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Fenchel's duality theorem in generalized geometric programming
Authors:E. L. Peterson
Affiliation:(1) Department of Engineering Sciences and Applied Mathematics, Department of Industrial Engineering and Management Sciences, and Department of Mathematics, Northwestern University, Evanston, Illinois
Abstract:Fenchel's duality theorem is extended to generalized geometric programming with explicit constraints—an extension that also generalizes and strengthens Slater's version of the Kuhn-Tucker theorem.This research was sponsored by the Air Force Office of Scientific Research, Air Force Systems Command, USAF, under Grant No. AFOSR-73-2516.
Keywords:Fenchel's duality theorem  generalized geometric programming  convex programming  ordinary programming  Slater's constraint qualification  Kuhn-Tucker theorem
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