求解一类复对称线性系统的改进的SNS和SSS迭代法

本文在Bai的基础上提出改进的斜正规分裂(MSNS)和斜尺度化分裂(MSSS)迭代法,用以求解一类应用广泛的复对称线性系统,并证实MSNS和MSSS迭代法是无条件收敛的.通过利用一些Krylov子空间方法,本文给出相对应的非精确版本的MSNS(MSSS)方法.数值实验说明了所给方法的有效性.

Modified SNS and SSS iteration methods for a class of complex symmetric linear systems

In this paper,based on the previous work by Bai,the modified skew-normal splitting（MSNS）and skew-scaling splitting（MSSS）iteration methods are presented to solve a broad class of complex symmetric linear systems.It is shown that the MSNS and MSSS iteration methods are unconditionally convergent.The corresponding inexact MSNS（MSSS）method is developed by employing some Krylov subspace methods.Numerical experiments are reported to illustrate the efficiency of the proposed methods.