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📁 Java方面的数值算法
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<CODE>protected &nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#m_STPMX">m_STPMX</A></B></CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected &nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#m_TOLX">m_TOLX</A></B></CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected static&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#m_Zero">m_Zero</A></B></CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute machine precision</TD>
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<!-- ======== CONSTRUCTOR SUMMARY ======== -->

<A NAME="constructor_summary"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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<TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
<B>Constructor Summary</B></FONT></TH>
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<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#ActiveSetsOptimization()">ActiveSetsOptimization</A></B>()</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<!-- ========== METHOD SUMMARY =========== -->

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<B>Method Summary</B></FONT></TH>
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<CODE>protected abstract &nbsp;double[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#evaluateGradient(double[])">evaluateGradient</A></B>(double[]&nbsp;x)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Subclass should implement this procedure to evaluate gradient of the objective function</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected &nbsp;double[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#evaluateHessian(double[], int)">evaluateHessian</A></B>(double[]&nbsp;x,
                int&nbsp;index)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Subclass is recommended to override this procedure to evaluate second-order gradient of the objective function.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#findArgmin(double[], double[][])">findArgmin</A></B>(double[]&nbsp;initX,
           double[][]&nbsp;constraints)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Main algorithm.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#getMinFunction()">getMinFunction</A></B>()</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get the minimal function value</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#getVarbValues()">getVarbValues</A></B>()</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Get the variable values.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#lnsrch(double[], double[], double[], double, boolean[], double[][], net.sf.javaml.utils.ActiveSetsOptimization.DynamicIntArray)">lnsrch</A></B>(double[]&nbsp;xold,
       double[]&nbsp;gradient,
       double[]&nbsp;direct,
       double&nbsp;stpmax,
       boolean[]&nbsp;isFixed,
       double[][]&nbsp;nwsBounds,
       net.sf.javaml.utils.ActiveSetsOptimization.DynamicIntArray&nbsp;wsBdsIndx)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Find a new point x in the direction p from a point xold at which the value of the function has decreased sufficiently, the positive definiteness of B matrix (approximation of the inverse of the Hessian) is preserved and no bound constraints are violated.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected abstract &nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#objectiveFunction(double[])">objectiveFunction</A></B>(double[]&nbsp;x)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Subclass should implement this procedure to evaluate objective function to be minimized</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#setDebug(boolean)">setDebug</A></B>(boolean&nbsp;db)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Set whether in debug mode</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#setMaxIteration(int)">setMaxIteration</A></B>(int&nbsp;it)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Set the maximal number of iterations in searching (Default 200)</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;double[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#solveTriangle(gov.nist.math.jama.Matrix, double[], boolean, boolean[])">solveTriangle</A></B>(<A HREF="../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;t,
              double[]&nbsp;b,
              boolean&nbsp;isLower,
              boolean[]&nbsp;isZero)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solve the linear equation of TX=B where T is a triangle matrix It can be solved using back/forward substitution, with O(N^2) complexity</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected &nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../net/sf/javaml/utils/ActiveSetsOptimization.html#updateCholeskyFactor(gov.nist.math.jama.Matrix, double[], double[], double, boolean[])">updateCholeskyFactor</A></B>(<A HREF="../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;L,
                     double[]&nbsp;D,
                     double[]&nbsp;v,
                     double&nbsp;coeff,
                     boolean[]&nbsp;isFixed)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;One rank update of the Cholesky factorization of B matrix in BFGS updates, i.e.</TD>
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&nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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<TH ALIGN="left"><B>Methods inherited from class java.lang.Object</B></TH>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</CODE></TD>
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</TABLE>
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<P>

<!-- ============ FIELD DETAIL =========== -->

<A NAME="field_detail"><!-- --></A>
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<B>Field Detail</B></FONT></TH>
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</TABLE>

<A NAME="m_ALF"><!-- --></A><H3>
m_ALF</H3>
<PRE>
protected double <B>m_ALF</B></PRE>
<DL>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_BETA"><!-- --></A><H3>
m_BETA</H3>
<PRE>
protected double <B>m_BETA</B></PRE>
<DL>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_TOLX"><!-- --></A><H3>
m_TOLX</H3>
<PRE>
protected double <B>m_TOLX</B></PRE>
<DL>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_STPMX"><!-- --></A><H3>
m_STPMX</H3>
<PRE>
protected double <B>m_STPMX</B></PRE>
<DL>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_MAXITS"><!-- --></A><H3>
m_MAXITS</H3>
<PRE>
protected int <B>m_MAXITS</B></PRE>
<DL>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_Debug"><!-- --></A><H3>
m_Debug</H3>
<PRE>
protected static boolean <B>m_Debug</B></PRE>
<DL>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_f"><!-- --></A><H3>
m_f</H3>
<PRE>
protected double <B>m_f</B></PRE>
<DL>
<DD>function value
<P>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_Epsilon"><!-- --></A><H3>
m_Epsilon</H3>
<PRE>
protected static double <B>m_Epsilon</B></PRE>
<DL>
<DD>Compute machine precision
<P>
<DL>
</DL>
</DL>
<HR>

<A NAME="m_Zero"><!-- --></A><H3>
m_Zero</H3>
<PRE>
protected static double <B>m_Zero</B></PRE>
<DL>
<DD>Compute machine precision
<P>
<DL>
</DL>
</DL>

<!-- ========= CONSTRUCTOR DETAIL ======== -->

<A NAME="constructor_detail"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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