文档介绍：东莞理工学院
本科毕业论文
(2015届)
题目: 多项式方程的判别式与求根公式
学生姓名:
学号: 201141410230
院(系): 计算机学院
专业班级: 信息与计算科学(2)班
指导教师:
起止时间: 2015年1月—2015年5月
多项式方程的判别式与求根公式
摘要: 近代数学史甚至能说是一部求解多项式方程的历史。对于高次方程的数值根求解法,人们从很早就开始并一直探求这样的问题。而且在古代,很多人都想出了一个办法来解决各种各样的多项式方程。如卡尔米诺的《大术》,贾宪的《黄帝九章算法细草》,秦九韶的《数书九章》等等。
  在目前,有关问题求解多项式方程根的在工程实践中占有举足轻重的地位。如在人类的生活过程中,经济建设和科学技术的发展过程中,计算一直起着非常重要的作用。当人们在进行科学或者工程计算时,求解多项式方程组更是非常容易遇到的问题之一。许多领域如自然生活和工程科学最终都可以归结为求解多项式方程组的问题。这个时候人们就通常需要处理求解代数方程组的问题,如果当项较简单或变元较少时,计算过程就好相对来说简单一些;但是当项非常复杂或变元非常多的时候,那么其求解的过程中往往会遇到比较多的困难。
对多项式方程的判别式和求根公式的研究,在理论研究和实际工程计算中,具有十分重要的意义。
关键词: 多项式; 判别式; 求根公式; MATLAB
Discriminant and seek the root of polynomial equations
Abstract: the modern mathematics that would e a history of polynomial equation solution. People long ago began to explore the problem of high order equation of numerical method. But in ancient times, many people have been developed to solve all kinds of method of polynomial equations. Such as "chapter nine of the yellow emperor algorithm fine grass" of jia xian, chiu-shao the number of book chapter nine, Carl mino "big operation" and so on.
In nowadays, polynomial equation for the root problem has a pivotal position in the engineering practice. As in human life, economic construction and development of science and technology in the process of calculation is always plays a very important role. In science and engineering calculation, to solve the polynomial equations is one of the mon problems in the natural life and puting problem in the field of engineering science and many other eventually all boils down to solving the polynomial equations. At this time often need to deal with algebraic equations to solve the problem, if the argument or a simpler, less calculation process is relatively simple; And when the argument is very more or when the item is plex, its solving process is often more difficult.
The discriminant and seek the root of polynomial equations, in theoretical research and practical engineering calculation, have