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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 10, Pages 1641–1647
DOI: https://doi.org/10.1134/S004446691910017X (Mi zvmmf10961) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The elimination problem in the least square method for a system of linear algebraic equations

L. F. Yukhno

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
Citations (1)
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DOI: https://doi.org/10.1134/S004446691910017X
Abstract: For an overdetermined system of linear algebraic equations, the elimination problem is considered, that is, the problem of calculating a given linear form of a solution of the system without calculating the solution itself. Importantly, this system can be inconsistent; thus, the solution obtained by the least square method is used, that is, the solution of the system is obtained after applying the first Gauss transformation. Under certain conditions, the value of the linear form does not depend on the choice of a solution of this system in the case of its nonunique solvability.
Key words: overdetermined system of linear algebraic equations, least square method, method of conjugate directions, numerical stability.
Received: 15.04.2019
Revised: 15.04.2019
Accepted: 10.06.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 10, Pages 1575–1581
DOI: https://doi.org/10.1134/S0965542519100166
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: L. F. Yukhno, “The elimination problem in the least square method for a system of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1641–1647; Comput. Math. Math. Phys., 59:10 (2019), 1575–1581
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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