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Título:
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On tropical Kleene star matrices and alcoved polytopes
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Autores:
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Puente Muñoz, María Jesús de la
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Tipo de documento:
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texto impreso
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Editorial:
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Ceska Akademie Verlag, 2013
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Álgebra
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/id/eprint/24691/1/Kybernetika_49-2013-6_5.pdf
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