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+<title>BOBYQAOptimizer (Apache Commons Math 3.6.1 API)</title>
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+<li><a href="#method_summary">Method</a></li>
+</ul>
+<ul class="subNavList">
+<li>Detail:&nbsp;</li>
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+<!-- ========= END OF TOP NAVBAR ========= -->
+<!-- ======== START OF CLASS DATA ======== -->
+<div class="header">
+<div class="subTitle">org.apache.commons.math3.optimization.direct</div>
+<h2 title="Class BOBYQAOptimizer" class="title">Class BOBYQAOptimizer</h2>
+</div>
+<div class="contentContainer">
+<ul class="inheritance">
+<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
+<li>
+<ul class="inheritance">
+<li><a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html" title="class in org.apache.commons.math3.optimization.direct">org.apache.commons.math3.optimization.direct.BaseAbstractMultivariateOptimizer</a>&lt;FUNC&gt;</li>
+<li>
+<ul class="inheritance">
+<li><a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateSimpleBoundsOptimizer.html" title="class in org.apache.commons.math3.optimization.direct">org.apache.commons.math3.optimization.direct.BaseAbstractMultivariateSimpleBoundsOptimizer</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>&gt;</li>
+<li>
+<ul class="inheritance">
+<li>org.apache.commons.math3.optimization.direct.BOBYQAOptimizer</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+<div class="description">
+<ul class="blockList">
+<li class="blockList">
+<dl>
+<dt>All Implemented Interfaces:</dt>
+<dd><a href="../../../../../../org/apache/commons/math3/optimization/BaseMultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseMultivariateOptimizer</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>&gt;, <a href="../../../../../../org/apache/commons/math3/optimization/BaseMultivariateSimpleBoundsOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseMultivariateSimpleBoundsOptimizer</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>&gt;, <a href="../../../../../../org/apache/commons/math3/optimization/BaseOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseOptimizer</a>&lt;<a href="../../../../../../org/apache/commons/math3/optimization/PointValuePair.html" title="class in org.apache.commons.math3.optimization">PointValuePair</a>&gt;, <a href="../../../../../../org/apache/commons/math3/optimization/MultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization">MultivariateOptimizer</a></dd>
+</dl>
+<hr>
+<div class="block"><strong>Deprecated.</strong>&nbsp;
+<div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div>
+</div>
+<br>
+<pre><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
+public class <span class="strong">BOBYQAOptimizer</span>
+extends <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateSimpleBoundsOptimizer.html" title="class in org.apache.commons.math3.optimization.direct">BaseAbstractMultivariateSimpleBoundsOptimizer</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>&gt;
+implements <a href="../../../../../../org/apache/commons/math3/optimization/MultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization">MultivariateOptimizer</a></pre>
+<div class="block">Powell's BOBYQA algorithm. This implementation is translated and
+ adapted from the Fortran version available
+ <a href="http://plato.asu.edu/ftp/other_software/bobyqa.zip">here</a>.
+ See <a href="http://www.optimization-online.org/DB_HTML/2010/05/2616.html">
+ this paper</a> for an introduction.
+ <br/>
+ BOBYQA is particularly well suited for high dimensional problems
+ where derivatives are not available. In most cases it outperforms the
+ <a href="../../../../../../org/apache/commons/math3/optimization/direct/PowellOptimizer.html" title="class in org.apache.commons.math3.optimization.direct"><code>PowellOptimizer</code></a> significantly. Stochastic algorithms like
+ <a href="../../../../../../org/apache/commons/math3/optimization/direct/CMAESOptimizer.html" title="class in org.apache.commons.math3.optimization.direct"><code>CMAESOptimizer</code></a> succeed more often than BOBYQA, but are more
+ expensive. BOBYQA could also be considered as a replacement of any
+ derivative-based optimizer when the derivatives are approximated by
+ finite differences.</div>
+<dl><dt><span class="strong">Since:</span></dt>
+ <dd>3.0</dd></dl>
+</li>
+</ul>
+</div>
+<div class="summary">
+<ul class="blockList">
+<li class="blockList">
+<!-- =========== FIELD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="field_summary">
+<!-- -->
+</a>
+<h3>Field Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation">
+<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Field and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#DEFAULT_INITIAL_RADIUS">DEFAULT_INITIAL_RADIUS</a></strong></code>
+<div class="block"><strong>Deprecated.</strong>&nbsp;</div>
+<div class="block">Default value for <a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#initialTrustRegionRadius"><code>initialTrustRegionRadius</code></a>: 10.0 .</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>static double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#DEFAULT_STOPPING_RADIUS">DEFAULT_STOPPING_RADIUS</a></strong></code>
+<div class="block"><strong>Deprecated.</strong>&nbsp;</div>
+<div class="block">Default value for <a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#stoppingTrustRegionRadius"><code>stoppingTrustRegionRadius</code></a>: 1.0E-8 .</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static int</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#MINIMUM_PROBLEM_DIMENSION">MINIMUM_PROBLEM_DIMENSION</a></strong></code>
+<div class="block"><strong>Deprecated.</strong>&nbsp;</div>
+<div class="block">Minimum dimension of the problem: 2</div>
+</td>
+</tr>
+</table>
+<ul class="blockList">
+<li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.optimization.direct.BaseAbstractMultivariateOptimizer">
+<!-- -->
+</a>
+<h3>Fields inherited from class&nbsp;org.apache.commons.math3.optimization.direct.<a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html" title="class in org.apache.commons.math3.optimization.direct">BaseAbstractMultivariateOptimizer</a></h3>
+<code><a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#evaluations">evaluations</a></code></li>
+</ul>
+</li>
+</ul>
+<!-- ======== CONSTRUCTOR SUMMARY ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_summary">
+<!-- -->
+</a>
+<h3>Constructor Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
+<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colOne" scope="col">Constructor and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#BOBYQAOptimizer(int)">BOBYQAOptimizer</a></strong>(int&nbsp;numberOfInterpolationPoints)</code>
+<div class="block"><strong>Deprecated.</strong>&nbsp;</div>
+&nbsp;</td>
+</tr>
+<tr class="rowColor">
+<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#BOBYQAOptimizer(int,%20double,%20double)">BOBYQAOptimizer</a></strong>(int&nbsp;numberOfInterpolationPoints,
+ double&nbsp;initialTrustRegionRadius,
+ double&nbsp;stoppingTrustRegionRadius)</code>
+<div class="block"><strong>Deprecated.</strong>&nbsp;</div>
+&nbsp;</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ========== METHOD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_summary">
+<!-- -->
+</a>
+<h3>Method Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
+<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Method and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>protected <a href="../../../../../../org/apache/commons/math3/optimization/PointValuePair.html" title="class in org.apache.commons.math3.optimization">PointValuePair</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#doOptimize()">doOptimize</a></strong>()</code>
+<div class="block"><strong>Deprecated.</strong>&nbsp;</div>
+<div class="block">Perform the bulk of the optimization algorithm.</div>
+</td>
+</tr>
+</table>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.optimization.direct.BaseAbstractMultivariateSimpleBoundsOptimizer">
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+</a>
+<h3>Methods inherited from class&nbsp;org.apache.commons.math3.optimization.direct.<a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateSimpleBoundsOptimizer.html" title="class in org.apache.commons.math3.optimization.direct">BaseAbstractMultivariateSimpleBoundsOptimizer</a></h3>
+<code><a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateSimpleBoundsOptimizer.html#optimize(int,%20FUNC,%20org.apache.commons.math3.optimization.GoalType,%20double[])">optimize</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateSimpleBoundsOptimizer.html#optimize(int,%20FUNC,%20org.apache.commons.math3.optimization.GoalType,%20double[],%20double[],%20double[])">optimize</a></code></li>
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+<h3>Methods inherited from class&nbsp;org.apache.commons.math3.optimization.direct.<a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html" title="class in org.apache.commons.math3.optimization.direct">BaseAbstractMultivariateOptimizer</a></h3>
+<code><a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#computeObjectiveValue(double[])">computeObjectiveValue</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#getConvergenceChecker()">getConvergenceChecker</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#getGoalType()">getGoalType</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#getLowerBound()">getLowerBound</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#getStartPoint()">getStartPoint</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#getUpperBound()">getUpperBound</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#optimize(int,%20FUNC,%20org.apache.commons.math3.optimization.GoalType,%20org.apache.commons.math3.optimization.OptimizationData...)">optimize</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#optimizeInternal(int,%20FUNC,%20org.apache.commons.math3.optimization.GoalType,%20double[])">optimizeInternal</a>, <a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#optimizeInternal(int,%20FUNC,%20org.apache.commons.math3.optimization.GoalType,%20org.apache.commons.math3.optimization.OptimizationData...)">optimizeInternal</a></code></li>
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+<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
+<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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+<li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.optimization.BaseMultivariateOptimizer">
+<!-- -->
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+<h3>Methods inherited from interface&nbsp;org.apache.commons.math3.optimization.<a href="../../../../../../org/apache/commons/math3/optimization/BaseMultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseMultivariateOptimizer</a></h3>
+<code><a href="../../../../../../org/apache/commons/math3/optimization/BaseMultivariateOptimizer.html#optimize(int,%20FUNC,%20org.apache.commons.math3.optimization.GoalType,%20double[])">optimize</a></code></li>
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+<h3>Methods inherited from interface&nbsp;org.apache.commons.math3.optimization.<a href="../../../../../../org/apache/commons/math3/optimization/BaseOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseOptimizer</a></h3>
+<code><a href="../../../../../../org/apache/commons/math3/optimization/BaseOptimizer.html#getConvergenceChecker()">getConvergenceChecker</a>, <a href="../../../../../../org/apache/commons/math3/optimization/BaseOptimizer.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/optimization/BaseOptimizer.html#getMaxEvaluations()">getMaxEvaluations</a></code></li>
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+<div class="details">
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+<h4>MINIMUM_PROBLEM_DIMENSION</h4>
+<pre>public static final&nbsp;int MINIMUM_PROBLEM_DIMENSION</pre>
+<div class="block"><span class="strong">Deprecated.</span>&nbsp;</div>
+<div class="block">Minimum dimension of the problem: 2</div>
+<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../constant-values.html#org.apache.commons.math3.optimization.direct.BOBYQAOptimizer.MINIMUM_PROBLEM_DIMENSION">Constant Field Values</a></dd></dl>
+</li>
+</ul>
+<a name="DEFAULT_INITIAL_RADIUS">
+<!-- -->
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+<ul class="blockList">
+<li class="blockList">
+<h4>DEFAULT_INITIAL_RADIUS</h4>
+<pre>public static final&nbsp;double DEFAULT_INITIAL_RADIUS</pre>
+<div class="block"><span class="strong">Deprecated.</span>&nbsp;</div>
+<div class="block">Default value for <a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#initialTrustRegionRadius"><code>initialTrustRegionRadius</code></a>: 10.0 .</div>
+<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../constant-values.html#org.apache.commons.math3.optimization.direct.BOBYQAOptimizer.DEFAULT_INITIAL_RADIUS">Constant Field Values</a></dd></dl>
+</li>
+</ul>
+<a name="DEFAULT_STOPPING_RADIUS">
+<!-- -->
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+<ul class="blockListLast">
+<li class="blockList">
+<h4>DEFAULT_STOPPING_RADIUS</h4>
+<pre>public static final&nbsp;double DEFAULT_STOPPING_RADIUS</pre>
+<div class="block"><span class="strong">Deprecated.</span>&nbsp;</div>
+<div class="block">Default value for <a href="../../../../../../org/apache/commons/math3/optimization/direct/BOBYQAOptimizer.html#stoppingTrustRegionRadius"><code>stoppingTrustRegionRadius</code></a>: 1.0E-8 .</div>
+<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../constant-values.html#org.apache.commons.math3.optimization.direct.BOBYQAOptimizer.DEFAULT_STOPPING_RADIUS">Constant Field Values</a></dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ========= CONSTRUCTOR DETAIL ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_detail">
+<!-- -->
+</a>
+<h3>Constructor Detail</h3>
+<a name="BOBYQAOptimizer(int)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>BOBYQAOptimizer</h4>
+<pre>public&nbsp;BOBYQAOptimizer(int&nbsp;numberOfInterpolationPoints)</pre>
+<div class="block"><span class="strong">Deprecated.</span>&nbsp;</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfInterpolationPoints</code> - Number of interpolation conditions.
+ For a problem of dimension <code>n</code>, its value must be in the interval
+ <code>[n+2, (n+1)(n+2)/2]</code>.
+ Choices that exceed <code>2n+1</code> are not recommended.</dd></dl>
+</li>
+</ul>
+<a name="BOBYQAOptimizer(int, double, double)">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>BOBYQAOptimizer</h4>
+<pre>public&nbsp;BOBYQAOptimizer(int&nbsp;numberOfInterpolationPoints,
+ double&nbsp;initialTrustRegionRadius,
+ double&nbsp;stoppingTrustRegionRadius)</pre>
+<div class="block"><span class="strong">Deprecated.</span>&nbsp;</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>numberOfInterpolationPoints</code> - Number of interpolation conditions.
+ For a problem of dimension <code>n</code>, its value must be in the interval
+ <code>[n+2, (n+1)(n+2)/2]</code>.
+ Choices that exceed <code>2n+1</code> are not recommended.</dd><dd><code>initialTrustRegionRadius</code> - Initial trust region radius.</dd><dd><code>stoppingTrustRegionRadius</code> - Stopping trust region radius.</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ============ METHOD DETAIL ========== -->
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+<h3>Method Detail</h3>
+<a name="doOptimize()">
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+<li class="blockList">
+<h4>doOptimize</h4>
+<pre>protected&nbsp;<a href="../../../../../../org/apache/commons/math3/optimization/PointValuePair.html" title="class in org.apache.commons.math3.optimization">PointValuePair</a>&nbsp;doOptimize()</pre>
+<div class="block"><span class="strong">Deprecated.</span>&nbsp;</div>
+<div class="block">Perform the bulk of the optimization algorithm.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html#doOptimize()">doOptimize</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/optimization/direct/BaseAbstractMultivariateOptimizer.html" title="class in org.apache.commons.math3.optimization.direct">BaseAbstractMultivariateOptimizer</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>&gt;</code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>the point/value pair giving the optimal value of the
+ objective function.</dd></dl>
+</li>
+</ul>
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