Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (756 kB)
References:
PDF
HTML
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
\Bibitem{DryPot16}
\by A.~A.~Dryazhenkov, M.~M.~Potapov
\paper Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 2
\pages 208--223
\mathnet{http://mi.mathnet.ru/zvmmf10338}
\crossref{https://doi.org/10.7868/S004446691602006X}
\elib{https://elibrary.ru/item.asp?id=25343610}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 2
\pages 206--220
\crossref{https://doi.org/10.1134/S0965542516020068}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000373669000004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962641828}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10338
  • https://www.mathnet.ru/eng/zvmmf/v56/i2/p208
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:318
    Full-text PDF :66
    References:99
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024