On computing of arbitrary positive integer powers for one type of tridiagonal matrices of even order

Abstract: This paper is an extension of the work [On computing of arbitrary positive integer powers for one type of tridiagonal matrices, Applied Mathematics and Computation, to appear], in which the general expression of the lth power (l∈N) for one type of tridiagonal matrices of order n=2p+1 (p∈N) is presented. In this new paper we derive the general expression of the lth power (l∈N) for the same type of tridiagonal matrices of order n=2p (p∈N). Expressions of eigenvectors and Jordan’s form of the matrix, and of transforming matrix and its inverse are given, too. [Copyright &y& Elsevier]