Name
Abstract | ||
|---|---|---|
The present work proposed an alternative approach to find the closed-form solutions of the nonhomogeneous Yakubovich matrix equation X−AXB=CY+R. Based on the derived closed-form solution to the nonhomogeneous Yakubovich matrix equation, the solutions to the nonhomogeneous Yakubovich quaternion j-conjugate matrix equation X−AX̂B=CY+R are obtained by the use of the real representation of a quaternion matrix. The existing complex representation method requires the coefficient matrix A to be a block diagonal matrix over complex field. In contrast in this publication we allow a quaternion matrix of any dimension. As an application, eigenstructure assignment problem for descriptor linear systems is considered. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.cam.2018.05.003 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Closed-form solution,Quaternion matrix equation,Real representation | Complex representation,Real representation,Coefficient matrix,Linear system,Matrix (mathematics),Mathematical analysis,Quaternion,Pure mathematics,Assignment problem,Block matrix,Mathematics | Journal |
Volume | ISSN | Citations |
343 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Caiqin Song | 1 | 4 | 2.49 |
| Guo-Liang Chen | 2 | 106 | 17.84 |