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Directional End of a Convex Set: Theory and Applications |
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| Authors: | Goberna M A Jornet V Rodríguez M |
| Affiliation: | (1) IBM T. J. Watson Research Center and MIT, 32-221, 1101 Kitchawan Road, Yorktown Heights, NY 10598, USA;(2) MIT Sloan School of Management, 50 Memorial Drive, Cambridge, MA 02139-4307, USA |
| 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. |
| Keywords: | Convex sets linear systems illumination visibility semi-infinite programming |
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