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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 248, Pages 242–246 (Mi znsl637)  
A convergence theorem for the Newton method

M. N. Yakovlev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (120 kB)
Abstract: The convergence of the Newton method is established dor equations of the form $Tx+F(x)=0$, where $T$ is an unbounded operator, and the Fréchet derivative $F'(u)$ of the operator $F(u)$ satisfies Hölder's condition.
Received: 03.11.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 4, Pages 3372–3375
DOI: https://doi.org/10.1007/BF02672781
Bibliographic databases:
UDC: 519
Language: Russian
Citation: M. N. Yakovlev, “A convergence theorem for the Newton method”, Computational methods and algorithms. Part XIII, Zap. Nauchn. Sem. POMI, 248, POMI, St. Petersburg, 1998, 242–246; J. Math. Sci. (New York), 101:4 (2000), 3372–3375
Citation in format AMSBIB
\Bibitem{Yak98}
\by M.~N.~Yakovlev
\paper A convergence theorem for the Newton method
\inbook Computational methods and algorithms. Part~XIII
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 248
\pages 242--246
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693209}
\zmath{https://zbmath.org/?q=an:0960.65068}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 4
\pages 3372--3375
\crossref{https://doi.org/10.1007/BF02672781}
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