The geometry of the Birkhoff Polytope [r-libre/3114]

Bouthat, Ludovick; Mashreghi, Javad et Morneau-Guérin, Frédéric (déc. 2023). The geometry of the Birkhoff Polytope. Communication (sur invitation) présentée à la Réunion d'hiver 2023 de la SMC.

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Catégorie de document :	Communications à des congrès/colloques et conférences (non publiées)
Évaluation par un comité de lecture :	Oui
Étape de publication :	Non publié
Résumé :	The geometry of the Birkhoff polytope, i.e., the compact convex set of all n times n doubly stochastic matrices, has been an active subject of research. While its faces, edges and facets as well as its volume have been intensely studied, other geometric characteristics such as the center and radius were left off, despite their natural uses in some areas of mathematics. In this talk, we present recent results on the Chebyshev center and the Chebyshev radius of the Birkhoff polytope associated with the metrics induced by the operator norms from ell^p_n to ell^p_n and by the Schatten p-norms, both for the range 1 <=
Adresse de la version officielle :	https://www.winter23.cms.math.ca/
Déposant:	Morneau-Guérin, Frédéric
Responsable :	Frédéric Morneau-Guérin
Dépôt :	08 déc. 2023 16:19
Dernière modification :	30 janv. 2024 23:40

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