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Lecture
Duality Theorems
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Related lectures (32)
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Optimal Decision Making: Duality
Delves into duality in optimization, weak duality, cost certificates, and transforming non-linear programs into linear ones.
Certificates: Existence and Proving
Explores certificates, proving solution existence, constraints, and linear programming duality.
Linear Optimization: Finding Initial BFS
Explains the process of finding an initial Basic Feasible Solution for linear optimization problems using the Simplex Algorithm.
Linear Programming: Weighted Bipartite Matching
Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.
Linear Programming Duality
Explores the concept of duality in linear programming and its practical implications in optimization.
Optimization Problems: Path Finding and Portfolio Allocation
Covers optimization problems in path finding and portfolio allocation.
Duality: Duality in Linear Optimization
Covers the concept of linear optimization and the duality relationship between primal and dual problems.
Lagrangian Duality: Theory and Applications
Explores Lagrangian duality in convex optimization, discussing strong duality, dual solutions, and practical applications in second-order cone programs.
Weak and Strong Duality
Covers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.
Convex Optimization Problems: Theory and Applications
Explores convex optimization problems, optimality criteria, equivalent problems, and practical applications in transportation and robotics.
