Linear Programming DualityExplores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
Optimization PrinciplesCovers optimization principles, including linear optimization, networks, and concrete research examples in transportation.
KKT and Convex OptimizationCovers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.
Formulation, Problem DefinitionCovers the formulation and problem definition in optimization, focusing on defining the objective function, constraints, and feasible set.
Nonlinear Programming: Part ICovers the fundamentals of Nonlinear Programming and its applications in Optimal Control, exploring techniques, examples, optimality definitions, and necessary conditions.