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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 4, Pages 822–829 (Mi zvmmf5375)  
A non-linear regularizing algorithm and some of its applications

V. N. Trushnikov

Tomsk
Full-text PDF (763 kB)
Abstract: A non-linear iterative process is described for solving equations of the 1st kind in Hilbert space; the process is stable with respect to disturbances of the operator and right-hand side of the equation. A modification of the process is shown to be a Tikhonov regularizing algorithm.
Received: 27.04.1978
Revised: 09.11.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 4, Pages 22–31
DOI: https://doi.org/10.1016/0041-5553(79)90152-6
Bibliographic databases:
Document Type: Article
UDC: 517.988.6
MSC: Primary 65J10; Secondary 65R20, 45B05, 78A15, 78A35, 78A55
Language: Russian
Citation: V. N. Trushnikov, “A non-linear regularizing algorithm and some of its applications”, Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979), 822–829; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 22–31
Citation in format AMSBIB
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\by V.~N.~Trushnikov
\paper A~non-linear regularizing algorithm and some of its applications
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 4
\pages 822--829
\mathnet{http://mi.mathnet.ru/zvmmf5375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=544745}
\zmath{https://zbmath.org/?q=an:0416.65041}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 4
\pages 22--31
\crossref{https://doi.org/10.1016/0041-5553(79)90152-6}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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