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Approximations of convex bodies by polytopes and by projections of spectrahedra
convex body spectrahedron approximation computational complex-ity semidefinite programming
2012/4/18
We prove that for any compact set B in R^d and for any epsilon >0 there is a finite subset X of B of |X|=d^{O(1/epsilon^2)} points such that the maximum absolute value of any linear function ell: R^d ...