Sakineh Sohrabi - Department of Applied Mathematics, Shahid Bahonar university of Kerman,Kerman, Iran
Azita Tajaddini - Department of Applied Mathematics, Faculty of Mathematics & Computer Sciences, Shahid Bahonar university of Kerman, Kerman, Iran
Mohammad Ali Hajabasi - Department of Mechanical Engineering, Shahid Bahonar university of Kerman, Kerman, Iran

In this paper, the global restarted GMRES method with right preconditioning and flexible preconditioning for solving Sylvester matrix equation are introduced. It is observed that the global restarted GMRES method with flexible preconditioning is more efficient and robust than the other methods. At the end of paper, the numerical example shows this efficiency.

Right Preconditioning; Flexible GMRES; Sylvester equation