Bound for the largest singular value of nonnegative rectangular tensors

被引：7
作者：
He, Jun [1 ]
Liu, Yan-Min [1 ]
Ke, Hua [1 ]
Tian, Jun-Kang [1 ]
Li, Xiang [1 ]
机构：
[1] Zunyi Normal Coll, Sch Math, Zunyi 563002, Guizhou, Peoples R China
来源：
OPEN MATHEMATICS | 2016年 / 14卷
关键词：
Bound; Rectangular tensor; Singular value; PERRON-FROBENIUS THEOREM; EIGENVALUE;
D O I：
10.1515/math-2016-0068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in "Singular values of nonnegative rectangular tensors".
引用
收藏
页码：761 / 766
页数：6
相关论文
共 50 条
  • [41] Rectangular M-tensors and strong rectangular M-tensors
    He, Jun
    Liu, Yanmin
    Xu, Guangjun
    SCIENCEASIA, 2021, 47 (02): : 257 - 263
  • [42] BOUNDS FOR THE SPECTRAL RADIUS OF NONNEGATIVE TENSORS
    Li, Chaoqian
    Wang, Yaqiang
    Yi, Jieyi
    Li, Yaotang
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (03) : 975 - 990
  • [43] A survey on the spectral theory of nonnegative tensors
    Chang, Kungching
    Qi, Liqun
    Zhang, Tan
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 20 (06) : 891 - 912
  • [44] Sharp bounds for spectral radius of nonnegative weakly irreducible tensors
    You, Lihua
    Huang, Xiaohua
    Yuan, Xiying
    FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (05) : 989 - 1015
  • [45] Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
    Zhou, Guanglu
    Qi, Liqun
    Wu, Soon-Yi
    FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (01) : 155 - 168
  • [46] On weakly irreducible nonnegative tensors and interval hull of some classes of tensors
    Kannan, M. Rajesh
    Shaked-Monderer, Naomi
    Berman, Abraham
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (04) : 667 - 679
  • [47] An alternating direction power-method for computing the largest singular value and singular vectors of a matrix
    Duan, Yonghong
    Wen, Ruiping
    AIMS MATHEMATICS, 2022, 8 (01): : 1127 - 1138
  • [48] The bounds on spectral radius of nonnegative tensors via general product of tensors
    Deng, Chunli
    Yao, Hongmei
    Bu, Changjiang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 602 : 206 - 215
  • [49] NUMERICAL ALGORITHMS FOR THE LARGEST STRUCTURED SINGULAR VALUE OF A μ-SYNTHESIS CONTROL SYSTEM
    Chen, Kun-Chu
    Wang, Chern-Shuh
    Yen, Ching-Chang
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (3A): : 973 - 998
  • [50] A New Estimate for the Spectral Radius of Nonnegative Tensors
    Cui, Jingjing
    Peng, Guohua
    Lu, Quan
    Huang, Zhengge
    FILOMAT, 2018, 32 (10) : 3409 - 3418
12345