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.
2017 Japan Society for Simulation Technology