On the accelerated modified Newton-HSS method for systems of nonlinear equations
type: Item
instance of: scholarly article
title: On the accelerated modified Newton-HSS method for systems of nonlinear equations
zbMATH Open document ID: 1402.65045
author: Ya-Min Li
author: Xue-Ping Guo
published in: Numerical Algorithms
publication date: 2018-11-29T00:00:00Z
review text: The authors propose an accelerated modified Newton-HSS method for solving systems of nonlinear equations with non-Hermitian positive-definite Jacobian matrices by making appropriate shifts on the Jacobian matrices of the nonlinear systems in order to control the modified Newton steps. Local convergence of the method under suitable conditions is established. Some numerical experiments are presented to illustrate that the proposed method is more efficient than the previously known modified Newton Hermitian and skew-Hermitian splitting method.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6986847
zbMATH Keywords: systems of nonlinear equations
zbMATH Keywords: Hermitian and skew-Hermitian splitting
zbMATH Keywords: Newton-HSS method
zbMATH Keywords: modified Newton-HSS method
zbMATH Keywords: accelerated modified Newton-HSS method
zbMATH Keywords: local convergence
MaRDI profile type: Publication
full work available at URL: s11075-018-0472-8
OpenAlex ID: W2790297191
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DOI: 10.1007/S11075-018-0472-8
description: scientific article; zbMATH DE number 6986847