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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235
|
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>lansp</title>
<link rel="stylesheet" href="../../../../boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<link rel="home" href="../../../../index.html" title="Chapter 1. Boost.Numeric_Bindings">
<link rel="up" href="../auxiliary_routines.html" title="Auxiliary Routines">
<link rel="prev" href="lansb.html" title="lansb">
<link rel="next" href="lansy.html" title="lansy">
</head>
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
<table cellpadding="2" width="100%"><tr><td valign="top"></td></tr></table>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="lansb.html"><img src="../../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../auxiliary_routines.html"><img src="../../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../images/home.png" alt="Home"></a><a accesskey="n" href="lansy.html"><img src="../../../../images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="titlepage"><div><div><h5 class="title">
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp"></a><a class="link" href="lansp.html" title="lansp">lansp</a>
</h5></div></div></div>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.prototype"></a><h6>
<a name="id1094335"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.prototype">Prototype</a>
</h6>
<p>
There is one prototype of <code class="computeroutput"><span class="identifier">lansp</span></code>
available, please see below.
</p>
<pre class="programlisting"><span class="identifier">lansp</span><span class="special">(</span> <span class="keyword">const</span> <span class="keyword">char</span> <span class="identifier">norm</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">MatrixAP</span><span class="special">&</span> <span class="identifier">ap</span> <span class="special">);</span>
</pre>
<p>
</p>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.description"></a><h6>
<a name="id1094449"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.description">Description</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">lansp</span></code> (short for $FRIENDLY_NAME)
provides a C++ interface to LAPACK routines SLANSP, DLANSP, CLANSP, and
ZLANSP. <code class="computeroutput"><span class="identifier">lansp</span></code> returns
the value of the one norm, or the Frobenius norm, or the infinity norm,
or the element of largest absolute value of a complex symmetric matrix
A, supplied in packed form.
</p>
<p>
Description <code class="literal">=</code><code class="literal">=</code><code class="literal">=</code>==
</p>
<p>
<code class="computeroutput"><span class="identifier">lansp</span></code> returns the value
</p>
<p>
<code class="computeroutput"><span class="identifier">lansp</span></code> = ( max(abs(A(i,j))),
NORM = 'M' or 'm' ( ( norm1(A), NORM = '1', 'O' or 'o' ( ( normI(A),
NORM = 'I' or 'i' ( ( normF(A), NORM = 'F', 'f', 'E' or 'e'
</p>
<p>
where norm1 denotes the one norm of a matrix (maximum column sum), normI
denotes the infinity norm of a matrix (maximum row sum) and normF denotes
the Frobenius norm of a matrix (square root of sum of squares). Note
that max(abs(A(i,j))) is not a consistent matrix norm.
</p>
<p>
The selection of the LAPACK routine is done during compile-time, and
is determined by the type of values contained in type <code class="computeroutput"><span class="identifier">MatrixAP</span></code>.
The type of values is obtained through the <code class="computeroutput"><span class="identifier">value_type</span></code>
meta-function <code class="computeroutput"><span class="keyword">typename</span> <span class="identifier">value_type</span><span class="special"><</span><span class="identifier">MatrixAP</span><span class="special">>::</span><span class="identifier">type</span></code>. The dispatching table below illustrates
to which specific routine the code path will be generated.
</p>
<div class="table">
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.dispatching_of_lansp"></a><p class="title"><b>Table 1.356. Dispatching of lansp</b></p>
<div class="table-contents"><table class="table" summary="Dispatching of lansp">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Value type of MatrixAP
</p>
</th>
<th>
<p>
LAPACK routine
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="computeroutput"><span class="keyword">float</span></code>
</p>
</td>
<td>
<p>
SLANSP
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="keyword">double</span></code>
</p>
</td>
<td>
<p>
DLANSP
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">complex</span><span class="special"><</span><span class="keyword">float</span><span class="special">></span></code>
</p>
</td>
<td>
<p>
CLANSP
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">complex</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span></code>
</p>
</td>
<td>
<p>
ZLANSP
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.definition"></a><h6>
<a name="id1094846"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.definition">Definition</a>
</h6>
<p>
Defined in header <code class="computeroutput">boost/numeric/bindings/lapack/auxiliary/lansp.hpp</code>.
</p>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.parameters_or_requirements_on_types"></a><h6>
<a name="id1094886"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.parameters_or_requirements_on_types">Parameters
or Requirements on Types</a>
</h6>
<div class="variablelist">
<p class="title"><b>Parameters</b></p>
<dl>
<dt><span class="term">MatrixA</span></dt>
<dd><p>
The definition of term 1
</p></dd>
<dt><span class="term">MatrixB</span></dt>
<dd><p>
The definition of term 2
</p></dd>
<dt><span class="term">MatrixC</span></dt>
<dd>
<p>
The definition of term 3.
</p>
<p>
Definitions may contain paragraphs.
</p>
</dd>
</dl>
</div>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.complexity"></a><h6>
<a name="id1094973"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.complexity">Complexity</a>
</h6>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.example"></a><h6>
<a name="id1094999"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.example">Example</a>
</h6>
<p>
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">numeric</span><span class="special">/</span><span class="identifier">bindings</span><span class="special">/</span><span class="identifier">lapack</span><span class="special">/</span><span class="identifier">auxiliary</span><span class="special">/</span><span class="identifier">lansp</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">numeric</span><span class="special">::</span><span class="identifier">bindings</span><span class="special">;</span>
<span class="identifier">lapack</span><span class="special">::</span><span class="identifier">lansp</span><span class="special">(</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">y</span><span class="special">,</span> <span class="identifier">z</span> <span class="special">);</span>
</pre>
<p>
</p>
<p>
this will output
</p>
<p>
</p>
<pre class="programlisting"><span class="special">[</span><span class="number">5</span><span class="special">]</span> <span class="number">0</span> <span class="number">1</span> <span class="number">2</span> <span class="number">3</span> <span class="number">4</span> <span class="number">5</span>
</pre>
<p>
</p>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.notes"></a><h6>
<a name="id1095285"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.notes">Notes</a>
</h6>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.see_also"></a><h6>
<a name="id1095310"></a>
<a class="link" href="lansp.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.lansp.see_also">See
Also</a>
</h6>
<div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
Originating Fortran source files <a href="http://www.netlib.org/lapack/single/slansp.f" target="_top">slansp.f</a>,
<a href="http://www.netlib.org/lapack/double/dlansp.f" target="_top">dlansp.f</a>,
<a href="http://www.netlib.org/lapack/complex/clansp.f" target="_top">clansp.f</a>,
and <a href="http://www.netlib.org/lapack/complex16/zlansp.f" target="_top">zlansp.f</a>
at Netlib.
</li></ul></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2002 -2009 Rutger ter Borg, Krešimir Fresl, Thomas Klimpel,
Toon Knapen, Karl Meerbergen<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div></td>
</tr></table>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="lansb.html"><img src="../../../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../auxiliary_routines.html"><img src="../../../../images/up.png" alt="Up"></a><a accesskey="h" href="../../../../index.html"><img src="../../../../images/home.png" alt="Home"></a><a accesskey="n" href="lansy.html"><img src="../../../../images/next.png" alt="Next"></a>
</div>
</body>
</html>
|