On computing of arbitrary positive integer powers for one type of odd order skew-symmetric tridiagonal matrices with 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) for one type of skew-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 4 August 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.05.144