On computing of arbitrary positive integer powers of odd 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 odd order.

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

论文评审过程:Available online 11 November 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.11.001