Davis' Convexity Theorem and Extremal Ellipsoids

Matthias J. Weber; Hans-Peter Schröcker

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arXiv · 0907.1158

Davis' Convexity Theorem and Extremal Ellipsoids

Matthias J. Weber·Hans-Peter Schröcker

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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.

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BibTeX RIS

Matthias J. Weber, Hans-Peter Schröcker. 2009-08-25. Davis' Convexity Theorem and Extremal Ellipsoids. https://arxiv.org/abs/0907.1158

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