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

Lebtahi Ep-Kadi-Hahifi Leila, Stuart Jeffrey , Thome Coppo Néstor Javier, R. Weaver James

2013

Linear Algebra and its Applications

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.