Concept
Duality (mathematics)
Related lectures (85)
Normed Spaces
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Duality in Linear Programming
Explores the concept of duality in linear programming, discussing the relationship between primal and dual problems.
Linear Programming Duality
Explores Linear Programming Duality, covering weak duality, strong duality, Lagrange multipliers interpretation, and optimization constraints.
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 Duality
Covers linear programming duality and complementary slackness condition.
Limits and colimits in Top
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Weak and Strong Duality
Covers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.
Convexity of Lovász Extension
Explores the convexity of Lovász extension and submodular function maximization, focusing on extending functions to convex sets and proving their convexity.
Linear Algebra: Matrix Operations
Covers matrix operations and their applications in various fields.
Linear Programming Duality
Explores the concept of duality in linear programming and its practical implications in optimization.