2026-06-08T12:24:00Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/441292024-06-05T16:21:29Zcom_20.500.14352_14col_20.500.14352_15
On tropical Kleene star matrices and alcoved polytopes
Puente Muñoz, María Jesús De La
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.
2023-06-20T03:38:28Z
2023-06-20T03:38:28Z
2023-06-20T03:38:28Z
2013
journal article
https://hdl.handle.net/20.500.14352/44129
0023-5954
eng
open access
Ceska Akademie Verlag