Duality: Lagrangian and Dual Problem

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.

Covers the application of the two-phase Simplex algorithm to solve linear programming problems.

Explores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.

Explains the process of finding an initial Basic Feasible Solution for linear optimization problems using the Simplex Algorithm.