Article ID Journal Published Year Pages File Type
4624874 Advances in Applied Mathematics 2012 8 Pages PDF
Abstract

Since a tropical Nullstellensatz fails even for tropical univariate polynomials we study a conjecture on a tropical dual Nullstellensatz for tropical polynomial systems in terms of solvability of a tropical linear system with the Cayley matrix associated to the tropical polynomial system. The conjecture on a tropical effective dual Nullstellensatz is proved for tropical univariate polynomials.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics