In this program
- Convex sets and convex functions
- Separation theorems
- Supporting hyperplanes
- Subgradients and optimality conditions
- Conjugate functions and Fenchel duality
- Strong and strict convexity
Convex analysis foundations
Subgradients and optimality conditions
Convex optimization · Standard syllabus
Topic
Subgradients and optimality conditions
Graduate Convex Optimization — scope drawn from Boyd & Vandenberghe Convex Optimization (free PDF) and typical US graduate convex optimization syllabi.