An improved SSOR-like(ISSOR-like)preconditioner is proposed for the non-Hermitian positive definite linear system with a dominant skew-Hermitian part.The upper and lower bounds on the real and imaginary parts of the e...An improved SSOR-like(ISSOR-like)preconditioner is proposed for the non-Hermitian positive definite linear system with a dominant skew-Hermitian part.The upper and lower bounds on the real and imaginary parts of the eigenvalues of the ISSOR-like preconditioned matrix and the convergence property of the corresponding ISSOR-like iteration method are discussed in depth.Numerical experiments show that the ISSOR-like preconditioner can effectively accelerate preconditioned GMRES.展开更多
文摘An improved SSOR-like(ISSOR-like)preconditioner is proposed for the non-Hermitian positive definite linear system with a dominant skew-Hermitian part.The upper and lower bounds on the real and imaginary parts of the eigenvalues of the ISSOR-like preconditioned matrix and the convergence property of the corresponding ISSOR-like iteration method are discussed in depth.Numerical experiments show that the ISSOR-like preconditioner can effectively accelerate preconditioned GMRES.
