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2013 A Note on the Square Roots of a Class of Circulant Matrices
Ying Zhang, Huisheng Zhang, Guoyan Chen
J. Appl. Math. 2013: 1-6 (2013). DOI: 10.1155/2013/601243

Abstract

We prove that any k-circulant matrix and any even order skew k-circulant matrix are diagonalizable for any k. 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.

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Ying Zhang. Huisheng Zhang. Guoyan Chen. "A Note on the Square Roots of a Class of Circulant Matrices." J. Appl. Math. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/601243

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950775
MathSciNet: MR3130993
Digital Object Identifier: 10.1155/2013/601243

Rights: Copyright © 2013 Hindawi

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