COMPUTING INTEGER POWERS FOR A CERTAIN FAMILY OF SKEW CIRCULANT MATRICES

COMPUTING INTEGER POWERS FOR A CERTAIN FAMILY OF SKEW CIRCULANT MATRICES

A. Öteleş

[PDF]

Abstract

In this paper, we derive a formula for the entries of the integer powers of a certain type of skew circulant matrices of odd and even order in terms of the Chebyshev polynomials of the rst and second kind. Finally, we give a Maple procedure along with some numerical examples in order to verify our calculation.

Keywords

Skew circulant matrix, eigenvalues, eigenvectors, Jordan's form, Chebyshev polynomial.