Produção Nacional
Revisado por pares
Circumcentric directions of cones
2022; Springer Science+Business Media; Volume: 17; Issue: 4 Linguagem: Inglês
10.1007/s11590-022-01923-4
ISSN1862-4480
AutoresRoger Behling, Yunier Bello-Cruz, Hugo Lara-Urdaneta, Harry Oviedo, Luiz-Rafael Santos,
Tópico(s)Optimization and Mathematical Programming
ResumoGeneralized circumcenters have been recently introduced and employed to speed up classical projection-type methods for solving feasibility problems. In this note, circumcenters are enforced in a new setting; they are proven to provide inward directions to sets given by convex inequalities. In particular, we show that circumcentric directions of finitely generated cones belong to the interior of their polars. We also derive a measure of interiorness of the circumcentric direction, which then provides a special cone of search directions, all being feasible to the convex region under consideration.
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