The spectral analysis of the matrix multisplitting method for the one-dimensional model problem

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	The spectral analysis of the matrix multisplitting method for the one-dimensional model problem
	Bai, ZZ ; Sun, JC ; Szyld, DB
	1998-07-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	36 期号:2 页码:31-38
摘要	For the system of linear equations resulting from the discretization of the one-dimensional Poisson equation, we investigate the influences of the multiple splittings and the weighting matrices upon the convergence rate of the parallel matrix multisplitting method. The results show that the convergence rate is only dependent on the sies of the splittings, the degrees of the overlap pings, and the distributions of the tasks, but independent of the quantities of the weightings. (C) 1998 Elsevier Science Ltd. All rights reserved.
关键词	matrix multisplitting method one-dimensional model problem asymptotic convergence rate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000074650400004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13335
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, ZZ
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Software, Beijing 100080, Peoples R China 3.Temple Univ, Dept Math, Philadelphia, PA 19122 USA
推荐引用方式 GB/T 7714	Bai, ZZ,Sun, JC,Szyld, DB. The spectral analysis of the matrix multisplitting method for the one-dimensional model problem[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1998,36(2):31-38.
APA	Bai, ZZ,Sun, JC,&Szyld, DB.(1998).The spectral analysis of the matrix multisplitting method for the one-dimensional model problem.COMPUTERS & MATHEMATICS WITH APPLICATIONS,36(2),31-38.
MLA	Bai, ZZ,et al."The spectral analysis of the matrix multisplitting method for the one-dimensional model problem".COMPUTERS & MATHEMATICS WITH APPLICATIONS 36.2(1998):31-38.