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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 12, Pages 20–31 (Mi ivm7157)  
This article is cited in 12 scientific papers (total in 12 papers)

The global search in the Tikhonov scheme

M. Yu. Kokurin

Chair of Mathematical Analysis and Theory of Functions, Mari State University, Ioshkar-Ola, Russia
Full-text PDF (208 kB) Citations (12)
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Abstract: The goal of this paper is to justify a general scheme for constructing two-stage iterative solution processes for irregular nonlinear operator equations based on the sequential approximate minimization of locally strongly convex Tikhonov functionals.
Keywords: ill-posed problem, Tikhonov scheme, global optimization, local strong convexity, source-wise representation.
Received: 12.05.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 12, Pages 17–26
DOI: https://doi.org/10.3103/S1066369X10120029
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: M. Yu. Kokurin, “The global search in the Tikhonov scheme”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 20–31; Russian Math. (Iz. VUZ), 54:12 (2010), 17–26
Citation in format AMSBIB
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\by M.~Yu.~Kokurin
\paper The global search in the Tikhonov scheme
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 12
\pages 20--31
\mathnet{http://mi.mathnet.ru/ivm7157}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814575}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 12
\pages 17--26
\crossref{https://doi.org/10.3103/S1066369X10120029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952841831}
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    • This publication is cited in the following 12 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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