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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Pages 372–384
DOI: https://doi.org/10.7868/S0044466915030126 (Mi zvmmf10165) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Consistency and inconsistency radii for solving systems of linear equations and inequalities

O. V. Murav'eva

Moscow State Pedagogical University, ul. Malaya Pirogovskaya 1, Moscow, 129991, Russia
Full-text PDF (233 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466915030126
Abstract: Problems that reduce to consistency or inconsistency of systems of linear equations or inequalities arise in many divisions of theoretical informatics. The examples are problems in linear programming, machine learning, multicriteria optimization, etc. There exist different stability measures for the property of consistency or inconsistency, and different information constituents are possible (all the input parameters, the coefficient matrix, the vector of constraints). In this paper, variations of all parameters are examined in combination with an additional constraint important in applications, namely, the nonnegativity of feasible points.
Key words: matrix correction, inconsistent systems of linear equations and inequalities, stability of systems of linear equations and inequalities.
Received: 14.01.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 366–377
DOI: https://doi.org/10.1134/S0965542515030112
Bibliographic databases:
Document Type: Article
UDC: 519.612
MSC: 15A06
Language: Russian
Citation: O. V. Murav'eva, “Consistency and inconsistency radii for solving systems of linear equations and inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 372–384; Comput. Math. Math. Phys., 55:3 (2015), 366–377
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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