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Related lectures (31)
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Optimisation with Constraints: Interior Point Algorithm
Explores optimization with constraints using KKT conditions and interior point algorithm on two examples of quadratic programming.
Linear Programming: Two-phase Simplex Algorithm
Covers the application of the two-phase Simplex algorithm to solve linear programming problems.
Nonlinear Programming: Part I
Covers the fundamentals of Nonlinear Programming and its applications in Optimal Control, exploring techniques, examples, optimality definitions, and necessary conditions.
Projected Gradient Descent and Quadratic Penalty
Covers Projected Gradient Descent and Quadratic Penalty methods for optimization problems.
Primal-dual Methods for Composite Minimization
Covers primal-dual methods for composite minimization, stochastic algorithms, nonconvex problems, and quadratic penalty techniques.
Local Sensitivity Analysis: Feasibility and Optimality
Explores local sensitivity analysis in linear programming, examining how changes impact optimality and feasibility.
Quadratic Penalty Methods: Sound Problems
Explores Quadratic Penalty Methods for optimization with enforced constraints using penalty functions.
Primal-dual optimization: Theory and Computation
Explores primal-dual optimization, conjugation of functions, strong duality, and quadratic penalty methods in data mathematics.
Trajectory Optimization with CALIPSO
Introduces CALIPSO, a solver for trajectory optimization with constraints in robotics, showcasing methods and examples.
Optimality Conditions in Linear Optimization
Covers optimality conditions, strong duality, and complementarity slackness in linear optimization.