PHCpack in Macaulay2
Elizabeth Grosse,
Sonja Petrovic and
Jan Verschelde
Abstract:
The Macaulay2 package PHCpack 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.