Simplex Algorithm: Basics

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Simplex Algorithm: Solution on a Vertex

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

Optimization Problems: Path Finding and Portfolio Allocation

Covers optimization problems in path finding and portfolio allocation.

Linear Programming Basics

Covers deriving basic linear program representation, finding solutions, and exploring optimality.

Semi-Definite Programming

Covers semi-definite programming and optimization over positive semidefinite cones.

Simplex Algorithm: Exercises & Interpretation

Covers exercises on the Simplex Algorithm, optimizing solutions subject to linear constraints.

Convex Polyhedra and Linear Programs

Explores convex polyhedra, linear programs, and their optimization importance.

Hedging for LPs

Covers the concept of hedging for Linear Programs and the simplex method, focusing on minimizing costs and finding optimal solutions.

Linear Programming Duality

Explores the concept of duality in linear programming and its practical implications in optimization.

Initial BFS

Explores finding the initial Basic Feasible Solution (BFS) in a linear program.

Introduction to Optimization

Covers the basics of optimization, including historical perspectives, mathematical formulations, and practical applications in decision-making problems.