Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation

@article{Verschelde1999Algorithm7P,
  title={Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation},
  author={Jan Verschelde},
  journal={ACM Trans. Math. Softw.},
  year={1999},
  volume={25},
  pages={251-276}
}
Polynomial systems occur in a wide variety of application domains. Homotopy continuation methods are reliable and powerful methods to compute numerically approximations to all isolated complex solutions. During the last decade considerable progress has been accomplished on exploiting structure in a polynomial system, in particular its sparsity. In this article the structure and design of the software package PHC is described. The main program operates in several modes, is menu driven, and is… CONTINUE READING
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