摘要
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.
- 出版日期2013
- 单位大连海事大学