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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Frameset//EN""http://www.w3.org/TR/REC-html40/frameset.dtd"><!--NewPage--><HTML><HEAD><!-- Generated by javadoc on Mon Sep 11 14:37:20 EDT 2000 --><TITLE>: Class LUDecomposition</TITLE><LINK REL ="stylesheet" TYPE="text/css" HREF="../stylesheet.css" TITLE="Style"></HEAD><BODY BGCOLOR="white"><!-- ========== START OF NAVBAR ========== --><A NAME="navbar_top"><!-- --></A><TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0"><TR><TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"><A NAME="navbar_top_firstrow"><!-- --></A><TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3"> <TR ALIGN="center" VALIGN="top"> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../overview-summary.html"><FONT ID="NavBarFont1"><B>Overview</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT ID="NavBarFont1"><B>Package</B></FONT></A> </TD> <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> <FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT ID="NavBarFont1"><B>Tree</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../deprecated-list.html"><FONT ID="NavBarFont1"><B>Deprecated</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../index-all.html"><FONT ID="NavBarFont1"><B>Index</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../help-doc.html"><FONT ID="NavBarFont1"><B>Help</B></FONT></A> </TD> </TR></TABLE></TD><TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM></EM></TD></TR><TR><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../Jama/EigenvalueDecomposition.html"><B>PREV CLASS</B></A> <A HREF="../Jama/Matrix.html"><B>NEXT CLASS</B></A></FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../index.html" TARGET="_top"><B>FRAMES</B></A> <A HREF="LUDecomposition.html" TARGET="_top"><B>NO FRAMES</B></A></FONT></TD></TR><TR><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> SUMMARY: INNER | FIELD | <A HREF="#constructor_summary">CONSTR</A> | <A HREF="#method_summary">METHOD</A></FONT></TD><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">DETAIL: FIELD | <A HREF="#constructor_detail">CONSTR</A> | <A HREF="#method_detail">METHOD</A></FONT></TD></TR></TABLE><!-- =========== END OF NAVBAR =========== --><HR><!-- ======== START OF CLASS DATA ======== --><H2><FONT SIZE="-1">Jama</FONT><BR>Class LUDecomposition</H2><PRE>java.lang.Object | +--<B>Jama.LUDecomposition</B></PRE><HR><DL><DT>public class <B>LUDecomposition</B><DT>extends java.lang.Object<DT>implements java.io.Serializable</DL><P>LU Decomposition.<P>For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-nunit 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 issingular, so the constructor will never fail. The primary use of theLU decomposition is in the solution of square systems of simultaneouslinear equations. This will fail if isNonsingular() returns false.<P><DL><DT><B>See Also: </B><DD><A HREF="../serialized-form.html#Jama.LUDecomposition">Serialized Form</A></DL><HR><P><!-- ======== INNER CLASS SUMMARY ======== --><!-- =========== FIELD SUMMARY =========== --><!-- ======== CONSTRUCTOR SUMMARY ======== --><A NAME="constructor_summary"><!-- --></A><TABLE BORDER="1" CELLPADDING="3" CELLSPACING="0" WIDTH="100%"><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=2><FONT SIZE="+2"><B>Constructor Summary</B></FONT></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#LUDecomposition(Jama.Matrix)">LUDecomposition</A></B>(<A HREF="../Jama/Matrix.html">Matrix</A> A)</CODE><BR> LU Decomposition</TD></TR></TABLE> <!-- ========== METHOD SUMMARY =========== --><A NAME="method_summary"><!-- --></A><TABLE BORDER="1" CELLPADDING="3" CELLSPACING="0" WIDTH="100%"><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=2><FONT SIZE="+2"><B>Method Summary</B></FONT></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> double</CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#det()">det</A></B>()</CODE><BR> Determinant</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> double[]</CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#getDoublePivot()">getDoublePivot</A></B>()</CODE><BR> Return pivot permutation vector as a one-dimensional double array</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> <A HREF="../Jama/Matrix.html">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#getL()">getL</A></B>()</CODE><BR> Return lower triangular factor</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> int[]</CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#getPivot()">getPivot</A></B>()</CODE><BR> Return pivot permutation vector</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> <A HREF="../Jama/Matrix.html">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#getU()">getU</A></B>()</CODE><BR> Return upper triangular factor</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> boolean</CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#isNonsingular()">isNonsingular</A></B>()</CODE><BR> Is the matrix nonsingular?</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> <A HREF="../Jama/Matrix.html">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/LUDecomposition.html#solve(Jama.Matrix)">solve</A></B>(<A HREF="../Jama/Matrix.html">Matrix</A> B)</CODE><BR> Solve A*X = B</TD></TR></TABLE> <A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A><TABLE BORDER="1" CELLPADDING="3" CELLSPACING="0" WIDTH="100%"><TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor"><TD><B>Methods inherited from class java.lang.Object</B></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</CODE></TD></TR></TABLE> <P><!-- ============ FIELD DETAIL =========== --><!-- ========= CONSTRUCTOR DETAIL ======== --><A NAME="constructor_detail"><!-- --></A><TABLE BORDER="1" CELLPADDING="3" CELLSPACING="0" WIDTH="100%"><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=1><FONT SIZE="+2"><B>Constructor Detail</B></FONT></TD></TR></TABLE><A NAME="LUDecomposition(Jama.Matrix)"><!-- --></A><H3>LUDecomposition</H3><PRE>public <B>LUDecomposition</B>(<A HREF="../Jama/Matrix.html">Matrix</A> A)</PRE><DL><DD>LU Decomposition<DD><DL><DT><B>Parameters:</B><DD><CODE>A</CODE> - Rectangular matrix</DL></DD></DL><!-- ============ METHOD DETAIL ========== --><A NAME="method_detail"><!-- --></A><TABLE BORDER="1" CELLPADDING="3" CELLSPACING="0" WIDTH="100%"><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=1><FONT SIZE="+2"><B>Method Detail</B></FONT></TD></TR></TABLE><A NAME="isNonsingular()"><!-- --></A><H3>isNonsingular</H3><PRE>public boolean <B>isNonsingular</B>()</PRE><DL><DD>Is the matrix nonsingular?<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>true if U, and hence A, is nonsingular.</DL></DD></DL><HR><A NAME="getL()"><!-- --></A><H3>getL</H3><PRE>public <A HREF="../Jama/Matrix.html">Matrix</A> <B>getL</B>()</PRE><DL><DD>Return lower triangular factor<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>L</DL></DD></DL><HR><A NAME="getU()"><!-- --></A><H3>getU</H3><PRE>public <A HREF="../Jama/Matrix.html">Matrix</A> <B>getU</B>()</PRE><DL><DD>Return upper triangular factor<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>U</DL></DD></DL><HR><A NAME="getPivot()"><!-- --></A><H3>getPivot</H3><PRE>public int[] <B>getPivot</B>()</PRE><DL><DD>Return pivot permutation vector<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>piv</DL></DD></DL><HR><A NAME="getDoublePivot()"><!-- --></A><H3>getDoublePivot</H3><PRE>public double[] <B>getDoublePivot</B>()</PRE><DL><DD>Return pivot permutation vector as a one-dimensional double array<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>(double) piv</DL></DD></DL><HR><A NAME="det()"><!-- --></A><H3>det</H3><PRE>public double <B>det</B>()</PRE><DL><DD>Determinant<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>det(A)<DT><B>Throws:</B><DD>java.lang.IllegalArgumentException - Matrix must be square</DL></DD></DL><HR><A NAME="solve(Jama.Matrix)"><!-- --></A><H3>solve</H3><PRE>public <A HREF="../Jama/Matrix.html">Matrix</A> <B>solve</B>(<A HREF="../Jama/Matrix.html">Matrix</A> B)</PRE><DL><DD>Solve A*X = B<DD><DL></DL></DD><DD><DL><DT><B>Parameters:</B><DD><CODE>B</CODE> - A Matrix with as many rows as A and any number of columns.<DT><B>Returns:</B><DD>X so that L*U*X = B(piv,:)<DT><B>Throws:</B><DD>java.lang.IllegalArgumentException - Matrix row dimensions must agree.<DD>java.lang.RuntimeException - Matrix is singular.</DL></DD></DL><!-- ========= END OF CLASS DATA ========= --><HR><!-- ========== START OF NAVBAR ========== --><A NAME="navbar_bottom"><!-- --></A><TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0"><TR><TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"><A NAME="navbar_bottom_firstrow"><!-- --></A><TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3"> <TR ALIGN="center" VALIGN="top"> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../overview-summary.html"><FONT ID="NavBarFont1"><B>Overview</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT ID="NavBarFont1"><B>Package</B></FONT></A> </TD> <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> <FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT ID="NavBarFont1"><B>Tree</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../deprecated-list.html"><FONT ID="NavBarFont1"><B>Deprecated</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../index-all.html"><FONT ID="NavBarFont1"><B>Index</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../help-doc.html"><FONT ID="NavBarFont1"><B>Help</B></FONT></A> </TD> </TR></TABLE></TD><TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM></EM></TD></TR><TR><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../Jama/EigenvalueDecomposition.html"><B>PREV CLASS</B></A> <A HREF="../Jama/Matrix.html"><B>NEXT CLASS</B></A></FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../index.html" TARGET="_top"><B>FRAMES</B></A> <A HREF="LUDecomposition.html" TARGET="_top"><B>NO FRAMES</B></A></FONT></TD></TR><TR><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> SUMMARY: INNER | FIELD | <A HREF="#constructor_summary">CONSTR</A> | <A HREF="#method_summary">METHOD</A></FONT></TD><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">DETAIL: FIELD | <A HREF="#constructor_detail">CONSTR</A> | <A HREF="#method_detail">METHOD</A></FONT></TD></TR></TABLE><!-- =========== END OF NAVBAR =========== --><HR></BODY></HTML>?? 快捷鍵說明
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