Real solutions to systems of polynomial equations in Macaulay2
Algebraic Geometry
2024-06-05 v1
Abstract
The Macaulay2 package RealRoots provides symbolic methods to study real solutions to systems of polynomial equations. It updates and expands an earlier package developed by Grayson and Sottile in 1999. We provide mathematical background and descriptions of the RealRoots package, giving examples which illustrate some of its implemented methods. We also prove a general version of Sylvester's Theorem whose statement and proof we could not find in the literature.
Keywords
Cite
@article{arxiv.2208.05576,
title = {Real solutions to systems of polynomial equations in Macaulay2},
author = {Jordy Lopez Garcia and Kelly Maluccio and Frank Sottile and Thomas Yahl},
journal= {arXiv preprint arXiv:2208.05576},
year = {2024}
}
Comments
9 pages, 2 figures