Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems

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	Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems
	Bai, ZZ
	1998-06-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	92 期号:1 页码:85-100
摘要	In accordance with the principle of sufficiently using delayed information, and making use of the nonlinear multisplitting and the nonlinear relaxation techniques, we present in this paper a class of asynchronous parallel nonlinear multisplitting successive overrelaxation (SOR) methods for solving large sparse nonlinear complementarity problems on high-speed MIMD multiprocessor systems. These new methods particularly include the so-called asynchronous parallel nonlinear multisplitting SOR-Newton method, asynchronous parallel nonlinear multisplitting SOR-chord method and asynchronous parallel nonlinear multisplitting SOR-Steffensen method. Under suitable conditions we establish the local convergence theory of this class of new methods. Numerical imitations show that our new methods are feasible and efficient for solving the nonlinear complementarity problems on the MIMD multiprocessor systems. (C) 1998 Elsevier Science Inc. All rights reserved.
关键词	nonlinear complementarity problem nonlinear multisplitting relaxation method local convergence asynchronous parallel computation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000073853900007
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13929
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. Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems[J]. APPLIED MATHEMATICS AND COMPUTATION,1998,92(1):85-100.
APA	Bai, ZZ.(1998).Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems.APPLIED MATHEMATICS AND COMPUTATION,92(1),85-100.
MLA	Bai, ZZ."Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems".APPLIED MATHEMATICS AND COMPUTATION 92.1(1998):85-100.