TY - JOUR
T1 - Extrapolation Accelerated PRESB Method for Solving a Class of Block Two-by-Two Linear Systems
AU - Liao , Li-Dan
AU - Zhang , Guo-Feng
AU - Wang , Xiang
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 520
EP - 531
PY - 2020
DA - 2020/06
SN - 10
DO - http://doi.org/10.4208/eajam.280519.180120
UR - https://global-sci.org/intro/article_detail/eajam/16980.html
KW - PRESB preconditioner, two-by-two block matrix, spectral radius, iteration method, convergence factor.
AB - <p style="text-align: justify;">We use extrapolation acceleration technique to speed up the preconditioned
square block matrix splitting iteration method for two-by-two block linear systems. It
is shown that for relaxation parameter $ω$ = 4/3, the convergence factor of the iteration method under consideration is 1/3. This yields the robustness and efficiency of
the method. Numerical examples confirm the theoretical results and demonstrate the
effectiveness of the approach developed.</p>