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This article is cited in 5 scientific papers (total in 5 papers)
Positive Quadratic Forms on Intersections of Quadrics
A. V. Arutyunov Peoples Friendship University of Russia
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.
Received: 30.08.2000
Citation:
A. V. Arutyunov, “Positive Quadratic Forms on Intersections of Quadrics”, Mat. Zametki, 71:1 (2002), 27–36; Math. Notes, 71:1 (2002), 25–33
Linking options:
https://www.mathnet.ru/eng/mzm325https://doi.org/10.4213/mzm325 https://www.mathnet.ru/eng/mzm/v71/i1/p27
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Abstract page: | 427 | Full-text PDF : | 221 | References: | 41 | First page: | 1 |
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