INVESTIGADORES
JAUME Daniel Alejandro
artículos
Título:
1. Representability of Convex Sets by Analytical Linear Inequality Systems
Autor/es:
DANIEL A JAUME; RUBÉN PUENTE
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Lugar: Amsterdam; Año: 2004 vol. 380 p. 135 - 150
ISSN:
0024-3795
Resumen:
The solution sets of analytical linear inequality systems posed in the Euclidean space form a transition class between the polyhedral convex sets and the closed convex sets, which are representable by means of linear continuous systems. The constraint systems of many semi-infinite programming problems are analytical, and their feasible sets retain geometric properties of the polyhedral sets which are useful in the numerical treatment of such kind of optimization problems. The Euclidean closed n-dimensional balls admit analytical representation if and only if n=3, which includes quasi-polyhedral sets and smooth convex bodies.
