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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
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
2008-08-01
Volume202Issue:1Pages:121-132
SubtypeArticle
AbstractRelaxed 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.
KeywordUsaor Multisplitting Relaxed Parallel Multisplitting Method H-matrix Convergence
WOS HeadingsScience & Technology ; Physical Sciences
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000258103700011
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9561
Collection09年以前成果
Affiliation1.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
Recommended Citation
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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