PHCpack: A Software Platform for Numerical Algebraic Geometry
Presenter
October 24, 2006
Keywords:
- Solving polynomial systems
MSC:
- 13P15
Abstract
PHCpack is a software package for Polynomial Homotopy Continuation to numerically solve polynomial systems. In the past five years, the package has been extended with tools to compute a numerical irreducible decomposition. Other features include deflation for isolated singularities and an equation-by-equation solver.
Most recently, PHCpack has been extended with a translation of the program MixedVol (by Tangan Gao, Tien-Yien Li, Mengnien Wu) to compute mixed volumes and define polyhedral homotopies more efficiently.