The generalized double steps scale-SOR iteration method for solving complex symmetric linear systems

By utilizing the successive-overrelaxation (SOR) acceleration technique for the generalized version of the double-step scale (DSS) iteration method, we construct the generalized DSS-SOR (GDSSOR) iteration method for solving a class of complex symmetric linear systems. The convergence theory of the GDSSOR iteration method is established and its optimal parameters are investigated. Meanwhile, a practical way to choose iteration parameters for the GDSSOR iteration method is developed. Inexact version of the GDSSOR iteration (IGDSSOR) method and its convergence properties are also presented. Numerical experiments illustrate that both GDSSOR and IGDSSOR iteration methods are feasible and effective for solving the complex symmetric linear systems, and perform better than some other commonly used iteration methods.