Abstract
Consider inn-dimensional Euclidean space the intersection of a convex cone and a hyperplane through a given point. The problem is to minimize the (n-1)-volume of this intersection. A geometric interpretation of the first-order optimality condition is given. The special casen=2 is known as a characteristic property of Philon's line.
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Communicated by C. G. Broyden
Editorial Note. Because of Professor Wetterling's death on January 21, 1994, this paper was handled by Dr. F. Twilt, Department of Applied Mathematics University of Twente, Enschede, Netherlands.
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Wetterling, W.W.E. Philon's line generalized: An optimization problem from geometry. J Optim Theory Appl 90, 517–521 (1996). https://doi.org/10.1007/BF02189793
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DOI: https://doi.org/10.1007/BF02189793