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A batrnet We give a dual algorithm for the problem oC finding the minimum-norm point in the convex hull of a given finite set oC points in a Euclidean space. Our algorithm repeatedly rotates a separating supportinghyperplane and in finitely many steps finds the Carthest separating supporting-hyperplane, whose minimumnorm point is the desired minimum-norm point in the polytope. During the execution oC the algorithm the distance of the separating supporting-hyperplane monotonically increases. The algorithm is closely related to P. Wolfe's primal algorithm which find. a .equence of norm-decreMing points in the given polytope. Computational experiments are carried out to .how the behavior of our algorithm.

A DUAL ALGORITHM FOR FINDING THE MINIMUM-NORM POINT IN A POLYTOPE