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 preco
A new preconditioned AOR iterative method for -matrices
โ Scribed by Hongjuan Wang; Yao-tang Li
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 438 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
have considered the modified AOR method with a preconditioner (I + S ฮฑ ). In this paper, we present a new preconditioner (I + S ฮฑฮฒ ) instead of (I + S ฮฑ ). The comparison theorems and numerical experiments show that the proposed new method can achieve faster convergence than the preconditioner introduced by Li et al.
๐ SIMILAR VOLUMES
for L-matrices,
For large sparse saddle point problems, Chen and Jiang recently studied a class of generalized inexact parameterized iterative methods (see [F. Chen, Y.-L. Jiang, A generalization of the inexact parameterized Uzawa methods for saddle point problems, Appl. Math. Comput. 206 (2008) 765-771]). In this