%0 Journal Article %A Fatemeh Panjeh Ali Beik %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 50, 2011 %T Extending Global Full Orthogonalization method for Solving the Matrix Equation AXB=F %U https://publications.waset.org/pdf/11185 %V 50 %X In the present work, we propose a new method for solving the matrix equation AXB=F . The new method can be considered as a generalized form of the well-known global full orthogonalization method (Gl-FOM) for solving multiple linear systems. Hence, the method will be called extended Gl-FOM (EGl- FOM). For implementing EGl-FOM, generalized forms of block Krylov subspace and global Arnoldi process are presented. Finally, some numerical experiments are given to illustrate the efficiency of our new method. %P 166 - 169