Computing singular points of projective plane algebraic curves by homotopy continuation methods
DOI10.1155/2014/230847zbMath1422.65044OpenAlexW2107224764WikidataQ59038739 ScholiaQ59038739MaRDI QIDQ2320699
Erbao Feng, Zhong-xuan Luo, Jie-Lin Zhang
Publication date: 23 August 2019
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/230847
Numerical computation of solutions to systems of equations (65H10) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20) Computer-aided design (modeling of curves and surfaces) (65D17)
Uses Software
Cites Work
- Singular points of algebraic curves
- On the numerical condition of algebraic curves and surfaces. I: Implicit equations
- Rational algebraic curves. A computer algebra approach
- HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
- Complexity of Bezout's theorem. VI: Geodesics in the condition (number) metric
- Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves
- Tracing surface intersections
- Coefficient-parameter polynomial continuation
- Symbolic parametrization of curves
- Complexity of Bezout's theorem. V: Polynomial time
- Solving genus zero Diophantine equations with at most two infinite valuations
- Relationships between order and efficiency of a class of methods for multiple zeros of polynomials
- Implicitization of parametric curves via Lagrange interpolation
- Implicit representation of parametric curves and surfaces
- Solving a Polynomial Equation: Some History and Recent Progress
- Computing multiple roots of inexact polynomials
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