一元高次方程数值解法C程序实现探? 一元高次方程作为方程的一部分，对我们后续的学习起着相当重要的作用求解一元高次方程的根在计算数学方面既是难点也是重点。一元三次方程和一元四次方称有一般解法，但是比较复杂，且超过了一般的知识范围5次以及5次以上的代数方程，没有一般的公式解法。文我们了解了系数在有理数域且只有有理根的一元高次方程的解法技巧一元二次方程根式解的推敲了一元三次、四次方程的根式解；最后介绍了两种解高次方程数值解通用的两种方法：二分法、牛顿法。要求我们在了解一元二次方程的同时掌握一元三次及四次方程的根式解意义，理解用二分法及牛顿法解一元高次方程数值解法的思想及意义Polynomial equations C program discuss

Abstract

Polynomial equations as part of the equation, for our subsequent learning plays a very important role. Solving a polynomial equation root in computational mathematics is a difficult and key point.

On polynomial equations, we in the stage of middle school, have mastered the two once basic quadratic equation formula solution; three once basic quadratic equation and a four power said that general solutions, but are more complex, and more than the general scope of knowledge; the 5and more than 5algebraic equation, no general formula solution,

In this paper we understand the coefficients in the field of rational numbers and only the rational root of polynomial equations based on techniques, Through the memories we learned two once basic quadratic equation root solution method, the study of one dollar three times, four times radical solution; finally introduced two kinds of solution of equation of higher degree numerical solution of general by two methods: the dichotomy, the Newton-Raphson method. We know two once basic quadratic equation while master of one dollar three times and four times the radical solution of equation of meaning, understand the use of dichotomy and Newtons method for solving polynomial equations numerical solution of the thought and meaning

Key words: Equation of higher degree, Dichotomy,

Newton method, Iterative

目录

摘要

绪论

选题分析

2.1选题的研究现状

2.2选题的意义

2.3论文的主要内容

3 解方程

3.1 一元三次方程的根式解法

3.3 二分法解一元高次方程

3.4 牛顿法解一元高次方程

参考文献

致谢

1.绪论

整式方程未知数次数最高项次数高于2次的方程，称为高次方程。高次方程解法思想是通过适当的方法，把高次方程化为次数较低的方程求解。对于5次及以上的一元高次方程没有通用的代数解法和求根公式(即通过各项系数经过有限次四则运算和乘方和开方运算无法求解)，这称为阿贝尔定理。 换句话说，只有三次和四次的高次方程可用根式求解。人类很早就掌握了