Powers of tridiagonal matrices with constant diagonals
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摘要
In this paper, we derive a general expression for the entries of the qth power (q∈N) of the n×n complex tridiagonal matrix tridiagn(a1,a0,a-1) for all n∈N, in terms of the Chebyshev polynomials of the second kind.
论文关键词:Tridiagonal matrices,Eigenvalues,Eigenvectors,Jordan’s form,Chebyshev polynomials
论文评审过程:Available online 14 October 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.10.005