A Note on the Square Roots of a Class of Circulant Matrices

Ying Zhang, Huisheng Zhang and Guoyan Chen

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We prove that any k‐circulant matrix and any even order skew k‐circulant matrix are diagonalizable for any k ∈ ℂ. Then, we propose two algorithms for computing the square roots of the k‐circulant matrix and the skew k‐circulant matrix, respectively. In particular, we show that the square roots of the k‐circulant matrix are still k‐circulant matrices. Both the theoretical analysis and the numerical experiments show that our algorithms are faster than the standard Schur method.

Date: 2013
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https://doi.org/10.1155/2013/601243

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:601243

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