The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem

CSpace

	The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem
	Huang, ZH ; Han, J ; Xu, DC ; Zhang, LP
	2001-09-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:9 页码:1107-1114
摘要	In this paper, we propose a new smooth function that possesses a property not satisfied by the existing smooth functions. Based on this smooth function, we discuss the existence and continuity of the smoothing path for solving the P. function nonlinear complementarity problem (NCP). Using the characteristics of the new smooth function, we investigate the boundedness of the iteration sequence generated by the non-interior continuation methods for solving the PO function NCP under the assumption that the solution set of the NCP is nonempty and bounded. We show that the assumption that the solution set of the NCP is nonempty and bounded is weaker than those required by a few existing continuation methods for solving the NCP.
关键词	nonlinear complementarity problem non-interior continuation method P-0 function boundedness of the iteration sequence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000174374500003
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16663
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, ZH
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Chinese Acad Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, ZH,Han, J,Xu, DC,et al. The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(9):1107-1114.
APA	Huang, ZH,Han, J,Xu, DC,&Zhang, LP.(2001).The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(9),1107-1114.
MLA	Huang, ZH,et al."The non-interior continuation methods for solving the P-0 function nonlinear complementarity problem".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.9(2001):1107-1114.