Abstract:
A comparative analysis of the complexity of approaches to the approximation of convex compact bodies by double description polytopes is provided as applied to a ball. A complexity bound for the Estimate Refinement method is obtained in the case of approximation of a multidimensional ball.
Key words:polyhedral approximation of convex bodies, double description polytope, multidimensional ball, complexity bound for a method, covering of a multidimensional unit sphere, Estimate Refinement method.
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