Home /  GTC Graduate Seminar: The minimum Euclidean-norm point in a convex polytope: Wolfe’s combinatorial algorithm is exponential

Seminar

GTC Graduate Seminar: The minimum Euclidean-norm point in a convex polytope: Wolfe’s combinatorial algorithm is exponential November 06, 2017 (03:30 PM PST - 04:30 PM PST)
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Location: SLMath: Baker Board Room
Speaker(s) Jamie Haddock (Harvey Mudd College)
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Abstract/Media

The complexity of Philip Wolfe’s method for the minimum Euclidean-norm point problem over a convex polytope has remained unknown since he proposed the method in 1974. We present the first example that Wolfe’s method has exponential behavior. Additionally, we improve previous results to show that linear programming reduces in strongly-polynomial time to the minimum norm point problem over a simplex.

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