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 Zap. Nauchn. Sem. POMI, 2014, Volume 428, Pages 32–41 (Mi znsl6050)

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

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.

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English version:
Journal of Mathematical Sciences (New York), 2015, 207:5, 686–692

Document Type: Article
UDC: 519.612

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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949626359} 

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This publication is cited in the following articles:
1. R. R. Akhunov, S. P. Kuksenko, T. R. Gazizov, “Multiple solution of systems of linear algebraic equations by an iterative method with recomputed preconditioner”, J. Math. Sci. (N. Y.), 207:5 (2015), 693–697
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