Systems of Polynomials with At Least One Positive Real Zero
Algebraic Geometry
2021-04-06 v4
Abstract
In this paper, we prove several theorems on systems of polynomials with at least one positive real zero based on the theory of conceive polynomials. These theorems provide sufficient conditions for systems of multivariate polynomials admitting at least one positive real zero in terms of their Newton polytopes and combinatorial structure. Moreover, a class of polynomials attaining their global minimums in the first quadrant are given, which is useful in polynomial optimization.
Cite
@article{arxiv.1809.10825,
title = {Systems of Polynomials with At Least One Positive Real Zero},
author = {Jie Wang},
journal= {arXiv preprint arXiv:1809.10825},
year = {2021}
}
Comments
11 pages