%0 Journal Article %A Azita Tajaddini and Ramleh Shamsi %D 2016 %J International Journal of Electrical and Computer Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 117, 2016 %T The BGMRES Method for Generalized Sylvester Matrix Equation AXB − X = C and Preconditioning %U https://publications.waset.org/pdf/10007444 %V 117 %X In this paper, we present the block generalized minimal residual (BGMRES) method in order to solve the generalized Sylvester matrix equation. However, this method may not be converged in some problems. We construct a polynomial preconditioner based on BGMRES which shows why polynomial preconditioner is superior to some block solvers. Finally, numerical experiments report the effectiveness of this method. %P 467 - 474