Abstract | ||
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In order to improve the convergence rates of iterative method solving the linear system Ax=b, a preconditioned AOR iterative method with a multi-parameters preconditioner I+S∼α is proposed. Some convergence and comparison results for αi∈[0,1] are given when A is an L-matrix. When A is an H-matrix, the convergence of the corresponding methods is discussed for αi∈[0,αi′), where αi>1. Furthermore, effectiveness of the new preconditioner method is shown by numerical experiments. Numerical experiments show that our methods are superior to the basic AOR iterative methods. |
Year | DOI | Venue |
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2008 | 10.1016/j.amc.2008.09.032 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Linear system,Preconditioner,L-Matrix,H-Matrix,AOR iterative method | Direct method,Linear system,Preconditioner,Iterative method,Matrix (mathematics),Mathematical analysis,Rate of convergence,Numerical analysis,Numerical linear algebra,Mathematics | Journal |
Volume | Issue | ISSN |
206 | 1 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yao-Tang Li | 1 | 112 | 15.13 |
Shunfeng Yang | 2 | 1 | 0.94 |