PHClab: A MATLAB/Octave Interface to PHCpack

  • Yun Guan
  • Jan Verschelde
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 148)


PHCpack is a software package for Polynomial Homotopy Continuation, to numerically solve systems of polynomial equations. The executable program “phc” produced by PHCpack has several options (the most popular one “-b” offers a blackbox solver) and is menu driven. PHClab is a collection of scripts which call phc from within a MATLAB or Octave session. It provides an interface to the blackbox solver for finding isolated solutions. We executed the PHClab functions on our cluster computer using the MPI ToolBox (MPITB) for Octave to solve a list of polynomial systems. PHClab also interfaces to the numerical irreducible decomposition, giving access to the tools to represent, factor, and intersect positive dimensional solution sets.


Irreducible Component Embed System Polynomial System Mixed Volume Irreducible Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Science + Business Media, LLC 2008

Authors and Affiliations

  • Yun Guan
    • 1
  • Jan Verschelde
    • 1
  1. 1.Department of Mathematics, Statistics, and Computer ScienceUniversity of Illinois at ChicagoChicagoUSA

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