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Calculus rules for combinations of ellipsoids and applications

Published online by Cambridge University Press:  17 April 2009

Alberto Seeger
Alberto Seeger
Affiliation:
Université d'Avignon, Département de Mathématiques 84000 Avignon, France
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 1 - 12
Copyright
Copyright © Australian Mathematical Society 1993

References

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