The numerical radius and bounds for zeros of a polynomial

被引：16

作者：

Alpin, YA ^{[1
]}

Chien, MT

Yeh, L

机构：

[1] Kazan VI Lenin State Univ, Dept Math & Mech, Kazan 420008, Russia

[2] Soochow Univ, Dept Math, Taipei 11102, Taiwan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 03期

关键词：

Perron root; numerical range; numerical radius; companion matrix;

D O I：

10.1090/S0002-9939-02-06623-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p( t) be a monic polynomial. We obtain two bounds for zeros of p( t) via the Perron root and the numerical radius of the companion matrix of the polynomial.

引用

页码：725 / 730

页数：6

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