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Bouthat, Ludovick; Mashreghi, Javad, & Morneau-Guérin, Frédéric (2024). The diameter of the Birkhoff polytope. Special Matrices, 12 (1).
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- SPMA-2023-0113_P2.pdf
Content : Published Version |
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| Item Type: | Journal Articles |
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| Refereed: | Yes |
| Status: | Published |
| Abstract: | The geometry of the compact convex set of all n * n doubly stochastic matrices, a structure frequently referred to as the Birkhoff polytope, has been an active subject of research as of late. Geometric characteristics such as the Chebyshev center and the Chebyshev radius with respect to the operator norms from l^p_n to l^p_n and the Schatten p-norms, both for the range p in the range from 1 to infinity, have only recently been studied in depth. In this article, we continue in this vein by determining the diameter of the Birkhoff polytope with respect to the metrics induced by the aforementioned matrix norms. |
| Official URL: | https://www.degruyter.com/document/doi/10.1515/spm... |
| Depositor: | Morneau-Guérin, Frédéric |
| Owner / Manager: | Frédéric Morneau-Guérin |
| Deposited: | 23 Jan 2024 14:48 |
| Last Modified: | 01 Apr 2024 05:15 |
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