日本シミュレーション学会論文誌
Online ISSN : 1883-5058
Print ISSN : 1883-5031
ISSN-L : 1883-5058
論文
工学シミュレーションで現れる対称問題に対する前処理つきKrylov部分空間法の選択
藤野 清次中嶋 徳正
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ジャーナル フリー

2017 年 9 巻 3 号 p. 67-72

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抄録
  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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