The Tropical Rank of a Tropical Matrix
Commutative Algebra
2008-09-22 v2 Combinatorics
Abstract
In this paper we further develop the theory of matrices over the extended tropical semiring. Introducing a notion of tropical linear dependence allows for a natural definition of matrix rank in a sense that coincides with the notions of tropical regularity and invertibility.
Keywords
Cite
@article{arxiv.math/0604208,
title = {The Tropical Rank of a Tropical Matrix},
author = {Zur Izhakian},
journal= {arXiv preprint arXiv:math/0604208},
year = {2008}
}
Comments
9 pages