Condition number and eccentricity of a closed convex cone

René Henrion, Alberto Seeger

Abstract


We discuss some extremality issues concerning the circumradius, the inradius, and the condition number of a closed convex cone in $\mathsf{R}^n$. 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.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15190

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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