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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

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

This article is cited 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.

UDC: 519.612

Received: 28.08.2014


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

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