A note on the preconditioned Gauss-Seidel (GS) method for linear systems

Authors:
Wen Li
Affiliations:
Department of Mathematics, South China Normal University, Guangzhou, 510631, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 5
Cited 1

A comparison theorem for the iterative method with the preconditioner (I + Smax)

Journal of Computational and Applied Mathematics
The convergence of the modified Gauss--Seidel methods for consistent linear systems

Journal of Computational and Applied Mathematics
Block Gauss elimination followed by a classical iterative method for the solution of linear systems

Journal of Computational and Applied Mathematics
The survey of preconditioners used for accelerating the rate of convergence in the Gauss-Seidel method

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Comparison results for solving preconditioned linear systems

Journal of Computational and Applied Mathematics

Erratum: Erratum to: "A note on the preconditioned Gauss-Seidel method for M-matrices" [J. Comput. Appl. Math. 219 (1) (2008) 59-71]

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this note recent comparison results for preconditioned Gauss-Seidel (GS) methods are discussed. A new strict comparison result between two different preconditioned GS methods is given, some errors in a recent article by Niki et al. (J. Comput. Appl. Math. 164-165 (2004) 587) are pointed out and a new proof for the corresponding results in Niki et al. is presented.