On computing of arbitrary positive integer powers for one type of odd 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 symmetric odd order circulant matrices-I, Appl. Math. Comput, in press], in which the general expression of the lth power (l ∈ N) for one type of symmetric odd order circulant matrices is given. In this new paper we present the complete derivation of this general expression. Expressions of eigenvectors and Jordan's form of the matrix and of the transforming matrix and its inverse are given, too.