A note on optimization with Morse polynomials
arXiv:1703.00755
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.
6 pages, title changed, one reference added, some proofs written in more details, acknowledgement added, to be published in Comm. Korean Math. Soc. (2018)