Davis' Convexity Theorem and Extremal Ellipsoids
Metric Geometry
2012-05-10 v2
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.
Cite
@article{arxiv.0907.1158,
title = {Davis' Convexity Theorem and Extremal Ellipsoids},
author = {Matthias J. Weber and Hans-Peter Schröcker},
journal= {arXiv preprint arXiv:0907.1158},
year = {2012}
}
Comments
10 pages, 4 figures