Preconditioned AOR iterative methods for M-matrices

Authors:
Li Wang;Yongzhong Song
Affiliations:
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, PR China;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

Linear systems with M-matrices often appear in a wide variety of areas. In this paper, we give general preconditioners for solving the systems with nonsingular M-matrix. We show that our preconditioners increase the convergence rate of AOR iterative methods. Numerical results for corresponding preconditioned GMRES methods are also given.