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A New Derivation of the Kuhn-Tucker Conditions

B. Bernholtz
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B. Bernholtz: University of Toronto, Canada

Operations Research, 1964, vol. 12, issue 2, 295-299

Abstract: The Kuhn-Tucker necessary conditions for a local maximum of a differentiable function subject to differentiable inequality constraints, are derived by showing that the classical necessary conditions for a local maximum of a differentiable function of N variables subject to less than N equality constraints, are also meaningful when there are N or more equality constraints, if appropriate assumptions, similar to Kuhn and Tucker's “constraint qualification,” are made.

Date: 1964
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