Bounds for the Eigenvalues of Matrix Polynomials with Commuting Coefficients

被引：3

作者：

Bani-Domi, Watheq ^{[1
]}

Kittaneh, Fuad ^{[2
]}

Mustafa, Rawan ^{[2
]}

机构：

[1] Yarmouk Univ, Dept Math, Irbid, Jordan

[2] Univ Jordan, Dept Math, Amman, Jordan

来源：

RESULTS IN MATHEMATICS | 2023年 / 78卷 / 03期

关键词：

Matrix polynomial; companion matrix; eigenvalue; spectral radius; numerical radius; spectral norm; inequality; NUMERICAL RADIUS; INEQUALITIES; ZEROS;

D O I：

10.1007/s00025-023-01853-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页数：18

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