Yongxin Yuan and Jiashang Jiang Iterative solutions to the linear matrix equation AXB CXTD E
1046 - 1049
2011
5
7
International Journal of Mathematical and Computational Sciences http://waset.org/publications/12577
http://waset.org/publications/55
World Academy of Science, Engineering and Technology
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.
International Science Index 55, 2011