Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 51, No. 1, pp. 263-274 (2010)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

 		 

Davis' convexity theorem and extremal ellipsoids

Matthias J. Weber and Hans-Peter Schröcker

Unit Geometry and CAD, University Innsbruck, Technikerstraße 13, A6020 Innsbruck, Austria, e-mail: matthias.weber@uibk.ac.at e-mail:hans-peter.schroecker@uibk.ac.at

Abstract: We give a variety of uniqueness results for minimal ellipsoids circumscribing and maximal ellipsoids inscribed into a convex body. Uniqueness follows from a convexity or concavity criterion on the function used to measure the size of the ellipsoid. Simple examples with non-unique minimal or maximal ellipsoids conclude this article.

Keywords: minimal ellipsoid, maximal ellipsoid, Davis' convexity theorem

Classification (MSC2000): 52A27, 52A20

Full text of the article:

Electronic version published on: 27 Jan 2010. This page was last modified: 28 Jan 2013.

© 2010 Heldermann Verlag
© 2010–2013 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition