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<a name="kinsol"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="Additional-harminv-notes.html#Additional-harminv-notes" title="Previous section in reading order"> &lt; </a>]</td>
<td valign="middle" align="left">[<a href="kinsol-input-parameters.html#kinsol-input-parameters" title="Next section in reading order"> &gt; </a>]</td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left">[<a href="External-Libraries.html#External-Libraries" title="Beginning of this chapter or previous chapter"> &lt;&lt; </a>]</td>
<td valign="middle" align="left">[<a href="External-Libraries.html#External-Libraries" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="Copying.html#Copying" title="Next chapter"> &gt;&gt; </a>]</td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left">[<a href="avram.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[<a href="avram_toc.html#SEC_Contents" title="Table of contents">Contents</a>]</td>
<td valign="middle" align="left">[<a href="Function-Index.html#Function-Index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="avram_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<hr size="1">
<a name="kinsol-1"></a>
<h2 class="section">D.9 <code>kinsol</code></h2>

<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"></a>
<a name="index-non_002dlinear-optimization"></a>
constrained non-linear optimization, some of which are available to
<a name="index-constrained-non_002dlinear-optimization"></a>
virtual code applications by way of functions expressed as shown.
</p>
<table><tr><td>&nbsp;</td><td><pre class="example">library('kinsol',k)
</pre></td></tr></table>

<p>The function name <code>k</code> is a string of the form
<code>'<var>xy</var>_<var>zzzzz</var>'</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.
</p>
<table><tr><td>&nbsp;</td><td><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></td></tr></table>

<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.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top"><a href="kinsol-input-parameters.html#kinsol-input-parameters">D.9.1 <code>kinsol</code> input parameters</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="kinsol-output.html#kinsol-output">D.9.2 <code>kinsol</code> output</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="kinsol-exceptions.html#kinsol-exceptions">D.9.3 <code>kinsol</code> exceptions</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="Additional-kinsol-notes.html#Additional-kinsol-notes">D.9.4 Additional <code>kinsol</code> notes</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>

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<td valign="middle" align="left"> &nbsp; </td>
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<td valign="middle" align="left">[<a href="avram.html#Top" title="Cover (top) of document">Top</a>]</td>
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