PHoM – a Polyhedral Homotopy Continuation Method for Polynomial Systems

@article{Gunji2003PHoMA,
  title={PHoM – a Polyhedral Homotopy Continuation Method for Polynomial Systems},
  author={Takayuki Gunji and Sunyoung Kim and Masakazu Kojima and Akiko Takeda and Katsuki Fujisawa and Tomohiko Mizutani},
  journal={Computing},
  year={2003},
  volume={73},
  pages={57-77}
}
PHoM is a software package in C++ for finding all isolated solutions of polynomial systems using a polyhedral homotopy continuation method. Among three modules constituting the package, the first module StartSystem constructs a family of polyhedral-linear homotopy functions, based on the polyhedral homotopy theory, from input data for a given system of polynomial equations f(x)=0. The second module CMPSc traces the solution curves of the homotopy equations to compute all isolated solutions of f… CONTINUE READING
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