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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1735–1743 (Mi zvmmf393)  
This article is cited in 3 scientific papers (total in 3 papers)

An iterative regularization method for the 2-constrained pseudoinversion of an operator equation

V. E. Uvarov, R. A. Shafiev

Department of Mathematical Analysis, Nizhni Novgorod State Pedagogical University, ul. Ul'yanova 1, Nizhni Novgorod, 603950, Russia
Full-text PDF (810 kB) Citations (3)
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Abstract: An iterative regularization algorithm is proposed for solving a special optimization problem, the so-called 2-constrained operator pseudoinversion. The convergence of the algorithm is examined in the case of perturbed input data. An error estimate is derived, and an a priori choice of the regularization parameters is described. The algorithm is applied to an optimal control problem with minimal costs.
Key words: operator equations in Hilbert spaces, iterative regularization method, 2-constrained pseudo-inversion problem, numerical solution of optimal control problem.
Received: 23.03.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 10, Pages 1651–1659
DOI: https://doi.org/10.1134/S0965542506100034
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: V. E. Uvarov, R. A. Shafiev, “An iterative regularization method for the 2-constrained pseudoinversion of an operator equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1735–1743; Comput. Math. Math. Phys., 46:10 (2006), 1651–1659
Citation in format AMSBIB
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\by V.~E.~Uvarov, R.~A.~Shafiev
\paper An iterative regularization method for the 2-constrained pseudoinversion of an operator equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\issue 10
\pages 1735--1743
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\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 10
\pages 1651--1659
\crossref{https://doi.org/10.1134/S0965542506100034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750284266}
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    • This publication is cited in the following 3 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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    References:44
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