On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with zero row–I

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摘要

In this paper we derive the general expression of the l-th power (l ∈ N, l ⩾ 2) for one type of tridiagonal matrices of order n = 2p (p ∈ N, p ⩾ 2) with zeros in the first row.

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

论文评审过程:Available online 11 August 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.04.022