预条件AOR迭代法及比较性定理

摘要

在预条件矩阵P=(I+B)下提出新的AOR迭代法,讨论了新方法的收敛性,并给出预条件AOR遮代法与经典AOR迭代法之间的比较定理.最后给出一个数值例子验证该预条件要优于通常的预条件(I+S).%Under the preconditioned matrix P＝(I+B), a new AOR iterative method is discussed, presenting the convergence quality of the method. This paper also gives the comparison theorems between the proposed AOR iterative method and the classic AOR iterative method. Then a numerical example is given, which explain the precondition iterative method is better than (I+S).