A note on optimization with Morse polynomials
Algebraic Geometry
2019-02-19 v2
Abstract
In this paper we prove that the gradient ideal of a Morse polynomial is radical. This gives a generic class of polynomials whose gradient ideals are radical. As a consequence we reclaim a previous result that the unconstrained polynomial optimization problem for Morse polynomials has a finite convergence.
Cite
@article{arxiv.1703.00755,
title = {A note on optimization with Morse polynomials},
author = {Công-Trình Lê},
journal= {arXiv preprint arXiv:1703.00755},
year = {2019}
}
Comments
6 pages, title changed, one reference added, some proofs written in more details, acknowledgement added, to be published in Comm. Korean Math. Soc. (2018)