The Kuhn-Tucker theorem is a theorem in nonlinear programming which states that if a regularity condition holds and and the functions are convex, then a solution which satisfies the conditions for a vector of multipliers is a global minimum. The Kuhn-Tucker theorem is a generalization of Lagrange multipliers. Farkas's lemma is key in proving this theorem.
See alsoFarkas's Lemma, Lagrange Multiplier
ReferencesKampas, F. J. "Tricks of the Trade: Using Reduce to Solve the Kuhn-Tucker Equations." Mathematica J. 9, 686-689, 2005.
Referenced on Wolfram|AlphaKuhn-Tucker Theorem
Cite this as:
Weisstein, Eric W. "Kuhn-Tucker Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Kuhn-TuckerTheorem.html