Critical angles in polyhedral convex cones: numerical and statistical considerations |
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Authors: | Daniel Gourion Alberto Seeger |
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Institution: | 1. Department of Mathematics, University of Avignon, 33, rue Louis Pasteur, 84000, Avignon, France
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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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Keywords: | |
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