Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets

@inproceedings{Brake2014Bertini_realSF,
  title={Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets},
  author={Daniel A. Brake and Daniel J. Bates and Wenrui Hao and Jonathan D. Hauenstein and Andrew J. Sommese and Charles W. Wampler},
  booktitle={ICMS},
  year={2014}
}
Bertini_real is a command line program for numerically decomposing the real portion of a one- or two-dimensional complex irreducible algebraic set in any reasonable number of variables. Using numerical homotopy continuation to solve a series of polynomial systems via regeneration from a witness set, a set of real vertices is computed, along with connection information and associated homotopy functions. The challenge of embedded singular curves is overcome using isosingular deflation. This… CONTINUE READING
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