Title
A Note on the Square Roots of a Class of Circulant Matrices.
Abstract
We prove that any k-circulant matrix and any even order skew k-circulant matrix are diagonalizable for any k is an element of 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.
Year
DOI
Venue
2013
10.1155/2013/601243
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Discrete mathematics,Diagonalizable matrix,Circulant matrix,Skew,Square root,Mathematics
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Ying Zhang116325.25
Hui-sheng Zhang215924.84
Guoyan Chen300.34