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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 11–21 (Mi zvmmf5397)  
This article is cited in 13 scientific papers (total in 14 papers)

Discrete convergence and finite-dimensional approximation of regularizing algorithms

V. V. Vasin

Sverdlovsk
Full-text PDF (1077 kB) Citations (14)
Abstract: For the linear operator equation of the 1st kind $Au=f$, the convergence of the general scheme of finite-dimensional approximation (discretization) of the Tikhonov-regularized family of approximate solutions is examined, along with the application of this scheme to projection and quadrative methods.
Received: 20.06.1977
Revised: 30.08.1977
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 8–19
DOI: https://doi.org/10.1016/0041-5553(79)90062-4
Bibliographic databases:
Document Type: Article
UDC: 519, 517.988.8
MSC: Primary 65J10; Secondary 65R20, 45L05
Language: Russian
Citation: V. V. Vasin, “Discrete convergence and finite-dimensional approximation of regularizing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 11–21; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 8–19
Citation in format AMSBIB
\Bibitem{Vas79}
\by V.~V.~Vasin
\paper Discrete convergence and finite-dimensional approximation of regularizing algorithms
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 11--21
\mathnet{http://mi.mathnet.ru/zvmmf5397}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525462}
\zmath{https://zbmath.org/?q=an:0406.65027}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 8--19
\crossref{https://doi.org/10.1016/0041-5553(79)90062-4}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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