TY - JOUR T1 - A Fast Shift-Splitting Iteration Method for Nonsymmetric Saddle Point Problems AU - Quan-Yu Dou, Jun-Feng Yin & Ze-Yu Liao JO - East Asian Journal on Applied Mathematics VL - 1 SP - 172 EP - 191 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.170616.311216a UR - https://global-sci.org/intro/article_detail/eajam/10742.html KW - Nonsymmetric saddle point problems, fast shift-splitting, convergence, semi-convergence. AB -

Based on the shift-splitting technique and the idea of Hermitian and skew-Hermitian splitting, a fast shift-splitting iteration method is proposed for solving nonsingular and singular nonsymmetric saddle point problems in this paper. Convergence and semi-convergence of the proposed iteration method for nonsingular and singular cases are carefully studied, respectively. Numerical experiments are implemented to demonstrate the feasibility and effectiveness of the proposed method.