TY - JFULL AU - Fatemeh Panjeh Ali Beik PY - 2011/3/ TI - Extending Global Full Orthogonalization method for Solving the Matrix Equation AXB=F T2 - International Journal of Mathematical and Computational Sciences SP - 165 EP - 169 VL - 5 SN - 1307-6892 UR - https://publications.waset.org/pdf/11185 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 50, 2011 N2 - 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. ER -