WASET
	%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