关于H-矩阵的预条件AOR迭代法的收敛性探讨

摘要

利用矩阵迭代理论与比较定理，分析了线性方程组的系数矩阵为H-矩阵时，预条件后AOR迭代法的收敛性；并给出了当加速因子g不变时，松弛因子w的大小与收敛速度的关系；同时还给出了两个数值实例验证了主要的结论。%This paper firstly presents the convergence analysis of AOR-type iterative method for solving linear systems with H-matrices by using matrix iterative analysis and comparison theorems; then gets the relations between the size of relaxation factorwand the rate of convergence when the acceleration factorgis constant. Finally, the author verifies his conclusions through two numerical examples.