A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations

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	A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations
	Bai, ZZ ; Evans, DJ ; Calinescu, RC
	1999-10-30
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	110 期号:2 页码:271-286
摘要	For the block system of weakly nonlinear equations Ax = G(x), where A epsilon R-nxn is a large sparse block matrix and G : R-n --> R-n is a block nonlinear mapping having certain smoothness properties, we present a class of asynchronous parallel multisplitting block two-stage iteration methods in this paper. These methods are actually the block variants and generalizations of the asynchronous multisplitting two-stage iteration methods studied by Bai and Huang (Journal of Computational and Applied Mathematics 93(1) (1998) 13-33), and they can achieve high parallel efficiency of the multiprocessor system, especially, when there is load imbalance. Under quite general conditions that A epsilon R-nxn is a block H-matrix of different types and G : R-n --> R-n is a block P-bounded mapping, we establish convergence theories of these asynchronous multisplitting block two-stage iteration methods.:Numerical computations show that these new methods are very efficient for solving the block system of weakly nonlinear equations in the asynchronous parallel computing environment. (C) 1999 Elsevier Science B.V. All rights reserved.
关键词	block system of weakly nonlinear equations matrix multisplitting block two-stage iteration asynchronous parallel method block H-matrix convergence theory
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000083264900003
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/14160
专题	中国科学院数学与系统科学研究院
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.Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England 3.Univ Oxford, Comp Lab, Oxford OX1 3QD, England
推荐引用方式 GB/T 7714	Bai, ZZ,Evans, DJ,Calinescu, RC. A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1999,110(2):271-286.
APA	Bai, ZZ,Evans, DJ,&Calinescu, RC.(1999).A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,110(2),271-286.
MLA	Bai, ZZ,et al."A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 110.2(1999):271-286.