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This article is cited in 9 scientific papers (total in 9 papers)
Brief communications
Two Problems of the Theory of Quadratic Maps
A. V. Arutyunov Peoples Friendship University of Russia, Moscow
Abstract:
Given quadratic forms $q_1, \dots, q_k$, two questions are studied: Under what conditions does the set of common zeros of these quadratic forms consist of the only point $x=0$? When is the maximum of these quadratic forms nonnegative or positive for any $x\ne 0$? Criteria for each of these conditions to hold are obtained. These criteria are stated in terms of matrices determining the quadratic forms under consideration.
Keywords:
quadratic form, quadratic map, zero set of a quadratic map.
Received: 28.09.2010
Citation:
A. V. Arutyunov, “Two Problems of the Theory of Quadratic Maps”, Funktsional. Anal. i Prilozhen., 46:3 (2012), 81–84; Funct. Anal. Appl., 46:3 (2012), 225–227
Linking options:
https://www.mathnet.ru/eng/faa3085https://doi.org/10.4213/faa3085 https://www.mathnet.ru/eng/faa/v46/i3/p81
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Abstract page: | 643 | Full-text PDF : | 217 | References: | 91 | First page: | 35 |
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