RT Journal Article
T1 On tropical Kleene star matrices and alcoved polytopes
A1 Puente Muñoz, María Jesús de la
AB 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.
PB Ceska Akademie Verlag
SN 0023-5954
YR 2013
FD 2013
LK https://hdl.handle.net/20.500.14352/44129
UL https://hdl.handle.net/20.500.14352/44129
LA eng
DS Docta Complutense
RD 1 may 2024