非线性方程数值解法的探讨与MATLAB实现

非线性方程数值解法的探讨与 MATLAB 实现摘 要非线性方程在实际问题中常常出现，如科学与工程计算，因此讨论和探讨非线性方程求解的方法具有重要的实际意义. 本文首先介绍了非线性方程的概念及相关背景；其次描述了非线性方程常用的一些数值方法：二分法，牛顿迭代法，割线法；然后针对各种方法编写 MATLAB 程序，并对非线性方程的实例进行数值计算，比较各种算法的优劣；最后介绍了割线法在实际生活中的应用.关键词：非线性方程，二分法，牛顿迭代法，割线法Discussion and MATLAB Realization of Nonlinear Numerical Solution Author: Feng Wenghao Tutor: Zhang RongyanAbstractIn practical problems, nonlinear equations often appear, such as scientific and engineering computing. Therefore, to study and explore methods of nonlinear equations has important practical significance.In this paper, we describe the concept and background of nonlinear equations first; second, it describes the commonly used numerical methods of nonlinear equations: Dichotomy, Newton iteration method, Secant method. Then we use MATLAB to write computer program aimed at these methods ， do numerical calculations in some practical problems of nonlinear equations and make comparison of various methods. Finally ， the application of secant method in real life.Keywords: Nonlinear equation, Dichotomy, Newton iteration method, Secant method（空一行、小五号、1 倍行距）目 录（空一行、三号、1.5 倍行距）1 绪论.........................................................................................................................................11.1 数值方法背景简介.......................................................................................................11.2 非线性方程简介...........................................................................................................21.2.1 非线性方程的背景.............................................................................................21.2.2 非线性方...