A note on computing of positive integer powers for circulant matrices

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摘要

Koken et al. (Positive integer powers for one type of odd order circulant matrices, Appl. Math. Comput. 217 (2011) 4377–4381) proposed the general expression of the qth power for one type of odd order circulant matrices. In this paper, we give another method to computing arbitrary positive integer powers for arbitrary order circulant matrices, it is shown that this method is simpler than Koken’s method.

论文关键词:Circulant matrix,The Binomial Theorem,The Multinomial Theorem

论文评审过程:Available online 11 September 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.08.016