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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2021 Volume 61, Number 1, Pages 162–176 (Mi zvmmf11191)

This article is cited in 16 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

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.

UDC: 519.86

Received: 25.06.2020
Revised: 25.06.2020
Accepted: 18.09.2020

DOI: 10.31857/S0044466921010087


 English version:
Computational Mathematics and Mathematical Physics, 2021, 61:1, 153–166

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© Steklov Math. Inst. of RAS, 2026