M. Rodríguez Álvarez, J. Vicente Pérez, J. E. Martínez Legaz
In recent years, different families of convex sets which can be decomposed as the (Minkowski) sum of a bounded convex set and a convex cone have been introduced. In particular, M-decomposable sets are the sum of a compact convex set and a closed convex cone (the corresponding recession cone), being polyhedral convex sets a subclass of this family of closed convex sets. More recently, the class of e-polyhedra (the solution sets of finite linear systems containing strict inequalities) was studied and it was proved that any e-polyhedron can be expressed as the sum of an e-polytope (bounded e-polyhedron) and its recession cone. In this talk, we extend this kind of decomposition to the broader class of evenly convex sets, that is, the intersections of families of open half-spaces (Fenchel 1952).
Keywords: Convex sets, linear inequality systems
Scheduled
Continuous Optimization II
June 10, 2025 3:30 PM
MR 3