An Interior-Point Algorithm for the Maximum-Volume Ellipsoid Problem

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of the earliest studies was due to F. John 6]. In particular, John's results implies that once the maximum-volume inscribing ellipsoid E is found in P, then. E PnE:.
An Interior-Point Algorithm for the Maximum-Volume Ellipsoid Problem Technical Report TR98-15 Yin Zhang Department of Computational and applied Mathematics Rice University Houston, Texas 77005 September, 1998 (Revised, April 1999) Abstract

In this report, we consider the problem of nding the maximumvolume ellipsoid inscribing a given full-dimensional polytope in

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