Geometric optimization is an important class of problems that has many applications, especially in engineering design. In this article, we provide new simplified proofs for the well-known associated duality theory, using conic optimization. After introducing suitable convex cones and studying their properties, we model geometric optimization problems with a conic formulation, which allows us to apply the powerful duality theory of conic optimization and derive the duality results known for geometric optimization.
Citation
IMAGE9903, Service MATHRO, Facultâ–’ Polytechnique de Mons, Mons, Belgium, Oct/99
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