Global Sufficient Optimality Conditions for a Special Cubic Minimization Problem

doi:10.1155/2012/871741

CORC > 上海财经大学 > 上海财经大学

	Global Sufficient Optimality Conditions for a Special Cubic Minimization Problem
	Zhang, Xiaomei 2; Wang, Yanjun 2; Ma, Weimin 1
刊名	MATHEMATICAL PROBLEMS IN ENGINEERING
	2012
ISSN号	1024-123X
DOI	10.1155/2012/871741
英文摘要	We present some sufficient global optimality conditions for a special cubic minimization problem with box constraints or binary constraints by extending the global subdifferential approach proposed by V. Jeyakumar et al. (2006). The present conditions generalize the results developed in the work of V. Jeyakumar et al. where a quadratic minimization problem with box constraints or binary constraints was considered. In addition, a special diagonal matrix is constructed, which is used to provide a convenient method for justifying the proposed sufficient conditions. Then, the reformulation of the sufficient conditions follows. It is worth noting that this reformulation is also applicable to the quadratic minimization problem with box or binary constraints considered in the works of V. Jeyakumar et al. (2006) and Y. Wang et al. (2010). Finally some examples demonstrate that our optimality conditions can effectively be used for identifying global minimizers of the certain nonconvex cubic minimization problem.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	HINDAWI PUBLISHING CORPORATION
WOS记录号	WOS:000308760700001
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2194]
专题	上海财经大学
通讯作者	Ma, Weimin
作者单位	1.Tongji Univ, Sch Econ & Management, Shanghai 200092, Peoples R China; 2.Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Xiaomei,Wang, Yanjun,Ma, Weimin. Global Sufficient Optimality Conditions for a Special Cubic Minimization Problem[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2012.
APA	Zhang, Xiaomei,Wang, Yanjun,&Ma, Weimin.(2012).Global Sufficient Optimality Conditions for a Special Cubic Minimization Problem.MATHEMATICAL PROBLEMS IN ENGINEERING.
MLA	Zhang, Xiaomei,et al."Global Sufficient Optimality Conditions for a Special Cubic Minimization Problem".MATHEMATICAL PROBLEMS IN ENGINEERING (2012).