On computing of arbitrary positive integer powers for one type of odd order tridiagonal matrices with two zero rows and eigenvalues on imaginary axis-I

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摘要

In this paper we derive the general expression of the lth power (l ∈ N, l ⩾ 2) for one type of tridiagonal matrices of order n = 2p + 1 (p ∈ N, p ⩾ 2).

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

论文评审过程:Available online 28 August 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.06.109