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Trudy Instituta Matematiki, 2011, Volume 19, Number 1, Pages 52–61 (Mi timb139)  
This article is cited in 1 scientific paper (total in 1 paper)

Regular smoothness and the Newton–Kantorovich method

P. P. Zabreiko, A. N. Tanyhina

Belarusian State University
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Abstract: The article deals with the Newton–Kantorovich method for solving nonlinear operator equations under the regular smoothness assumption. The main convergence theorem is proved by means of the majorant method of Kantorovich.
Received: 21.03.2011
Document Type: Article
UDC: 517.988
Language: Russian
Citation: P. P. Zabreiko, A. N. Tanyhina, “Regular smoothness and the Newton–Kantorovich method”, Tr. Inst. Mat., 19:1 (2011), 52–61
Citation in format AMSBIB
\Bibitem{ZabTan11}
\by P.~P.~Zabreiko, A.~N.~Tanyhina
\paper Regular smoothness and the Newton--Kantorovich method
\jour Tr. Inst. Mat.
\yr 2011
\vol 19
\issue 1
\pages 52--61
\mathnet{http://mi.mathnet.ru/timb139}
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  • https://www.mathnet.ru/eng/timb/v19/i1/p52
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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