In this paper, first, we present the comparison theorem and the (generalized) Stein-Rosenberg theorem for the GMPOR method, which improves some recent results([9,11,13]). Second, we also give the convergent theorem of...In this paper, first, we present the comparison theorem and the (generalized) Stein-Rosenberg theorem for the GMPOR method, which improves some recent results([9,11,13]). Second, we also give the convergent theorem of the GMPOR method, which generalizes the corresponding result of [9]. Finally, we provide the real interval such that the generalized extrapolated Jacobi iterative method and the generalized SOR methods simultaneously converge, one of the main results in [1] is extended.展开更多
The paper discusses H-splitting and H-compatible splitting furthermore, some properties are given. Asynchronous parallel multisplitting algorithm and its generalization for linear systems Ax = b are established. Conve...The paper discusses H-splitting and H-compatible splitting furthermore, some properties are given. Asynchronous parallel multisplitting algorithm and its generalization for linear systems Ax = b are established. Convergence of these algorithms is proved under given conditions. The convergent range of relaxation factor omega is given, numerical example is shown.展开更多
文摘In this paper, first, we present the comparison theorem and the (generalized) Stein-Rosenberg theorem for the GMPOR method, which improves some recent results([9,11,13]). Second, we also give the convergent theorem of the GMPOR method, which generalizes the corresponding result of [9]. Finally, we provide the real interval such that the generalized extrapolated Jacobi iterative method and the generalized SOR methods simultaneously converge, one of the main results in [1] is extended.
文摘The paper discusses H-splitting and H-compatible splitting furthermore, some properties are given. Asynchronous parallel multisplitting algorithm and its generalization for linear systems Ax = b are established. Convergence of these algorithms is proved under given conditions. The convergent range of relaxation factor omega is given, numerical example is shown.
