On Euler-extrapolated Hermitian/skew-Hermitian splitting method for complex symmetric linear systems

In this paper, we propose an Euler-extrapolated Hermitian/skew-Hermitian splitting (E-HS) iterative method for solving a class of complex symmetric linear systems. The convergence and optimal parameter of the E-HS method are presented. In addition, some spectral properties of the preconditioned matrix are also studied. Numerical experiments verify the effectiveness of the E-HS method either as a solver or a preconditioner.