INVESTIGADORES
KATZ Ricardo David
artículos
Título:
The tropical analogue of polar cones
Autor/es:
STÉPHANE GAUBERT; RICARDO D. KATZ
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Año: 2008 vol. 431 p. 608 - 625
ISSN:
0024-3795
Resumen:
We study the max-plus or tropical analogue of the notion of polar: the polar of a cone represents the set of linear inequalities satisfied by its elements. We establish an analogue of the bipolar theorem, which characterizes all the inequalities satisfied by the elements of a tropical convex cone. We derive this characterization from a new separation theorem. We also establish variants of these results concerning systems of linear equalities.
