Name
Abstract | ||
|---|---|---|
In the present paper, we investigate the quaternion matrix equation X−AXF=C and X−A[Xtilde]F=C. For convenience, we named the quaternion matrix equations X−AXF=C and X−A[Xtilde]F=C as quaternion Stein matrix equation and quaternion Stein-conjugate matrix equation. Based on the Kronecker map and complex representation of a quaternion matrix, we give the solution expressions of the quaternion Stein matrix equation and quaternion Stein-conjugate matrix equation. Through these expressions, we can easily obtain the solution of the above two equations. In order to compare the direct algorithm with the indirect algorithm, we propose an example to illustrate the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1080/00207160.2012.666346 | International Journal of Computer Mathematics |
Keywords | Field | DocType |
quaternion stein-conjugate matrix equation,present paper,complex representation,direct algorithm,solution expression,quaternion matrix equation x,explicit solution,indirect algorithm,kronecker map,quaternion stein matrix equation,quaternion matrix,matrix equation,controllability matrix,observability matrix | Pascal matrix,Mathematical analysis,Matrix difference equation,Matrix function,Quaternion algebra,Hurwitz quaternion,Hypercomplex analysis,Block matrix,Centrosymmetric matrix,Mathematics | Journal |
Volume | Issue | ISSN |
89 | 7 | 0020-7160 |
Citations | PageRank | References |
3 | 0.45 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Caiqin Song | 1 | 4 | 2.49 |
| Guo-Liang Chen | 2 | 106 | 17.84 |
| Qingbing Liu | 3 | 5 | 2.58 |