Matrices A such that RA = A^s+1 R when R^k = I

Autores UPV
Año
Revista LINEAR ALGEBRA AND ITS APPLICATIONS

Abstract

This paper examines matrices A∈C^n¿n such that RA = A^s+1 R where R^k = I, the identity matrix, and where s and k are non negative integers with k >=2. Spectral theory is used to characterize these matrices. The cases s = 0 and s > 1 are considered separately since they are analyzed by different techniques.