Weak sufficient convergence conditions and applications for Newton methods
type: Item
instance of: scholarly article
title: Weak sufficient convergence conditions and applications for Newton methods
zbMATH Open document ID: 1058.65059
DOI: 10.1007/BF02936147
author: Ioannis Konstantinos Argyros
published in: Journal of Applied Mathematics and Computing
publication date: 2004-10-28T00:00:00Z
review text: For Newton-like methods applied to a nonlinear operator equation on a Banach space the author proves a semilocal convergence result under slightly weakened Newton Kantorovich hypotheses involving Lipschitz as well as center-Lipschitz conditions. Some numerical examples show a modest improvement of the error bounds.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 2111236
zbMATH Keywords: Newton-like methods
zbMATH Keywords: Banach space
zbMATH Keywords: semilocal convergence
zbMATH Keywords: error bounds
zbMATH Keywords: Newton-Kantorovich hypothesis
zbMATH Keywords: nonlinear operator equation
zbMATH Keywords: numerical examples
reviewed by: Werner C. Rheinboldt
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2111236