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Kuhn-Tucker Theorem

المؤلف:  Kampas, F. J.

المصدر:  Tricks of the Trade: Using Reduce to Solve the Kuhn-Tucker Equations." Mathematica J. 9

الجزء والصفحة:  ...

18-12-2021

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Kuhn-Tucker Theorem

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.

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REFERENCES:

Kampas, F. J. "Tricks of the Trade: Using Reduce to Solve the Kuhn-Tucker Equations." Mathematica J. 9, 686-689, 2005.