Modified iterative methods for nonnegative matrices and M-matrices linear systems
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(alpha) 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. (c) 2005 Elsevier Ltd. All rights reserved.
preconditioned iterative method jacobi and gauss-seidel method spectral radius