ON THE POLYNOMIAL NUMERICAL HULL OF A NORMAL MATRIX

被引：1

作者：

Afshin, Hamid Reza ^{[1
]}

Mehrjoofard, Mohammad Ali ^{[1
]}

机构：

[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2011年 / 5卷 / 01期

关键词：

Polynomial numerical hull; joint numerical range; polynomial inverse image; normal matrix;

D O I：

10.15352/bjma/1313362983

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be any n-by-n normal matrix and let k > 0 be an integer. By using the concept of the joint numerical range W(A, A(2), ..., A(k)), an analytic description of V(k)(A) for normal matrices will be presented. Additionally, new proof for Theorem 2.2 of Davis, Li and Salemi [Linear Algebra Appl., 428 (2008), pp. 137-153] is given.

引用

页码：88 / 93

页数：6

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