Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 5, Pages 1097–1106 (Mi zvmmf5323)  
The convergence of a procedure for calculating an approximate solution in the generalized Kantorovich method

E. D. Viktorov

Leningrad
Full-text PDF (914 kB)
Abstract: Normwise approximation of a given element of functional Hilbert space by a sum of products of functions of only a single variable is considered. The iterative sequence of solutions, of equations derived from the necessary conditions for error norm minimization, is shown to be compact if the norm has special properties.
Received: 29.05.1978
Revised: 09.02.1979
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 5, Pages 8–17
DOI: https://doi.org/10.1016/0041-5553(79)90093-4
Bibliographic databases:
Document Type: Article
UDC: 517.988.8
MSC: Primary 65N30; Secondary 65J10, 31A30, 35J40, 74B99
Language: Russian
Citation: E. D. Viktorov, “The convergence of a procedure for calculating an approximate solution in the generalized Kantorovich method”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979), 1097–1106; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 8–17
Citation in format AMSBIB
\Bibitem{Vik79}
\by E.~D.~Viktorov
\paper The convergence of~a~procedure for calculating an~approximate solution in~the generalized Kantorovich method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 5
\pages 1097--1106
\mathnet{http://mi.mathnet.ru/zvmmf5323}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=550096}
\zmath{https://zbmath.org/?q=an:0438.65097}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 5
\pages 8--17
\crossref{https://doi.org/10.1016/0041-5553(79)90093-4}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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