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On two questions of optimization theory concerning quadratic mappings

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In this paper we present solutions of two open problems from the theory of quadratic mappings arising from the optimization theory and formulated by Hiriart-Urruty (SIAM Rev 49(2):255–273, 2007). The first problem is concerned with the non-triviality of the set of common zeroes of finitely many of quadratic forms. The second problem deals with the positivity of the maximum of finitely many of quadratic forms.

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  1. Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russia

    A. V. Arutyunov

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  1. A. V. Arutyunov
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Arutyunov, A.V. On two questions of optimization theory concerning quadratic mappings. Optim Lett 6, 1009–1015 (2012). https://doi.org/10.1007/s11590-011-0331-1

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  • DOI: https://doi.org/10.1007/s11590-011-0331-1

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