Modified iterative methods for nonnegative matrices and M-matrices linear systems

Authors:
Yong Zhang;Ting-Zhu Huang;Xing-Ping Liu
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 1
Cited 1

The AOR iterative method for new preconditioned linear systems: 461

Journal of Computational and Applied Mathematics

Preconditioned AOR iterative methods for M-matrices

Journal of Computational and Applied Mathematics

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Abstract

The purpose of this paper is to present new preconditioning techniques for solving nonnegative matrices linear system and M-matrices linear system Ax = b based on the I + S(@a) type preconditioning matrices provided by Hadjidimos et al.^[^1^] and Evans et al.^[^2^]. Convergence analysis of the proposed methods are given. Numerical results are presented, which show the improvements on the convergence rate of the Jacobi type and Gauss-Seidel type preconditioned iterative methods.