### Abstract

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 decomposition captures the topological information and can be used for further computation and refinement.

Original language | English (US) |
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Title of host publication | Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings |

Publisher | Springer Verlag |

Pages | 175-182 |

Number of pages | 8 |

ISBN (Print) | 9783662441985 |

DOIs | |

State | Published - Jan 1 2014 |

Event | 4th International Congress on Mathematical Software, ICMS 2014 - Seoul, Korea, Republic of Duration: Aug 5 2014 → Aug 9 2014 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 8592 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 4th International Congress on Mathematical Software, ICMS 2014 |
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Country | Korea, Republic of |

City | Seoul |

Period | 8/5/14 → 8/9/14 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings*(pp. 175-182). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8592 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-662-44199-2_29