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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 7, Pages 1167–1180 (Mi zvmmf4557)  
This article is cited in 6 scientific papers (total in 6 papers)

A constructive algorithm for folding large-scale systems of linear inequalities

A. M. Lukatskii, D. V. Shapot

Energy Research Institute, Russian Academy of Sciences, Nagornaya ul. 31-2, Moscow, 117186, Russia
Full-text PDF (2315 kB) Citations (6)
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Abstract: The conventional procedure for folding a system of linear inequalities based on the Fourier–Chernikov algorithm is supplemented with techniques for eliminating redundant inequalities, which considerably counteracts the increase in the system dimension. Exact and approximate methods are proposed, which are brought to algorithmic form and software implementation. Numerical results are discussed.
Key words: convex polyhedra, linear inequalities, orthogonal projection method, Fourier–Chernikov algorithm, coordination of ranges, redundant inequalities, complete elimination of redundant inequalities, simplex method, elimination of redundant inequalities with coarsening, numerical experiments.
Received: 30.11.2007
Revised: 01.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 7, Pages 1100–1112
DOI: https://doi.org/10.1134/S0965542508070038
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: A. M. Lukatskii, D. V. Shapot, “A constructive algorithm for folding large-scale systems of linear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1167–1180; Comput. Math. Math. Phys., 48:7 (2008), 1100–1112
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:57
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