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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 1, Pages 70–74 (Mi svmo580)  

Mathematics

On some method of regularization for monotone equations in Hilbert space

I. P. Ryazantseva

Nizhny Novgorod State Technical University
References:
Abstract: We study equations with monotone operators in Hilbert space with perturbed data. We construct for this ill-posed problem implicit iterative regularized method using continuous analogue of Newton method. In comparison with classical operator regularized method we introduce supplementary terms in right-hand side of regularized equation. By using a priori information of desired solution we choose initial approximation in this iterative method. We obtain sufficient conditions of strong convergence for propose method.
Keywords: monotone operator, approximate data, iterative method, regularization, convergence.
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: I. P. Ryazantseva, “On some method of regularization for monotone equations in Hilbert space”, Zhurnal SVMO, 18:1 (2016), 70–74
Citation in format AMSBIB
\Bibitem{Rya16}
\by I.~P.~Ryazantseva
\paper On some method of regularization for monotone equations in Hilbert space
\jour Zhurnal SVMO
\yr 2016
\vol 18
\issue 1
\pages 70--74
\mathnet{http://mi.mathnet.ru/svmo580}
\elib{https://elibrary.ru/item.asp?id=26322421}
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