Improving AOR method for consistent linear systems
type: Item
instance of: scholarly article
title: Improving AOR method for consistent linear systems
zbMATH Open document ID: 1121.65032
author: Yaotang Li
author: Cuixia Li
author: Shi-Liang Wu
published in: Applied Mathematics and Computation
publication date: 2007-04-26T00:00:00Z
review text: Modified iterative methods for consistent linear systems are presented. Acclerated overrelaxation (AOR) and successive overrelaxation (SOR) iterative schemes are applied to preconditioned linear systems and two theorems are provided to improve the convergence rates of these iterative schemes. The methods proposed may be implemented to a wider class of linear systems. A numerical example illustrating the results obtained is given.
reviewed by: Petko Hr. Petkov
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5147013
zbMATH Keywords: iterative methods
zbMATH Keywords: preconditioning
zbMATH Keywords: consistent linear systems
zbMATH Keywords: convergence
zbMATH Keywords: numerical example
zbMATH Keywords: acclerated overrelaxation
zbMATH Keywords: successive overrelaxation
zbMATH Keywords: \(L\)-matrix
zbMATH Keywords: AOR method
zbMATH Keywords: SOR method
MaRDI profile type: Publication
full work available at URL: j.amc.2006.07.097
OpenAlex ID: W1999832396
cites work: Accelerated Overrelaxation Method
cites work: Q5604166
cites work: Q5342712
cites work: Improving Jacobi and Gauss-Seidel iterations
cites work: Modified iterative methods for consistent linear systems
cites work: Modified SOR-type iterative method for \(Z\)-matrices
cites work: Q4326384
DOI: 10.1016/J.AMC.2006.07.097
description: scientific article; zbMATH DE number 5147013