Directional end of a convex set: theory and applications

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Title: Directional end of a convex set: theory and applications
Authors: Goberna, Miguel A. | Jornet Pla, Valentín | Rodríguez Álvarez, Margarita
Research Group/s: Programación Semi-infinita
Center, Department or Service: Universidad de Alicante. Departamento de Estadística e Investigación Operativa
Keywords: Convex sets | Linear systems | Illumination | Visibility | Semi-infinite programming
Knowledge Area: Matemáticas
Issue Date: Aug-2001
Publisher: Springer Netherlands
Citation: GOBERNA TORRENT, Miguel Ángel; JORNET PLA, Valentín; RODRÍGUEZ ÁLVAREZ, Margarita. "Directional end of a convex set: theory and applications". Journal of Optimization Theory and Applications. Vol. 110, No. 2 (Aug. 2001). ISSN 0022-3239, pp. 389-411
Abstract: A point of a convex set belongs to its end in a given direction when this direction is not feasible at that point. This paper analyzes the properties of the directional end of general convex sets and closed convex sets (for which the directional ends are connected by arcs) as well as the relationship between the directional end and certain concepts on the illumination of convex bodies. The paper includes applications of the directional end to the theory of linear systems.
Description: Esta es una versión anterior del artículo publicado en la revista Journal of Optimization Theory and Applications.
Sponsor: This work was supported by the DGES of Spain, Grant PB98-0975.
ISSN: 0022-3239 (Print) | 1573-2878 (Online)
DOI: 10.1023/A:1017583514580
Language: eng
Type: info:eu-repo/semantics/article
Rights: The original publication is available at
Peer Review: si
Publisher version:
Appears in Collections:INV - LOPT - Artículos de Revistas

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