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<h3 class="section">D.9 <code>kinsol</code></h3>

<p>The <code>kinsol</code> library (<a href="http://www.llnl.gov/CASC/sundials/">http://www.llnl.gov/CASC/sundials/</a>)
contains sophisticated routines for non-linear optimization and
<a name="index-optimization-738"></a><a name="index-non_002dlinear-optimization-739"></a>constrained non-linear optimization, some of which are available to
<a name="index-constrained-non_002dlinear-optimization-740"></a>virtual code applications by way of functions expressed as shown.

<pre class="example">     library('kinsol',k)
</pre>
   <p class="noindent">The function name <code>k</code> is a string of the form
<code>'</code><var>xy</var><code>_</code><var>zzzzz</var><code>'</code>. The field <var>zzzzz</var> specifies
the optimization algorithm, which can be one of <code>dense</code>,
<code>gmres</code>, <code>bicgs</code>, or <code>tfqmr</code>, following the names used
by the API for <code>kinsol</code> in C. The field <var>y</var> determines
the way gradients are obtained, which is either <code>j</code> for a user
supplied Jacobian, or <code>d</code> for finite differences computed by
<code>kinsol</code>. The remaining field <var>x</var> is either <code>c</code> for
constrained optimization, or <code>u</code> for unconstrained. Hence, the
whole function name can be one of sixteen possible alternatives.

<pre class="example">     cd_dense   cd_gmres   cd_bicgs   cd_tfqmr
     ud_dense   ud_gmres   ud_bicgs   ud_tfqmr
     cj_dense   cj_gmres   cj_bicgs   cj_tfqmr
     uj_dense   uj_gmres   uj_bicgs   uj_tfqmr
</pre>
   <p>More specific information about the optimization algorithms can be
found in the <code>kinsol</code> documentation at the above
address. Different algorithms may perform better on different
problems.

<ul class="menu">
<li><a accesskey="1" href="kinsol-input-parameters.html#kinsol-input-parameters">kinsol input parameters</a>
<li><a accesskey="2" href="kinsol-output.html#kinsol-output">kinsol output</a>
<li><a accesskey="3" href="kinsol-exceptions.html#kinsol-exceptions">kinsol exceptions</a>
<li><a accesskey="4" href="Additional-kinsol-notes.html#Additional-kinsol-notes">Additional kinsol notes</a>
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