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LUDecomposition (Java Machine Learning Library 0.0.11)
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gov.nist.math.jama</FONT>
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Class LUDecomposition</H2>
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java.lang.Object
<IMG SRC="../../../../resources/inherit.gif" ALT="extended by "><B>gov.nist.math.jama.LUDecomposition</B>
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<DT><PRE>public class <B>LUDecomposition</B><DT>extends java.lang.Object</DL>
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<P>
LU Decomposition. <P> For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n unit lower triangular matrix L, an n-by-n upper triangular matrix U, and a permutation vector piv of length m so that A(piv,:) = L*U. If m < n, then L is m-by-m and U is m-by-n. <P> The LU decompostion with pivoting always exists, even if the matrix is singular, so the constructor will never fail. The primary use of the LU decomposition is in the solution of square systems of simultaneous linear equations. This will fail if isNonsingular() returns false.
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<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> A)</CODE>
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LU Decomposition</TD>
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<CODE> double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../gov/nist/math/jama/LUDecomposition.html#det()">det</A></B>()</CODE>
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Determinant</TD>
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<CODE> double[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../gov/nist/math/jama/LUDecomposition.html#getDoublePivot()">getDoublePivot</A></B>()</CODE>
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Return pivot permutation vector as a one-dimensional double array</TD>
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<CODE> <A HREF="../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../gov/nist/math/jama/LUDecomposition.html#getL()">getL</A></B>()</CODE>
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Return lower triangular factor</TD>
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<CODE> int[]</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../gov/nist/math/jama/LUDecomposition.html#getPivot()">getPivot</A></B>()</CODE>
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Return pivot permutation vector</TD>
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<CODE> <A HREF="../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../gov/nist/math/jama/LUDecomposition.html#getU()">getU</A></B>()</CODE>
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Return upper triangular factor</TD>
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<CODE> boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../gov/nist/math/jama/LUDecomposition.html#isNonsingular()">isNonsingular</A></B>()</CODE>
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Is the matrix nonsingular?</TD>
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<CODE> <A HREF="../../../../gov/nist/math/jama/Matrix.html" title="class in gov.nist.math.jama">Matrix</A></CODE></FONT></TD>
<TD><CODE><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> B)</CODE>
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Solve A*X = B</TD>
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