種々の分野の数値シミュレーションで現れる線形方程式に対するRutishauserタイプのBiCGSafe法の性能評価

抄録

  A variety of Krylov subspace methods for solving linear systems with nonsymmetric coefficient matrix have been proposed by many researchers. For example, BiCGStab method, BiCGSafe method and Rutishauser type of GPBiCG method and so on are listed. In this paper, we focus on Rutishauser type of BiCGSafe method for solving linear systems with nonsymmetric coefficient matrix which appear in various engineering simulations. As a result, it turned out that our proposed variant of BiCGSafe method can stabilizedly solve nonsymmetric problems in engineering simulations.