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📁 Java方面的数值算法
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Set a submatrix.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B>QRDecomposition.</B><B><A HREF="../../../../../gov/nist/math/jama/QRDecomposition.html#solve(gov.nist.math.jama.Matrix)">solve</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;B)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Least squares solution of A*X = B</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B>Matrix.</B><B><A HREF="../../../../../gov/nist/math/jama/Matrix.html#solve(gov.nist.math.jama.Matrix)">solve</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;B)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solve A*X = B</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B>LUDecomposition.</B><B><A HREF="../../../../../gov/nist/math/jama/LUDecomposition.html#solve(gov.nist.math.jama.Matrix)">solve</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;B)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solve A*X = B</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B>CholeskyDecomposition.</B><B><A HREF="../../../../../gov/nist/math/jama/CholeskyDecomposition.html#solve(gov.nist.math.jama.Matrix)">solve</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;B)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solve A*X = B</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B>Matrix.</B><B><A HREF="../../../../../gov/nist/math/jama/Matrix.html#solveTranspose(gov.nist.math.jama.Matrix)">solveTranspose</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;B)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Solve X*A = B, which is also A'*X' = B'</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B>Matrix.</B><B><A HREF="../../../../../gov/nist/math/jama/Matrix.html#times(gov.nist.math.jama.Matrix)">times</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;B)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Linear algebraic matrix multiplication, A * B</TD>
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</TABLE>
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<P>

<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left" COLSPAN="2">Constructors in <A HREF="../../../../../gov/nist/math/jama/package-summary.html">gov.nist.math.jama</A> with parameters of type <A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></FONT></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../gov/nist/math/jama/CholeskyDecomposition.html#CholeskyDecomposition(gov.nist.math.jama.Matrix)">CholeskyDecomposition</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;Arg)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Cholesky algorithm for symmetric and positive definite matrix.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../gov/nist/math/jama/EigenvalueDecomposition.html#EigenvalueDecomposition(gov.nist.math.jama.Matrix)">EigenvalueDecomposition</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;Arg)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Check for symmetry, then construct the eigenvalue decomposition</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../gov/nist/math/jama/LUDecomposition.html#LUDecomposition(gov.nist.math.jama.Matrix)">LUDecomposition</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;A)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;LU Decomposition</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../gov/nist/math/jama/QRDecomposition.html#QRDecomposition(gov.nist.math.jama.Matrix)">QRDecomposition</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;A)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;QR Decomposition, computed by Householder reflections.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../gov/nist/math/jama/SingularValueDecomposition.html#SingularValueDecomposition(gov.nist.math.jama.Matrix)">SingularValueDecomposition</A></B>(<A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A>&nbsp;Arg)</CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Construct the singular value decomposition</TD>
</TR>
</TABLE>
&nbsp;
<P>
<A NAME="net.sf.javaml.utils"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
<TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2">
Uses of <A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A> in <A HREF="../../../../../net/sf/javaml/utils/package-summary.html">net.sf.javaml.utils</A></FONT></TH>
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</TABLE>
&nbsp;
<P>

<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left" COLSPAN="2">Methods in <A HREF="../../../../../net/sf/javaml/utils/package-summary.html">net.sf.javaml.utils</A> with parameters of type <A HREF="../../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></FONT></TH>
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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>ActiveSetsOptimization.</B><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>
</TR>
<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>ActiveSetsOptimization.</B><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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