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Towards a Practical Volumetric Cutting Plane Method for Convex Programming
Journal article   Peer reviewed

Towards a Practical Volumetric Cutting Plane Method for Convex Programming

Kurt M Anstreicher
SIAM journal on optimization, Vol.9(1), pp.190-206
1998
DOI: 10.1137/S1052623497318013

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Abstract

We consider the volumetric cutting plane method for finding a point in a convex set ${\cal C}\subset\Re^n$ that is characterized by a separation oracle. We prove polynomiality of the algorithm with each added cut placed directly through the current point and show that this "central cut" version of the method can be implemented using no more than 25n constraints at any time.
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