Name
Title | ||
|---|---|---|
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field |
Abstract | ||
|---|---|---|
In this paper, we establish the determinantal representations of the generalized inverses A"r"""T"""""""1""","""S"""""""1^(^2^),A"l"""T"""""""2""","""S"""""""2^(^2^) and A"""("""T"""""""1""","""T"""""""2""")""","""("""S"""""""1""","""S"""""""2""")^(^2^) over the quaternion skew field by the theory of the column and row determinants. In addition, we derive some generalized Cramer rules for the unique solution of some restricted quaternion matrix equations. The findings of this paper extend some known results in the literature. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.01.026 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
quaternion skew field,quaternion matrix,unique solution,known result,s ( 2 ),cramer rule,generalized inverse a t,generalized cramer rule,restricted quaternion matrix equation,row determinant,determinantal representation,restricted matrix equation,generalized inverse,matrix equation | Combinatorics,Quaternion matrix,Matrix (mathematics),Mathematical analysis,Quaternion,Cramer's rule,Skew,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 6 | Computers and Mathematics with Applications |
Citations | PageRank | References |
8 | 0.82 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guang-Jing Song | 1 | 45 | 7.06 |
| Qing-Wen Wang | 2 | 170 | 26.94 |
| Hai-Xia Chang | 3 | 38 | 3.72 |