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# 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} }

- Published 2006 in Computing
DOI:10.1007/s00607-006-0166-2

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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