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Relaxed parallel two-stage multisplitting methods II: Asynchronous version *
Authors:
Tongxiang Gu ab;
Xingping Liu a;
Xuebin Chi b
| Affiliations: | a Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, P.R. China |
| b Supercomputing Center of Computer Network Information Center, Chinese Academy of Science, Beijing, P.R. China |
DOI:
10.1080/0020716031000112303
Publication Frequency:
15 issues per year
Published in:
International Journal of Computer Mathematics,
Volume
80,
Issue
10
October
2003
, pages 1277
- 1287
International Journal of Computer Mathematics,
Volume
80,
Issue
10
October
2003
, pages 1277
- 1287
Subjects:
Analysis - Mathematics;
Bioinformatics;
Computer Mathematics;
Discrete Mathematics;
Mathematical Finance;
Mathematical Logic;
Mathematical Numerical Analysis;
Systems & Computer Architecture;
Number of References: 29
Formats available:
PDF
(English)
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Abstract
Two classes of asynchronous relaxed parallel two-stage multisplitting methods based on extrapolated and AOR methods are studied for the solution of nonsingular linear systems, which are called asynchronous outer relaxed or inner relaxed parallel two-stage multisplitting methods. Convergence of these methods is studied for H-matrix. Almost all methods seen in literatures can be viewed as special cases of our methods.
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The project is supported by State Hi-Tech Research and Development Program of China and the Foundation of National Key Laboratory of Computational Physics. |
| Keywords: Asynchronous; Linear systems; Two-stage multisplitting methods; Relaxed iterative method; H-matrix |
| view references (29) |
|
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