Recursive algorithms for inner ellipsoidal approximation of convex polytopes
β Scribed by Fabrizio Dabbene; Paolo Gay; Boris T. Polyak
- Book ID
- 108307343
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 248 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0005-1098
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π SIMILAR VOLUMES
ISOMORPHISM CLASSES OF CONVEX POLYTOPES ## 1. Introduction Let ~a denote the set of all d-dimensional convex polytopes (d-polytopes) in d-dimensional Euclidean space R d. For any Pe~ a we write [P] for the class of all d-polytopes combinatorially isomorphic to P. For the definitions of these terms
We present efficient and simple algorithms for the approximation of a d-dimensional ellipsoid by polytopes of a prescribed size which are either contained in or contain the ellipsoid. The polytopes provided by our algorithms have a high degree of regularity, which enables us to construct their j-ske