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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 6, Pages 1283–1297 (Mi zvmmf4467)  
This article is cited in 13 scientific papers (total in 13 papers)

The critical level of discrepancy in regularization methods

G. M. Vainikko

Tartu
Full-text PDF (1594 kB) Citations (13)
Abstract: A class of methods of solving linear ill-posed problems in Hilbert space is studied. The regularization parameter is chosen from the condition for the norm of the discrepancy to be equal to the level of accuracy in specifying the right-hand side of the equation. This choice of regularization parameter leads in certain cases to a convergent order-wise optimal process, and in others to a divergent process. The case of an approximately specified operator is also considered.
Received: 22.02.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 6, Pages 1–9
DOI: https://doi.org/10.1016/S0041-5553(83)80068-8
Bibliographic databases:
Document Type: Article
UDC: 517.988.68
MSC: Primary 65J10; Secondary 47A50
Language: Russian
Citation: G. M. Vainikko, “The critical level of discrepancy in regularization methods”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983), 1283–1297; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 1–9
Citation in format AMSBIB
\Bibitem{Vai83}
\by G.~M.~Vainikko
\paper The critical level of discrepancy in regularization methods
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 6
\pages 1283--1297
\mathnet{http://mi.mathnet.ru/zvmmf4467}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=731234}
\zmath{https://zbmath.org/?q=an:0542.65031}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 6
\pages 1--9
\crossref{https://doi.org/10.1016/S0041-5553(83)80068-8}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i6/p1283
    • This publication is cited in the following 13 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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