by Juhnke, F..
Series: 2003-42, Preprints
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
This paper was published in:
Beitraege zur Algebra und Geometrie / Contributions to algebra and geometry