Name
Title | ||
|---|---|---|
Generalized conjugate direction method for solving a class of generalized coupled Sylvester-conjugate transpose matrix equations over generalized Hamiltonian matrices. |
Abstract | ||
|---|---|---|
In this paper, a generalized conjugate direction (GCD) method for finding the generalized Hamiltonian solutions of a class of generalized coupled Sylvester-conjugate transpose matrix equations is proposed. Furthermore, it is proved that the algorithm can compute the least Frobenius norm generalized Hamiltonian solution group of the problem by choosing a special initial matrix group within a finite number of iterations in the absence of round-off errors. Numerical examples are also presented to illustrate the efficiency of the algorithm. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.camwa.2017.08.018 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Generalized coupled Sylvester-conjugate transpose matrix equations,Generalized conjugate direction method,Generalized Hamiltonian solution,Least Frobenius norm solution,Numerical experiments | Mathematical optimization,Generalized forces,Matrix (mathematics),Mathematical analysis,Skew-Hermitian matrix,Unitary matrix,Matrix norm,Hamiltonian matrix,Hermitian matrix,Mathematics,Conjugate transpose | Journal |
Volume | Issue | ISSN |
74 | 12 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jia Tang | 1 | 9 | 2.76 |
| Changfeng Ma | 2 | 100 | 16.25 |