| 如何求一元方程的根 |
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| 引用本文： | 杜先云,任秋道.如何求一元方程的根[J].绵阳师范高等专科学校学报,2013(11):1-5. |
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| 作者姓名： | 杜先云 任秋道 |
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| 作者单位： | [1]成都信息工程学院数学学院,四川成都610225 [2]绵阳师范学院数学与计算机科学学院,四川绵阳621000 |
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| 摘 要： | 该文归纳总结了求方程的根的多种方法．首先给出实数域上连续函数的零点存在定理，求零点数值解常用的方法：二分法、迭代法与切线法．也给出复数域上解析函数的零点存在的个数，通过转化为实数域上二元方程组来求复数域上方程的根．
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| 关 键 词： | 方程 根 数值解 函数 |
How to Find Roots to Equation with An Unknown Quantity |
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| Institution: | DU Xian - yun , PEN Qiu - dao2 ( 1. College of Mathematics, Chengdu 2. College of Mathematics ＆ Information University of Information Technology, Science, Mianyang Normal University Chengdu, Sichuan , Mianyang, Sichuan 610225; 621016) |
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| Abstract: | Seeking roots ble, mathematical analysis, to equation with one higher unknown quantity algebra and numerical analysis. relates to subjects ： function of complex varia- This article summarizes seeking roots to the e- quation in several ways. Firstly it gives a zero - point theorem of the continuous function on the real number field and common methods for numerical solution： dichotomy, iteration method and tangent method. Also it gives the number of zeros of analytic functions on the complex field, roots to the equation on a complex field with a set of bi- nary equations on the real number field. |
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| Keywords: | Equation Root Numerical solution Function |
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