Abstract: The main subject of the study is to describe the Successive Over Relaxation (SOR) method for solving the Sylvester equation AX-XB = C, derived by using two different separation models of boundary-value problems. As is demonstrated in several test problems, the proposed method seems to be very efficient and strongly competitive to Krylov-subspace techniques.
Seifedine Kadry and Zbigniew Woznicki , 2007. On Discussion of SOR Method for Solving Sylvester Equation. International Journal of Soft Computing, 2: 236-242.