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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 42–48 (Mi znsl6051)  
This article is cited in 4 scientific papers (total in 4 papers)

Multiple solution of systems of linear algebraic equations by an iterative method with recomputed preconditioner

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

Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia
Full-text PDF (157 kB) Citations (4)
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Abstract: An algorithm for multiple solution of systems of linear algebraic equations by preconditioned BiCGStab method is proposed. When the number of iterations for solving a current system becomes too large, the precontioner is recomputed. Results of numerical experiments on computing the capacitance matrices of a microstrip line in a wide range of its sizes, demonstrating the possibility of a considerable reduction of the total solution time, are presented.
Key words and phrases: computational costs, systems of linear algebraic equations, block LU decomposition, preconditioning, multiple solution, capacitance matrix, microstrip lines.
Received: 02.10.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 693–697
DOI: https://doi.org/10.1007/s10958-015-2392-7
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: R. R. Akhunov, S. P. Kuksenko, T. R. Gazizov, “Multiple solution of systems of linear algebraic equations by an iterative method with recomputed preconditioner”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 42–48; J. Math. Sci. (N. Y.), 207:5 (2015), 693–697
Citation in format AMSBIB
\Bibitem{AkhKukGaz14}
\by R.~R.~Akhunov, S.~P.~Kuksenko, T.~R.~Gazizov
\paper Multiple solution of systems of linear algebraic equations by an iterative method with recomputed preconditioner
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 42--48
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6051}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 693--697
\crossref{https://doi.org/10.1007/s10958-015-2392-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949623363}
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    • 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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