On computing of arbitrary positive integer powers for tridiagonal matrices with elements −1, 0, 0, … , 0, 1 in principal and 1, 1, 1, … , 1 in neighbouring diagonals – I

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摘要

In this paper we derive the general expression of the lth power (l ∈ N) for one type of tridiagonal matrices.

论文关键词：Tridiagonal matrices,Eigenvalues,Eigenvectors,Jordan’s form,Chebyshev polynomials

论文评审过程：Available online 16 November 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2006.10.022