A splitting iterative method for the discrete dynamic linear systems

作者：Wu Shi Liang^*; Li Cui Xia

来源：Journal of Computational and Applied Mathematics, 2014, 267: 49-60.

DOI：10.1016/j.cam.2014.01.039

• Non-Hermitian matrix
• Complex symmetric matrix
• Skew-Hermitian matrix
• Matrix splitting
• Complex symmetric linear system

This paper is concerned with a splitting iterative method for a class of complex symmetric linear systems from an n-degree-of-freedom (n-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.

• 出版日期2014-9
• 单位安阳师范学院