Lectures related to Optimization with Inequalities

Optimization with Constraints: KKT Conditions

Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.

Optimization Methods: Theory Discussion

Explores optimization methods, including unconstrained problems, linear programming, and heuristic approaches.

Linear Optimization Techniques: Problem Solving Approaches

Provides an overview of linear optimization techniques, focusing on problem-solving methods and the importance of constraints and objective functions.

Stationary Points and Lagrange Multiplier Theorem

Explores stationary points and the Lagrange multiplier theorem for function optimization.

Extreme Points and Function Extrema

Explores finding extrema of functions over compact sets and edge parametrization.

Optimization with Constraints: KKT Conditions

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

Optimisation Strategies: Energy Systems Modelling and Optimization

Explores solving strategies for energy system optimization problems and different types of optimization approaches.

Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Euler-Lagrange Equations

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.

Single Inequality or Equality Constraint

Covers single inequality or equality constraints and necessary optimality conditions in optimization problems.

Optimization in Energy Systems

Explores optimization in energy systems, focusing on decision-making through objective functions and constraints to determine system states.

Optimization: Lagrange Multipliers

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Cones of convex sets

Explores optimization on convex sets, including KKT points and tangent cones.

Optimization: Constrained Volume Problems

Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.

Optimization with Constraints: Theory and Applications

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.

Energy System Modeling: Optimization and Performance Indicators

Explores energy system modeling using optimization techniques and performance indicators.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Simplex Algorithm

Covers the Simplex algorithm for function minimization with linear constraints.

Convergence Criteria: Necessary Conditions

Explains necessary conditions for convergence in optimization problems.

Stationary Points Analysis

Covers the analysis of stationary points in functions, focusing on optimization methods.