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One more condition for a conditional extremum. (English. Russian original) Zbl 0693.49011

Russ. Math. Surv. 44, No. 5, 189-190 (1989); translation from Usp. Mat. Nauk 44, No. 5(269), 153-154 (1989).
A characterization of local conditional extremal points of a function in a finite dimensional space is given. The characterization consists in the positive definiteness of the maximum of a certain family of quadratic functions on a subspace.
Reviewer: V.Veliov

MSC:

49K27 Optimality conditions for problems in abstract spaces
90C30 Nonlinear programming
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