PHoMpara – Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems

@article{Gunji2006PHoMparaP,
  title={PHoMpara – Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems},
  author={T. Gunji and S. Kim and K. Fujisawa and M. Kojima},
  journal={Computing},
  year={2006},
  volume={77},
  pages={387-411}
}
The polyhedral homotopy continuation method is known to be a successful method for finding all isolated solutions of a system of polynomial equations. PHoM, an implementation of the method in C++, finds all isolated solutions of a polynomial system by constructing a family of modified polyhedral homotopy functions, tracing the solution curves of the homotopy equations, and verifying the obtained solutions. A software package PHoMpara parallelizes PHoM to solve a polynomial system of large size… CONTINUE READING
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