Lectures related to Karmarkar's algorithm

Optimisation with Constraints: Interior Point Algorithm

Explores optimization with constraints using KKT conditions and interior point algorithm on two examples of quadratic programming.

Nonlinear Programming: Part I

Covers the fundamentals of Nonlinear Programming and its applications in Optimal Control, exploring techniques, examples, optimality definitions, and necessary conditions.

Cutting Plane Methods

Explores cutting plane methods, ellipsoid algorithm, and competitive algorithms for optimization.

Trajectory Optimization with CALIPSO

Introduces CALIPSO, a solver for trajectory optimization with constraints in robotics, showcasing methods and examples.

Optimization with Constraints: KKT Conditions

Covers optimization with constraints using KKT conditions and matrix invertibility in numerical analysis.

Optimal Power Flow Solvers: Next Generation Advancements

Explores advancements in optimal power flow solvers, focusing on multiperiod and security-constrained optimization.