Kantorovich's type theorems for systems of equations with constant rank derivatives
type: Item
instance of: scholarly article
title: Kantorovich's type theorems for systems of equations with constant rank derivatives
zbMATH Open document ID: 1156.65048
author: N. Hu
author: C. Li
author: Weiping Shen
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-08T00:00:00Z
review text: The authors study the Gauss-Newton method for solving a nonlinear systems \(F(x)=0\), where \(F\) is a singular mapping from \(\mathbb{R}^n\) into \(\mathbb{R}^m\). Employing a center Lipschitz continuity condition, a convergence result of Kantorovich-type is shown. Examples are given for quadratic \(F\) with \(n=m=2\).
reviewed by: Etienne Emmrich
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 5309283
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: majorizing sequence
zbMATH Keywords: semilocal convergence
zbMATH Keywords: local convergence
zbMATH Keywords: Lipschitz condition
zbMATH Keywords: numerical examples
zbMATH Keywords: nonlinear systems
MaRDI profile type: Publication
full work available at URL: j.cam.2007.07.006
OpenAlex ID: W2014300164
Wikidata QID: Q126219985
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DOI: 10.1016/J.CAM.2007.07.006
description: scientific article; zbMATH DE number 5309283