<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> <!--Converted with LaTeX2HTML 98.1p1 release (March 2nd, 1998) originally by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds * revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan * with significant contributions from: Jens Lippmann, Marek Rouchal, Martin Wilck and others --> <HTML> <HEAD> <TITLE>The Corrected Gauss-Newton No Derivatives.</TITLE> <META NAME="description" CONTENT="The Corrected Gauss-Newton No Derivatives."> <META NAME="keywords" CONTENT="vol1"> <META NAME="resource-type" CONTENT="document"> <META NAME="distribution" CONTENT="global"> <META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1"> <LINK REL="STYLESHEET" HREF="vol1.css"> <LINK REL="previous" HREF="node131.html"> <LINK REL="up" HREF="node128.html"> <LINK REL="next" HREF="node133.html"> </HEAD> <BODY > <!--Navigation Panel--> <A NAME="tex2html2211" HREF="node133.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="icons.gif/next_motif.gif"></A> <A NAME="tex2html2207" HREF="node128.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="icons.gif/up_motif.gif"></A> <A NAME="tex2html2203" HREF="node131.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="icons.gif/previous_motif.gif"></A> <A NAME="tex2html2209" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="icons.gif/contents_motif.gif"></A> <A NAME="tex2html2210" HREF="node216.html"> <IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index" SRC="icons.gif/index_motif.gif"></A> <BR> <B> Next:</B> <A NAME="tex2html2212" HREF="node133.html">Function Specification</A> <B> Up:</B> <A NAME="tex2html2208" HREF="node128.html">Outline of the Available</A> <B> Previous:</B> <A NAME="tex2html2204" HREF="node131.html">The Quasi-Newton Method.</A> <BR> <BR> <!--End of Navigation Panel--> <H2><A NAME="SECTION001314000000000000000"> The Corrected Gauss-Newton No Derivatives.</A> </H2> This method is identical to the Gauss-Newton method where the Jacobian is estimated by finite differences and the Hessian by second order differences. <P> It does not require the programming of the derivatives but makes a lot of function computations. Its use has to be restricted to problems where the derivatives are really too difficult to write. It is slower and less precise than the two last algorithms. <P> <BR><HR> <ADDRESS> <I>Petra Nass</I> <BR><I>1999-06-09</I> </ADDRESS> </BODY> </HTML>
