Lagrange multiplier
Lagrange multiplierA notional variable introduced to help in finding constrained maxima and minima. Suppose that a function y = f(x, z) has to be maximized subject to the constraint that g(x, z) ≤ k. One approach to this problem is to locate a stationary value of the expression L = f(x, z) − λ[g(x, z) − k]. Where f x denotes ∂f(x, z)/∂x, etc, L takes a stationary value where L x = L z = 0; but L x = f x − λg x and L z = f z − λg z . If the constraint is not binding, λ = 0 and y is maximized...
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