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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 10, Pages 1681–1694
DOI: https://doi.org/10.1134/S0044466919100144 (Mi zvmmf10965) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Using feedback functions in linear programming problems

A. E. Umnov, E. A. Umnov

Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141700 Russia
Citations (1)
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DOI: https://doi.org/10.1134/S0044466919100144
Abstract: A scheme for solving linear programming problems based on the use of auxiliary functions that implement feedback in the system of constraints imposed on the variables to be found and on the Lagrange multipliers is proposed. The validity of the proposed approach is proved.
Key words: linear program, penalty function method, feedback functions, modified Lagrangian function, regularization.
Received: 25.03.2019
Revised: 02.04.2019
Accepted: 10.06.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 10, Pages 1626–1638
DOI: https://doi.org/10.1134/S0965542519100142
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. E. Umnov, E. A. Umnov, “Using feedback functions in linear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1681–1694; Comput. Math. Math. Phys., 59:10 (2019), 1626–1638
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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