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<a name="Linear-Algebra"></a>
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<a name="Linear-Algebra-1"></a>
<h2 class="chapter">14 Linear Algebra</h2>
<a name="index-linear-algebra"></a>
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<a name="index-matrix-factorization"></a>
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<p>This chapter describes functions for solving linear systems. The
library provides linear algebra operations which operate directly on
the <code>gsl_vector</code> and <code>gsl_matrix</code> objects. These routines
use the standard algorithms from Golub & Van Loan’s <cite>Matrix
Computations</cite> with Level-1 and Level-2 BLAS calls for efficiency.
</p>
<p>The functions described in this chapter are declared in the header file
<samp>gsl_linalg.h</samp>.
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<tr><td align="left" valign="top">• <a href="LU-Decomposition.html#LU-Decomposition" accesskey="1">LU Decomposition</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
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<tr><td align="left" valign="top">• <a href="QR-Decomposition-with-Column-Pivoting.html#QR-Decomposition-with-Column-Pivoting" accesskey="3">QR Decomposition with Column Pivoting</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Complete-Orthogonal-Decomposition.html#Complete-Orthogonal-Decomposition" accesskey="4">Complete Orthogonal Decomposition</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Singular-Value-Decomposition.html#Singular-Value-Decomposition" accesskey="5">Singular Value Decomposition</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Cholesky-Decomposition.html#Cholesky-Decomposition" accesskey="6">Cholesky Decomposition</a>:</td><td> </td><td align="left" valign="top">
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