Convergence of relaxed multisplitting USAOR methods for H-matrices linear systems

CASIA OpenIR > 09年以前成果

	Convergence of relaxed multisplitting USAOR methods for H-matrices linear systems
	Zhang, Li-Tao 1; Huang, Ting-Zhu 1; Gu, Tong-Xiang 2; Guo, Xin-Lan 3
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	被引频次：11[WOS] [WOS记录] [WOS相关记录]
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
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.