@article{(Open Science Index):https://publications.waset.org/pdf/8105, title = {Iterative Solutions to Some Linear Matrix Equations}, author = {Jiashang Jiang and Hao Liu and Yongxin Yuan}, country = {}, institution = {}, abstract = {In this paper the gradient based iterative algorithms are presented to solve the following four types linear matrix equations: (a) AXB = F; (b) AXB = F, CXD = G; (c) AXB = F s. t. X = XT ; (d) AXB+CYD = F, where X and Y are unknown matrices, A,B,C,D, F,G are the given constant matrices. It is proved that if the equation considered has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. The numerical results show that the proposed method is reliable and attractive. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {4}, year = {2011}, pages = {607 - 612}, ee = {https://publications.waset.org/pdf/8105}, url = {https://publications.waset.org/vol/52}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 52, 2011}, }