PSOR方法的比较性定理

Some Comparison Theorems for the PSOR Iterative Method

给出了一种PSOR方法,在理论上证明了PSOR方法的渐近收敛速度快于基本的AOR迭代法.同时,给出了在条件0<ω≤1下,PSOR方法中参数ω的最优值.最后用数值例子验证了所得的主要结论.

In this paper, a PSOR method is offered, and we have proved theoretically that the convergence rate of this PSOR method is faster than that of basic AOR iterative method. Also, under the condition of 0 〈 ω〈 1, we give the optimal parameter of ω. Finally, the main results obtained are illustrated by a numerical example.