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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 463, Pages 224–239 (Mi znsl6514)  
This article is cited in 8 scientific papers (total in 8 papers)

Two-level least squares methods in Krylov subspaces

V. P. Il'inab

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (221 kB) Citations (8)
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Abstract: Two-level least squares acceleration approaches are applied to Chebyshev acceleration and conjugate residual method with restarts for solving systems of linear algebraic equations with sparse nonsymmetric matrices arising in finite volume or finite element approximations of boundary value problems on irregular grids. Application of the proposed idea to other iterative restarted processes also is considered. The efficiency of the algorithms proposed is investigated numerically on a set of model Dirichlet problems for the convection-diffusion equation.
Key words and phrases: sparse matrices, Krylov subspaces, two-level least squares methods, conjugate residual and Chebyshev acceleration methods, numerical experiments.
Funding agency Grant number
Russian Science Foundation 14-11-00485П
Russian Foundation for Basic Research 16-29-1522/17 офи-м
Received: 01.11.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 6, Pages 892–902
DOI: https://doi.org/10.1007/s10958-018-3916-8
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. P. Il'in, “Two-level least squares methods in Krylov subspaces”, Computational methods and algorithms. Part XXX, Zap. Nauchn. Sem. POMI, 463, POMI, St. Petersburg, 2017, 224–239; J. Math. Sci. (N. Y.), 232:6 (2018), 892–902
Citation in format AMSBIB
\Bibitem{Ili17}
\by V.~P.~Il'in
\paper Two-level least squares methods in Krylov subspaces
\inbook Computational methods and algorithms. Part~XXX
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 463
\pages 224--239
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6514}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 6
\pages 892--902
\crossref{https://doi.org/10.1007/s10958-018-3916-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049140027}
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  • https://www.mathnet.ru/eng/znsl/v463/p224
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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