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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 32–41 (Mi znsl6050)  

This article is cited in 4 scientific papers (total in 4 papers)

Acceleration of multiple iterative solution of linear algebraic systems in computing the capacitance of a microstrip line in a wide range of its sizes

R. R. Akhunov, S. P. Kuksenko, T. R. Gazizov

Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia
Full-text PDF (437 kB) Citations (4)
References:
Abstract: Multiple solution of systems of linear algebraic equations by the BiCGStab method is considered. For the problem of computing the capacitance matrix of a microstrip line in a range of its sizes, two acceleration methods are suggested. The first one consists in using the solution of a previous system as the initial guess for the current system. The second one consists in applying to all systems a preconditioner computed for the first system. The efficiency of these acceleration methods in solving a large series of linear systems with small changes in arbitrary matrix entries is demonstrated on numerical experiments.
Key words and phrases: multiple solution, linear algebraic system, iterative method, preconditioning, initial guess, capacitance matrix, microstrip line, variation of sizes.
Received: 28.08.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 686–692
DOI: https://doi.org/10.1007/s10958-015-2391-8
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: R. R. Akhunov, S. P. Kuksenko, T. R. Gazizov, “Acceleration of multiple iterative solution of linear algebraic systems in computing the capacitance of a microstrip line in a wide range of its sizes”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 32–41; J. Math. Sci. (N. Y.), 207:5 (2015), 686–692
Citation in format AMSBIB
\Bibitem{AkhKukGaz14}
\by R.~R.~Akhunov, S.~P.~Kuksenko, T.~R.~Gazizov
\paper Acceleration of multiple iterative solution of linear algebraic systems in computing the capacitance of a~microstrip line in a~wide range of its sizes
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 32--41
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6050}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 686--692
\crossref{https://doi.org/10.1007/s10958-015-2391-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949626359}
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  • https://www.mathnet.ru/eng/znsl/v428/p32
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:163
    Full-text PDF :35
    References:37
     
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