Accession Number : ADA185080

Title :   Computational Behavior of Gauss-Newton 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 Gauss-Newton methods for nonlinear least-squares problems. Here we assume that the defining feature of a Gauss-Newton method is that the direction from one iterate to the next is the numerical solution of a particular linear least-squares problem, with a steplength subsequently determined by a linesearch procedure. It is well known that Gauss-Newton methods cannot be successfully applied to nonlinear least-squares 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