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Next: <a href="maxima_198.html#Examples-for-cobyla" accesskey="n" rel="next">Examples for cobyla</a>, Previous: <a href="maxima_196.html#Introduction-to-cobyla" accesskey="p" rel="previous">Introduction to cobyla</a>, Nach oben: <a href="maxima_195.html#cobyla" accesskey="u" rel="up">cobyla</a> [<a href="maxima_toc.html#SEC_Contents" title="Inhaltsverzeichnis" rel="contents">Inhalt</a>][<a href="maxima_334.html#Index-der-Variablen-und-Funktionen" title="Index" rel="index">Index</a>]</p>
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<a name="Functions-and-Variables-for-cobyla-1"></a>
<h3 class="section">37.2 Functions and Variables for cobyla</h3>
<a name="fmin_005fcobyla"></a><a name="Item_003a-cobyla_002ede_002fdeffn_002ffmin_005fcobyla"></a><dl>
<dt><a name="index-fmin_005fcobyla"></a>Function: <strong>fmin_cobyla</strong> <em>(<var>F</var>, <var>X</var>, <var>Y</var>)</em></dt>
<dt><a name="index-fmin_005fcobyla-1"></a>Function: <strong>fmin_cobyla</strong> <em>(<var>F</var>, <var>X</var>, <var>Y</var>, optional_args)</em></dt>
<dd>
<p>Returns an approximate minimum of the expression <var>F</var> with respect
to the variables <var>X</var>, subject to an optional set of constraints.
<var>Y</var> is a list of initial guesses for <var>X</var>.
</p>
<p><var>F</var> must be an ordinary expressions, not names of functions or lambda
expressions.
</p>
<p><code>optional_args</code> represents additional arguments, specified as
<code><var>symbol</var> = <var>value</var></code>. The optional arguments recognized are:
</p>
<dl compact="compact">
<dt><code>constraints</code></dt>
<dd><p>List of inequality and equality constraints that must be satisfied by <var>X</var>.
The inequality constraints must be actual inequalities of the form
<code>g(<var>X</var>) >= h(<var>X</var>)</code> or <code>g(<var>X</var>) <= h(<var>X</var>)</code>. The
equality constraints must be of the form <code>g(<var>X</var>) = h(<var>X</var>)</code>.
</p>
</dd>
<dt><code>rhobeg</code></dt>
<dd><p>Initial value of the internal RHO variable which controls the size of simplex.
(Defaults to 1.0)
</p>
</dd>
<dt><code>rhoend</code></dt>
<dd><p>The desired final value rho parameter. It is approximately the accuracy in
the variables. (Defaults to 1d-6.)
</p>
</dd>
<dt><code>iprint</code></dt>
<dd><p>Verbose output level. (Defaults to 0)
</p><ul>
<li> 0 - No output
</li><li> 1 - Summary at the end of the calculation
</li><li> 2 - Each new value of RHO and SIGMA is printed, including
the vector of variables, some function information when RHO is reduced.
</li><li> 3 - Like 2, but information is printed when F(X) is computed.
</li></ul>
</dd>
<dt><code>maxfun</code></dt>
<dd><p>The maximum number of function evaluations. (Defaults to 1000).
</p></dd>
</dl>
<p>On return, a vector is given:
</p>
<ol>
<li> The value of the variables giving the minimum. This is a list of
elements of the form <code><var>var</var> = <var>value</var></code> for each of the
variables listed in <var>X</var>.
</li><li> The minimized function value
</li><li> The number of function evaluations.
</li><li> Return code with the following meanings
<ol>
<li> 0 - No errors.
</li><li> 1 - Limit on maximum number of function evaluations reached.
</li><li> 2 - Rounding errors inhibiting progress.
</li></ol>
</li></ol>
<p><code>load("fmin_cobyla")</code> loads this function.
</p></dd></dl>
<a name="bf_005ffmin_005fcobyla"></a><a name="Item_003a-cobyla_002ede_002fdeffn_002fbf_005ffmin_005fcobyla"></a><dl>
<dt><a name="index-bf_005ffmin_005fcobyla"></a>Function: <strong>bf_fmin_cobyla</strong> <em>(<var>F</var>, <var>X</var>, <var>Y</var>)</em></dt>
<dt><a name="index-bf_005ffmin_005fcobyla-1"></a>Function: <strong>bf_fmin_cobyla</strong> <em>(<var>F</var>, <var>X</var>, <var>Y</var>, optional_args)</em></dt>
<dd>
<p>This function is identical to <code>fmin_cobyla</code>, except that bigfloat
operations are used, and the default value for <var>rhoend</var> is
<code>10^(fpprec/2)</code>.
</p>
<p>See <code>fmin_cobyla</code> for more information.
</p>
<p><code>load("fmin_cobyla")</code> loads this function.
</p></dd></dl>
<a name="Item_003a-cobyla_002ede_002fnode_002fExamples-for-cobyla"></a><hr>
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<p>
Next: <a href="maxima_198.html#Examples-for-cobyla" accesskey="n" rel="next">Examples for cobyla</a>, Previous: <a href="maxima_196.html#Introduction-to-cobyla" accesskey="p" rel="previous">Introduction to cobyla</a>, Nach oben: <a href="maxima_195.html#cobyla" accesskey="u" rel="up">cobyla</a> [<a href="maxima_toc.html#SEC_Contents" title="Inhaltsverzeichnis" rel="contents">Inhalt</a>][<a href="maxima_334.html#Index-der-Variablen-und-Funktionen" title="Index" rel="index">Index</a>]</p>
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