Abstract
This work concerns the numerical computation of critical angles in polyhedral convex cones. The set of proper critical angles is evaluated explicitly by solving a series of generalized eigenvalue problems involving the generators of the cone. The local maximal angles are identified by using a necessary condition for local maximality. The expected numbers of critical angles in random polyhedral convex cones are estimated experimentally.
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Gourion, D., Seeger, A. Critical angles in polyhedral convex cones: numerical and statistical considerations. Math. Program. 123, 173–198 (2010). https://doi.org/10.1007/s10107-009-0317-2
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DOI: https://doi.org/10.1007/s10107-009-0317-2