What is Lagrange-multipliers?

Answer 1

Lagrange multipliers is a mathematical method used to find the local maxima and minima of a function subject to equality constraints. It introduces additional variables, called Lagrange multipliers, which help incorporate the constraints into the optimization problem. By solving the system of equations formed by the gradients of the objective function and the constraints, one can identify optimal solutions while respecting the given conditions. This technique is widely used in various fields, including economics, engineering, and physics.