On the numerical ranges of matrix products

被引：4
|
作者：
Chien, Mao-Ting [1 ]
Ko, Chung-Lien [1 ]
Nakazato, Hiroshi [2 ]
机构：
[1] Soochow Univ, Dept Math, Taipei 11102, Taiwan
[2] Hirosaki Univ, Fac Sci & Technol, Dept Math Sci, Hirosaki, Aomori 0368561, Japan
来源：
APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 06期
关键词：
Numerical ranges; Commutativity; Toeplitz matrices; Continuant matrices;
D O I：
10.1016/j.aml.2010.02.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A and C be n x n complex matrices. The C-numerical range of A is defined as the set W(c)(A) = {tr(CU*AU) : U is an element of M(n), U*U = I(n)}. We study classes of matrices that two matrices A. B in the respective class satisfy W(C)(AB) = W(C)(BA) for a certain complex matrix C. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：732 / 737
页数：6
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