Positive Quadratic Forms on Intersections of Quadrics
Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 27-36
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The positive definiteness of a quadratic form on the cone defined as the set of points at which given quadratic forms vanish or are nonnegative is studied. Necessary and sufficient conditions for the positivity of a quadratic form on this cone are obtained. The results are applied to study second-order sufficient conditions for abnormal extremal problems.
@article{MZM_2002_71_1_a2,
author = {A. V. Arutyunov},
title = {Positive {Quadratic} {Forms} on {Intersections} of {Quadrics}},
journal = {Matemati\v{c}eskie zametki},
pages = {27--36},
publisher = {mathdoc},
volume = {71},
number = {1},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_1_a2/}
}
A. V. Arutyunov. Positive Quadratic Forms on Intersections of Quadrics. Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 27-36. http://geodesic.mathdoc.fr/item/MZM_2002_71_1_a2/