Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635557 | Applied Mathematics and Computation | 2007 | 12 Pages |
Abstract
The purpose of this paper is to present a class of preconditioners based on the (I+S(α))-type preconditioning matrices provided by Evans et al. [D.J. Evans, M.M. Martins, M.E. Trigo, The AOR iterative method for new preconditioned linear systems, J. Comput. Appl. Math. 132 (2001) 461-466] and Zhang et al. [Y. Zhang, T.Z. Huang, X.P. Liu, Modified iterative methods for nonnegative matrices and M-matrices linear systems, Comput. Math. Appl. 50 (2005) 1587-1602]. Three mathematical models are presented to seek the optimal parameter for these preconditioners. Numerical results are presented, which show the improvements on the convergence rate of the Jacobi type and Gauss-Seidel type preconditioned iterative methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yong Zhang, Ting-Zhu Huang, Xing-Ping Liu, Tong-Xiang Gu,