摘要
介绍并讨论了利用两个辅助函数z=g(x)、u(x)=f(x)eαx和差商来构造迭代法的几种方法。经过选择适当的辅助函数及差商,构造了以前几种常用的迭代方法,最后构造了一种新的迭代法即对数迭代法,此迭代法包含两个参数,具有很强的适应能力。
Some methods of constructing a new iterative method by means of two auxiliary functions, z = g (x) and u (x) = f (x) eax , and difference quotient are introduced and discussed. Through selecting and adopting proper auxiliary functions and difference quotient in constructing some preceding iterative methods, a new logarithm iterative method is deduced and constructed. This method contains two parameters and is very good in adoptability.
出处
《空军工程大学学报（自然科学版）》
CSCD
北大核心
2005年第1期87-90,共4页
Journal of Air Force Engineering University(Natural Science Edition)
关键词
非线性方程
迭代法
二阶收敛
差商
nonlinear equation
iterative method
quadratic convergence
difference quotient
