Condition number and eccentricity of a closed convex cone (Q2879607)
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scientific article; zbMATH DE number 6019007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Condition number and eccentricity of a closed convex cone |
scientific article; zbMATH DE number 6019007 |
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Condition number and eccentricity of a closed convex cone (English)
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28 March 2012
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convex cone
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circumradius, inradius
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condition number
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eccentricity
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simplicial cones
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0.87477404
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0.8612755
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0.8594835
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0.85646707
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0.8445574
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0.84095347
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The paper is the last part of a~triptych initiated by the authors in [Set-Valued Var. Anal. 18, No. 2, 205--231 (2010; Zbl 1198.46011)] and continued in [Set-Valued Var. Anal. 18, No. 3--4, 483--511 (2010; Zbl 1217.46047)], and is concerned with the condition number of a~closed convex cone in~\(\mathbb R^n\). The condition number refers to the ratio between the circumradius and the inradius. The eccentricity of a~closed convex cone is also examined; this is a~coefficient that measures to which extent the circumcenter differs from the incenter. Some extremality issues concerning inradii and circumradii are discussed.
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