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A Necessary and Sufficient Qualification for Constrained Optimization

F. J. Gould and Jon W. Tolle
SIAM Journal on Applied Mathematics
Vol. 20, No. 2 (Mar., 1971), pp. 164-172
Stable URL: http://www.jstor.org/stable/2099916
Page Count: 9
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A Necessary and Sufficient Qualification for Constrained Optimization
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Abstract

A weak qualification is given which insures that a broad class of constrained optimization problems satisfies the analogue of the Kuhn-Tucker conditions at optimality. The qualification is shown to be necessary and sufficient for these conditions to be valid for any objective function which is differentiable at the optimum.

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