Some inequalities on the spectral radius of matrices

被引:9
|
作者
Zhao, Linlin [1 ]
Liu, Qingbing [2 ]
机构
[1] Dezhou Univ, Coll Math Sci, Dezhou 253023, Shandong, Peoples R China
[2] Zhejiang Wanli Univ, Dept Math, Ningbo 315100, Zhejiang, Peoples R China
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词
spectral radius; nonnegative matrix; Hadamard product; HADAMARD PRODUCT; FAN PRODUCT; EIGENVALUES; BOUNDS;
D O I
10.1186/s13660-017-1598-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A(1), A(2),..., A(k) be nonnegative matrices. In this paper, some upper bounds for the spectral radius rho(A(1) circle A(2)circle ... circle A(k)) are proposed. These bounds generalize someexisting results, and comparisons between these bounds are also considered.
引用
收藏
页数:12
相关论文
共 50 条
  • [1] Some inequalities on the spectral radius of matrices
    Linlin Zhao
    Qingbing Liu
    Journal of Inequalities and Applications, 2018
  • [2] Some new inequalities on spectral radius for the Hadamard product of nonnegative matrices
    Xu, Yangyang
    Shao, Licai
    Dong, Tiantian
    He, Guinan
    Chen, Zimo
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2025, : 727 - 749
  • [3] Spectral Radius Inequalities of Hadamard Product for Nonnegative Matrices
    Huang, Jing-Pin
    Wang, Jian-Li
    Huang, Hang-Zhou
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 99 - 101
  • [4] Some inequalities on the spectral radius of nonnegative tensors
    Ma, Chao
    Liang, Hao
    Xie, Qimiao
    Wang, Pengcheng
    OPEN MATHEMATICS, 2020, 18 : 262 - 269
  • [5] Some new bounds on the spectral radius of matrices
    Liu, Qingbing
    Chen, Guoliang
    Zhao, Linlin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (04) : 936 - 948
  • [6] Some new estimations on the spectral radius of the Schur product of matrices
    Chen, Fubin
    AIMS MATHEMATICS, 2025, 10 (01): : 97 - 116
  • [7] Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices
    Huang, Zheng-ge
    Xu, Zhong
    Lu, Quan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 14
  • [8] On Some Spectral Radius Inequalities for the Hadamard Product of Nonnegative Tensors
    Xu, Yangyang
    Shao, Licai
    He, Guinan
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (01)
  • [9] Some spectral norm inequalities on Hadamard products of nonnegative matrices
    Zhang, Yun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 556 : 162 - 170
  • [10] SOME INEQUALITIES FOR THE SPECTRAL RADIUS OF THE HADAMARD PRODUCT OF TWO NONNEGATIVE MATRICES
    Cheng, Guanghui
    Rao, Xi
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (03): : 529 - 534