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<!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 1.6.0_17) on Sat Mar 27 22:46:15 EDT 2010 --> <META http-equiv="Content-Type" content="text/html; charset=UTF-8"> <TITLE> LeastSquaresConverter (Commons Math 2.1 API) </TITLE> <META NAME="date" CONTENT="2010-03-27"> <LINK REL ="stylesheet" TYPE="text/css" HREF="../../../../../stylesheet.css" TITLE="Style"> <SCRIPT type="text/javascript"> function windowTitle() { if (location.href.indexOf('is-external=true') == -1) { parent.document.title="LeastSquaresConverter (Commons Math 2.1 API)"; } } </SCRIPT> <NOSCRIPT> </NOSCRIPT> </HEAD> <BODY BGCOLOR="white" onload="windowTitle();"> <HR> <!-- ========= 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="class-use/LeastSquaresConverter.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A> </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> </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="../../../../../org/apache/commons/math/optimization/GoalType.html" title="enum in org.apache.commons.math.optimization"><B>PREV CLASS</B></A> <A HREF="../../../../../org/apache/commons/math/optimization/MultiStartDifferentiableMultivariateRealOptimizer.html" title="class in org.apache.commons.math.optimization"><B>NEXT CLASS</B></A></FONT></TD> <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../../../index.html?org/apache/commons/math/optimization/LeastSquaresConverter.html" target="_top"><B>FRAMES</B></A> <A HREF="LeastSquaresConverter.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"> org.apache.commons.math.optimization</FONT> <BR> Class LeastSquaresConverter</H2> <PRE> <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A> <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math.optimization.LeastSquaresConverter</B> </PRE> <DL> <DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../../org/apache/commons/math/analysis/MultivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateRealFunction</A></DD> </DL> <HR> <DL> <DT><PRE>public class <A HREF="../../../../../src-html/org/apache/commons/math/optimization/LeastSquaresConverter.html#line.57"><B>LeastSquaresConverter</B></A><DT>extends <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A><DT>implements <A HREF="../../../../../org/apache/commons/math/analysis/MultivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateRealFunction</A></DL> </PRE> <P> This class converts <A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis"><CODE>vectorial objective functions</CODE></A> to <A HREF="../../../../../org/apache/commons/math/analysis/MultivariateRealFunction.html" title="interface in org.apache.commons.math.analysis"><CODE>scalar objective functions</CODE></A> when the goal is to minimize them. <p> This class is mostly used when the vectorial objective function represents a theoretical result computed from a point set applied to a model and the models point must be adjusted to fit the theoretical result to some reference observations. The observations may be obtained for example from physical measurements whether the model is built from theoretical considerations. </p> <p> This class computes a possibly weighted squared sum of the residuals, which is a scalar value. The residuals are the difference between the theoretical model (i.e. the output of the vectorial objective function) and the observations. The class implements the <A HREF="../../../../../org/apache/commons/math/analysis/MultivariateRealFunction.html" title="interface in org.apache.commons.math.analysis"><CODE>MultivariateRealFunction</CODE></A> interface and can therefore be minimized by any optimizer supporting scalar objectives functions.This is one way to perform a least square estimation. There are other ways to do this without using this converter, as some optimization algorithms directly support vectorial objective functions. </p> <p> This class support combination of residuals with or without weights and correlations. </p> <P> <P> <DL> <DT><B>Since:</B></DT> <DD>2.0</DD> <DT><B>Version:</B></DT> <DD>$Revision: 811685 $ $Date: 2009-09-05 13:36:48 -0400 (Sat, 05 Sep 2009) $</DD> <DT><B>See Also:</B><DD><A HREF="../../../../../org/apache/commons/math/analysis/MultivariateRealFunction.html" title="interface in org.apache.commons.math.analysis"><CODE>MultivariateRealFunction</CODE></A>, <A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis"><CODE>MultivariateVectorialFunction</CODE></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="../../../../../org/apache/commons/math/optimization/LeastSquaresConverter.html#LeastSquaresConverter(org.apache.commons.math.analysis.MultivariateVectorialFunction, double[])">LeastSquaresConverter</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateVectorialFunction</A> function, double[] observations)</CODE> <BR> Build a simple converter for uncorrelated residuals with the same weight.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/optimization/LeastSquaresConverter.html#LeastSquaresConverter(org.apache.commons.math.analysis.MultivariateVectorialFunction, double[], double[])">LeastSquaresConverter</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateVectorialFunction</A> function, double[] observations, double[] weights)</CODE> <BR> Build a simple converter for uncorrelated residuals with the specific weights.</TD> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/optimization/LeastSquaresConverter.html#LeastSquaresConverter(org.apache.commons.math.analysis.MultivariateVectorialFunction, double[], org.apache.commons.math.linear.RealMatrix)">LeastSquaresConverter</A></B>(<A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateVectorialFunction</A> function, double[] observations, <A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A> scale)</CODE> <BR> Build a simple converter for correlated residuals with the specific weights.</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> double</CODE></FONT></TD> <TD><CODE><B><A HREF="../../../../../org/apache/commons/math/optimization/LeastSquaresConverter.html#value(double[])">value</A></B>(double[] point)</CODE> <BR> Compute the value for the function at the given point.</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.<A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></B></TH> </TR> <TR BGCOLOR="white" CLASS="TableRowColor"> <TD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</A></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="LeastSquaresConverter(org.apache.commons.math.analysis.MultivariateVectorialFunction, double[])"><!-- --></A><H3> LeastSquaresConverter</H3> <PRE> public <A HREF="../../../../../src-html/org/apache/commons/math/optimization/LeastSquaresConverter.html#line.75"><B>LeastSquaresConverter</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateVectorialFunction</A> function, double[] observations)</PRE> <DL> <DD>Build a simple converter for uncorrelated residuals with the same weight. <P> <DL> <DT><B>Parameters:</B><DD><CODE>function</CODE> - vectorial residuals function to wrap<DD><CODE>observations</CODE> - observations to be compared to objective function to compute residuals</DL> </DL> <HR> <A NAME="LeastSquaresConverter(org.apache.commons.math.analysis.MultivariateVectorialFunction, double[], double[])"><!-- --></A><H3> LeastSquaresConverter</H3> <PRE> public <A HREF="../../../../../src-html/org/apache/commons/math/optimization/LeastSquaresConverter.html#line.111"><B>LeastSquaresConverter</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateVectorialFunction</A> function, double[] observations, double[] weights) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Build a simple converter for uncorrelated residuals with the specific weights. <p> The scalar objective function value is computed as: <pre> objective = ∑weight<sub>i</sub>(observation<sub>i</sub>-objective<sub>i</sub>)<sup>2</sup> </pre> </p> <p> Weights can be used for example to combine residuals with different standard deviations. As an example, consider a residuals array in which even elements are angular measurements in degrees with a 0.01° standard deviation and odd elements are distance measurements in meters with a 15m standard deviation. In this case, the weights array should be initialized with value 1.0/(0.01<sup>2</sup>) in the even elements and 1.0/(15.0<sup>2</sup>) in the odd elements (i.e. reciprocals of variances). </p> <p> The array computed by the objective function, the observations array and the weights array must have consistent sizes or a <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math"><CODE>FunctionEvaluationException</CODE></A> will be triggered while computing the scalar objective. </p> <P> <DL> <DT><B>Parameters:</B><DD><CODE>function</CODE> - vectorial residuals function to wrap<DD><CODE>observations</CODE> - observations to be compared to objective function to compute residuals<DD><CODE>weights</CODE> - weights to apply to the residuals <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if the observations vector and the weights vector dimensions don't match (objective function dimension is checked only when the <A HREF="../../../../../org/apache/commons/math/optimization/LeastSquaresConverter.html#value(double[])"><CODE>value(double[])</CODE></A> method is called)</DL> </DL> <HR> <A NAME="LeastSquaresConverter(org.apache.commons.math.analysis.MultivariateVectorialFunction, double[], org.apache.commons.math.linear.RealMatrix)"><!-- --></A><H3> LeastSquaresConverter</H3> <PRE> public <A HREF="../../../../../src-html/org/apache/commons/math/optimization/LeastSquaresConverter.html#line.144"><B>LeastSquaresConverter</B></A>(<A HREF="../../../../../org/apache/commons/math/analysis/MultivariateVectorialFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateVectorialFunction</A> function, double[] observations, <A HREF="../../../../../org/apache/commons/math/linear/RealMatrix.html" title="interface in org.apache.commons.math.linear">RealMatrix</A> scale) throws <A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></PRE> <DL> <DD>Build a simple converter for correlated residuals with the specific weights. <p> The scalar objective function value is computed as: <pre> objective = y<sup>T</sup>y with y = scale×(observation-objective) </pre> </p> <p> The array computed by the objective function, the observations array and the the scaling matrix must have consistent sizes or a <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math"><CODE>FunctionEvaluationException</CODE></A> will be triggered while computing the scalar objective. </p> <P> <DL> <DT><B>Parameters:</B><DD><CODE>function</CODE> - vectorial residuals function to wrap<DD><CODE>observations</CODE> - observations to be compared to objective function to compute residuals<DD><CODE>scale</CODE> - scaling matrix <DT><B>Throws:</B> <DD><CODE><A HREF="http://java.sun.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if the observations vector and the scale matrix dimensions don't match (objective function dimension is checked only when the <A HREF="../../../../../org/apache/commons/math/optimization/LeastSquaresConverter.html#value(double[])"><CODE>value(double[])</CODE></A> method is called)</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="value(double[])"><!-- --></A><H3> value</H3> <PRE> public double <A HREF="../../../../../src-html/org/apache/commons/math/optimization/LeastSquaresConverter.html#line.159"><B>value</B></A>(double[] point) throws <A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A></PRE> <DL> <DD>Compute the value for the function at the given point. <P> <DD><DL> <DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math/analysis/MultivariateRealFunction.html#value(double[])">value</A></CODE> in interface <CODE><A HREF="../../../../../org/apache/commons/math/analysis/MultivariateRealFunction.html" title="interface in org.apache.commons.math.analysis">MultivariateRealFunction</A></CODE></DL> </DD> <DD><DL> <DT><B>Parameters:</B><DD><CODE>point</CODE> - point at which the function must be evaluated <DT><B>Returns:</B><DD>function value for the given point <DT><B>Throws:</B> <DD><CODE><A HREF="../../../../../org/apache/commons/math/FunctionEvaluationException.html" title="class in org.apache.commons.math">FunctionEvaluationException</A></CODE> - if the function evaluation fails</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="class-use/LeastSquaresConverter.html"><FONT CLASS="NavBarFont1"><B>Use</B></FONT></A> </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> </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="../../../../../org/apache/commons/math/optimization/GoalType.html" title="enum in org.apache.commons.math.optimization"><B>PREV CLASS</B></A> <A HREF="../../../../../org/apache/commons/math/optimization/MultiStartDifferentiableMultivariateRealOptimizer.html" title="class in org.apache.commons.math.optimization"><B>NEXT CLASS</B></A></FONT></TD> <TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../../../../index.html?org/apache/commons/math/optimization/LeastSquaresConverter.html" target="_top"><B>FRAMES</B></A> <A HREF="LeastSquaresConverter.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> Copyright © 2003-2010 <a href="http://www.apache.org/">The Apache Software Foundation</a>. 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