Multivariate Gauss-Lucas Theorems
Complex Variables
2012-03-30 v1
Abstract
A multivariate Gauss-Lucas theorem is proved, sharpening and generalizing previous results on this topic. The theorem is stated in terms of a seemingly new notion of convexity. Applications to multivariate stable polynomials are given.
Cite
@article{arxiv.1203.6426,
title = {Multivariate Gauss-Lucas Theorems},
author = {Marek Kanter},
journal= {arXiv preprint arXiv:1203.6426},
year = {2012}
}