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Mat. Zametki, 1970, Volume 8, Issue 4, Pages 487–492 (Mi mz9612)  

Analog of the secant method for Banach spaces

V. A. Ogneva, V. M. Chern'yshenko

Dnepropetrovsk State University

Abstract: An analog of the secant method using successive approximations for an inverse operator is studied. This is a second-order method. The Newton–Kantorovich method of obtaining successive approximations for an inverse operator is a special case of the method discussed here.

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English version:
Mathematical Notes, 1970, 8:4, 742–745

Bibliographic databases:

UDC: 518
Received: 22.08.1969

Citation: V. A. Ogneva, V. M. Chern'yshenko, “Analog of the secant method for Banach spaces”, Mat. Zametki, 8:4 (1970), 487–492; Math. Notes, 8:4 (1970), 742–745

Citation in format AMSBIB
\Bibitem{OgnChe70}
\by V.~A.~Ogneva, V.~M.~Chern'yshenko
\paper Analog of the secant method for Banach spaces
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 4
\pages 487--492
\mathnet{http://mi.mathnet.ru/mz9612}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=290562}
\zmath{https://zbmath.org/?q=an:0208.14601}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 4
\pages 742--745
\crossref{https://doi.org/10.1007/BF01104375}


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