摘要
Newton方法及其推广方法一直是求解方程与方程组方便实用的工具,并成为构造混沌分形图的有利工具,为国内外混沌分形研究者所研究。本文综合、推广了Newton方法,得到两类推广的求根算法,构造了其对应的混沌分形图,通过计算机数学实验的方法,对两类不同算法的特性进行了深入的分析。
Newton' s method and its generalized methods are efficient and convenient tools all along for finding the roots of functions or systems. They can be used to construct chaotic fractal images,and have been widely investigated and studied by the chaotic scholars in recent years.Two sorts of generalized roots finding methods,derived from Newton's method,are given in this paper where their chaotic fractal are homologically constructed, and the two algorithms are thoroughly analyzed by means of experimental computer mathematics.
出处
《计算机应用与软件》
CSCD
北大核心
2002年第1期10-13,共4页
Computer Applications and Software
基金
国家博士点学科专项科研基金(编号:2000014512)
辽宁省自然科学基金(编号:962177)
