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