Extending Global Full Orthogonalization method for Solving the Matrix Equation AXB=F

Main Author: Fatemeh Panjeh Ali Beik
Format: Article Journal
Bahasa: eng
Terbitan: , 2011
Subjects:
Online Access: https://zenodo.org/record/1076820
Daftar Isi:
  • 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.