Cobweb-iterative algorithm for solving nonlinear equations

Abstract

Abstract: Cobweb-iterative algorithm is used to solve nonlinear equations. This paper requires that inverse functions exist in the function field. The theorem can prove that fixed point iteration is a special circumstance of cobweb iterative algorithm. The effectiveness and practicality of this method are further testified by numerical experiments.

Key words: cobweb model, iterative, nonlinear equation

摘要： 用蛛网迭代算法求解非线性方程，只要求函数在定义域内存在反函数；由定理及其证明可知，不动点迭代是该迭代方法的特殊情况；通过数值实验进一步证明了该方法的有效性和实用性。

关键词: 蛛网模型, 迭代, 非线性方程

MENG Xiaoli, LIU Baoxiang. Cobweb-iterative algorithm for solving nonlinear equations[J]. Computer Engineering and Applications, 2015, 51(15): 28-31.

孟肖丽，刘保相. 求解非线性方程的蛛网-迭代算法[J]. 计算机工程与应用, 2015, 51(15): 28-31.

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Cobweb-iterative algorithm for solving nonlinear equations

求解非线性方程的蛛网-迭代算法

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