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Convergence behaviors of multisplitting methods with relaxed parameters

✍ Scribed by Guang-Hui Cheng; Ting-Zhu Huang; Yan-Fei Jing; Li-Tao Zhang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
692 KB
Volume
229
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, two multisplitting methods with K + 1 relaxed parameters are established for solving a linear system whose coefficient matrix is a large sparse M-matrix or H-matrix and the corresponding convergence behaviors are studied. Then the implementation of these two methods with ILU factorizations as inner splittings is investigated. Finally, some numerical experiments are presented to illustrate the effectiveness of the preconditioners obtained from our methods when combined with BiCGSTAB.

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