On domains of superior convergence of the SSOR method to that of the SOR method
type: Item
instance of: scholarly article
title: On domains of superior convergence of the SSOR method to that of the SOR method
zbMATH Open document ID: 0779.65018
DOI: 10.1016/0024-3795(93)90128-B
author: A. Hadjidimos
author: M. Neumann
published in: Linear Algebra and its Applications
publication date: 1993-08-29T00:00:00Z
review text: The authors determine a \((\nu,\omega)\) domain in which the symmetric successive overrelaxation (SSOR) method is superior to SOR for \(M\)- matrices. It is also shown that the optimal SOR iteration parameter is 1. For a general \(p\)-cyclic, \(p \geq 3\) matrix they also determine regions where the asymptotic rate of convergence of the block SSOR method is superior to that of the block SOR method.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 399291
zbMATH Keywords: domains of superior convergence
zbMATH Keywords: SSOR method
zbMATH Keywords: symmetric successive overrelaxation
zbMATH Keywords: \(M\)-matrices
zbMATH Keywords: iteration parameter
zbMATH Keywords: block SOR method
reviewed by: Aurél Galántai
MaRDI profile type: Publication
cites work: Zur Konvergenz des symmetrischen Relaxationsverfahrens
cites work: Q3943082
cites work: Q3740907
cites work: Comparisons of regular splittings of matrices
cites work: A note on the SSOR convergence domain due to Neumaier and Varga
cites work: Precise domains of convergence for the block SSOR method associated with p-cyclic matrices
cites work: Convergence domains of the SSOR method for a class of generalized consistently ordered matrices
cites work: Über reguläre Zerlegungen von Matrizen und einige Anwendungen
cites work: Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices
cites work: The Kahan S.O.R. convergence bound for nonsingular and irreducible M- matrices
cites work: On bounds for the convergence of the SSOR method forH-matrices
cites work: Neighborhoods of Dominant Convergence for the SSOR Method
cites work: Generalised consistent ordering and the optimum successive overrelaxation factor
cites work: Q5626973
cites work: Q5342712
cites work: p-cyclic matrices and the symmetric successive overrelaxation method
cites work: Unzerlegbare, nicht negative Matrizen
cites work: Q5604166
description: scientific article; zbMATH DE number 399291