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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 196–207 (Mi znsl6061)  
This article is cited in 1 scientific paper (total in 1 paper)

Analytic evaluation of the computational costs for solving systems of linear algebraic equations in multiple computing of the capacitance matrix in a range of the dielectric permittivity of dielectrics

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

Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia
Full-text PDF (194 kB) Citations (1)
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Abstract: The effectiveness of using block LU-decomposition in multiple solution of systems of linear algebraic equations is analytically estimated. By numerical experiments it is demonstrated that a significant acceleration can be achieved.
Key words and phrases: computational expenses, linear algebraic system, block method, LU-decomposition, multiple calculation, capacitive matrix.
Received: 08.10.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 795–802
DOI: https://doi.org/10.1007/s10958-015-2402-9
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: R. S. Surovtsev, S. P. Kuksenko, T. R. Gazizov, “Analytic evaluation of the computational costs for solving systems of linear algebraic equations in multiple computing of the capacitance matrix in a range of the dielectric permittivity of dielectrics”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 196–207; J. Math. Sci. (N. Y.), 207:5 (2015), 795–802
Citation in format AMSBIB
\Bibitem{SurKukGaz14}
\by R.~S.~Surovtsev, S.~P.~Kuksenko, T.~R.~Gazizov
\paper Analytic evaluation of the computational costs for solving systems of linear algebraic equations in multiple computing of the capacitance matrix in a~range of the dielectric permittivity of dielectrics
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 196--207
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6061}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 795--802
\crossref{https://doi.org/10.1007/s10958-015-2402-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949625310}
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  • https://www.mathnet.ru/eng/znsl/v428/p196
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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