TY - JOUR
T1 - A Fast Shift-Splitting Method for Singular Generalized Saddle Point Problems
AU - Dou , Quan-Yu
AU - Liao , Ze-Yu
AU - Wang , Zeng-Qi
AU - Yin , Jun-Feng
JO - Journal of Mathematical Study
VL - 4
SP - 358
EP - 374
PY - 2018
DA - 2018/04
SN - 50
DO - http://doi.org/10.4208/jms.v50n4.17.05
UR - https://global-sci.org/intro/article_detail/jms/11323.html
KW - Shift-splitting iteration method, singular generalized saddle point problems, semi-convergence.
AB - <p style="text-align: justify;">For the iteration solution of singular generalized saddle point problems, a
fast shift-splitting iteration method based on shift-splitting technique and symmetric
and skew-symmetric splitting with respect to the upper-left block of the system matrix
is proposed in this paper. Semi-convergence of the proposed method is carefully
studied for singular case, and the conditions guaranteeing the semi-convergence are
derived. Numerical experiments of a class of linearized Navier-Stokes equations are
implemented to demonstrate the feasibility and effectiveness of the proposed method.</p>