📄 qrdecomposition.html
字号:
<!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 QRDecomposition</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/Matrix.html"><B>PREV CLASS</B></A> <A HREF="../Jama/SingularValueDecomposition.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="QRDecomposition.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 QRDecomposition</H2><PRE>java.lang.Object | +--<B>Jama.QRDecomposition</B></PRE><HR><DL><DT>public class <B>QRDecomposition</B><DT>extends java.lang.Object<DT>implements java.io.Serializable</DL><P>QR Decomposition.<P>For an m-by-n matrix A with m >= n, the QR decomposition is an m-by-northogonal matrix Q and an n-by-n upper triangular matrix R so thatA = Q*R.<P>The QR decompostion always exists, even if the matrix does not havefull rank, so the constructor will never fail. The primary use of theQR decomposition is in the least squares solution of nonsquare systemsof simultaneous linear equations. This will fail if isFullRank()returns false.<P><DL><DT><B>See Also: </B><DD><A HREF="../serialized-form.html#Jama.QRDecomposition">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/QRDecomposition.html#QRDecomposition(Jama.Matrix)">QRDecomposition</A></B>(<A HREF="../Jama/Matrix.html">Matrix</A> A)</CODE><BR> QR Decomposition, computed by Householder reflections.</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> <A HREF="../Jama/Matrix.html">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/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="../Jama/Matrix.html">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/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="../Jama/Matrix.html">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/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="../Jama/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="../Jama/Matrix.html">Matrix</A></CODE></FONT></TD><TD><CODE><B><A HREF="../Jama/QRDecomposition.html#solve(Jama.Matrix)">solve</A></B>(<A HREF="../Jama/Matrix.html">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" 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="QRDecomposition(Jama.Matrix)"><!-- --></A><H3>QRDecomposition</H3><PRE>public <B>QRDecomposition</B>(<A HREF="../Jama/Matrix.html">Matrix</A> A)</PRE><DL><DD>QR Decomposition, computed by Householder reflections.<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="isFullRank()"><!-- --></A><H3>isFullRank</H3><PRE>public boolean <B>isFullRank</B>()</PRE><DL><DD>Is the matrix full rank?<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="../Jama/Matrix.html">Matrix</A> <B>getH</B>()</PRE><DL><DD>Return the Householder vectors<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="../Jama/Matrix.html">Matrix</A> <B>getR</B>()</PRE><DL><DD>Return the upper triangular factor<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="../Jama/Matrix.html">Matrix</A> <B>getQ</B>()</PRE><DL><DD>Generate and return the (economy-sized) orthogonal factor<DD><DL></DL></DD><DD><DL><DT><B>Returns:</B><DD>Q</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>Least squares solution of 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 that minimizes the two norm of Q*R*X-B.<DT><B>Throws:</B><DD>java.lang.IllegalArgumentException - Matrix row dimensions must agree.<DD>java.lang.RuntimeException - Matrix is rank deficient.</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/Matrix.html"><B>PREV CLASS</B></A> <A HREF="../Jama/SingularValueDecomposition.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="QRDecomposition.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
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 + -