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

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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(p ∈ N).

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

论文评审过程:Available online 21 November 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.09.017