In mathematical optimization, the method of Lagrange multipliers (named after Joseph Louis Lagrange) provides a strategy for finding the maximum/minimum of a function subject to constraints. If (x,y)? is a maximum for the original constrained problem, then there exists a ? such that (x,y,?)? is a stationary point for the Lagrange function (stationary points are those points where the partial derivatives of ? are zero). However, not all stationary points yield a solution of the original problem. Thus, the method of Lagrange multipliers yields a necessary condition for optimality in constrained problems.

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