Transaction of the Japan Society for Simulation Technology
Online ISSN : 1883-5058
Print ISSN : 1883-5031
Paper
Selection of Preconditioned Krylov Subspace Methods Suited to Solution of Symmetric Problems Appear in Engineering Simulation
Seiji FujinoNorimasa Nakashima
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Volume 9 (2017) Issue 3 Pages 67-72

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Abstract

  A variety of Krylov subspace methods for solving linear systems with symmetric and nonsymmetric coefficient matrix have been proposed. For example, a Conjugate Gradient method, BiCGStab method, BiCGSafe method and Generalized Minimal RESidual method and so on are listed. Moreover, many preconditioning techniques have been also proposed by a lot of researchers. In this paper, we focus on preconditioned Krylov iterative method for efficiently solving linear systems with symmetric coefficient matrix which appear in engineering simulations. As a result, it turned out that MrsR method with DRRIC preconditioning can efficiently solve structural symmetric problems in engineering simulation.

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© 2017 Japan Society for Simulation Technology
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