Primal-Dual algorithm

The primal-dual algorithm is a mathematical method used to solve optimization problems, especially in network flow and linear programming. It works by simultaneously adjusting two related solutions: one called the “primal” (the main problem) and the other called the “dual” (a related problem that provides bounds). By iteratively improving both solutions together, the algorithm finds the optimal answer efficiently. Think of it as refining two interconnected estimates at the same time to converge on the best possible outcome, ensuring both the primary goal and constraints are satisfied.