A Generalized Preconditioned MPHSS Method for a Class of Complex Symmetric Linear System

Abstract

Abstract-In this paper, with the MHSS and preconditioned MHSS methods, we get a generalized preconditioned MHSS method with a kind of complex symmetric linear systems. This method is a two-parameter iteration process, which can optimize the iterative process. The sequence of iterative produced by the generalized preconditioned MHSS method is proved to be convergence to the unique solution of the complex symmetric linear system.