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Avtomatika i Telemekhanika, 2012, Issue 2, Pages 11–24 (Mi at3608)  
This article is cited in 9 scientific papers (total in 9 papers)

Linear and Nonlinear Programming

Matrix corrections minimal with respect to the Euclidean norm for linear programming problems

V. I. Erokhina, A. S. Krasnikovb, M. N. Khvostovb

a St. Petersburg State Technological University, St. Petersburg, Russia
b Borisoglebsk State Pedagogical Institute, Borisoglebsk, Russia
Full-text PDF (206 kB) Citations (9)
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Abstract: We consider special algebraic constructions, namely minimal matrix solutions and corrections of systems of linear algebraic equations and pairs of conjugate systems of linear algebraic equations. We build the corresponding mathematical apparatus that also lets us solve inverse linear programming problems (construct model linear programming problems with given properties), study and solve approximate and singular linear programming problems. We give statements of the theorems and numerical examples.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 06.06.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 2, Pages 219–231
DOI: https://doi.org/10.1134/S0005117912020026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Erokhin, A. S. Krasnikov, M. N. Khvostov, “Matrix corrections minimal with respect to the Euclidean norm for linear programming problems”, Avtomat. i Telemekh., 2012, no. 2, 11–24; Autom. Remote Control, 73:2 (2012), 219–231
Citation in format AMSBIB
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\pages 219--231
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  • https://www.mathnet.ru/eng/at/y2012/i2/p11
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Full-text PDF :86
    References:52
    First page:18
     
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