Iteration functions in some nonsmooth optimization algorithms

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	Iteration functions in some nonsmooth optimization algorithms
	Liu, GS
	1997-07-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	211 期号:1 页码:153-171
摘要	In this paper, it is proved that a locally Lipschitzian function has a PHR iteration function or a QS iteration function if and only, if it is pseudo-regular, and a locally Lipschitzian function has a positive homogeneous PHR iteration function or a positive homogeneous QS iteration function if and only if it is continuously differentiable. In addition, we also give the computable PHR iteration functions or QS iteration functions for a piece-wise smooth function and a subsmooth function, respectively. (C) 1997 Academic Press.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000071140900008
出版者	ACADEMIC PRESS 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/13209
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, GS
作者单位	Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, GS. Iteration functions in some nonsmooth optimization algorithms[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,1997,211(1):153-171.
APA	Liu, GS.(1997).Iteration functions in some nonsmooth optimization algorithms.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,211(1),153-171.
MLA	Liu, GS."Iteration functions in some nonsmooth optimization algorithms".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 211.1(1997):153-171.