New perspective on the Kuhn–Tucker theorem


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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.

作者简介

Yu. Evtushenko

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”

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Email: evt@ccas.ru
俄罗斯联邦, Moscow, 119333

A. Tret’yakov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”; System Research Institute; University of Podlasie

Email: evt@ccas.ru
俄罗斯联邦, Moscow, 119333; Warsaw; Siedlce

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