Condition number and eccentricity of a closed convex cone

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Date
2011
Volume
1594
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Link to publishers version
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.

Description
Keywords
Convex cone, circumradius, inradius, condition number, eccentricity, simplicial cones
Citation
Henrion, R., & Seeger, A. (2011). Condition number and eccentricity of a closed convex cone (Vol. 1594). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
License
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