On computing of arbitrary positive integer powers for one type of even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis-II

This paper is an extension of the work (On computing of arbitrary positive integer powers for one type of even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis-I, Appl. Math. Comput., in press), in which the general expression of the lth power (l ∈ N) for one type of tridiagonal matrices of order n = 2p (p ∈ N) is given. In this new paper we present the complete derivation of this general expression. Expressions of eigenvectors of the matrix and of the transforming matrix and its inverse are given, too.