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Matematicheskie Zametki, 2002, Volume 71, Issue 1, Pages 27–36
DOI: https://doi.org/10.4213/mzm325 (Mi mzm325) 		 
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
Full-text PDF (201 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm325
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
English version:
Mathematical Notes, 2002, Volume 71, Issue 1, Pages 25–33
DOI: https://doi.org/10.1023/A:1013918105631
Bibliographic databases:
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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