Duality (mathematics)

Related lectures (31)

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Explores the concept of duality in linear programming, discussing the relationship between primal and dual problems.

Covers the application of Serre Duality in the general case, focusing on line bundles and core concepts.

Explains the cup and cap product in algebraic topology and their relation to homology groups.

Discusses the Fresnel coefficients for TM polarization and their application to the solution.

Explores the applications of Serre duality in Enriques-Severi-Zariski lemma, foliations, and Riemann-Roch theorem.

Explores duality theorems in linear programming, emphasizing optimal solutions and degeneracies.

Explores the formulation of the auxiliary problem in linear optimization and its role in optimal decision-making.

Explores dual translations in linear programming, emphasizing primal and dual formulations and the significance of invertible submatrices.

Delves into duality in optimization, weak duality, cost certificates, and transforming non-linear programs into linear ones.

Covers the proof of strong duality in optimization problems and provides examples of Rayleigh quotient optimization.