THE MULTI-PARAMETERS OVERRELAXATION METHOD  

作　　者：Li, W You, ZY 

机构地区：[1]S China Normal Univ, Dept Math, Guangzhou, Peoples R China [2]Xian Jiao Tong Univ, Res Ctr Appl Math, Xian 710049, Peoples R China

出　　处：《Journal of Computational Mathematics》1998年第4期367-374,共8页计算数学（英文）

摘　　要：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.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.

关 键 词：GMPOR iterative method CONVERGENCE comparison theorem Stein-Rosenberg theorem 

分 类 号：O211[理学—概率论与数理统计]