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<h3 class="section">1.3 Backend wrapping core Octaves sqp function</h3>
<p><a name="index-octave_005fsqp-6"></a>
This backend calls the <code>sqp</code> function of core Octave, a sequential
quadratic programming algorithm with BFGS, so that it is usable with the
<code>nonlin_min</code> frontend of the optim package. <code>sqp</code> honours
constraints for the returned result, but not necessarily during the
course of optimization.
<p>Compared to calling <code>sqp</code> directly (see
<a href="../octave/XREFsqp.html#XREFsqp">sqp</a>),
<ul>
<li>a different default (numerical) gradient function is used (that of
the frontend),
<li>bounds are set to <code>+-Inf</code> by default, not to <code>+-realmax</code>.
</ul>
<p>The value of the additional setting <code>octave_sqp_tolerance</code>, a
tolerance to several termination criteria, is passed as the respective
argument to Octaves <code>sqp</code>, which provides the default <code>sqrt
(eps)</code>. The settings <code>TolFun</code>, <code>TolX</code>, <code>fract_prec</code>,
<code>max_fract_change</code>, <code>Display</code>, and <code>user_interaction</code> are
not honoured.
<p>Returned value <var>cvg</var> will be <code>1</code> for success and <code>0</code> or
<code>-4</code> for failure (see
<a href="nonlin_005fmin.html#nonlin_005fmin">nonlin_min</a> for meaning). Returned
structure <var>outp</var> will have the fields <code>niter</code>, <code>nobjf</code>,
and <code>lambda</code>.
<p>The default of <code>MaxIter</code> is that of Octaves <code>sqp</code> (100).
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