Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities

被引：7
|
作者：
Jaradat, Abeer [1 ]
Kittaneh, Fuad [1 ]
机构：
[1] Univ Jordan, Dept Math, Amman, Jordan
来源：
ADVANCES IN OPERATOR THEORY | 2020年 / 5卷 / 03期
关键词：
Matrix polynomial; Companion matrix; Eigenvalue; Numerical radius; COMPANION MATRIX; ROOTS; ZEROS;
D O I：
10.1007/s43036-020-00041-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We apply several numerical radius inequalities to the Frobenius companion matrices of monic matrix polynomials to derive new bounds for the eigenvalues of these polynomials. One of our bounds improves upon an earlier bound due to Higham and Tisseur.
引用
收藏
页码：734 / 743
页数：10
相关论文
共 50 条
  • [1] Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities
    Abeer Jaradat
    Fuad Kittaneh
    Advances in Operator Theory, 2020, 5 : 734 - 743
  • [2] BOUNDS FOR THE ZEROS OF POLYNOMIALS FROM NUMERICAL RADIUS INEQUALITIES
    Shebrawi, Khalid
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (02): : 557 - 563
  • [3] BOUNDS FOR THE EIGENVALUES OF NON-MONIC OPERATOR POLYNOMIALS
    Gao, Muqile
    Wu, Deyu
    Chen, Alatancang
    OPERATORS AND MATRICES, 2024, 18 (03): : 677 - 691
  • [4] Bounds for the Eigenvalues of Matrix Polynomials with Commuting Coefficients
    Bani-Domi, Watheq
    Kittaneh, Fuad
    Mustafa, Rawan
    RESULTS IN MATHEMATICS, 2023, 78 (03)
  • [5] Bounds for the Eigenvalues of Matrix Polynomials with Commuting Coefficients
    Watheq Bani-Domi
    Fuad Kittaneh
    Rawan Mustafa
    Results in Mathematics, 2023, 78
  • [6] New Bounds For The Eigenvalues Of Matrix Polynomials
    Burqan, Aliaa
    Hbabesh, Hamdan
    Qazza, Ahmad
    Khandaqji, Mona
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (02): : 806 - 818
  • [7] NEW ESTIMATE FOR THE NUMERICAL RADIUS OF A GIVEN MATRIX AND BOUNDS FOR THE ZEROS OF POLYNOMIALS
    Al-Hawari, Mohammad
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2009, 54 (04): : 73 - 80
  • [8] Bounds for eigenvalues of matrix polynomials
    Higham, NJ
    Tisseur, F
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 358 : 5 - 22
  • [9] Bounds for the zeros of polynomials from matrix inequalities - II
    Kittaneh, Fuad
    Shebrawi, Khalid
    LINEAR & MULTILINEAR ALGEBRA, 2007, 55 (02) : 147 - 158
  • [10] ON THE BOUNDS OF THE EIGENVALUES OF MATRIX POLYNOMIALS
    Shah, Wali Mohammad
    Monga, Zahid Bashir
    KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (02): : 145 - 152
12345