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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 9, Pages 1616–1629 (Mi zvmmf9539)  
This article is cited in 20 scientific papers (total in 20 papers)

On the convergence of the conditional gradient method in distributed optimization problems

A. V. Chernov

Nizhni Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 603950 Russia
Full-text PDF (1150 kB) Citations (20)
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Abstract: A theorem is stated on sufficient conditions for the convergence of the conditional gradient method as applied to the optimization of a nonlinear controlled functional–operator equation in a Banach ideal space. The theory is illustrated by application to the controlled Goursat–Darboux problem.
Key words: nonlinear controlled functional–operator equation, optimization problems, conditional gradient method, sufficient conditions for convergence.
Received: 19.01.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 9, Pages 1510–1523
DOI: https://doi.org/10.1134/S0965542511090077
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. V. Chernov, “On the convergence of the conditional gradient method in distributed optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011), 1616–1629; Comput. Math. Math. Phys., 51:9 (2011), 1510–1523
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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