A CONDITION OF JACOBI TYPE FOR A QUADRATIC FORM TO BE NONNEGATIVE ON A FINITE-FACED CONE

DOI10.1070/IM1982V018N03ABEH001397zbMath0488.49008OpenAlexW2052384640MaRDI QIDQ3949585

Andrei V. Dmitruk

Publication date: 1982

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1982v018n03abeh001397

zbMATH Keywords

Hilbert spaceJacobi type conditionLegendre quadratic formfocal segmentintegral or terminal inequality constraintsnonnegativity on a finite-hedral coneMayer and Bolza problemssecond-order study of extremals in Lagrange

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Inner product spaces and their generalizations, Hilbert spaces (46C99) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Optimality conditions for problems in abstract spaces (49K27)

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