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本文通过分析指出了一元及多元Newton-Raphson法振荡的一种原因.并提出了一种避免振荡的方法.该方法的主要思想是:(1)不出现振荡时按原始Newton-Raphson法迭代计算;(2)出现振荡时进行搜索以避开振荡区.计算实例表明:本文方法优于原始的Newton-Raphson法.
In this paper, we analyze the causes of the uni-and multiple Newton-Raphson oscillation and propose a method to avoid oscillation. The main idea of this method is as follows: (1) Calculate iteratively according to the original Newton-Raphson method ; (2) When the oscillation occurs, the search is made to avoid the oscillation region. The calculation example shows that the proposed method is superior to the original Newton-Raphson method.