TY - JOUR
T1 - Convergence Domains of AOR Type Iterative Matrices for Solving Non-Hermitian Linear Systems
JO - Journal of Computational Mathematics
VL - 6
SP - 817
EP - 832
PY - 2004
DA - 2004/12
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10287.html
KW - Convergence, AOR type iterative methods, Skew-Hermitian splitting, Hermitian splitting, Linear systems.
AB - <p style="text-align: justify;">We discuss AOR type iterative methods for solving non-Hermitian linear systems based on Hermitian splitting and skew-Hermitian splitting. Convergence domains of iterative matrices are given and optimal parameters are investigated for skew-Hermitian splitting. Numerical examples are presented to compare the effectiveness of the iterative methods in different points in the domain. In addition, a model problem of three-dimensional convection-diffusion equation is used to illustrate the application of our results. &nbsp;</p>