BOUNDS FOR SPECTRAL RADIUS OF NONNEGATIVE TENSORS USING MATRIX-DIGRAGH-BASED APPROACH

被引:2
|
作者
Liu, Guimin [1 ]
Lv, Hongbin [1 ]
机构
[1] Beihua Univ, Sch Math & Stat, Jilin, Jilin, Peoples R China
关键词
Bounds; spectral radius; nonnegative tensor; matrix digraph; PERRON-FROBENIUS THEOREM; EIGENVALUE;
D O I
10.3934/jimo.2021176
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We obtain the improved results of the upper and lower bounds for the spectral radius of a nonnegative tensor by its majorization matrix's digraph. Numerical examples are also given to show that our results are significantly superior to the results of related literature.
引用
收藏
页码:105 / 116
页数:12
相关论文
共 50 条
  • [1] 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
  • [2] New bounds for the spectral radius for nonnegative tensors
    Li, Lixia
    Li, Chaoqian
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [3] New bounds for the spectral radius for nonnegative tensors
    Lixia Li
    Chaoqian Li
    Journal of Inequalities and Applications, 2015
  • [4] Some bounds for the spectral radius of nonnegative tensors
    Li, Wen
    Ng, Michael K.
    NUMERISCHE MATHEMATIK, 2015, 130 (02) : 315 - 335
  • [5] Some bounds for the spectral radius of nonnegative tensors
    Wen Li
    Michael K. Ng
    Numerische Mathematik, 2015, 130 : 315 - 335
  • [6] Bounds for the Z-spectral radius of nonnegative tensors
    He, Jun
    Liu, Yan-Min
    Ke, Hua
    Tian, Jun-Kang
    Li, Xiang
    SPRINGERPLUS, 2016, 5
  • [7] 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
  • [8] 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
  • [9] Sharp bounds on the spectral radius of a nonnegative matrix
    Duan, Xing
    Zhou, Bo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (10) : 2961 - 2970
  • [10] Sharp bounds for spectral radius of nonnegative weakly irreducible tensors
    Lihua You
    Xiaohua Huang
    Xiying Yuan
    Frontiers of Mathematics in China, 2019, 14 : 989 - 1015