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 27 September 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.07.145