Note to the mixed-type splitting iterative method for \(Z\)-matrices linear systems
type: Item
instance of: scholarly article
title: Note to the mixed-type splitting iterative method for \(Z\)-matrices linear systems
zbMATH Open document ID: 1159.65035
author: Guanghui Cheng
author: Ting-Zhu Huang
author: Shu-Qian Shen
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-22T00:00:00Z
review text: The authors propose a mixed-type splitting iterative method, using an auxiliary nonnegative diagonal matrix and an auxiliary strictly lower triangular matrix, for solving linear systems, where the coefficient matrix is a Z-matrix. Additionally, they prove that the rate of convergence of the mixed-type iterative method is faster than that of the successive overrelaxation and the accelerated overrelaxation iterative methods. Numerical results are presented to illustrate the effectiveness of the proposed method.
reviewed by: George A. Gravvanis
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5315376
zbMATH Keywords: linear system
zbMATH Keywords: splitting iterative method
zbMATH Keywords: Z-matrix
zbMATH Keywords: comparison of methods
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
zbMATH Keywords: successive overrelaxation
zbMATH Keywords: accelerated overrelaxation
MaRDI profile type: Publication
full work available at URL: j.cam.2007.06.033
OpenAlex ID: W2004415369
cites work: Iterative Solution Methods
cites work: Q3943082
cites work: Accelerated Overrelaxation Method
cites work: Note To The Mixed-Type Splitting Iterative Method For The Positive Real Linear System
cites work: Q5604166
DOI: 10.1016/J.CAM.2007.06.033
description: scientific article; zbMATH DE number 5315376