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
  • [41] NEW BOUNDS FOR THE SPREAD OF A MATRIX USING THE RADIUS OF THE SMALLEST DISC THAT CONTAINS ALL EIGENVALUES
    Frakis, A.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2020, 89 (01): : 87 - 96
  • [42] 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
  • [43] LOCATING THE EIGENVALUES OF MATRIX POLYNOMIALS
    Bini, Dario A.
    Noferini, Vanni
    Sharify, Meisam
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2013, 34 (04) : 1708 - 1727
  • [44] Matrix polynomials with specified eigenvalues
    Karow, Michael
    Mengi, Emre
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 466 : 457 - 482
  • [45] Inequalities for Numerical Radius and Spectral Radius
    Al-Hawari, M.
    Barahmeh, Sa'ed M.
    JOURNAL OF ADVANCED MATHEMATICS AND APPLICATIONS, 2016, 5 (02) : 131 - 133
  • [46] Guaranteed numerical bounds for eigenvalues
    Plum, M
    SPECTRAL THEORY AND COMPUTATIONAL METHODS OF STURM-LIOUVILLE PROBLEMS, 1997, 191 : 313 - 332
  • [47] SOME INEQUALITIES FOR THE NUMERICAL RADIUS AND RHOMBIC NUMERICAL RADIUS
    Bajmaeh, Akram Babri
    Omidvar, Mohsen Erfanian
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (04): : 569 - 577
  • [48] TRUNCATIONS IN UPPER BOUNDS FOR EIGENVALUES OF OPERATOR POLYNOMIALS
    LINDEN, H
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1977, 292 : 77 - 89
  • [49] On the distance from a matrix polynomial to matrix polynomials with some prescribed eigenvalues
    Kokabifar, E.
    Psarrakos, P. J.
    Loghmani, G. B.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 544 : 158 - 185
  • [50] Bounds and inequalities for Lm extremal polynomials
    Shi, YG
    JOURNAL OF APPROXIMATION THEORY, 2002, 115 (01) : 167 - 185
12345