Proof of Strong DualityCovers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.
Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
KKT and Convex OptimizationCovers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.
Duality in Linear ProgrammingExplores the concept of duality in linear programming, discussing the relationship between primal and dual problems.
Duality: Economic InterpretationExplores duality in linear programming, strong duality, complementary slackness, and the economic interpretation of dual variables as prices.
Optimization PrinciplesCovers optimization principles, including linear optimization, networks, and concrete research examples in transportation.
Legendre TransformExplores the Legendre transform, duality in convex analysis, and optimization problems.