求解代数方程的迭代法及其在计算机上的实施

The iterative method of solving algebraic equationand implementation on the computer

基于Bernoulli求根迭代法,讨论了一元实系数的代数方程的求根问题。提出了一种在计算机上的有效的迭代格式。根据这一理论设计出C语言程序,并且用C++Builder和Delphi作界面调用这一程序,设计出求解代数方程的计算器。数值算例表明,该算法不仅有较高的精度,而且收敛速度快。

Based on Bernoulli iterative rooting method, an efficient scheme of iterative algorithm on computer is presented in this paper for all roots of real coefficient's polynomial equation. According to this theory, a calculator of extracting the roots of the algebraic equation is made by using C program, (C++) Builder and Delphi. Numerical example shown that this algorithm has not only higher precision, but also a high speed of convergence.