Modified HSS iteration methods for a class of complex symmetric linear systems
Modified HSS iteration methods for a class of complex symmetric linear systems
复制标题
DOI：
10.1007/s00607-010-0077-0
复制
发表时间：
2010-05
期刊：
影响因子：
3.7
通讯作者：
Zhong-Zhi Bai;M. Benzi;Fang Chen
中科院分区：
文献类型：
--
作者：
Zhong-Zhi Bai;M. Benzi;Fang Chen
本文介绍并分析了求解一类复杂对称线性系统的厄米和斜厄米分裂迭代法的一种改进。证明了改进的厄米分裂和偏厄米分裂（MHSS）迭代方法是无条件收敛的。该方法的每次迭代都需要求解两个具有实对称正定系数矩阵的线性系统。这两个系统可以不精确地求解。我们用Krylov子空间方法考虑了MHSS迭代的加速问题。通过几个模型问题的数值实验验证了该方法的有效性。
In this paper, we introduce and analyze a modification of the Hermitian and skew-Hermitian splitting iteration method for solving a broad class of complex symmetric linear systems. We show that themodified Hermitian and skew-Hermitian splitting(MHSS) iteration method is unconditionally convergent. Each iteration of this method requires the solution of two linear systems with real symmetric positive definite coefficient matrices. These two systems can be solved inexactly. We consider acceleration of the MHSS iteration by Krylov subspace methods. Numerical experiments on a few model problems are used to illustrate the performance of the new method.