https://libeldoc.bsuir.by/handle/123456789/6767
Название: | Value Functions and Their Directional Derivatives in Parametric Nonlinear Programming |
Авторы: | Bondarevsky, V. Leschov, A. Minchenko, L. L. |
Ключевые слова: | публикации ученых;nonlinear programming;value function;constraint qualifications;directional derivatives mathematical subject classification |
Дата публикации: | 2015 |
Издательство: | Springer link |
Описание: | Bondarevsky, V. Value Functions and Their Directional Derivatives in Parametric Nonlinear Programming / V. Bondarevsky , A. Leschov, L. Minchenko // Jornal of Optimization Theory and Applicftions . – 2015. - № 9. |
Аннотация: | We study questions of existence and calculation of directional derivatives of value functions of onlinear mathematical programming problems depending on parameters. To this end, we use the directional derivatives of the multivalued mappings, defined by the constraints of the problems; this approach was pioneered by Demyanov. We obtain sufficient conditions for existence and explicit formulas for calculating the directional derivatives of the first and second orders, under weaker hypotheses than those traditionally assumed. |
URI: | https://libeldoc.bsuir.by/handle/123456789/6767 |
ISSN: | 1573-2878 |
Располагается в коллекциях: | Публикации в зарубежных изданиях |
Файл | Описание | Размер | Формат | |
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Bondarevsky_Value Functions.pdf | 395.18 kB | Adobe PDF | Открыть |
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