@article{(Open Science Index):https://publications.waset.org/pdf/8404, title = {Note to the Global GMRES for Solving the Matrix Equation AXB = F}, author = {Fatemeh Panjeh Ali Beik}, country = {}, institution = {}, abstract = {In the present work, we propose a new projection method for solving the matrix equation AXB = F. For implementing our new method, generalized forms of block Krylov subspace and global Arnoldi process are presented. The new method can be considered as an extended form of the well-known global generalized minimum residual (Gl-GMRES) method for solving multiple linear systems and it will be called as the extended Gl-GMRES (EGl- GMRES). Some new theoretical results have been established for proposed method by employing Schur complement. Finally, some numerical results are given to illustrate the efficiency of our new method. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {8}, year = {2011}, pages = {1165 - 1169}, ee = {https://publications.waset.org/pdf/8404}, url = {https://publications.waset.org/vol/56}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 56, 2011}, }