Some inequalities for nonnegative tensors

被引:0
|
作者
Jun He
Ting-Zhu Huang
Guang-Hui Cheng
机构
[1] University of Electronic Science and Technology of China,School of Mathematical Sciences
关键词
Perron vector; nonnegative tensor; spectral radius; eigenvalues;
D O I
暂无
中图分类号
学科分类号
摘要
Let A be a nonnegative tensor and x=(xi)>0 its Perron vector. We give lower bounds for xtm−1/∑xi2⋯xim and upper bounds for xsm−1/∑xi2⋯xim, where xs=max1≤i≤nxi and xt=min1≤i≤nxi.
引用
收藏
相关论文
共 50 条
  • [21] Nonnegative tensors revisited: plane stochastic tensors
    Che, Maolin
    Bu, Changjiang
    Qi, Liqun
    Wei, Yimin
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (07): : 1364 - 1391
  • [22] Strictly nonnegative tensors and nonnegative tensor partition
    ShengLong Hu
    ZhengHai Huang
    LiQun Qi
    [J]. Science China Mathematics, 2014, 57 : 181 - 195
  • [23] Some new inequalities for the Hadamard product of nonnegative matrices
    Li, Jing
    Hai, Han
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 606 : 159 - 169
  • [24] SOME INEQUALITIES FOR SPECTRAL RADIUS OF NONNEGATIVE MATRICES AND APPLICATIONS
    FRIEDLAND, S
    KARLIN, S
    [J]. DUKE MATHEMATICAL JOURNAL, 1975, 42 (03) : 459 - 490
  • [25] Further results and some open problems on the primitive degree of nonnegative tensors
    Yuan, Pingzhi
    He, Zilong
    You, Lihua
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 480 : 72 - 92
  • [26] SOME INEQUALITIES ON THE PERRON EIGENVALUE AND EIGENVECTORS FOR POSITIVE TENSORS
    Liu, Qingbing
    Li, Chaoqian
    Zhang, Chengyi
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (02): : 405 - 414
  • [27] Some inequalities for the Fan product of M-tensors
    Wang, Gang
    Wang, Yanan
    Zhang, Yuan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [28] Some inequalities for sums of nonnegative definite matrices in quaternions
    Yongge Tian
    George PH Styan
    [J]. Journal of Inequalities and Applications, 2005
  • [29] Some inequalities for sums of nonnegative definite matrices in quaternions
    Tian, Yongge
    Styan, George P. H.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2005, 2005 (05) : 449 - 458
  • [30] Nonnegative solutions of some quasilinear elliptic inequalities and applications
    D'Ambrosio, L.
    Mitidieri, E.
    [J]. SBORNIK MATHEMATICS, 2010, 201 (06) : 855 - 871