The Tropical Rank of a Tropical Matrix
Authors:
- 10 November 2009
- journal article
- research article
- Published by Taylor & Francis in Communications in Algebra
- Vol. 37 (11) , 3912-3927
Abstract
In this article, we develop further the theory of matrices over the extended tropical semiring. We introduce the notion of tropical linear dependence, enabling us to define matrix rank in a sense that coincides with the notions of tropical nonsingularity and invertibility.Keywords
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