摘要
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.
Through analysing,we pointed one of the reasons of oscillation when solving nonlinear equation (or equation group) with Newton-Raphson method.Based on the analysis,a modified method was presented.The main ideas of the method are:(1)When not oscillating,using Newton-Raphson method to calculate in iteration;(2)When oscillating,searching in order to avoid the oscillating area.The results of calculation examples show that the modified method is more advantageous than original Newton-Raphson method.
出处
《计算机与应用化学》
CAS
CSCD
1992年第3期220-225,共6页
Computers and Applied Chemistry
关键词
非线性方程
N-R法
改进N-R法
Newton-Raphson method
Modified Newton-Raphson method
Nonlinear equation(group)
