A two-step SOR-Newton method for nonsmooth equations
type: Item
instance of: scholarly article
title: A two-step SOR-Newton method for nonsmooth equations
zbMATH Open document ID: 1183.65057
author: Xiaoxia Zhou
author: Li Wang
author: Yongzhong Song
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-08-21T00:00:00Z
review text: A two step successive overrelaxation Newton method is proposed for solving a system of nonlinear equations \(F(x)=0\). Here \(F: {\mathbb R}^n\to {\mathbb R}^n\) is strongly monotone, locally Lipschitz continuous but not differentiable. Convergence of the method is established and approaches of choosing the relaxation parameters are discussed. Numerical examples are presented to illustrate fast convergence of the method.
reviewed by: Zhen Mei
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 5597831
zbMATH Keywords: nonsmooth
zbMATH Keywords: semismooth
zbMATH Keywords: two step successive overrelaxation Newton method
zbMATH Keywords: system of nonlinear equations
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.na.2009.02.122
OpenAlex ID: W1974761886
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DOI: 10.1016/J.NA.2009.02.122
description: scientific article; zbMATH DE number 5597831