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<title>GNU Scientific Library – Reference Manual: Initializing the Multidimensional Solver</title>
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<a name="Initializing-the-Multidimensional-Solver"></a>
<div class="header">
<p>
Next: <a href="Providing-the-multidimensional-system-of-equations-to-solve.html#Providing-the-multidimensional-system-of-equations-to-solve" accesskey="n" rel="next">Providing the multidimensional system of equations to solve</a>, Previous: <a href="Overview-of-Multidimensional-Root-Finding.html#Overview-of-Multidimensional-Root-Finding" accesskey="p" rel="previous">Overview of Multidimensional Root Finding</a>, Up: <a href="Multidimensional-Root_002dFinding.html#Multidimensional-Root_002dFinding" accesskey="u" rel="up">Multidimensional Root-Finding</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Initializing-the-Solver-2"></a>
<h3 class="section">36.2 Initializing the Solver</h3>
<p>The following functions initialize a multidimensional solver, either
with or without derivatives. The solver itself depends only on the
dimension of the problem and the algorithm and can be reused for
different problems.
</p>
<dl>
<dt><a name="index-gsl_005fmultiroot_005ffsolver_005falloc"></a>Function: <em>gsl_multiroot_fsolver *</em> <strong>gsl_multiroot_fsolver_alloc</strong> <em>(const gsl_multiroot_fsolver_type * <var>T</var>, size_t <var>n</var>)</em></dt>
<dd><a name="index-gsl_005fmultiroot_005ffsolver"></a>
<a name="index-gsl_005fmultiroot_005ffsolver_005ftype"></a>
<p>This function returns a pointer to a newly allocated instance of a
solver of type <var>T</var> for a system of <var>n</var> dimensions.
For example, the following code creates an instance of a hybrid solver,
to solve a 3-dimensional system of equations.
</p>
<div class="example">
<pre class="example">const gsl_multiroot_fsolver_type * T
= gsl_multiroot_fsolver_hybrid;
gsl_multiroot_fsolver * s
= gsl_multiroot_fsolver_alloc (T, 3);
</pre></div>
<p>If there is insufficient memory to create the solver then the function
returns a null pointer and the error handler is invoked with an error
code of <code>GSL_ENOMEM</code>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fmultiroot_005ffdfsolver_005falloc"></a>Function: <em>gsl_multiroot_fdfsolver *</em> <strong>gsl_multiroot_fdfsolver_alloc</strong> <em>(const gsl_multiroot_fdfsolver_type * <var>T</var>, size_t <var>n</var>)</em></dt>
<dd><a name="index-gsl_005fmultiroot_005ffdfsolver"></a>
<a name="index-gsl_005fmultiroot_005ffdfsolver_005ftype"></a>
<p>This function returns a pointer to a newly allocated instance of a
derivative solver of type <var>T</var> for a system of <var>n</var> dimensions.
For example, the following code creates an instance of a Newton-Raphson solver,
for a 2-dimensional system of equations.
</p>
<div class="example">
<pre class="example">const gsl_multiroot_fdfsolver_type * T
= gsl_multiroot_fdfsolver_newton;
gsl_multiroot_fdfsolver * s =
gsl_multiroot_fdfsolver_alloc (T, 2);
</pre></div>
<p>If there is insufficient memory to create the solver then the function
returns a null pointer and the error handler is invoked with an error
code of <code>GSL_ENOMEM</code>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fmultiroot_005ffsolver_005fset"></a>Function: <em>int</em> <strong>gsl_multiroot_fsolver_set</strong> <em>(gsl_multiroot_fsolver * <var>s</var>, gsl_multiroot_function * <var>f</var>, const gsl_vector * <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fmultiroot_005ffdfsolver_005fset"></a>Function: <em>int</em> <strong>gsl_multiroot_fdfsolver_set</strong> <em>(gsl_multiroot_fdfsolver * <var>s</var>, gsl_multiroot_function_fdf * <var>fdf</var>, const gsl_vector * <var>x</var>)</em></dt>
<dd><p>These functions set, or reset, an existing solver <var>s</var> to use the
function <var>f</var> or function and derivative <var>fdf</var>, and the initial
guess <var>x</var>. Note that the initial position is copied from <var>x</var>, this
argument is not modified by subsequent iterations.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fmultiroot_005ffsolver_005ffree"></a>Function: <em>void</em> <strong>gsl_multiroot_fsolver_free</strong> <em>(gsl_multiroot_fsolver * <var>s</var>)</em></dt>
<dt><a name="index-gsl_005fmultiroot_005ffdfsolver_005ffree"></a>Function: <em>void</em> <strong>gsl_multiroot_fdfsolver_free</strong> <em>(gsl_multiroot_fdfsolver * <var>s</var>)</em></dt>
<dd><p>These functions free all the memory associated with the solver <var>s</var>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fmultiroot_005ffsolver_005fname"></a>Function: <em>const char *</em> <strong>gsl_multiroot_fsolver_name</strong> <em>(const gsl_multiroot_fsolver * <var>s</var>)</em></dt>
<dt><a name="index-gsl_005fmultiroot_005ffdfsolver_005fname"></a>Function: <em>const char *</em> <strong>gsl_multiroot_fdfsolver_name</strong> <em>(const gsl_multiroot_fdfsolver * <var>s</var>)</em></dt>
<dd><p>These functions return a pointer to the name of the solver. For example,
</p>
<div class="example">
<pre class="example">printf ("s is a '%s' solver\n",
gsl_multiroot_fdfsolver_name (s));
</pre></div>
<p>would print something like <code>s is a 'newton' solver</code>.
</p></dd></dl>
<hr>
<div class="header">
<p>
Next: <a href="Providing-the-multidimensional-system-of-equations-to-solve.html#Providing-the-multidimensional-system-of-equations-to-solve" accesskey="n" rel="next">Providing the multidimensional system of equations to solve</a>, Previous: <a href="Overview-of-Multidimensional-Root-Finding.html#Overview-of-Multidimensional-Root-Finding" accesskey="p" rel="previous">Overview of Multidimensional Root Finding</a>, Up: <a href="Multidimensional-Root_002dFinding.html#Multidimensional-Root_002dFinding" accesskey="u" rel="up">Multidimensional Root-Finding</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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