A class of asynchronous parallel multisplitting blockwise relaxation methods

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	A class of asynchronous parallel multisplitting blockwise relaxation methods
	Bai, ZZ
	1999-06-01
发表期刊	PARALLEL COMPUTING
ISSN	0167-8191
卷号	25 期号:6 页码:681-701
摘要	By the principle of using sufficiently the delayed information and based on the technique of successively accelerated overrelaxation (AOR), we set up a class of asynchronous multisplitting blockwise relaxation methods for solving the large sparse blocked system of linear equations, which comes from the discretizations of many differential equations. These new methods are efficient blockwise variants of the asynchronous parallel matrix multisplitting relaxed iterations discussed by Bai et al. (Parallel Computing 21 (1995) 565-582), and they are very smart for implementations on the MIMD multiprocessor systems. Under reasonable restrictions on the relaxation parameters as well as the multiple splittings, we establish the convergence theories of this class of new methods when the coefficient matrices of the blocked systems of linear equations are block H-matrices of different types. A lot of numerical experiments show that our new methods are applicable and efficient, and have better numerical behaviours than their pointwise alternatives investigated by Bai et al. (C) 1999 Elsevier Science B.V. All rights reserved.
关键词	blocked system of linear equations block matrix multisplitting blockwise relaxation asynchronous parallel method convergence theory block H-matrix
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000081952200003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14577
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	Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ. A class of asynchronous parallel multisplitting blockwise relaxation methods[J]. PARALLEL COMPUTING,1999,25(6):681-701.
APA	Bai, ZZ.(1999).A class of asynchronous parallel multisplitting blockwise relaxation methods.PARALLEL COMPUTING,25(6),681-701.
MLA	Bai, ZZ."A class of asynchronous parallel multisplitting blockwise relaxation methods".PARALLEL COMPUTING 25.6(1999):681-701.