论文标题
牛顿 - 普塞克斯算法和飞机曲线的三点
Newton-Puiseux algorithm and triple points for planes curves
论文作者
论文摘要
该论文是对经典牛顿 - 普伊塞克斯程序使用的介绍，该过程涉及其算法描述。此过程使得获得多项式近似值，以用于在单数点处的代数平面曲线的分支参数化。我们寻找一种可以轻松掌握且几乎自我包含的方法。我们说明了该算法的使用，首先是在具有多个点6的曲线的完全循环的示例中，其次是在还原平面曲线上三重点的研究中。
The paper is an introduction to the use of the classical Newton-Puiseux procedure, oriented to an algorithmic description of it. This procedure enables to get polynomial approximations for parameterizations of branches of an algebraic plane curve at a singular point. We look for an approach that can be easily grasped and almost self contained. We illustrate the use of the algorithm, first in a completely worked out example of a curve with a point of multiplicity 6, and secondly in the study of triple points on reduced plane curves.
