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.

引用

页码：732 / 737

页数：6

共 10 条

[1]

[Anonymous], 1991, Topics in Matrix Analysis, 1991

[2] Boundary generating curves of the c-numerical range [J].