Positive Quadratic Forms on Intersections of Quadrics |
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| Authors: | Arutyunov A. V. |
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| Affiliation: | (1) Peoples' Friendship University of Russia, Moscow |
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| Abstract: | 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. |
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| Keywords: | positive definite quadratic form extremum conditions abnormal extremal problem Lagrange multipliers |
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