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<div class="subTitle">org.drip.optimization.constrained</div>
<h2 title="Class FritzJohnMultipliers" class="title">Class FritzJohnMultipliers</h2>
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<pre>public class <span class="typeNameLabel">FritzJohnMultipliers</span>
extends java.lang.Object</pre>
<div class="block">FritzJohnMultipliers holds the Array of the Fritz John/KKT Multipliers for the Array of the Equality and
  the Inequality Constraints, one per each Constraint. The References are:
 
        - Boyd, S., and L. van den Berghe (2009): Convex Optimization, Cambridge University Press, Cambridge UK.
 
        - Eustaquio, R., E. Karas, and A. Ribeiro (2008): Constraint Qualification for Nonlinear Programming,
                Technical Report, Federal University of Parana.
 
        - Karush, A. (1939): Minima of Functions of Several Variables with Inequalities as Side Constraints,
                M. Sc., University of Chicago, Chicago IL.
 
        - Kuhn, H. W., and A. W. Tucker (1951): Nonlinear Programming, Proceedings of the Second Berkeley
                Symposium, University of California, Berkeley CA 481-492.
 
        - Ruszczynski, A. (2006): Nonlinear Optimization, Princeton University Press, Princeton NJ.</div>
<dl>
<dt><span class="simpleTagLabel">Author:</span></dt>
<dd>Lakshmi Krishnamurthy</dd>
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<td class="colOne"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#FritzJohnMultipliers-double-double:A-double:A-">FritzJohnMultipliers</a></span>(double&nbsp;dblObjectiveCoefficient,
                    double[]&nbsp;adblEquality,
                    double[]&nbsp;adblInequality)</code>
<div class="block">FritzJohnMultipliers Constructor</div>
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<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#dualFeasibilityCheck--">dualFeasibilityCheck</a></span>()</code>
<div class="block">Indicate of the Multipliers constitute Valid Dual Feasibility</div>
</td>
</tr>
<tr id="i1" class="rowColor">
<td class="colFirst"><code>double[]</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#equalityConstraintCoefficient--">equalityConstraintCoefficient</a></span>()</code>
<div class="block">Retrieve the Array of the Equality Constraint Coefficients</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code>double[]</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#inequalityConstraintCoefficient--">inequalityConstraintCoefficient</a></span>()</code>
<div class="block">Retrieve the Array of the Inequality Constraint Coefficients</div>
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<td class="colFirst"><code>static <a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html" title="class in org.drip.optimization.constrained">FritzJohnMultipliers</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#KarushKuhnTucker-double:A-double:A-">KarushKuhnTucker</a></span>(double[]&nbsp;adblEquality,
                double[]&nbsp;adblInequality)</code>
<div class="block">Construct a Standard KarushKuhnTucker (KKT) Instance of the Fritz John Multipliers</div>
</td>
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<tr id="i4" class="altColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#numEqualityCoefficients--">numEqualityCoefficients</a></span>()</code>
<div class="block">Retrieve the Number of Equality Multiplier Coefficients</div>
</td>
</tr>
<tr id="i5" class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#numInequalityCoefficients--">numInequalityCoefficients</a></span>()</code>
<div class="block">Retrieve the Number of Inequality Multiplier Coefficients</div>
</td>
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<tr id="i6" class="altColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#numTotalCoefficients--">numTotalCoefficients</a></span>()</code>
<div class="block">Retrieve the Number of Total KKT Multiplier Coefficients</div>
</td>
</tr>
<tr id="i7" class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html#objectiveCoefficient--">objectiveCoefficient</a></span>()</code>
<div class="block">Retrieve the Fritz John Objective Function Multiplier</div>
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<code>equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</code></li>
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<h4>FritzJohnMultipliers</h4>
<pre>public&nbsp;FritzJohnMultipliers(double&nbsp;dblObjectiveCoefficient,
                            double[]&nbsp;adblEquality,
                            double[]&nbsp;adblInequality)
                     throws java.lang.Exception</pre>
<div class="block">FritzJohnMultipliers Constructor</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>dblObjectiveCoefficient</code> - The Objective Function Coefficient</dd>
<dd><code>adblEquality</code> - Array of the Equality Constraint Coefficients</dd>
<dd><code>adblInequality</code> - Array of the Inequality Constraint Coefficients</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.lang.Exception</code> - Thrown if the Inputs are Invalid</dd>
</dl>
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<h4>KarushKuhnTucker</h4>
<pre>public static final&nbsp;<a href="../../../../org/drip/optimization/constrained/FritzJohnMultipliers.html" title="class in org.drip.optimization.constrained">FritzJohnMultipliers</a>&nbsp;KarushKuhnTucker(double[]&nbsp;adblEquality,
                                                          double[]&nbsp;adblInequality)</pre>
<div class="block">Construct a Standard KarushKuhnTucker (KKT) Instance of the Fritz John Multipliers</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>adblEquality</code> - Array of the Equality Constraint Coefficients</dd>
<dd><code>adblInequality</code> - Array of the Inequality Constraint Coefficients</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>The KKT Instance of Fritz John Multipliers</dd>
</dl>
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<h4>objectiveCoefficient</h4>
<pre>public&nbsp;double&nbsp;objectiveCoefficient()</pre>
<div class="block">Retrieve the Fritz John Objective Function Multiplier</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>The Fritz John Objective Function Multiplier</dd>
</dl>
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<pre>public&nbsp;double[]&nbsp;equalityConstraintCoefficient()</pre>
<div class="block">Retrieve the Array of the Equality Constraint Coefficients</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>The Array of the Equality Constraint Coefficients</dd>
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<pre>public&nbsp;double[]&nbsp;inequalityConstraintCoefficient()</pre>
<div class="block">Retrieve the Array of the Inequality Constraint Coefficients</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>The Array of the Inequality Constraint Coefficients</dd>
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<pre>public&nbsp;int&nbsp;numEqualityCoefficients()</pre>
<div class="block">Retrieve the Number of Equality Multiplier Coefficients</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>The Number of Equality Multiplier Coefficients</dd>
</dl>
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<pre>public&nbsp;int&nbsp;numInequalityCoefficients()</pre>
<div class="block">Retrieve the Number of Inequality Multiplier Coefficients</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>The Number of Inequality Multiplier Coefficients</dd>
</dl>
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<pre>public&nbsp;int&nbsp;numTotalCoefficients()</pre>
<div class="block">Retrieve the Number of Total KKT Multiplier Coefficients</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>The Number of Total KKT Multiplier Coefficients</dd>
</dl>
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<pre>public&nbsp;boolean&nbsp;dualFeasibilityCheck()</pre>
<div class="block">Indicate of the Multipliers constitute Valid Dual Feasibility</div>
<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>TRUE - The Multipliers constitute Valid Dual Feasibility</dd>
</dl>
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