Bounds for the zeros of polynomials from matrix inequalities

被引：47

作者：

Kittaneh, F ^{[1
]}

机构：

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

来源：

ARCHIV DER MATHEMATIK | 2003年 / 81卷 / 05期

关键词：

D O I：

10.1007/s00013-003-0525-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply several matrix inequalities to the Frobenius companion matrices of monic polynomials to derive new bounds for the zeros of these polynomials. Our analysis enables us to improve an earlier bound of Abdurakhmanov and to give a different proof of a known bound of Fujii and Kuhn.

引用

页码：601 / 608

页数：8

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