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<div class="titlepage"><div><div><h5 class="title">
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd"></a><a class="link" href="latrd.html" title="latrd">latrd</a>
</h5></div></div></div>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.prototype"></a><h6>
<a name="id1107572"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.prototype">Prototype</a>
</h6>
<p>
There is one prototype of <code class="computeroutput"><span class="identifier">latrd</span></code>
available, please see below.
</p>
<pre class="programlisting"><span class="identifier">latrd</span><span class="special">(</span> <span class="keyword">const</span> <span class="identifier">int_t</span> <span class="identifier">nb</span><span class="special">,</span> <span class="identifier">MatrixA</span><span class="special">&</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">VectorE</span><span class="special">&</span> <span class="identifier">e</span><span class="special">,</span>
<span class="identifier">VectorTAU</span><span class="special">&</span> <span class="identifier">tau</span><span class="special">,</span> <span class="identifier">MatrixW</span><span class="special">&</span> <span class="identifier">w</span> <span class="special">);</span>
</pre>
<p>
</p>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.description"></a><h6>
<a name="id1107747"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.description">Description</a>
</h6>
<p>
<code class="computeroutput"><span class="identifier">latrd</span></code> (short for $FRIENDLY_NAME)
provides a C++ interface to LAPACK routines SLATRD, DLATRD, CLATRD, and
ZLATRD. <code class="computeroutput"><span class="identifier">latrd</span></code> reduces
NB rows and columns of a complex Hermitian matrix A to Hermitian tridiagonal
form by a unitary similarity transformation Q' * A * Q, and returns the
matrices V and W which are needed to apply the transformation to the
unreduced part of A.
</p>
<p>
If UPLO = 'U', <code class="computeroutput"><span class="identifier">latrd</span></code>
reduces the last NB rows and columns of a matrix, of which the upper
triangle is supplied; if UPLO = 'L', <code class="computeroutput"><span class="identifier">latrd</span></code>
reduces the first NB rows and columns of a matrix, of which the lower
triangle is supplied.
</p>
<p>
This is an auxiliary routine called by ZHETRD.
</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">MatrixA</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">MatrixA</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.latrd.dispatching_of_latrd"></a><p class="title"><b>Table 1.368. Dispatching of latrd</b></p>
<div class="table-contents"><table class="table" summary="Dispatching of latrd">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Value type of MatrixA
</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>
SLATRD
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="keyword">double</span></code>
</p>
</td>
<td>
<p>
DLATRD
</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>
CLATRD
</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>
ZLATRD
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.definition"></a><h6>
<a name="id1108114"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.definition">Definition</a>
</h6>
<p>
Defined in header <code class="computeroutput">boost/numeric/bindings/lapack/auxiliary/latrd.hpp</code>.
</p>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.parameters_or_requirements_on_types"></a><h6>
<a name="id1108154"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.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.latrd.complexity"></a><h6>
<a name="id1108242"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.complexity">Complexity</a>
</h6>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.example"></a><h6>
<a name="id1108268"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.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">latrd</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">latrd</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.latrd.notes"></a><h6>
<a name="id1108554"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.notes">Notes</a>
</h6>
<a name="boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.see_also"></a><h6>
<a name="id1108579"></a>
<a class="link" href="latrd.html#boost_numeric_bindings.reference.lapack.auxiliary_routines.latrd.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/slatrd.f" target="_top">slatrd.f</a>,
<a href="http://www.netlib.org/lapack/double/dlatrd.f" target="_top">dlatrd.f</a>,
<a href="http://www.netlib.org/lapack/complex/clatrd.f" target="_top">clatrd.f</a>,
and <a href="http://www.netlib.org/lapack/complex16/zlatrd.f" target="_top">zlatrd.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>
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