Symmetric rank-1 approximation of symmetric high-order tensors

doi:10.1080/10556788.2019.1678034

CSpace

	Symmetric rank-1 approximation of symmetric high-order tensors
	Wu, Leqin 1; Liu, Xin 2; Wen, Zaiwen 3
	2019-10-18
发表期刊	OPTIMIZATION METHODS & SOFTWARE
ISSN	1055-6788
页码	23
摘要	Finding the symmetric rank-1 approximation to a given symmetric tensor is an important problem due to its wide applications and its close relationship to the Z-eigenpair of a tensor. In this paper, we propose a method based on the proximal alternating linearized minimization to directly solve the optimization problem. Global convergence of our algorithm is established. Numerical experiments show that our algorithm is very competitive in speed, accuracy and robustness compared to other state-of-the-art methods.
关键词	Rank-1 approximation symmetric tensor proximal alternating linearized minimization Bose?Einstein condensate
DOI	10.1080/10556788.2019.1678034
收录类别	SCI
语种	英语
资助项目	NSFC[11526096] ; NSFC[11601185] ; NSFC[11622112] ; NSFC[11971466] ; NSFC[11688101] ; NSFC[11421101] ; NSFC[11831002] ; National Center for Mathematics and Interdisciplinary Sciences, CAS, Youth Innovation Promotion Association of Chinese Academy of Sciences ; Key Research Programof Frontier Sciences, CAS[QYZDJ-SSW-SYS010]
WOS研究方向	Computer Science ; Operations Research & Management Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000491843900001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50658
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Xin
作者单位	1.Jinan Univ China, Dept Informat Sci & Technol, Guangzhou, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Beijing, Peoples R China 3.Peking Univ, Beijing Int Ctr Math Res, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wu, Leqin,Liu, Xin,Wen, Zaiwen. Symmetric rank-1 approximation of symmetric high-order tensors[J]. OPTIMIZATION METHODS & SOFTWARE,2019:23.
APA	Wu, Leqin,Liu, Xin,&Wen, Zaiwen.(2019).Symmetric rank-1 approximation of symmetric high-order tensors.OPTIMIZATION METHODS & SOFTWARE,23.
MLA	Wu, Leqin,et al."Symmetric rank-1 approximation of symmetric high-order tensors".OPTIMIZATION METHODS & SOFTWARE (2019):23.