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<title>The Lapack class</title>
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<h1 class="title">The Lapack class</h1>
<div class="partintro"><p class="verinfo">(PECL lapack >= 0.1.0)</p>
<div class="section" id="lapack.intro">
<h2 class="title">Introduction</h2>
<p class="para">
LAPACK is written in Fortran 90 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. This extension wraps the LAPACKE C bindings to allow access to several processes exposed by the library. Most functions work with arrays of arrays, representing rectangular matrices in row major order - so a two by two matrix [1 2; 3 4] would be array(array(1, 2), array(3, 4)).
</p>
<p class="para">All of the functions are called statically, for example $eig = Lapack::eigenvalues($a);</p>
</div>
<div class="section" id="lapack.synopsis">
<h2 class="title">Class synopsis</h2>
<div class="classsynopsis">
<div class="ooclass"></div>
<div class="classsynopsisinfo">
<span class="ooclass">
<strong class="classname">Lapack</strong>
</span>
{</div>
<div class="classsynopsisinfo classsynopsisinfo_comment">/* Methods */</div>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><a href="lapack.eigenvalues.html" class="methodname">eigenValues</a></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
[, <span class="methodparam"><span class="type">array</span> <code class="parameter">$left</code></span>
[, <span class="methodparam"><span class="type">array</span> <code class="parameter">$right</code></span>
]] )</div>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><a href="lapack.identity.html" class="methodname">identity</a></span>
( <span class="methodparam"><span class="type">int</span> <code class="parameter">$n</code></span>
)</div>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><a href="lapack.leastsquaresbyfactorisation.html" class="methodname">leastSquaresByFactorisation</a></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
, <span class="methodparam"><span class="type">array</span> <code class="parameter">$b</code></span>
)</div>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><a href="lapack.leastsquaresbysvd.html" class="methodname">leastSquaresBySVD</a></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
, <span class="methodparam"><span class="type">array</span> <code class="parameter">$b</code></span>
)</div>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><a href="lapack.pseudoinverse.html" class="methodname">pseudoInverse</a></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
)</div>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><a href="lapack.singularvalues.html" class="methodname">singularValues</a></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
)</div>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><a href="lapack.solvelinearequation.html" class="methodname">solveLinearEquation</a></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
, <span class="methodparam"><span class="type">array</span> <code class="parameter">$b</code></span>
)</div>
}</div>
</div>
</div>
<h2>Table of Contents</h2><ul class="chunklist chunklist_reference"><li><a href="lapack.eigenvalues.html">Lapack::eigenValues</a> — This function returns the eigenvalues for a given square matrix</li><li><a href="lapack.identity.html">Lapack::identity</a> — Return an identity matrix</li><li><a href="lapack.leastsquaresbyfactorisation.html">Lapack::leastSquaresByFactorisation</a> — Calculate the linear least squares solution of a matrix using QR factorisation</li><li><a href="lapack.leastsquaresbysvd.html">Lapack::leastSquaresBySVD</a> — Solve the linear least squares problem, using SVD</li><li><a href="lapack.pseudoinverse.html">Lapack::pseudoInverse</a> — Calculate the inverse of a matrix</li><li><a href="lapack.singularvalues.html">Lapack::singularValues</a> — Calculated the singular values of a matrix</li><li><a href="lapack.solvelinearequation.html">Lapack::solveLinearEquation</a> — Solve a system of linear equations</li></ul>
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