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 Zhang | 1 | 163 | 25.25 |
Hui-sheng Zhang | 2 | 159 | 24.84 |
Guoyan Chen | 3 | 0 | 0.34 |