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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2016, Volume 158, Book 1, Pages 106–116 (Mi uzku1355)  
This article is cited in 1 scientific paper (total in 1 paper)

On continuous regularization method for a constrained pseudoinverse problem with additional restrictions on input operators

R. A. Shafieva, E. A. Bondarb, I. Yu. Yastrebovac

a Nizhny Novgorod State Pedagogical University, Nizhny Novgorod, 603950 Russia
b Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, 603950 Russia
c Nizhny Novgorod State University, Nizhny Novgorod, 603950 Russia
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Abstract: A two-parameter continuous method of regularization is considered for a constrained pseudoinverse problem with generalized complementarity of the input operators. This method is based on stabilization of the solutions of differential equations in the Hilbert space. The already known general convergence conditions are specified. The major obtained result is that the parameter functions proved to be independent from each other. The stability of the method is established in the class of all possible constrained disturbances. A one-parameter continuous method of regularization is studied for the special case of the problem with additional input operators.
Keywords: normal constrained pseudosolution, operator equation, Hilbert space, constrained pseudoinverse problem, continuous method of regularization, generalized complementarity condition of operators, complementarity condition of operators.
Received: 09.09.2015
Bibliographic databases:
Document Type: Article
UDC: 517.983.54
Language: Russian
Citation: R. A. Shafiev, E. A. Bondar, I. Yu. Yastrebova, “On continuous regularization method for a constrained pseudoinverse problem with additional restrictions on input operators”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158, no. 1, Kazan University, Kazan, 2016, 106–116
Citation in format AMSBIB
\Bibitem{ShaBonYas16}
\by R.~A.~Shafiev, E.~A.~Bondar, I.~Yu.~Yastrebova
\paper On continuous regularization method for a~constrained pseudoinverse problem with additional restrictions on input operators
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2016
\vol 158
\issue 1
\pages 106--116
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1355}
\elib{https://elibrary.ru/item.asp?id=25848952}
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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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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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