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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 11, Pages 53–67 (Mi ivm9175)  
This article is cited in 1 scientific paper (total in 1 paper)

Regularized continuous analog of the Newton method for monotone equations in the Hilbert space

I. P. Ryazantseva

R. E. Alekseev Nizhny Novgorod Technical University, 24 Minina str., Nizhny Novgorod, 603155 Russia
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Abstract: We construct regularized continuous analog of the Newton method in the Hilbert space for nonlinear equation with Frechét differentiable and monotone operator. We obtain sufficient conditions of its strong convergence to normal solution of the given equation under approximate assignment of an operator and right-hand of an equation.
Keywords: Hilbert space, monotone operator, Newton method, continuous method, convergence.
Received: 19.03.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 11, Pages 45–57
DOI: https://doi.org/10.3103/S1066369X16110050
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: I. P. Ryazantseva, “Regularized continuous analog of the Newton method for monotone equations in the Hilbert space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 11, 53–67; Russian Math. (Iz. VUZ), 60:11 (2016), 45–57
Citation in format AMSBIB
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\pages 53--67
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\issue 11
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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