Binomial coefficients and powers of large 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⩾2(q-1), in terms of binomial coefficients.
论文关键词:Tridiagonal matrices,Powers of matrices,Binomial coefficients
论文评审过程:Available online 20 April 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2013.03.090