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<p>This function is taken from "Practical Mathematical Optimization" (Snyman), section 5.3.8 ("Application of the Augmented Lagrangian Method").
<a href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:ad881628b1b254e1b622fe582d35ab0f8"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#ad881628b1b254e1b622fe582d35ab0f8">AugLagrangianTestFunction</a> ()</td></tr>
<tr class="separator:ad881628b1b254e1b622fe582d35ab0f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a913b0481bdaade09fb1513e7b3bbe7ee"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a913b0481bdaade09fb1513e7b3bbe7ee">AugLagrangianTestFunction</a> (const arma::mat &amp;initial_point)</td></tr>
<tr class="separator:a913b0481bdaade09fb1513e7b3bbe7ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9263b6611f9a8fda7e8612522f0f2e76"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a9263b6611f9a8fda7e8612522f0f2e76">Evaluate</a> (const arma::mat &amp;coordinates)</td></tr>
<tr class="separator:a9263b6611f9a8fda7e8612522f0f2e76"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af5fd75a0e8f39c0da51c6b4c2b93e789"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#af5fd75a0e8f39c0da51c6b4c2b93e789">EvaluateConstraint</a> (const size_t index, const arma::mat &amp;coordinates)</td></tr>
<tr class="separator:af5fd75a0e8f39c0da51c6b4c2b93e789"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a360d90e3af11cb754e692617af22c672"><td class="memItemLeft" align="right" valign="top">const arma::mat &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a360d90e3af11cb754e692617af22c672">GetInitialPoint</a> () const </td></tr>
<tr class="separator:a360d90e3af11cb754e692617af22c672"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9a4ed0ff63676098335d0d2d5bf40d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a9a4ed0ff63676098335d0d2d5bf40d27">Gradient</a> (const arma::mat &amp;coordinates, arma::mat &amp;gradient)</td></tr>
<tr class="separator:a9a4ed0ff63676098335d0d2d5bf40d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a816d90b1353fd98358d22fd624512083"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a816d90b1353fd98358d22fd624512083">GradientConstraint</a> (const size_t index, const arma::mat &amp;coordinates, arma::mat &amp;gradient)</td></tr>
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<tr class="memitem:a2badead8e3fe8225090df61b3aa646c3"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a2badead8e3fe8225090df61b3aa646c3">NumConstraints</a> () const </td></tr>
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Private Attributes</h2></td></tr>
<tr class="memitem:a22e207c6ef9cc281246507bb9915253c"><td class="memItemLeft" align="right" valign="top">arma::mat&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a22e207c6ef9cc281246507bb9915253c">initialPoint</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>This function is taken from "Practical Mathematical Optimization" (Snyman), section 5.3.8 ("Application of the Augmented Lagrangian Method"). </p>
<p>It has only one constraint.</p>
<p>The minimum that satisfies the constraint is x = [1, 4], with an objective value of 70. </p>
<p>Definition at line <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00028">28</a> of file <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html">aug_lagrangian_test_functions.hpp</a>.</p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<td class="memname">mlpack::optimization::AugLagrangianTestFunction::AugLagrangianTestFunction </td>
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<td class="memname">mlpack::optimization::AugLagrangianTestFunction::AugLagrangianTestFunction </td>
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<td class="paramtype">const arma::mat &amp;&#160;</td>
<td class="paramname"><em>initial_point</em></td><td>)</td>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">double mlpack::optimization::AugLagrangianTestFunction::Evaluate </td>
<td>(</td>
<td class="paramtype">const arma::mat &amp;&#160;</td>
<td class="paramname"><em>coordinates</em></td><td>)</td>
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<td class="memname">double mlpack::optimization::AugLagrangianTestFunction::EvaluateConstraint </td>
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<td class="paramtype">const size_t&#160;</td>
<td class="paramname"><em>index</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const arma::mat &amp;&#160;</td>
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<p>Referenced by <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00037">NumConstraints()</a>, and <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00070">mlpack::optimization::GockenbachFunction::NumConstraints()</a>.</p>
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<td class="memname">const arma::mat&amp; mlpack::optimization::AugLagrangianTestFunction::GetInitialPoint </td>
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<td> const</td>
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<p>Definition at line <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00044">44</a> of file <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html">aug_lagrangian_test_functions.hpp</a>.</p>
<p>References <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00047">initialPoint</a>.</p>
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<td class="memname">void mlpack::optimization::AugLagrangianTestFunction::Gradient </td>
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<td class="paramtype">const arma::mat &amp;&#160;</td>
<td class="paramname"><em>coordinates</em>, </td>
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<td class="memname">void mlpack::optimization::AugLagrangianTestFunction::GradientConstraint </td>
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<td class="paramtype">const size_t&#160;</td>
<td class="paramname"><em>index</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const arma::mat &amp;&#160;</td>
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<td class="paramtype">arma::mat &amp;&#160;</td>
<td class="paramname"><em>gradient</em>&#160;</td>
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<p>Referenced by <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00037">NumConstraints()</a>, and <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00070">mlpack::optimization::GockenbachFunction::NumConstraints()</a>.</p>
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<td class="memname">size_t mlpack::optimization::AugLagrangianTestFunction::NumConstraints </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<p>Definition at line <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00037">37</a> of file <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html">aug_lagrangian_test_functions.hpp</a>.</p>
<p>References <a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#af5fd75a0e8f39c0da51c6b4c2b93e789">EvaluateConstraint()</a>, and <a class="el" href="classmlpack_1_1optimization_1_1AugLagrangianTestFunction.html#a816d90b1353fd98358d22fd624512083">GradientConstraint()</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<td class="memname">arma::mat mlpack::optimization::AugLagrangianTestFunction::initialPoint</td>
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<p>Definition at line <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00047">47</a> of file <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html">aug_lagrangian_test_functions.hpp</a>.</p>
<p>Referenced by <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00044">GetInitialPoint()</a>, and <a class="el" href="aug__lagrangian__test__functions_8hpp_source.html#l00077">mlpack::optimization::GockenbachFunction::GetInitialPoint()</a>.</p>
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</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li>src/mlpack/core/optimizers/aug_lagrangian/<a class="el" href="aug__lagrangian__test__functions_8hpp_source.html">aug_lagrangian_test_functions.hpp</a></li>
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