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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 11, Pages 1933–1941 (Mi zvmmf80)  
This article is cited in 3 scientific papers (total in 3 papers)

An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution

A. V. Bayev

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (1110 kB) Citations (3)
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Abstract: A linear operator equation with a sourcewise represented exact solution is solved approximately. To this end, the method of extending compacts developed in an earlier work is applied. Based on this method, a new algorithm is proposed for recovering the value of a linear functional at the solution of the linear operator equation. This algorithm is shown to be an optimal regularizing one.
Key words: optimal recovery, method of extending compacts, optimal regularizing algorithm, linear operator equations.
Received: 17.07.2007
Revised: 26.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 11, Pages 1936–1944
DOI: https://doi.org/10.1134/S0965542508110031
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: A. V. Bayev, “An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008), 1933–1941; Comput. Math. Math. Phys., 48:11 (2008), 1936–1944
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    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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    Full-text PDF :110
    References:62
    First page:2
     
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