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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 9, Pages 1512–1523 (Mi zvmmf246)  
This article is cited in 2 scientific papers (total in 2 papers)

The Lagrange principle in the problem of optimal inversion of linear operators in finite-dimensional spaces with a priori information about its solution

A. V. Bayev

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (1402 kB) Citations (2)
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Abstract: The problem of solving a system of linear algebraic equations is examined. An application of the Lagrange principle to the optimal recovery in this problem is described. New optimal methods that use available information about the errors in the data and a priori information about the solution are proposed for solving such systems.
Key words: optimal recovery, system of linear algebraic equations.
Received: 22.12.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 9, Pages 1452–1463
DOI: https://doi.org/10.1134/S0965542507090072
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. V. Bayev, “The Lagrange principle in the problem of optimal inversion of linear operators in finite-dimensional spaces with a priori information about its solution”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007), 1512–1523; Comput. Math. Math. Phys., 47:9 (2007), 1452–1463
Citation in format AMSBIB
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\by A.~V.~Bayev
\paper The Lagrange principle in the problem of optimal inversion of linear operators in finite-dimensional spaces with a~priori information about its solution
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 9
\pages 1512--1523
\mathnet{http://mi.mathnet.ru/zvmmf246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2387660}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 9
\pages 1452--1463
\crossref{https://doi.org/10.1134/S0965542507090072}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848859222}
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  • https://www.mathnet.ru/eng/zvmmf246
  • https://www.mathnet.ru/eng/zvmmf/v47/i9/p1512
    • This publication is cited in the following 2 articles:
    1. A. V. Baev, “Vychislitelnye algoritmy dlya optimalnykh metodov resheniya lineinykh obratnykh zadach: primenenie optimalnogo vosstanovleniya”, Sib. elektron. matem. izv., 7 (2010), 163–172  mathnet
    2. A. V. Bayev, “Optimal recovery and finite-dimensional approximation in linear inverse problems”, Sb. Math., 199:12 (2008), 1735–1750  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    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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    Abstract page:365
    Full-text PDF :214
    References:88
    First page:1
     
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