Weak and Strong DualityCovers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Optimisation in Energy SystemsExplores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.
KKT and Convex OptimizationCovers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.
Proof of Strong DualityCovers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.
Initial BFSExplores finding the initial Basic Feasible Solution (BFS) in a linear program.
Quasi-newton optimizationCovers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.
