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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 1, Pages 70–74
(Mi svmo580)
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Mathematics
On some method of regularization for monotone equations in Hilbert space
I. P. Ryazantseva Nizhny Novgorod State Technical University
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.
Citation:
I. P. Ryazantseva, “On some method of regularization for monotone equations in Hilbert space”, Zhurnal SVMO, 18:1 (2016), 70–74
Linking options:
https://www.mathnet.ru/eng/svmo580 https://www.mathnet.ru/eng/svmo/v18/i1/p70
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Abstract page: | 101 | Full-text PDF : | 32 | References: | 25 |
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