WIAS Preprint No. 1594, (2011)

Condition number and eccentricity of a closed convex cone



Authors

  • Henrion, René
  • Seeger, Alberto

2010 Mathematics Subject Classification

  • 46B10 46B20 52A41

Keywords

  • Convex cone, circumradius, inradius, condition number, eccentricity, simplicial cones

Abstract

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.

Appeared in

  • Math. Scand., 109 (2011) pp. 285--308.

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