The diameter of the Birkhoff polytope [r-libre/3115]

Bouthat, Ludovick; Mashreghi, Javad et Morneau-Guérin, Frédéric (déc. 2023). The diameter 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 compact convex set of all n times n doubly stochastic matrices, a structure frequently referred to as the Birkhoff polytope, has been an active subject of research as of late. While its faces, edges and facets as well as its volume have been intensely studied over the years, other geometric characteristics with respect to usual matrix norms have only recently been studied in depth. In this talk, we shall explore the question of determining the diameter of the Birkhoff polytope with respect to the metrics induced by the operator norms from ell^p_n to ell^p_n and the Schatten p-norms, both for the range 1 \geq p.
Informations complémentaires :	Spec. Matrices 12 (2024), 20230113
Adresse de la version officielle :	https://www.winter23.cms.math.ca/
Déposant:	Morneau-Guérin, Frédéric
Responsable :	Frédéric Morneau-Guérin
Dépôt :	08 déc. 2023 16:17
Dernière modification :	15 févr. 2024 18:07

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