Name
Title | ||
|---|---|---|
Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix. |
Abstract | ||
|---|---|---|
The iterative method of generalized coupled Sylvester-transpose linear matrix equations AXB+CYTD=S1,EXTF+GYH=S2 over reflexive or anti-reflexive matrix pair (X,Y) is presented. On the condition that the coupled matrix equations are consistent, we show that the solution pair (X∗,Y∗) proposed by the iterative method can be obtained within finite iterative steps in the absence of roundoff-error for any initial value given a reflexive or anti-reflexive matrix. Moreover, the optimal approximation reflexive or anti-reflexive matrix solution pair to an arbitrary given reflexive or anti-reflexive matrix pair can be derived by searching the least Frobenius norm solution pair of the new generalized coupled Sylvester-transpose linear matrix equations. Finally, some numerical examples are given which illustrate that the introduced iterative algorithm is quite efficient. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.camwa.2014.04.012 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Iterative method,Generalized coupled Sylvester-transpose matrix equations,Symmetric orthogonal matrix,Reflexive or anti-reflexive matrix,Least Frobenius norm solution | Convergent matrix,Mathematical optimization,Coefficient matrix,Matrix (mathematics),Matrix function,Square matrix,Symmetric matrix,Block matrix,Mathematics,Matrix splitting | Journal |
Volume | Issue | ISSN |
67 | 11 | 0898-1221 |
Citations | PageRank | References |
19 | 0.65 | 24 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yajun Xie | 1 | 35 | 2.26 |
| Na Huang | 2 | 30 | 3.22 |
| Changfeng Ma | 3 | 197 | 29.63 |