BOUNDS FOR THE EIGENVALUES OF MATRICES

被引：0

作者：

Zou, Limin ^{[1
]}

Jiang, Youyi ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404100, Peoples R China

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2014年 / 32期

关键词：

eigenvalues; Frobenius norm; trace; disk;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that all the eigenvalues of arbitrarily complex matrix lies in a closed disk with the radius involving the sum of the squares of the absolute values of the eigenvalues. So, any known upper bound on this sum of squares yields a "new" eigenvalues inclusion region. As applications, some existing results are obtained or improved.

引用

页码：519 / 524

页数：6