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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 217–225 (Mi timm915)  
Solution of a $2$-constrained pseudo-inversion problem by a relaxation method

N. L. Manokhina, R. A. Shafiev

Nizhny Novgorod State Pedagogical University
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Abstract: A regularizing algorithm based on the solution of the Cauchy problem for a second-order linear differential equation in a Hilbert space is proposed for solving a $2$-constrained pseudo-inversion problem. Conditions are found for the stabilization of a solution of the Cauchy problem to a normal solution of this problem in the case of perturbed input data.
Keywords: $2$-constrained pseudo-solution to an operator equation in a Hilbert space, normal $2$-constrained pseudo-solution, relaxation method, $2$-constrained pseudo-inversion problem.
Received: 20.06.2011
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: N. L. Manokhina, R. A. Shafiev, “Solution of a $2$-constrained pseudo-inversion problem by a relaxation method”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 217–225
Citation in format AMSBIB
\Bibitem{ManSha13}
\by N.~L.~Manokhina, R.~A.~Shafiev
\paper Solution of a~$2$-constrained pseudo-inversion problem by a~relaxation method
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 217--225
\mathnet{http://mi.mathnet.ru/timm915}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408376}
\elib{https://elibrary.ru/item.asp?id=18839280}
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