@Article{EAJAM-7-211, author = {Yan Dou, Ai-Li Yang and Yu-Jiang Wu}, title = {A New Uzawa-Type Iteration Method for Non-Hermitian Saddle-Point Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {1}, pages = {211--226}, abstract = {
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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.290816.130117a}, url = {http://global-sci.org/intro/article_detail/eajam/10744.html} }