On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1, 1, 1, … , 1; −1, −1, −1, … , −1 in neighbouring diagonals

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摘要

In this paper, we derive the general expression of the lth power (l ∈ N) for one type of anti-tridiagonal matrices of even order.

论文关键词：Anti-tridiagonal matrices,Eigenvalues,Eigenvectors,Chebyshev polynomials

论文评审过程：Available online 25 July 2008.

论文官网地址：https://doi.org/10.1016/j.amc.2008.07.021