On computing of arbitrary positive integer powers for one type of even order 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 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 19 January 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.01.020