Local saddle point and a class of convexification methods for nonconvex optimization problems

doi:10.1007/s10898-006-9090-4

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	Local saddle point and a class of convexification methods for nonconvex optimization problems
	Li, Tao ; Wang, Yanjun ; Liang, Zhian ; Pardalos, Panos M.
刊名	JOURNAL OF GLOBAL OPTIMIZATION
	2007-07
卷号	38 期号:3 页码:405-419
关键词	nonconvex optimization local saddle point convexification local convexity
ISSN号	0925-5001
DOI	10.1007/s10898-006-9090-4
英文摘要	A class of general transformation methods are proposed to convert a nonconvex optimization problem to another equivalent problem. It is shown that under certain assumptions the existence of a local saddle point or local convexity of the Lagrangian function of the equivalent problem (EP) can be guaranteed. Numerical experiments are given to demonstrate the main results geometrically.
WOS研究方向	Operations Research & Management Science ; Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000247474300004
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2591]
专题	上海财经大学
通讯作者	Li, Tao
作者单位	1.Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China; 2.Univ Gainesville, Dept Ind & Syst Engn, Gainesville, FL 32611 USA
推荐引用方式 GB/T 7714	Li, Tao,Wang, Yanjun,Liang, Zhian,et al. Local saddle point and a class of convexification methods for nonconvex optimization problems[J]. JOURNAL OF GLOBAL OPTIMIZATION,2007,38(3):405-419.
APA	Li, Tao,Wang, Yanjun,Liang, Zhian,&Pardalos, Panos M..(2007).Local saddle point and a class of convexification methods for nonconvex optimization problems.JOURNAL OF GLOBAL OPTIMIZATION,38(3),405-419.
MLA	Li, Tao,et al."Local saddle point and a class of convexification methods for nonconvex optimization problems".JOURNAL OF GLOBAL OPTIMIZATION 38.3(2007):405-419.