Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods

We present an algorithm that computes the singular points of projective plane algebraic curves and determines their multiplicities and characters. The feasibility of the algorithm is analyzed. We prove that the algorithm has the polynomial time complexity on the degree of the algebraic curve. The al...

Full description

Bibliographic Details
Main Authors: Zhongxuan Luo, Erbao Feng, Jielin Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/230847