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Convergence of relaxed multisplitting USAOR methods for H-matrices linear systems
Zhang, Li-Tao1; Huang, Ting-Zhu1; Gu, Tong-Xiang2; Guo, Xin-Lan3
2008-08-01
发表期刊APPLIED MATHEMATICS AND COMPUTATION
卷号202期号:1页码:121-132
文章类型Article
摘要Relaxed technique is one of the techniques for improving convergence rate of splitting iterative methods. In this paper, based on the methods in Frommer and Mayer [A. Frommer, F. Mayer, Convergene of relaxed parallel multisplitting methods, Linear Algebra and its Applications 119 (1989) 141-152] and Zhang et al. [L. T. Zhang, T. Z. Huang, T. X. Gu, Global relaxed non-stationary multisplitting multi-parameters methods, International Journal of Computer Mathematics 85(2) (2008) 211-224.], we present local relaxed parallel multisplitting method, global relaxed parallel multisplitting method, local relaxed non-stationary parallel multisplitting multi-parameters method and global relaxed non-stationary parallel multisplitting multi-parameters method, and study the convergence of our methods associated with USAOR multisplitting for solving a large sparse linear system whose coefficient matrix is an H-matrix. When choosing the approximately optimal relaxed parameters, our methods have faster convergence rate, which is showed through numerical examples. (c) 2008 Elsevier Inc. All rights reserved.
关键词Usaor Multisplitting Relaxed Parallel Multisplitting Method H-matrix Convergence
WOS标题词Science & Technology ; Physical Sciences
收录类别SCI
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000258103700011
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9511
专题09年以前成果
作者单位1.Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China
2.Lab Computationary Phys, Beijing 100088, Peoples R China
3.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
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Zhang, Li-Tao,Huang, Ting-Zhu,Gu, Tong-Xiang,et al. Convergence of relaxed multisplitting USAOR methods for H-matrices linear systems[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,202(1):121-132.
APA Zhang, Li-Tao,Huang, Ting-Zhu,Gu, Tong-Xiang,&Guo, Xin-Lan.(2008).Convergence of relaxed multisplitting USAOR methods for H-matrices linear systems.APPLIED MATHEMATICS AND COMPUTATION,202(1),121-132.
MLA Zhang, Li-Tao,et al."Convergence of relaxed multisplitting USAOR methods for H-matrices linear systems".APPLIED MATHEMATICS AND COMPUTATION 202.1(2008):121-132.
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