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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 2, Pages 208–223
DOI: https://doi.org/10.7868/S004446691602006X (Mi zvmmf10338) 		 
Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm

A. A. Dryazhenkov, M. M. Potapov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia
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DOI: https://doi.org/10.7868/S004446691602006X
Abstract: An algorithm for solving a quadratic minimization problem on an ellipsoidal set in a Hilbert space is proposed. The algorithm is stable to nonuniform perturbations of the operators. A key condition for its application is that we know an estimate for the norm of the exact solution. Applications to boundary control problems for the one-dimensional wave equation are considered. Numerical results are presented.
Key words: numerical method, quadratic minimization, ellipsoidal constraint, approximate data, stability, convergence.
Received: 21.04.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 2, Pages 206–220
DOI: https://doi.org/10.1134/S0965542516020068
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: A. A. Dryazhenkov, M. M. Potapov, “Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 208–223; Comput. Math. Math. Phys., 56:2 (2016), 206–220
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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