论文标题

另一个证据表明多项式的根部不断取决于系数

Yet another proof that the roots of a polynomial depend continuously on the coefficients

论文作者

Ross, David A.

论文摘要

复杂多项式的根部连续取决于系数。也就是说,系数的无限扰动导致根部无限扰动。使用InfitItimals可以简单明了证明这一点。

The roots of a complex polynomial depend continuously on the coefficients; that is, an infinitesimal perturbation of the coefficients results in an infinitesimal perturbation of the roots. A short, straightforward proof of this is possible using infinitesimals.

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