Preprint series: 03-42 , Preprints

The paper is published: Beitraege zur Algebra und Geometrie / Contributions to algebra and geometry

MSC:

52A20 Convex sets in $n$ dimensions (including convex hypersurfaces), See also {53A07, 53C45}

52A40 Inequalities and extremum problems

90C34 Semi-infinite programming

Abstract: In this contribution we give a semi-infinite optimization approach to investigate the

affine breadth eccentricity of convex bodies. An optimization-technique-based description of the

minimal ellipsoid (Loewner-ellipsoid) of a convex body is used to derive an upper bound of the affine

eccentricity in a very natural way. An additional special (integer programming) optimization problem

shows that the obtained upper bound is the best possible one.

Keywords: Affine breadth eccentricity, minimal ellipsoid

Upload: 2004-03-22-03-22