complex <var>beta</var>, gsl_matrix_complex * <var>C</var>)</em></dt>
<dd><a name="index-SYR2K_002c-Level_002d3-BLAS"></a>
<p>These functions compute a rank-2k update of the symmetric matrix <var>C</var>,
<em>C = \alpha A B^T + \alpha B A^T + \beta C</em> when <var>Trans</var> is
<code>CblasNoTrans</code> and <em>C = \alpha A^T B + \alpha B^T A + \beta C</em> when
<var>Trans</var> is <code>CblasTrans</code>. Since the matrix <var>C</var> is symmetric
only its upper half or lower half need to be stored. When <var>Uplo</var> is
<code>CblasUpper</code> then the upper triangle and diagonal of <var>C</var> are
used, and when <var>Uplo</var> is <code>CblasLower</code> then the lower triangle
and diagonal of <var>C</var> are used.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fblas_005fcher2k"></a>Function: <em>int</em> <strong>gsl_blas_cher2k</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, const gsl_complex_float <var>alpha</var>, const gsl_matrix_complex_float * <var>A</var>, const gsl_matrix_complex_float * <var>B</var>, float <var>beta</var>, gsl_matrix_complex_float * <var>C</var>)</em></dt>
<dt><a name="index-gsl_005fblas_005fzher2k"></a>Function: <em>int</em> <strong>gsl_blas_zher2k</strong> <em>(CBLAS_UPLO_t <var>Uplo</var>, CBLAS_TRANSPOSE_t <var>Trans</var>, const gsl_complex <var>alpha</var>, const gsl_matrix_complex * <var>A</var>, const gsl_matrix_complex * <var>B</var>, double <var>beta</var>, gsl_matrix_complex * <var>C</var>)</em></dt>
<dd><a name="index-HER2K_002c-Level_002d3-BLAS"></a>
<p>These functions compute a rank-2k update of the hermitian matrix <var>C</var>,
<em>C = \alpha A B^H + \alpha^* B A^H + \beta C</em> when <var>Trans</var> is
<code>CblasNoTrans</code> and <em>C = \alpha A^H B + \alpha^* B^H A + \beta C</em> when
<var>Trans</var> is <code>CblasConjTrans</code>. Since the matrix <var>C</var> is hermitian
only its upper half or lower half need to be stored. When <var>Uplo</var> is
<code>CblasUpper</code> then the upper triangle and diagonal of <var>C</var> are
used, and when <var>Uplo</var> is <code>CblasLower</code> then the lower triangle
and diagonal of <var>C</var> are used. The imaginary elements of the
diagonal are automatically set to zero.
</p></dd></dl>
<hr>
<div class="header">
<p>
Previous: <a href="Level-2-GSL-BLAS-Interface.html#Level-2-GSL-BLAS-Interface" accesskey="p" rel="previous">Level 2 GSL BLAS Interface</a>, Up: <a href="GSL-BLAS-Interface.html#GSL-BLAS-Interface" accesskey="u" rel="up">GSL BLAS Interface</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>
|
