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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 2, Pages 33–47 (Mi timm22)  
This article is cited in 6 scientific papers (total in 7 papers)

Mathematical Programming

Finding the projection of a given point on the set of solutions of a linear programming problem

A. I. Golikov, Yu. G. Evtushenko
Full-text PDF (337 kB) Citations (7)
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Abstract: The problem of finding the projections of points on the sets of solutions of primal and dual problems of linear programming is considered. This problem is reduced to a single solution of the problem of minimizing a new auxiliary function, starting from some threshold value of the penalty coefficient. Estimates of the threshold value are obtained. A software implementation of the proposed method is compared with some known commercial and research software packages for solving linear programming problems.
Received: 25.01.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, Volume 14, Issue 2, Pages S68–S83
DOI: https://doi.org/10.1134/S0081543808060084
Bibliographic databases:
Document Type: Article
UDC: 519.854
Language: Russian
Citation: A. I. Golikov, Yu. G. Evtushenko, “Finding the projection of a given point on the set of solutions of a linear programming problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 2, 2008, 33–47; Proc. Steklov Inst. Math. (Suppl.), 14, suppl. 2 (2008), S68–S83
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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