On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order—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 symmetric tridiagonal matrices of order n = 2p + 1 (p ∈ N).

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

论文评审过程：Available online 24 March 2005.

论文官网地址：https://doi.org/10.1016/j.amc.2005.01.108