Name
Title | ||
|---|---|---|
On a transformation of the ∗-congruence Sylvester equation for the least squares optimization. |
Abstract | ||
|---|---|---|
The star-congruence Sylvester equation is the matrix equation AX + (XB)-B-star = C, where A is an element of F-mxm, B is an element of F-nxm and C is an element of F-mxm are given, whereas X is an element of F-nxm is to be determined. Here, F = R or C, and star = T (transposed) or (*) (conjugate transposed). Very recently, Satake et al. showed that under some conditions, the matrix equation for the case star = T is equivalent to the generalized Sylvester equation. In this paper, we demonstrate that the result can be extended to the case star = (*). Through this extension, the least squares solution of the (*)-congruence Sylvester equation may be obtained using well-researched results on the least squares solution of the generalized Sylvester equation. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1080/10556788.2020.1734004 | OPTIMIZATION METHODS & SOFTWARE |
Keywords | DocType | Volume |
The star-congruence Sylvester equation,the T-congruence Sylvester equation,the (*)-congruence Sylvester equation | Journal | 35 |
Issue | ISSN | Citations |
SP5 | 1055-6788 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuki Satake | 1 | 0 | 0.34 |
| Tomohiro Sogabe | 2 | 154 | 20.86 |
| Tomoya Kemmochi | 3 | 0 | 0.34 |
| Shao-Liang Zhang | 4 | 92 | 19.06 |