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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 419, Pages 16–25 (Mi znsl5735)  

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

Multiple iterative solution of linear algebraic systems with a partially varying matrix

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

Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia
Full-text PDF (238 kB) Citations (8)
References:
Abstract: An iterative algorithm for solving a series of linear algebraic systems with a partially varying coefficient matrix is suggested. Simple formulas for evaluating the speed up obtained are derived and used in choosing the related parameters. As examples, the choice of the drop tolerance and of the initial guess are considered. Multiple solution of linear systems of orders 708, 1416, 3540, and 4425 arising in computing (by the method of moments) the electric capacity of two stripes on a dielectric layer above a perfect conductive plane in the range of dielectric permeability is analyzed. As compared with the Gauss method, a 49 times speed up in solving 1000 linear systems of order 4425 is achieved.
Key words and phrases: multiple solution, linear algebraic system, iterative method, preconditioning.
Received: 02.04.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 4, Pages 381–385
DOI: https://doi.org/10.1007/s10958-014-1865-4
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: R. R. Akhunov, S. P. Kuksenko, V. K. Salov, T. R. Gazizov, “Multiple iterative solution of linear algebraic systems with a partially varying matrix”, Computational methods and algorithms. Part XXVI, Zap. Nauchn. Sem. POMI, 419, POMI, St. Petersburg, 2013, 16–25; J. Math. Sci. (N. Y.), 199:4 (2014), 381–385
Citation in format AMSBIB
\Bibitem{AkhKukSal13}
\by R.~R.~Akhunov, S.~P.~Kuksenko, V.~K.~Salov, T.~R.~Gazizov
\paper Multiple iterative solution of linear algebraic systems with a~partially varying matrix
\inbook Computational methods and algorithms. Part~XXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 419
\pages 16--25
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5735}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 4
\pages 381--385
\crossref{https://doi.org/10.1007/s10958-014-1865-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902341337}
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  • https://www.mathnet.ru/eng/znsl/v419/p16
  • 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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    Full-text PDF :56
    References:44
     
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