Iterative solutions to the linear matrix equation AXB + CXTD = E
| Main Authors: | Yongxin Yuan, Jiashang Jiang |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2011
|
| Subjects: | |
| Online Access: |
https://zenodo.org/record/1079458 |
Daftar Isi:
- In this paper the gradient based iterative algorithm is presented to solve the linear matrix equation AXB +CXTD = E, where X is unknown matrix, A,B,C,D,E are the given constant matrices. It is proved that if the equation has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. Two numerical examples show that the introduced iterative algorithm is quite efficient.