English

Linear programs and convex hulls over fields of Puiseux fractions

Optimization and Control 2018-07-02 v2 Combinatorics

Abstract

We describe the implementation of a subfield of the field of formal Puiseux series in polymake. This is employed for solving linear programs and computing convex hulls depending on a real parameter. Moreover, this approach is also useful for computations in tropical geometry.

Keywords

Cite

@article{arxiv.1507.08092,
  title  = {Linear programs and convex hulls over fields of Puiseux fractions},
  author = {Michael Joswig and Georg Loho and Benjamin Lorenz and Benjamin Schröter},
  journal= {arXiv preprint arXiv:1507.08092},
  year   = {2018}
}

Comments

14 pages, 2 figures