工程中一种新型的代数方程重根数值计算法

A New Kind of Numerical Method of Algebraic Equation Multiple Roots in Engieering

本文对通常代数方程的数值计算方法特点进行了简介并给以分析 ,指出了这些解法无法得出重根数的缺陷 ,提出了一种新的解决方法———多次求导数值计算法 ,使得数值计算法更加清晰、明了 ,且可得出重根数。该法弥补了代数方程通常解法的不足 ,为代数方程数值解法提供了新的选择方案 ,扩大了其应用范围。本文使用应用广泛的数学软件 。

This paper brief introduce numerical method of algebraic equation,points out their shortcoming of missing multiple root and put forward one new kind of method--multiple derivation numerical method.It makes numerical method more clear and can gain number of multiple root.This method compensate traditional numerical method of algebraic equation and offer a new kind of numerical method of algebraic equation,enlarge its range of application.This paper uses software of large range of application,so it has better practicability.