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Inradius and Circumradius of Various Convex Cones Arising in Applications

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Abstract

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.

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Authors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117, Berlin, Germany

    René Henrion

  2. Department of Mathematics, University of Avignon, 33 rue Louis Pasteur, 84000, Avignon, France

    Alberto Seeger

Authors
  1. René Henrion
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  2. Alberto Seeger
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Correspondence to Alberto Seeger.

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Dedicated to Jean-Baptiste Hiriart-Urruty on the occasion of his 60th birthday.

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Henrion, R., Seeger, A. Inradius and Circumradius of Various Convex Cones Arising in Applications. Set-Valued Anal 18, 483–511 (2010). https://doi.org/10.1007/s11228-010-0150-z

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