ON NEW CLASSES OF NONNEGATIVE SYMMETRIC TENSORS

doi:10.1137/140988796

CORC > 上海财经大学 > 上海财经大学

	ON NEW CLASSES OF NONNEGATIVE SYMMETRIC TENSORS
	Chen, Bilian 1; He, Simai 2; Li, Zhening 3; Zhang, Shuzhong 4
刊名	SIAM JOURNAL ON OPTIMIZATION
	2017
卷号	27 期号:1 页码:292-318
关键词	symmetric tensors nonnegative forms polynomial and tensor optimization
ISSN号	1052-6234
DOI	10.1137/140988796
英文摘要	In this paper we introduce three new classes of nonnegative forms (or equivalently, symmetric tensors) and their extensions. The newly identified nonnegative symmetric tensors constitute distinctive convex cones in the space of general symmetric tensors (order six or above). For the special case of quartic forms, they collapse into the set of convex quartic homogeneous polynomial functions. We discuss the properties and applications of the new classes of nonnegative symmetric tensors in the context of polynomial and tensor optimization. Numerical experiments for solving certain polynomial optimization models based on the new classes of nonnegative symmetric tensors are presented.
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000404178500013
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/1092]
专题	上海财经大学
通讯作者	Chen, Bilian
作者单位	1.Xiamen Univ, Dept Automat, Xiamen 361005, Peoples R China; 2.Shanghai Univ Finance & Econ, Sch Informat Management & Engn, Shanghai 200433, Peoples R China; 3.Univ Portsmouth, Dept Math, Portsmouth PO1 3HF, Hants, England; 4.Univ Minnesota, Dept Ind & Syst Engn, Minneapolis, MN 55455 USA
推荐引用方式 GB/T 7714	Chen, Bilian,He, Simai,Li, Zhening,et al. ON NEW CLASSES OF NONNEGATIVE SYMMETRIC TENSORS[J]. SIAM JOURNAL ON OPTIMIZATION,2017,27(1):292-318.
APA	Chen, Bilian,He, Simai,Li, Zhening,&Zhang, Shuzhong.(2017).ON NEW CLASSES OF NONNEGATIVE SYMMETRIC TENSORS.SIAM JOURNAL ON OPTIMIZATION,27(1),292-318.
MLA	Chen, Bilian,et al."ON NEW CLASSES OF NONNEGATIVE SYMMETRIC TENSORS".SIAM JOURNAL ON OPTIMIZATION 27.1(2017):292-318.