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 - <p style="text-align: justify;">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.</p>