Positive quadratic forms on intersections of quadrics

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.

Авторы
Редакторы
-
Журнал
Издательство
-
Номер выпуска
1-2
Язык
Английский
Страницы
25-33
Статус
Опубликовано
Подразделение
-
Номер
-
Том
71
Год
2002
Организации
  • 1 Peoples' Friendship University of Russia, Moscow, Russian Federation
Ключевые слова
Abnormal extremal problem; Extremum conditions; Lagrange multipliers; Positive definite quadratic form
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/127/