Agrachev, A. A. 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 Cited in 4 Documents MSC: 49K27 Optimality conditions for problems in abstract spaces 90C30 Nonlinear programming Keywords:local conditional extremal points; positive definiteness PDFBibTeX XMLCite \textit{A. A. Agrachev}, Russ. Math. Surv. 44, No. 5, 189--190 (1989; Zbl 0693.49011); translation from Usp. Mat. Nauk 44, No. 5(269), 153--154 (1989) Full Text: DOI