Improvements of preconditioned AOR iterative method for L-matrices

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:206

Article

Li, Yao-tang ; Li, Cui-xia ; Wu, Shi-liang

关键词: preconditioner;    linear system;    AOR iteration;    L-matrix;   

DOI  :  10.1016/j.cam.2006.08.019

来源: Elsevier

【 摘 要 】

In this paper, we improve the preconditioned AOR method of linear systems considered by Evans et al. [The AOR iterative method for new preconditioned linear systems, Comput. Appl. Math. 132 (2001) 461-466]. In Evans' paper, the coefficient matrix of linear system have to be an L-matrix with ai,i+la(i)+l.i > 0, i = 1,..., n - 1 and 0 < a(ln)a(n1) < 1. When a(i,i)+1a(i)+l(,i) = 0 for some i epsilon N = {1,..., n - 1}, the preconditioned method is invalid. In order to solve the above problem, a new preconditioner is presented. Meanwhile, some recent results are improved. (C) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

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