Goffin's algorithm for zonotopes

نویسنده

  • Michal Cerný
چکیده

The Löwner-John ellipse of a full-dimensional bounded convex set is a circumscribed ellipse with the property that if we shrink it by a factor n (where n is dimension), we obtain an inscribed ellipse. Goffin’s algorithm constructs, in polynomial time, a tight approximation of the Löwner-John ellipse of a polyhedron given by facet description. In this text we adapt the algorithm for zonotopes given by generator descriptions. We show that the adapted version works in time polynomial in the size of the generator description (which may be superpolynomially shorter than the facet description). AMS Classification. 90C57, 52B12, 52B55, 68U05.

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عنوان ژورنال:
  • Kybernetika

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2012