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# 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} }

- Published 2003 in Computing
DOI:10.1007/s00607-003-0032-4

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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