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Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms

Roman Vershynin
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Abstract

The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions -- computing the size of projections of high dimensional polytopes and estimating the norms of random matrices and their inverses.

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Roman Vershynin. 2007-03-19. Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms. https://arxiv.org/abs/cs/0703093

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