On computing of arbitrary positive integer powers for one type of even order symmetric circulant matrices-II

This article is an extension of the work (J. Rimas, On computing of arbitrary positive integer powers for one type of even order symmetric circulant matrices-I, Appl. Math. Comput., in press), in which the general expression of the lth power (l ∈ N) for one type of even order symmetric circulant matrices is given. In this new paper we present the complete derivation of this general expression. Expressions of eigenvectors and of the transforming matrix and its inverse are given, too.