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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 4, Pages 1036–1040 (Mi zvmmf5372)  
Scientific communications

On the optimal statistical regularization of operator equations with a constraint on the norm of the solution

V. A. Romanov, V. N. Mizgailov, V. V. Mukhin

Gomel'
Full-text PDF (467 kB)
Abstract: The construction of the optimal regularizing operator with a constraint on the norm of the solution is considered for the linear incorrect equation $Ax = f$ with an approximately specified positive self-conjugate operator $A$ and right side $f$.
Received: 18.07.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 4, Pages 252–255
DOI: https://doi.org/10.1016/0041-5553(79)90172-1
Bibliographic databases:
Document Type: Article
UDC: 517.988.8
MSC: Primary 47A50; Secondary 60H25, 65J10
Language: Russian
Citation: V. A. Romanov, V. N. Mizgailov, V. V. Mukhin, “On the optimal statistical regularization of operator equations with a constraint on the norm of the solution”, Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979), 1036–1040; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 252–255
Citation in format AMSBIB
\Bibitem{RomMizMuk79}
\by V.~A.~Romanov, V.~N.~Mizgailov, V.~V.~Mukhin
\paper On~the optimal statistical regularization of~operator equations with a~constraint on~the norm of~the solution
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 4
\pages 1036--1040
\mathnet{http://mi.mathnet.ru/zvmmf5372}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=544765}
\zmath{https://zbmath.org/?q=an:0427.47006}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 4
\pages 252--255
\crossref{https://doi.org/10.1016/0041-5553(79)90172-1}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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