Performance Evaluation of Rutishauser Type of BiCGSafe Method for Solving Linear Systems in Various Numerical Simulations

Abstract

  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.