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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 | |
发表期刊 | APPLIED MATHEMATICS AND COMPUTATION |
2008-08-01 | |
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/173211/9561 |
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 |
推荐引用方式 GB/T 7714 | 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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