%0 Journal Article
%A Puente Muñoz, María Jesús De La
%T On tropical Kleene star matrices and alcoved polytopes
%D 2013
%@ 0023-5954
%U https://hdl.handle.net/20.500.14352/44129
%X In this paper we give a short, elementary proof of a known result in tropical mathematics, by which the convexity of the column span of a zero-diagonal real matrix $A$ is characterized by $A$ being a Kleene star. We give applications to alcoved polytopes, using normal idempotent matrices (which form a subclass of Kleene stars). For a normal matrix we define a norm and show that this is the radius of a hyperplane section of its tropical span.
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