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

	Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems
	Bai, ZZ
刊名	APPLIED MATHEMATICS AND COMPUTATION
	1998-06-01
卷号	92 期号:1 页码:85-100
关键词	nonlinear complementarity problem nonlinear multisplitting relaxation method local convergence asynchronous parallel computation
ISSN号	0096-3003
英文摘要	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.
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000073853900007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/13928]
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.