📄 qrdecomposition.html
字号:
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"><!--NewPage--><HTML><HEAD><!-- Generated by javadoc (build 1.5.0_10) on Fri Jan 26 16:34:50 NZDT 2007 --><TITLE>QRDecomposition</TITLE><META NAME="keywords" CONTENT="weka.core.matrix.QRDecomposition class"><LINK REL ="stylesheet" TYPE="text/css" HREF="../../../stylesheet.css" TITLE="Style"><SCRIPT type="text/javascript">function windowTitle(){ parent.document.title="QRDecomposition";}</SCRIPT><NOSCRIPT></NOSCRIPT></HEAD><BODY BGCOLOR="white" onload="windowTitle();"><!-- ========= START OF TOP NAVBAR ======= --><A NAME="navbar_top"><!-- --></A><A HREF="#skip-navbar_top" title="Skip navigation links"></A><TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY=""><TR><TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"><A NAME="navbar_top_firstrow"><!-- --></A><TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY=""> <TR ALIGN="center" VALIGN="top"> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="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 CLASS="NavBarFont1"><B>Tree</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="http://www.cs.waikato.ac.nz/ml/weka/" target="_blank"><FONT CLASS="NavBarFont1"><B>Weka's home</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="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix"><B>PREV CLASS</B></A> <A HREF="../../../weka/core/matrix/SingularValueDecomposition.html" title="class in weka.core.matrix"><B>NEXT CLASS</B></A></FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../index.html?weka/core/matrix/QRDecomposition.html" target="_top"><B>FRAMES</B></A> <A HREF="QRDecomposition.html" target="_top"><B>NO FRAMES</B></A> <SCRIPT type="text/javascript"> <!-- if(window==top) { document.writeln('<A HREF="../../../allclasses-noframe.html"><B>All Classes</B></A>'); } //--></SCRIPT><NOSCRIPT> <A HREF="../../../allclasses-noframe.html"><B>All Classes</B></A></NOSCRIPT></FONT></TD></TR><TR><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> SUMMARY: NESTED | 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><A NAME="skip-navbar_top"></A><!-- ========= END OF TOP NAVBAR ========= --><HR><!-- ======== START OF CLASS DATA ======== --><H2><FONT SIZE="-1">weka.core.matrix</FONT><BR>Class QRDecomposition</H2><PRE>java.lang.Object <IMG SRC="../../../resources/inherit.gif" ALT="extended by "><B>weka.core.matrix.QRDecomposition</B></PRE><DL><DT><B>All Implemented Interfaces:</B> <DD>java.io.Serializable</DD></DL><HR><DL><DT><PRE>public class <B>QRDecomposition</B><DT>extends java.lang.Object<DT>implements java.io.Serializable</DL></PRE><P>QR Decomposition. <P> For an m-by-n matrix A with m >= n, the QR decomposition is an m-by-n orthogonal matrix Q and an n-by-n upper triangular matrix R so that A = Q*R. <P> The QR decompostion always exists, even if the matrix does not have full rank, so the constructor will never fail. The primary use of the QR decomposition is in the least squares solution of nonsquare systems of simultaneous linear equations. This will fail if isFullRank() returns false. <p/> Adapted from the <a href="http://math.nist.gov/javanumerics/jama/" target="_blank">JAMA</a> package.<P><P><DL><DT><B>Version:</B></DT> <DD>$Revision: 1.2 $</DD><DT><B>Author:</B></DT> <DD>The Mathworks and NIST, Fracpete (fracpete at waikato dot ac dot nz)</DD><DT><B>See Also:</B><DD><A HREF="../../../serialized-form.html#weka.core.matrix.QRDecomposition">Serialized Form</A></DL><HR><P><!-- ======== CONSTRUCTOR SUMMARY ======== --><A NAME="constructor_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2"><B>Constructor Summary</B></FONT></TH></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE><B><A HREF="../../../weka/core/matrix/QRDecomposition.html#QRDecomposition(weka.core.matrix.Matrix)">QRDecomposition</A></B>(<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> A)</CODE><BR> QR Decomposition, computed by Householder reflections.</TD></TR></TABLE> <!-- ========== METHOD SUMMARY =========== --><A NAME="method_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2"><B>Method Summary</B></FONT></TH></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/QRDecomposition.html#getH()">getH</A></B>()</CODE><BR> Return the Householder vectors</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/QRDecomposition.html#getQ()">getQ</A></B>()</CODE><BR> Generate and return the (economy-sized) orthogonal factor</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/QRDecomposition.html#getR()">getR</A></B>()</CODE><BR> Return the 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="../../../weka/core/matrix/QRDecomposition.html#isFullRank()">isFullRank</A></B>()</CODE><BR> Is the matrix full rank?</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../../../weka/core/matrix/QRDecomposition.html#solve(weka.core.matrix.Matrix)">solve</A></B>(<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> B)</CODE><BR> Least squares solution of A*X = B</TD></TR></TABLE> <A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor"><TH ALIGN="left"><B>Methods inherited from class java.lang.Object</B></TH></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE>equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</CODE></TD></TR></TABLE> <P><!-- ========= CONSTRUCTOR DETAIL ======== --><A NAME="constructor_detail"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2"><B>Constructor Detail</B></FONT></TH></TR></TABLE><A NAME="QRDecomposition(weka.core.matrix.Matrix)"><!-- --></A><H3>QRDecomposition</H3><PRE>public <B>QRDecomposition</B>(<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> A)</PRE><DL><DD>QR Decomposition, computed by Householder reflections.<P><DL><DT><B>Parameters:</B><DD><CODE>A</CODE> - Rectangular matrix</DL></DL><!-- ============ METHOD DETAIL ========== --><A NAME="method_detail"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2"><B>Method Detail</B></FONT></TH></TR></TABLE><A NAME="isFullRank()"><!-- --></A><H3>isFullRank</H3><PRE>public boolean <B>isFullRank</B>()</PRE><DL><DD>Is the matrix full rank?<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>true if R, and hence A, has full rank.</DL></DD></DL><HR><A NAME="getH()"><!-- --></A><H3>getH</H3><PRE>public <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> <B>getH</B>()</PRE><DL><DD>Return the Householder vectors<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Lower trapezoidal matrix whose columns define the reflections</DL></DD></DL><HR><A NAME="getR()"><!-- --></A><H3>getR</H3><PRE>public <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> <B>getR</B>()</PRE><DL><DD>Return the upper triangular factor<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>R</DL></DD></DL><HR><A NAME="getQ()"><!-- --></A><H3>getQ</H3><PRE>public <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> <B>getQ</B>()</PRE><DL><DD>Generate and return the (economy-sized) orthogonal factor<P><DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Q</DL></DD></DL><HR><A NAME="solve(weka.core.matrix.Matrix)"><!-- --></A><H3>solve</H3><PRE>public <A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> <B>solve</B>(<A HREF="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix">Matrix</A> B)</PRE><DL><DD>Least squares solution of A*X = B<P><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 that minimizes the two norm of Q*R*X-B.<DT><B>Throws:</B><DD><CODE>java.lang.IllegalArgumentException</CODE> - Matrix row dimensions must agree.<DD><CODE>java.lang.RuntimeException</CODE> - Matrix is rank deficient.</DL></DD></DL><!-- ========= END OF CLASS DATA ========= --><HR><!-- ======= START OF BOTTOM NAVBAR ====== --><A NAME="navbar_bottom"><!-- --></A><A HREF="#skip-navbar_bottom" title="Skip navigation links"></A><TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY=""><TR><TD COLSPAN=2 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"><A NAME="navbar_bottom_firstrow"><!-- --></A><TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY=""> <TR ALIGN="center" VALIGN="top"> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="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 CLASS="NavBarFont1"><B>Tree</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="http://www.cs.waikato.ac.nz/ml/weka/" target="_blank"><FONT CLASS="NavBarFont1"><B>Weka's home</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="../../../weka/core/matrix/Matrix.html" title="class in weka.core.matrix"><B>PREV CLASS</B></A> <A HREF="../../../weka/core/matrix/SingularValueDecomposition.html" title="class in weka.core.matrix"><B>NEXT CLASS</B></A></FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../index.html?weka/core/matrix/QRDecomposition.html" target="_top"><B>FRAMES</B></A> <A HREF="QRDecomposition.html" target="_top"><B>NO FRAMES</B></A> <SCRIPT type="text/javascript"> <!-- if(window==top) { document.writeln('<A HREF="../../../allclasses-noframe.html"><B>All Classes</B></A>'); } //--></SCRIPT><NOSCRIPT> <A HREF="../../../allclasses-noframe.html"><B>All Classes</B></A></NOSCRIPT></FONT></TD></TR><TR><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> SUMMARY: NESTED | 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><A NAME="skip-navbar_bottom"></A><!-- ======== END OF BOTTOM NAVBAR ======= --><HR></BODY></HTML>⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -