East Asian J. Appl. Math., 7 (2017), pp. 211-226.
Published online: 2018-02
Cited by
- BibTex
- RIS
- TXT
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} }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.