CONDITION NUMBER AND ECCENTRICITY OF A CLOSED CONVEX CONE

René Henrion (1) , Alberto Seeger (2)

1 WIAS - Weierstraß-Institut für Angewandte Analysis und Stochastik = Weierstrass Institute for Applied Analysis and Stochastics [Berlin]
2 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

We discuss some extremality issues concerning the circumradius, the inradius, and the condition number of a closed convex cone in $\mathbb{R}^n$. The condition number refers to the ratio between the circumradius and the inradius. We also study the eccentricity of a closed convex cone, which is a coefficient that measures to which extent the circumcenter differs from the incenter.

Domaines: Mathématiques [math]

René Henrion, Alberto Seeger. CONDITION NUMBER AND ECCENTRICITY OF A CLOSED CONVEX CONE. Mathematica Scandinavica, 2011. ⟨hal-01326072⟩