INEQUALITIES FOR SELECTED EIGENVALUES OF THE PRODUCT OF MATRICES

被引:5
|
作者
Xi, Bo-Yan [1 ]
Zhang, Fuzhen [2 ]
机构
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China
[2] Nova Southeastern Univ, Dept Math, 33301 Coll Ave, Ft Lauderdale, FL 33314 USA
基金
中国国家自然科学基金;
关键词
Eigenvalue; Hermitian matrix; inequality; positive semidefinite matrix;
D O I
10.1090/proc/14529
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.
引用
收藏
页码:3705 / 3713
页数:9
相关论文
共 50 条
  • [1] New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
    Qian-Ping Guo
    Hou-Biao Li
    Ming-Yan Song
    Journal of Inequalities and Applications, 2013
  • [2] New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
    Guo, Qian-Ping
    Li, Hou-Biao
    Song, Ming-Yan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [3] SOME INEQUALITIES FOR THE EIGENVALUES OF THE PRODUCT OF POSITIVE SEMIDEFINITE HERMITIAN MATRICES
    WANG, BY
    ZHANG, FZ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 160 : 113 - 118
  • [4] Inequalities for eigenvalues of matrices
    Xiaozeng Xu
    Chuanjiang He
    Journal of Inequalities and Applications, 2013
  • [5] Inequalities for eigenvalues of matrices
    Xu, Xiaozeng
    He, Chuanjiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [6] ON INEQUALITIES FOR EIGENVALUES OF MATRICES
    GIL, MI
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 184 : 201 - 206
  • [7] Inequalities for generalized eigenvalues of quaternion matrices
    Yan Hong
    Feng Qi
    Periodica Mathematica Hungarica, 2021, 83 : 12 - 19
  • [8] Inequalities for generalized eigenvalues of quaternion matrices
    Hong, Yan
    Qi, Feng
    PERIODICA MATHEMATICA HUNGARICA, 2021, 83 (01) : 12 - 19
  • [9] Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices
    Bhatia, Rajendra
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2019, 30 (11)
  • [10] ON INEQUALITIES INVOLVING EIGENVALUES AND TRACES OF HERMITIAN MATRICES
    Sharma, Rajesh
    Kumar, Ravinder
    Garga, Shalini
    ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (02) : 78 - 90