On a degeneracy ratio for bounded convex polytopes

Published 13 Jul 2019 in math.OC | (1907.06085v1)

Abstract: We consider a quantity that measures the roundness of a bounded, convex $d$-polytope in $\mathbb{R}^d$. We majorise this quantity in terms of the smallest singular value of the matrix of outer unit normals to the facets of the polytope.

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