Convergence behaviors of multisplitting methods with K+1 relaxed parameters

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:229

Article

Cheng, Guang-Hui¹  Huang, Ting-Zhu¹  Jing, Yan-Fei¹  Zhang, Li-Tao¹ 

[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China

关键词: Multisplitting;    M-matrix;    H-matrix;    ILU factorization;   

DOI  :  10.1016/j.cam.2008.10.015

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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