In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a multivariate polynomial of degree four (or higher ev...
Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Par...
We propose a general framework for obtaining bounds on absolute positiveness of multivariate polynomials. We show that a known bound by Hong is a nearly optimal bound within this ...
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...