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Symmetric rank-1 approximation of symmetric high-order tensors

文献类型：期刊论文

作者Wu, Leqin1; Liu, Xin3; Wen, Zaiwen2
刊名OPTIMIZATION METHODS & SOFTWARE
出版日期2019-10-18
页码23
关键词Rank-1 approximation symmetric tensor proximal alternating linearized minimization Bose?Einstein condensate
ISSN号1055-6788
DOI10.1080/10556788.2019.1678034
英文摘要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.
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
语种英语
WOS记录号WOS:000491843900001
出版者TAYLOR & FRANCIS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50657]  
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.Peking Univ, Beijing Int Ctr Math Res, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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