WIAS Preprint No. 1505, (2010)

Inradius and circumradius of various convex cones arising in applications


  • Henrion, René
    ORCID: 0000-0001-5572-7213
  • Seeger, Alberto

2010 Mathematics Subject Classification

  • 46B10 46B20 52A41


  • Convex cone, incenter, circumcenter, inradius, circumradius, ball-generated cone, fitted cone, cone of matrices




This note addresses the issue of computing the inradius and the circumradius of a convex cone in a Euclidean space. It deals also with the related problem of finding the incenter and the circumcenter of the cone. We work out various examples of convex cones arising in applications.

Appeared in

  • Set-Valued Var. Anal., 18 (2010) pp. 483--511.

Download Documents