Two problems of the theory of quadratic maps

Given quadratic forms q 1,..., 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 ≠ 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. © 2012 Springer-Verlag.

Авторы
Номер выпуска
3
Язык
Английский
Страницы
225-227
Статус
Опубликовано
Том
46
Год
2012
Организации
  • 1 Peoples Friendship University, Moscow, Russian Federation
Ключевые слова
quadratic form; quadratic map; zero set of a quadratic map
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