二级多重分裂迭代法

Two-stage multi-splittings iterative methods

本文给出一种全新的二级多重分裂迭代方法求解线性方程组 这一方法是基于二级迭代法与多重分裂迭代法的基础之上 ,方法函盖了近年来讨论的多种平行化迭代求解线性方程组的方法 。

We present a new two stage multi splittings iterative methods for solving the system of linear equations in this paper,which is based on the two stage iterative method and the multi splitting iterative one.The new method generalizes the various parallel iterative methods for solving the system of linear equations which are discussed in recent years.The convergence of this method is also analysed when the matrix is monotone.