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Avtomatika i Telemekhanika, 2004, Issue 2, Pages 16–32 (Mi at1515)  
This article is cited in 11 scientific papers (total in 12 papers)

Optimization of Finite-Dimensional Systems

Distributed fejer processes for systems of linear inequalities and problems of linear programming

E. A. Berdnikova, I. I. Eremin, L. D. Popov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (248 kB) Citations (12)
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Abstract: Consideration was given to the proper (solvable) and improper (having no conventional solution) problems of linear programming of the first, second, and third kinds. They were reduced to compatible or incompatible systems of linear inequalities. To solve them numerically, different variants of the iterative Fejer methods (processes) converging, respectively, to solutions or quasisolutions of these systems were constructed. Efficient software realizations of these methods, in particular, decomposition and parallel calculations, were discussed.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 27.06.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 2, Pages 168–183
DOI: https://doi.org/10.1023/B:AURC.0000014714.97496.79
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. A. Berdnikova, I. I. Eremin, L. D. Popov, “Distributed fejer processes for systems of linear inequalities and problems of linear programming”, Avtomat. i Telemekh., 2004, no. 2, 16–32; Autom. Remote Control, 65:2 (2004), 168–183
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:49
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