
Accession Number : ADA185080
Title : Computational Behavior of GaussNewton Methods,
Corporate Author : STANFORD UNIV CA CENTER FOR LARGE SCALE SCIENTIFIC COMPUTATION
Personal Author(s) : Fraley, Chris
PDF Url : ADA185080
Report Date : Aug 1987
Pagination or Media Count : 47
Abstract : This paper is concerned with the numerical behavior of GaussNewton methods for nonlinear leastsquares problems. Here we assume that the defining feature of a GaussNewton method is that the direction from one iterate to the next is the numerical solution of a particular linear leastsquares problem, with a steplength subsequently determined by a linesearch procedure. It is well known that GaussNewton methods cannot be successfully applied to nonlinear leastsquares problems as a class without modification. Our purpose is to give specific examples illustrating some of the difficulties that arise in practice which we believe have not been fully described in the literature.
Descriptors : *LEAST SQUARES METHOD, *NONLINEAR ANALYSIS, COMPUTATIONS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE