计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (15): 28-31.

• 理论研究、研发设计 • 上一篇    下一篇

求解非线性方程的蛛网-迭代算法

孟肖丽,刘保相   

  1. 河北联合大学 理学院,河北 唐山 063009
  • 出版日期:2015-08-01 发布日期:2015-08-14

Cobweb-iterative algorithm for solving nonlinear equations

MENG Xiaoli, LIU Baoxiang   

  1. College of Science, Hebei United University, Tangshan, Hebei 063009, China
  • Online:2015-08-01 Published:2015-08-14

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

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