TY - JOUR T1 - The Multi-Parameters Overrelaxation Method AU - Li , Wen AU - You , Zhaoyong JO - Journal of Computational Mathematics VL - 4 SP - 367 EP - 374 PY - 1998 DA - 1998/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9167.html KW - GMPOR iterative method, convergence, comparison theorem, Stein-Rosenberg theorem. AB -

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.