Condition number and eccentricity of a closed convex cone
- Henrion, René
- Seeger, Alberto
2010 Mathematics Subject Classification
- 46B10 46B20 52A41
- Convex cone, circumradius, inradius, condition number, eccentricity, simplicial cones
We discuss some extremality issues concerning the circumradius, the inradius, and the condition number of a closed convex cone in $mathbbR^n$. 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.
- Math. Scand., 109 (2011) pp. 285--308.