Non-linear Optimization

Non-linear optimization is a method used to find the best possible solution when the relationship between variables is curved or complex, not straight. Instead of simple linear formulas, it deals with equations where variables interact in more complicated ways. Think of it as adjusting multiple settings on a machine to maximize efficiency or minimize cost, where the effects of these settings are not directly proportional. It’s widely used in engineering, finance, and science to solve real-world problems where relationships are inherently non-linear, aiming to identify optimal solutions under given constraints.