STRONG DUALITY IN GEOMETRIC OPTIMIZATION USING A CONIC FORMULATION

Geometric optimization is an important class of problems that has many applications,
especially in engineering design.

In this talk, 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.