@article{(Open Science Index):https://publications.waset.org/pdf/12577, title = {Iterative solutions to the linear matrix equation AXB + CXTD = E}, author = {Yongxin Yuan and Jiashang Jiang}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {7}, year = {2011}, pages = {1046 - 1049}, ee = {https://publications.waset.org/pdf/12577}, url = {https://publications.waset.org/vol/55}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 55, 2011}, }