A Generalization of the Karush–Kuhn–Tucker Theorem for Approximate Solutions of Mathematical Programming Problems Based on Quadratic Approximation
Sign Up to like & getrecommendations! Published in 2018 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542518030132
Abstract: In computations related to mathematical programming problems, one often has to consider approximate, rather than exact, solutions satisfying the constraints of the problem and the optimality criterion with a certain error. For determining stopping rules… read more here.
Keywords: mathematical programming; kuhn tucker; approximate solutions; programming problems ... See more keywords
New perspective on the Kuhn–Tucker theorem
Sign Up to like & getrecommendations! Published in 2017 at "Doklady Mathematics"
DOI: 10.1134/s1064562417050039
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… read more here.
Keywords: perspective kuhn; tucker theorem; kuhn tucker; new perspective ... See more keywords