The Estimates of Euclid Distance for Generalized Eigenvalues of Matrces

被引:0
|
作者
Zhan, Xuzhou [1 ]
Zhan, Shilin [1 ]
机构
[1] Xidian Univ, Dept Math, Xian 710071, Peoples R China
关键词
H-normal; generalized eigenvalue; Euclid distance; Frobenius norm; perturbation theorem;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we discuss the estimates of Euclid distance for generalized eigenvalues of H-normal matrices. As applications, some perturbation theorems for normal matrices, complex positive definite matrices and diagonalizable matrices are established.
引用
收藏
页码:405 / 408
页数:4
相关论文
共 50 条
  • [1] ON THE GENERALIZED DISTANCE EIGENVALUES OF GRAPHS
    Alhevaz, A.
    Baghipur, M.
    Ganie, H. A.
    Das, K. C.
    MATEMATICKI VESNIK, 2024, 76 (1-2): : 29 - 42
  • [2] Bounds for the Generalized Distance Eigenvalues of a Graph
    Alhevaz, Abdollah
    Baghipur, Maryam
    Ganie, Hilal Ahmad
    Shang, Yilun
    SYMMETRY-BASEL, 2019, 11 (12):
  • [3] On the sum of the generalized distance eigenvalues of graphs
    Ganie, Hilal A.
    Alhevaz, Abdollah
    Baghipur, Maryam
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2021, 13 (01)
  • [4] On the eigenvalues and spread of the generalized distance matrix of a graph
    Maryam Baghipur
    Modjtaba Ghorbani
    Hilal A. Ganie
    S. Pirzada
    Computational and Applied Mathematics, 2022, 41
  • [5] SOME PROPERTIES OF GENERALIZED DISTANCE EIGENVALUES OF GRAPHS
    Ma, Yuzheng
    Shao, Yanling
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2024, 74 (01) : 1 - 15
  • [6] On the eigenvalues and spread of the generalized distance matrix of a graph
    Baghipur, Maryam
    Ghorbani, Modjtaba
    Ganie, Hilal A.
    Pirzada, S.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (05):
  • [7] Some properties of generalized distance eigenvalues of graphs
    Yuzheng Ma
    Yanling Shao
    Czechoslovak Mathematical Journal, 2024, 74 : 1 - 15
  • [8] On interval estimates of perturbations of generalized eigenvalues for diagonalizable pairs
    Xu, Wei-wei
    Ma, Li-juan
    Zhu, Lei
    Liu, Hao
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 562 : 15 - 43
  • [9] Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations
    Chu, Jifeng
    Meng, Gang
    Zhang, Zhi
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (07) : 6343 - 6358
  • [10] Estimates on Eigenvalues of Laplacian
    Qing-Ming Cheng
    Hongcang Yang
    Mathematische Annalen, 2005, 331 : 445 - 460