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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 1, Pages 162–176
DOI: https://doi.org/10.31857/S0044466921010087 (Mi zvmmf11191) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Computer science

Problem of aggregating of an input–output model and duality

A. A. Shananinabcd

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
c Lomonosov Moscow State University
d Peoples' Friendship University of Russia, Moscow
Citations (11)
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DOI: https://doi.org/10.31857/S0044466921010087
Abstract: Based on Fenchel's duality theorem and the Young transform, a convolution operation for technologies is constructed, which is used to study the problem of aggregating a nonlinear input–output model with concave positive homogeneous production functions.
Key words: Lagrange multipliers, Fenchel duality, Young transform, input–output model, productivity, production function, aggregation, elasticity of substitution.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-15004
This work was supported by the Russian Foundation for Basic Research, project no. 20-51-15004.
Received: 25.06.2020
Revised: 25.06.2020
Accepted: 18.09.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 1, Pages 153–166
DOI: https://doi.org/10.1134/S0965542521010085
Bibliographic databases:
Document Type: Article
UDC: 519.86
Language: Russian
Citation: A. A. Shananin, “Problem of aggregating of an input–output model and duality”, Zh. Vychisl. Mat. Mat. Fiz., 61:1 (2021), 162–176; Comput. Math. Math. Phys., 61:1 (2021), 153–166
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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