On computing of arbitrary positive integer powers for tridiagonal matrices with elements −1,0,0, … ,0 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 of arbitrary order.

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

论文评审过程：Available online 27 March 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.03.051