%0 Journal Article %A Yongxin Yuan and Jiashang Jiang %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 55, 2011 %T Iterative solutions to the linear matrix equation AXB + CXTD = E %U https://publications.waset.org/pdf/12577 %V 55 %X 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. %P 1046 - 1049