Convergence of generalized AOR iterative method for linear systems with strictly diagonally dominant matrices

Authors:
Gui-Xian Tian;Ting-Zhu Huang;Shu-Yu Cui
Affiliations:
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China;Department of Mathematics, Heze University, Heze, Shandong 274015, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 4
Cited 0

Matrix analysis

Matrix analysis
Numerical methods for generalized least squares problems

Proceedings of the 6th international congress on Computational and applied mathematics
Convergence of the generalized AOR method

Applied Mathematics and Computation
Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems

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Abstract

In this paper, some improvements on Darvishi and Hessari [On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices, Appl. Math. Comput. 176 (2006) 128-133] are presented for bounds of the spectral radius of l"@w","r, which is the iterative matrix of the generalized AOR (GAOR) method. Subsequently, some new sufficient conditions for convergence of GAOR method will be given, which improve some results of Darvishi and Hessari [On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices, Appl. Math. Comput. 176 (2006) 128-133].