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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 14:37:21 EDT 2000 --><TITLE>: Class SingularValueDecomposition</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/QRDecomposition.html"><B>PREV CLASS</B></A> NEXT CLASS</FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../index.html" TARGET="_top"><B>FRAMES</B></A> <A HREF="SingularValueDecomposition.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 SingularValueDecomposition</H2><PRE>java.lang.Object | +--<B>Jama.SingularValueDecomposition</B></PRE><HR><DL><DT>public class <B>SingularValueDecomposition</B><DT>extends java.lang.Object<DT>implements java.io.Serializable</DL><P>Singular Value Decomposition.<P>For an m-by-n matrix A with m >= n, the singular value decomposition isan m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, andan n-by-n orthogonal matrix V so that A = U*S*V'.<P>The singular values, sigma[k] = S[k][k], are ordered so thatsigma[0] >= sigma[1] >= ... >= sigma[n-1].<P>The singular value decompostion always exists, so the constructor willnever fail. The matrix condition number and the effective numericalrank can be computed from this decomposition.<P><DL><DT><B>See Also: </B><DD><A HREF="../serialized-form.html#Jama.SingularValueDecomposition">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/SingularValueDecomposition.html#SingularValueDecomposition(Jama.Matrix)">SingularValueDecomposition</A></B>(<A HREF="../Jama/Matrix.html">Matrix</A> Arg)</CODE><BR> Construct the singular value 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/SingularValueDecomposition.html#cond()">cond</A></B>()</CODE><BR> Two norm condition number</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/SingularValueDecomposition.html#getS()">getS</A></B>()</CODE><BR> Return the diagonal matrix of singular values</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/SingularValueDecomposition.html#getSingularValues()">getSingularValues</A></B>()</CODE><BR> Return the one-dimensional array of singular values</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/SingularValueDecomposition.html#getU()">getU</A></B>()</CODE><BR> Return the left singular vectors</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/SingularValueDecomposition.html#getV()">getV</A></B>()</CODE><BR> Return the right singular vectors</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/SingularValueDecomposition.html#norm2()">norm2</A></B>()</CODE><BR> Two norm</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/SingularValueDecomposition.html#rank()">rank</A></B>()</CODE><BR> Effective numerical matrix rank</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="SingularValueDecomposition(Jama.Matrix)"><!-- --></A><H3>SingularValueDecomposition</H3><PRE>public <B>SingularValueDecomposition</B>(<A HREF="../Jama/Matrix.html">Matrix</A> Arg)</PRE><DL><DD>Construct the singular value 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="getU()"><!-- --></A><H3>getU</H3><PRE>public <A HREF="../Jama/Matrix.html">Matrix</A> <B>getU</B>()</PRE><DL><DD>Return the left singular vectors<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>U</DL></DD></DL><HR><A NAME="getV()"><!-- --></A><H3>getV</H3><PRE>public <A HREF="../Jama/Matrix.html">Matrix</A> <B>getV</B>()</PRE><DL><DD>Return the right singular vectors<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>V</DL></DD></DL><HR><A NAME="getSingularValues()"><!-- --></A><H3>getSingularValues</H3><PRE>public double[] <B>getSingularValues</B>()</PRE><DL><DD>Return the one-dimensional array of singular values<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>diagonal of S.</DL></DD></DL><HR><A NAME="getS()"><!-- --></A><H3>getS</H3><PRE>public <A HREF="../Jama/Matrix.html">Matrix</A> <B>getS</B>()</PRE><DL><DD>Return the diagonal matrix of singular values<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>S</DL></DD></DL><HR><A NAME="norm2()"><!-- --></A><H3>norm2</H3><PRE>public double <B>norm2</B>()</PRE><DL><DD>Two norm<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>max(S)</DL></DD></DL><HR><A NAME="cond()"><!-- --></A><H3>cond</H3><PRE>public double <B>cond</B>()</PRE><DL><DD>Two norm condition number<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>max(S)/min(S)</DL></DD></DL><HR><A NAME="rank()"><!-- --></A><H3>rank</H3><PRE>public int <B>rank</B>()</PRE><DL><DD>Effective numerical matrix rank<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Number of nonnegligible singular values.</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/QRDecomposition.html"><B>PREV CLASS</B></A> NEXT CLASS</FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../index.html" TARGET="_top"><B>FRAMES</B></A> <A HREF="SingularValueDecomposition.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>⌨️ 快捷键说明
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