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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 8, Pages 1241–1248
DOI: https://doi.org/10.7868/S0044466913080097 (Mi zvmmf9897) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Continuous first-order methods for monotone inclusions in a Hilbert space

I. P. Ryazantseva

Nizhny Novgorod State Technical University
Full-text PDF (206 kB) Citations (2)
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DOI: https://doi.org/10.7868/S0044466913080097
Abstract: Equations in a Hilbert space that involve multivalued monotone mappings are examined. Solutions to such equations are understood in the inclusion sense. A continuous first-order method and its regularized version are constructed on the basis of the resolvent of the maximal monotone operator, and sufficient conditions for them to converge strongly are obtained.
Key words: numerical solution of operator equations, continuous first-order method, sufficient conditions for strong convergence.
Received: 02.04.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 8, Pages 1070–1077
DOI: https://doi.org/10.1134/S0965542513080095
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: I. P. Ryazantseva, “Continuous first-order methods for monotone inclusions in a Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013), 1241–1248; Comput. Math. Math. Phys., 53:8 (2013), 1070–1077
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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