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Mathematics of the USSR-Sbornik, 1981, Volume 40, Issue 3, Pages 429–433
DOI: https://doi.org/10.1070/SM1981v040n03ABEH001836 (Mi sm2734) 		 
On the approximate construction of an implicit function

A. A. Fonarev
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DOI: https://doi.org/10.1070/SM1981v040n03ABEH001836
Abstract: The author considers an iterative projection method of constructing an implicit function under conditions that are satisfied in the standard implicit function theorem. It is shown that the method is applicable for finding solutions of equations under conditions analogous to those of the Newton–Kantorovich method.
Bibliography: 7 titles.
Received: 02.01.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 112(154), Number 3(7), Pages 467–471
Bibliographic databases:
UDC: 517.988.8
MSC: Primary 47H17; Secondary 65J15
Language: English
Original paper language: Russian
Citation: A. A. Fonarev, “On the approximate construction of an implicit function”, Mat. Sb. (N.S.), 112(154):3(7) (1980), 467–471; Math. USSR-Sb., 40:3 (1981), 429–433
Citation in format AMSBIB
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\by A.~A.~Fonarev
\paper On the approximate construction of an implicit function
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 112(154)
\issue 3(7)
\pages 467--471
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=582193}
\zmath{https://zbmath.org/?q=an:0513.47047|0466.47038}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 40
\issue 3
\pages 429--433
\crossref{https://doi.org/10.1070/SM1981v040n03ABEH001836}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MT96400007}
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  • https://www.mathnet.ru/eng/sm/v154/i3/p467
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    Russian version PDF:103
    English version PDF:12
    References:77
     
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