Directional end of a convex set: Theory and applications

Authors
Goberna, MA Jornet, V Rodriguez, M
Citation
Ma. Goberna et al., Directional end of a convex set: Theory and applications, J OPTIM TH, 110(2), 2001, pp. 389-411
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
110
Issue
2
Year of publication
2001
Pages
389 - 411
Database
ISI
SICI code
0022-3239(200108)110:2<389:DEOACS>2.0.ZU;2-H
Abstract
A point of a convex set belongs to its end in a given direction when this d irection is not feasible at that point. This paper analyzes the properties of the directional end of general convex sets and closed convex sets (for w hich the directional ends are connected by arcs) as well as the relationshi p between the directional end and certain concepts on the illumination of c onvex bodies. The paper includes applications of the directional end to the theory of linear systems.