Critical angles in polyhedral convex cones: numerical and statistical considerations

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.

• Content Type Journal Article
• Category Full Length Paper
• DOI 10.1007/s10107-009-0317-2
• Authors
  
  
  • Daniel Gourion, University of Avignon Department of Mathematics 33, rue Louis Pasteur 84000 Avignon France
  • Alberto Seeger, University of Avignon Department of Mathematics 33, rue Louis Pasteur 84000 Avignon France
  
  

• Journal Mathematical Programming
• Online ISSN 1436-4646
• Print ISSN 0025-5610

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Original source : http://www.springerlink.com/content/56846573074475...