English

PHCpack in Macaulay2

Algebraic Geometry 2012-10-11 v2 Mathematical Software Symbolic Computation Commutative Algebra

Abstract

The Macaulay2 package PHCpack.m2 provides an interface to PHCpack, a general-purpose polynomial system solver that uses homotopy continuation. The main method is a numerical blackbox solver which is implemented for all Laurent systems. The package also provides a fast mixed volume computation, the ability to filter solutions, homotopy path tracking, and a numerical irreducible decomposition method. As the size of many problems in applied algebraic geometry often surpasses the capabilities of symbolic software, this package will be of interest to those working on problems involving large polynomial systems.

Keywords

Cite

@article{arxiv.1105.4881,
  title  = {PHCpack in Macaulay2},
  author = {Elizabeth Gross and Sonja Petrović and Jan Verschelde},
  journal= {arXiv preprint arXiv:1105.4881},
  year   = {2012}
}

Comments

5 pages, exposition and examples improved

R2 v1 2026-06-21T18:12:08.107Z