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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 405, Pages 40–53 (Mi znsl5276)  
This article is cited in 6 scientific papers (total in 6 papers)

Optimization of the $\mathrm{ILU}(0)$ factorization algorithm with the use of compressed sparse row format

R. R. Akhunov, S. P. Kuksenko, V. K. Salov, T. R. Gazizov

Department of Television and Control, Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia
Full-text PDF (543 kB) Citations (6)
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Abstract: Improvements to the $\mathrm{ILU}(0)$ factorization algorithm for preconditioning linear algebraic systems with dense matrices are suggested. The preconditioner is stored in compressed sparse row format. On the example of the problem of computing the electrical capacity of two stripes, it is demonstrated that the modifications proposed provide for a significant reduction of the time for computing the $\mathrm{ILU}(0)$ preconditioner (up to 4 times) and for solving the preconditioned linear system (up to 2.5 times).
Key words and phrases: system of linear algebraic equations, sparse matrix, iterative methods, preconditioning, prefiltering.
Received: 02.05.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 191, Issue 1, Pages 19–27
DOI: https://doi.org/10.1007/s10958-013-1297-6
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: R. R. Akhunov, S. P. Kuksenko, V. K. Salov, T. R. Gazizov, “Optimization of the $\mathrm{ILU}(0)$ factorization algorithm with the use of compressed sparse row format”, Computational methods and algorithms. Part XXV, Zap. Nauchn. Sem. POMI, 405, POMI, St. Petersburg, 2012, 40–53; J. Math. Sci. (N. Y.), 191:1 (2013), 19–27
Citation in format AMSBIB
\Bibitem{AkhKukSal12}
\by R.~R.~Akhunov, S.~P.~Kuksenko, V.~K.~Salov, T.~R.~Gazizov
\paper Optimization of the $\mathrm{ILU}(0)$ factorization algorithm with the use of compressed sparse row format
\inbook Computational methods and algorithms. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 405
\pages 40--53
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5276}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029610}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 191
\issue 1
\pages 19--27
\crossref{https://doi.org/10.1007/s10958-013-1297-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884975104}
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  • https://www.mathnet.ru/eng/znsl/v405/p40
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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