Spectral Radius Inequalities of Hadamard Product for Nonnegative Matrices

被引:0
|
作者
Huang, Jing-Pin [1 ]
Wang, Jian-Li [1 ]
Huang, Hang-Zhou [1 ]
机构
[1] Guangxi Univ Nationalities, Coll Comp & Informat Sci, Nanning 530006, Peoples R China
来源
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年
关键词
nonnegative matrix; Hadamard product; spectral radius; inequalities;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A, B be two n -by- n nonnegative matrices. In this paper,we p;rove spectral radius inequalities of matrices Hadamard product that rho(A circle B) <= rho (A)rho(B) and rho((A circle)(m)) <= rho(m) (A), where m is a positive integer. Finally, by an example illustrated the inequalities are not hold for general real matrices.
引用
收藏
页码:99 / 101
页数:3
相关论文
共 50 条
  • [1] 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
  • [2] 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
  • [3] On the spectral radius and the spectral norm of Hadamard products of nonnegative matrices
    Huang, Zejun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (02) : 457 - 462
  • [4] NEW UPPER BOUNDS ON THE SPECTRAL RADIUS OF THE HADAMARD PRODUCT OF NONNEGATIVE MATRICES
    Sharma, Leena
    Badshah, V. H.
    Patel, H. K.
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2020, 48 (02): : 121 - 131
  • [5] BOUNDS ON THE SPECTRAL RADIUS OF A HADAMARD PRODUCT OF NONNEGATIVE OR POSITIVE SEMIDEFINITE MATRICES
    Horn, Roger A.
    Zhang, Fuzhen
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20
  • [6] On Some Spectral Radius Inequalities for the Hadamard Product of Nonnegative Tensors
    Yangyang Xu
    Licai Shao
    Guinan He
    Bulletin of the Malaysian Mathematical Sciences Society, 2024, 47
  • [7] 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)
  • [8] ON THE SPECTRAL RADIUS OF HADAMARD PRODUCTS OF NONNEGATIVE MATRICES
    Chen, Dongjun
    Zhang, Yun
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2015, 9 (02): : 127 - 133
  • [9] Some new inequalities for the Hadamard product of nonnegative matrices
    Li, Jing
    Hai, Han
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 606 : 159 - 169
  • [10] Brualdi-type Inequalities on Spectral Radius for the Hadamard Product of Nonnegative Tensors
    Xu, Yangyang
    FRONTIERS OF MATHEMATICS, 2025, 20 (01): : 87 - 108