A generalized modified SOR-like method for the singular saddle point problems |
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Authors: | Hong-Tao Fan Xin-Yun Zhu Bing Zheng |
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Affiliation: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou,China;2.Department of Mathematics,University of Texas of the Permian Basin,Odessa,USA |
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Abstract: | Recently, Guo et al. proposed a modified SOR-like (MSOR-like) iteration method for solving the nonsingular saddle point problem. In this paper, we further prove the semi-convergence of this method when it is applied to solve the singular saddle point problems under suitable conditions on the involved iteration parameters. Moreover, the optimal iteration parameters and the corresponding optimal semi-convergence factor for the MSOR-like method are determined. In addition, numerical experiments are used to show the feasibility and effectiveness of the MSOR-like method for solving singular saddle point problems, arising from the incompressible flow problems. |
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