On the Geometry of the Birkhoff Polytope I. The operator ln^p-norm [r-libre/3319]

Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (2025). On the Geometry of the Birkhoff Polytope I. The operator ln^p-norm. Acta Scientiarum Mathematicarum, 91 (1-2), 227-245. https://doi.org/10.1007/s44146-024-00152-8

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Item Type:	Journal Articles
Refereed:	Yes
Status:	Published
Abstract:	The geometry of the Birkhoff polytope, i.e., the compact convex set of all n x 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 paper, we completely characterize the Chebyshev center and the Chebyshev radius of the Birkhoff polytope associated with the metrics induced by the operator ln^p-norms for the range 1 \leq or \leq infinity.
Official URL:	https://link.springer.com/article/10.1007/s44146-0...
Depositor:	Morneau-Guérin, Frédéric
Owner / Manager:	Frédéric Morneau-Guérin
Deposited:	11 Jul 2024 12:33
Last Modified:	14 May 2025 10:37

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