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Please use this identifier to cite or link to this item: https://libeldoc.bsuir.by/handle/123456789/6767
Title: Value Functions and Their Directional Derivatives in Parametric Nonlinear Programming
Authors: Bondarevsky, V.
Leschov, A.
Minchenko, L. L.
Keywords: публикации ученых
nonlinear programming
value function
constraint qualifications
directional derivatives mathematical subject classification
Issue Date: 2015
Publisher: Springer link
Citation: 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.
Abstract: 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: http://libeldoc.bsuir.by/handle/123456789/6767
https://libeldoc.bsuir.by/handle/123456789/6767
ISSN: 1573-2878
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