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, 1-6

Abstract:

We prove that any -circulant matrix and any even order skew -circulant matrix are diagonalizable for any . Then, we propose two algorithms for computing the square roots of the -circulant matrix and the skew -circulant matrix, respectively. In particular, we show that the square roots of the -circulant matrix are still -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:601243

DOI: 10.1155/2013/601243

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