Local convergence results of Gauss--Newton's like method in weak conditions
type: Item
instance of: scholarly article
title: Local convergence results of Gauss--Newton's like method in weak conditions
zbMATH Open document ID: 1104.65054
author: Weiguo Li
author: Jinhai Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-11-15T00:00:00Z
review text: The authors investigate convergence issues of a Gauss-Newton optimization method for the non-linear least squares problem. The article begins by an overview of this problem and a summary of the properties of Gauss-Newton methods that are used for its optimization. The third section then proceeds to study the convergence properties of this method, under several conditions, for example, Lipschitz and weaker Lipschitz, and several interesting proofs are presented in a lot of detail, which relate to the calculation of the convergence ball and the uniqueness ball for the optimal solution. The article concludes with a list of useful references.
reviewed by: Efstratios Rappos
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 90C53
zbMATH DE Number: 5073031
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: convergence ball
zbMATH Keywords: uniqueness ball
zbMATH Keywords: Lipschitz condition
zbMATH Keywords: non-linear least squares problem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.01.032
OpenAlex ID: W1968701102
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DOI: 10.1016/J.JMAA.2006.01.032
description: scientific article; zbMATH DE number 5073031