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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 42–48
(Mi znsl6051)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl6051 https://www.mathnet.ru/eng/znsl/v428/p42
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Abstract page: | 206 | Full-text PDF : | 53 | References: | 30 |
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