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

Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (Dec 2023). The geometry of the Birkhoff Polytope. Paper (invited) presented at the Réunion d'hiver 2023 de la SMC.

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[img]  PDF - Beamer_geometry_d_s___Winter_CMS_2023_ (2).pdf
Content : Slideshow
 
Item Type: Conference papers (unpublished)
Refereed: Yes
Status: Unpublished
Abstract: 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 <=
Official URL: https://www.winter23.cms.math.ca/
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 08 Dec 2023 16:19
Last Modified: 30 Jan 2024 23:40

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