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

页码：734 / 743

页数：10

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