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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1999, Volume 39, Number 2, Pages 195–203 (Mi zvmmf1729)  

This article is cited in 8 scientific papers (total in 8 papers)

Optimization of projection methods for linear ill-posed problems

S. G. Solodkii

Institute of Mathematics, Ukrainian National Academy of Sciences
References:
Received: 23.12.1997
Revised: 20.05.1998
Bibliographic databases:
Document Type: Article
UDC: 519.624.8
MSC: Primary 65J10; Secondary 47A52, 65J20
Language: Russian
Citation: S. G. Solodkii, “Optimization of projection methods for linear ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 39:2 (1999), 195–203; Comput. Math. Math. Phys., 39:2 (1999), 185–193
Citation in format AMSBIB
\Bibitem{Sol99}
\by S.~G.~Solodkii
\paper Optimization of projection methods for linear ill-posed problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1999
\vol 39
\issue 2
\pages 195--203
\mathnet{http://mi.mathnet.ru/zvmmf1729}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692810}
\zmath{https://zbmath.org/?q=an:0971.65046}
\transl
\jour Comput. Math. Math. Phys.
\yr 1999
\vol 39
\issue 2
\pages 185--193
Linking options:
  • https://www.mathnet.ru/eng/zvmmf1729
  • https://www.mathnet.ru/eng/zvmmf/v39/i2/p195
  • This publication is cited in the following 8 articles:
    1. Myleiko H.L. Solodkyi S.H., “Hyperbolic Cross and the Complexity of Various Classes of Ill-Posed Linear Problems”, Ukr. Math. J., 69:7 (2017), 1107–1122  crossref  mathscinet  isi  scopus
    2. Solodky S.G., Myleiko G.L., Semenova E.V., “Complexity Estimates For Severely Ill-Posed Problems Under a Posteriori Selection of Regularization Parameter”, Math. Model. Anal., 22:3 (2017), 283–299  crossref  mathscinet  isi  scopus
    3. Solodky S.G., Myleiko G.L., “on Optimization of Projection Methods For Solving Some Classes of Severely Ill-Posed Problems”, Appl. Anal., 95:4 (2016), 826–841  crossref  mathscinet  zmath  isi  elib  scopus
    4. Solodky S.G., Myleiko G.L., “On Optimal Selection of Galerkin'S Information For Solving Severely Ill-Posed Problems”, J. Numer. Appl. Math., 2:122 (2016), 92–105  isi
    5. Solodky S.G., Myleiko G.L., “The Minimal Radius of Galerkin Information For Severely Ill-Posed Problems”, J. Inverse Ill-Posed Probl., 22:5 (2014), 739–757  crossref  mathscinet  zmath  isi  elib  scopus
    6. E. V. Lebedeva, S. G. Solodkii, “Approximation of finite-section equations by piecewise constant functions”, Comput. Math. Math. Phys., 48:5 (2008), 693–706  mathnet  crossref  mathscinet  zmath  isi
    7. Solodky S.G., Lebedeva E.V., “On piecewise-constant discretization in the finite interval method”, Doklady Mathematics, 76:2 (2007), 786–789  crossref  mathscinet  isi  elib  scopus
    8. S. G. Solodkii, “A discretization scheme for the Landweber method”, Comput. Math. Math. Phys., 44:3 (2004), 363–372  mathnet  mathscinet  zmath
    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
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