Software for Exact Integration of Polynomials over Polyhedra
Metric Geometry
2013-12-30 v3
Abstract
We are interested in the fast computation of the exact value of integrals of polynomial functions over convex polyhedra. We present speed ups and extensions of the algorithms presented in previous work. We present the new software implementation and provide benchmark computations. The computation of integrals of polynomials over polyhedral regions has many applications; here we demonstrate our algorithmic tools solving a challenge from combinatorial voting theory.
Cite
@article{arxiv.1108.0117,
title = {Software for Exact Integration of Polynomials over Polyhedra},
author = {Jesus De Loera and Brandon Dutra and Matthias Koeppe and Stanislav Moreinis and Gregory Pinto and Jianqiu Wu},
journal= {arXiv preprint arXiv:1108.0117},
year = {2013}
}
Comments
Major update