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<title>GNU Scientific Library – Reference Manual: Linear Algebra</title>
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Next: <a href="Eigensystems.html#Eigensystems" accesskey="n" rel="next">Eigensystems</a>, Previous: <a href="BLAS-Support.html#BLAS-Support" accesskey="p" rel="previous">BLAS Support</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Linear-Algebra-1"></a>
<h2 class="chapter">14 Linear Algebra</h2>
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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">
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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="Singular-Value-Decomposition.html#Singular-Value-Decomposition" accesskey="4">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="5">Cholesky Decomposition</a>:</td><td> </td><td align="left" valign="top">
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<tr><td align="left" valign="top">• <a href="Tridiagonal-Decomposition-of-Real-Symmetric-Matrices.html#Tridiagonal-Decomposition-of-Real-Symmetric-Matrices" accesskey="6">Tridiagonal Decomposition of Real Symmetric Matrices</a>:</td><td> </td><td align="left" valign="top">
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