Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624874 | Advances in Applied Mathematics | 2012 | 8 Pages |
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