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.
Software for Algebraic Geometry, Institute for Mathematics and its Applications, 23-27 October 2006.