Numerical optimization

Numerical optimization is a mathematical technique used to find the best solution from a set of possible options. Think of it as a way to improve a situation by adjusting variables to achieve the most favorable outcome, like minimizing costs or maximizing profits. This process involves algorithms—step-by-step procedures—that systematically explore potential solutions. It's widely used in various fields, such as engineering, finance, and artificial intelligence, to solve complex problems where traditional methods might be too slow or impractical. Essentially, it helps us make informed decisions by identifying the optimal answers within given constraints.