Calculus rules for combinations of ellipsoids and applications-Reference-Cited by-同舟云学术

Calculus rules for combinations of ellipsoids and applications

Published:1993-02 Issue:1 Volume:47 Page:1-12
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Seeger Alberto

Abstract

We derive formulas for the Minkowski sum, the convex hull, the intersection, and the inverse sum of a finite family of ellipsoids. We show how these formulas can be used to obtain inner and outer ellipsoidal approximations of a convex polytope.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

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