TY - JOUR T1 - A New Uzawa-Type Iteration Method for Non-Hermitian Saddle-Point Problems JO - East Asian Journal on Applied Mathematics VL - 1 SP - 211 EP - 226 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.290816.130117a UR - https://global-sci.org/intro/article_detail/eajam/10744.html KW - Saddle-point problems, Uzawa method, preconditioned shift-splitting, convergence, preconditioner. AB -

Based on a preconditioned shift-splitting of the (1, 1)-block of non-Hermitian saddle-point matrix and the Uzawa iteration method, we establish a new Uzawa-type iteration method. The convergence properties of this iteration method are analyzed. In addition, based on this iteration method, a preconditioner is proposed. The spectral properties of the preconditioned saddle-point matrix are also analyzed. Numerical results are presented to verify the robustness and the efficiency of the new iteration method and the preconditioner.