Simplex Algorithm: Initial Tableau & General Case

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Recommender Systems: Matrix Factorization

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Quadratic Penalty Methods: Sound Problems

Explores Quadratic Penalty Methods for optimization with enforced constraints using penalty functions.

Optimization without Constraints: Gradient Method

Covers optimization without constraints using the gradient method to find the function's minimum.

Optimization with Constraints: KKT Conditions

Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.

Formulation, Problem Definition

Covers the formulation and problem definition in optimization, focusing on defining the objective function, constraints, and feasible set.

Simplex Algorithm: Solution on a Vertex

Explores the simplex algorithm and how optimal solutions can be found on vertices of constraint polyhedra.

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Duality: Duality in Linear Optimization

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