A splitting iterative method for the discrete dynamic linear systems

This paper is concerned with a splitting iterative method for a class of complex symmetric linear systems from an nn-degree-of-freedom (nn-DOF) discrete system. This splitting iterative method is established by the complex-symmetric and skew-Hermitian splitting of the coefficient matrix and is called the CSS method, which is from the classical state-space formulation of frequency analysis of the discrete dynamic linear systems. The convergence properties of the CSS method are obtained. The corresponding CSS preconditioner is proposed and some useful properties of the preconditioned matrix are established. The presented numerical examples are to illustrate the efficiency of both the CSS method and the CSS preconditioner.