Primal-Dual Method

The primal-dual method is a mathematical approach used in optimization problems, which involve finding the best solution from many possibilities. It simultaneously explores two related problems: the "primal" problem, which seeks to maximize or minimize a function, and the "dual" problem, which derives from the primal but focuses on constraints instead. By solving both together, the method efficiently finds optimal solutions and provides insights into the relationships between constraints and objectives, enhancing problem-solving in various fields, such as economics, engineering, and computer science. This interconnected approach often leads to faster and more intuitive solutions.