Bounds for the Eigenvalues of Matrix Polynomials with Commuting Coefficients

被引：0
|
作者：
Watheq Bani-Domi
Fuad Kittaneh
Rawan Mustafa
机构：
[1] Yarmouk University,Department of Mathematics
[2] The University of Jordan,Department of Mathematics
来源：
Results in Mathematics | 2023年 / 78卷
关键词：
Matrix polynomial; companion matrix; eigenvalue; spectral radius; numerical radius; spectral norm; inequality; 15A42; 15A60; 47A12; 47A30; 47A63;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give several new upper bounds for the eigenvalues of monic matrix polynomials with commuting coefficients by applying several numerical radius inequalities to the Frobenius companion matrices of these polynomials.
引用
收藏
相关论文
共 50 条
  • [11] BOUNDS FOR THE EIGENVALUES OF NON-MONIC OPERATOR POLYNOMIALS
    Gao, Muqile
    Wu, Deyu
    Chen, Alatancang
    OPERATORS AND MATRICES, 2024, 18 (03): : 677 - 691
  • [12] Perturbation Bounds for Eigenvalues of Commuting Matrices
    Wu, Guoxing
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 312 - 314
  • [13] Bound estimates of the eigenvalues of matrix polynomials
    Z. B. Monga
    W. M. Shah
    The Journal of Analysis, 2023, 31 (4) : 2973 - 2983
  • [14] Bound estimates of the eigenvalues of matrix polynomials
    Monga, Z. B.
    Shah, W. M.
    JOURNAL OF ANALYSIS, 2023, 31 (04) : 2973 - 2983
  • [15] On bounds of matrix eigenvalues
    Chen, Jinhai
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2007, 10 (04): : 723 - 726
  • [16] Bounds for the zeros of polynomials from matrix inequalities - II
    Kittaneh, Fuad
    Shebrawi, Khalid
    LINEAR & MULTILINEAR ALGEBRA, 2007, 55 (02) : 147 - 158
  • [17] Polynomial eigenvalue bounds from companion matrix polynomials
    Melman, A.
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (03) : 598 - 612
  • [18] ON THE LOCATION OF EIGENVALUES OF MATRIX POLYNOMIALS
    Cong-Trinh Le
    Thi-Hoa-Binh Du
    Tran-Duc Nguyen
    OPERATORS AND MATRICES, 2019, 13 (04): : 937 - 954
  • [19] Matrix polynomials with specified eigenvalues
    Karow, Michael
    Mengi, Emre
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 466 : 457 - 482
  • [20] GERSHGORIN TYPE SETS FOR EIGENVALUES OF MATRIX POLYNOMIALS
    Michailidou, Christina
    Psarrakos, Panayiotis
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2018, 34 : 652 - 674
12345