Email this article New perspective on the Kuhn–Tucker theorem
- Authors: Evtushenko Y.G.1, Tret’yakov A.A.1,2,3
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- System Research Institute
- University of Podlasie
- Issue: Vol 96, No 2 (2017)
- Pages: 427-429
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225355
- DOI: https://doi.org/10.1134/S1064562417050039
- ID: 225355
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Abstract
A new proof of the Kuhn–Tucker theorem on necessary conditions for a minimum of a differentiable function of several variables in the case of inequality constraints is given. The proof relies on a simple inequality (common in textbooks) for the projection of a vector onto a convex set.
About the authors
Yu. G. Evtushenko
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Author for correspondence.
Email: evt@ccas.ru
Russian Federation, Moscow, 119333
A. A. Tret’yakov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”; System Research Institute; University of Podlasie
Email: evt@ccas.ru
Russian Federation, Moscow, 119333; Warsaw; Siedlce
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