Differential properties of the minimum function for diagonalizable quadratic problems

For the problem of minimizing a quadratic functional subject to quadratic equality constraints, the topological and differential properties of the minimum function are examined. It is assumed that all the quadratic forms appearing in the statement of the problem are determined by simultaneously diagonalizable matrices. Under this assumption, sufficient conditions for the minimum function to be Lipschitzian are derived, and a description of the set on which this function may not be differentiable, is given. © 2012 Pleiades Publishing, Ltd.

Авторы
Arutyunov A.V. 1 , Zhukovskiy S.E. 1 , Mingaleeva Z.T.2
Номер выпуска
10
Язык
Английский
Страницы
1342-1350
Статус
Опубликовано
Том
52
Год
2012
Организации
  • 1 Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 119198, Russian Federation
  • 2 Moscow State University, Moscow, 119992, Russian Federation
Ключевые слова
minimum function; quadratic form; quadratic mapping
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2258/
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