Fatemeh Panjeh Ali Beik
Note to the Global GMRES for Solving the Matrix Equation AXB F
1165 - 1169
2011
5
8
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/8404
https://publications.waset.org/vol/56
World Academy of Science, Engineering and Technology
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 wellknown global generalized minimum residual (GlGMRES) method for solving multiple linear systems and it will be called as the extended GlGMRES (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.
Open Science Index 56, 2011