多项式的根连续依赖于系数的又一证明
经典分析与常微分方程
2022-07-08 v2 环与代数
摘要
复多项式的根连续依赖于系数；即系数的无穷小扰动会导致根的无穷小扰动。利用无穷小量可以给出一个简短而直接的证明。
引用
@article{arxiv.2207.00123,
title = {Yet another proof that the roots of a polynomial depend continuously on the coefficients},
author = {David A. Ross},
journal= {arXiv preprint arXiv:2207.00123},
year = {2022}
}
备注
6 pages. Clarifies some statements in an earlier version