一元n次方程根的一种数值求解方法

The algorithm for determining all roots of general polynomials

本文利用一元n次方程根与系数间的关系建立了方程根所满足的非线性方程组，结合牛顿法，给出求解一元n次方程所有根的一种数值方法。

The non-linear equations satisfied by all roots of general polynomial are determined using the relations between the roots of the polynomial and the coefficients of it. And the algorithm for finding all the roots of general polynomial is obtained by Newton method in this paper.