Abstract In this project, generalized SOR iterative method is used to solve a class of complex symmetric linear system of equations as well as the investigation of its convergence analysis and determination of its optimal iteration parameter. Finally, some numerical results ensure that the validation of the theoretical results and compare the effectiveness of the GSOR iterative method with HSS and MHSS iterative method. This project has two chapters. In the first chapter, the introduction and preliminary concepts are explained. Whereas in the second chapter, HSS and MHSS iterative methods be over viewed points, the effectiveness of GSOR iterative method and convergence analysis could be studied.