On the numerical ranges of matrix products

https://doi.org/10.1016/j.aml.2010.02.019Get rights and content
Under an Elsevier user license
open archive

Abstract

Let A and C be n×n complex matrices. The C-numerical range of A is defined as the set WC(A)={tr(CUAU):UMn,UU=In}. We study classes of matrices that two matrices A, B in the respective class satisfy WC(AB)=WC(BA) for a certain complex matrix C.

Keywords

Numerical ranges
Commutativity
Toeplitz matrices
Continuant matrices

Cited by (0)