In this paper we concern the convergence regions and the optimal parameters for linear second-degree stationary iterative methods applied to complex linear system with the help of the generalized Louts-Hurwitz’s theo...In this paper we concern the convergence regions and the optimal parameters for linear second-degree stationary iterative methods applied to complex linear system with the help of the generalized Louts-Hurwitz’s theorem. We show that the Chebyshev iteration is asymptotically equivalent to a linear second-degree stationary iteration. Finally some applications to CSOR and CMSOR are presented.展开更多
文摘In this paper we concern the convergence regions and the optimal parameters for linear second-degree stationary iterative methods applied to complex linear system with the help of the generalized Louts-Hurwitz’s theorem. We show that the Chebyshev iteration is asymptotically equivalent to a linear second-degree stationary iteration. Finally some applications to CSOR and CMSOR are presented.
