KKT conditions

The Karush-Kuhn-Tucker (KKT) conditions are a set of mathematical criteria used in optimization problems where you want to maximize or minimize a function subject to certain constraints. Think of it as finding the best solution while following specific rules. The KKT conditions help identify points where the solution is optimal, meaning no small changes would improve the outcome while still adhering to these constraints. They incorporate both the objective of achieving the best possible result and the need to respect the limitations imposed by the problem.