求解非厄尔米特正定线性系统的SSI-SS迭代方法

SSI-SS Iterative Method for Solving Non-Hermitian Positive Definite Linear System

基于耦合的思想,提出一个新的SSI-SS迭代法来求解非厄尔米特正定线性系统.从理论上证明了该方法的收敛性,并给出了其最优参数的选取.与SHSS-SS方法相比,该方法的迭代矩阵的谱半径上界更小.最后通过数值结果验证了该方法的数值有效性.

Based on the idea of coupling,this paper proposed a new SSI-SS iterative method to solve non-Hermitian positive definite linear systems.This paper theoretically proved the convergence of this method and gave the selection of its optimal parameters.Compared with the SHSS-SS method,this method has a smaller upper bound of the spectral radius of the iterative matrix.Finally,the numerical results verified the numerical effectiveness of the method.