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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 32–41
(Mi znsl6050)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl6050 https://www.mathnet.ru/eng/znsl/v428/p32
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Statistics & downloads: |
Abstract page: | 163 | Full-text PDF : | 35 | References: | 37 |
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