The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems

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	The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems
	Bai, ZZ
	1996-06-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	31 期号:12 页码:17-33
摘要	We set up a class of parallel nonlinear multisplitting AOR methods by directly multisplitting the nonlinear mapping involved in the nonlinear complementarity problems. The different choices of the relaxation parameters can yield all the known and a lot of new relaxation methods, as well as a lot of new relaxed parallel nonlinear multisplitting methods for solving the nonlinear complementarity problems. The two-sided approximation properties and the influences on the convergence rates from the relaxation parameters about our new methods are shown, and sufficient conditions guaranteeing the methods to converge globally are discussed. Finally, a lot of numerical results show that our new methods are feasible and efficient.
关键词	nonlinear complementarity problem nonlinear multisplitting monotonicity global convergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1996UV85800004
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/28884
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,POB 2719,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Bai, ZZ. The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1996,31(12):17-33.
APA	Bai, ZZ.(1996).The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems.COMPUTERS & MATHEMATICS WITH APPLICATIONS,31(12),17-33.
MLA	Bai, ZZ."The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems".COMPUTERS & MATHEMATICS WITH APPLICATIONS 31.12(1996):17-33.