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<title>GNU Scientific Library &ndash; Reference Manual: Householder solver for linear systems</title>

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Next: <a href="Tridiagonal-Systems.html#Tridiagonal-Systems" accesskey="n" rel="next">Tridiagonal Systems</a>, Previous: <a href="Householder-Transformations.html#Householder-Transformations" accesskey="p" rel="previous">Householder Transformations</a>, Up: <a href="Linear-Algebra.html#Linear-Algebra" accesskey="u" rel="up">Linear Algebra</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Householder-solver-for-linear-systems-1"></a>
<h3 class="section">14.16 Householder solver for linear systems</h3>
<a name="index-solution-of-linear-system-by-Householder-transformations"></a>
<a name="index-Householder-linear-solver"></a>

<dl>
<dt><a name="index-gsl_005flinalg_005fHH_005fsolve"></a>Function: <em>int</em> <strong>gsl_linalg_HH_solve</strong> <em>(gsl_matrix * <var>A</var>, const gsl_vector * <var>b</var>, gsl_vector * <var>x</var>)</em></dt>
<dd><p>This function solves the system <em>A x = b</em> directly using
Householder transformations. On output the solution is stored in <var>x</var>
and <var>b</var> is not modified. The matrix <var>A</var> is destroyed by the
Householder transformations.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005flinalg_005fHH_005fsvx"></a>Function: <em>int</em> <strong>gsl_linalg_HH_svx</strong> <em>(gsl_matrix * <var>A</var>, gsl_vector * <var>x</var>)</em></dt>
<dd><p>This function solves the system <em>A x = b</em> in-place using
Householder transformations.  On input <var>x</var> should contain the
right-hand side <em>b</em>, which is replaced by the solution on output.  The
matrix <var>A</var> is destroyed by the Householder transformations.
</p></dd></dl>




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