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Convergence Analysis of the Splitting-Based Iterative Method for Solving Generalized Saddle Point Problems

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Abstract

In this paper, we present a parameterized inexact Uzawa type method for solving a class of large sparse generalized saddle point problems, and analyze its convergence using a different approach from those utilized in the existing literature. Some numerical results are given to illustrate the effectiveness of the proposed method.

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Acknowledgements

The authors are very grateful to the referees and the editor for their invaluable comments and suggestions, which greatly improve the quality of this paper. This work was supported by the National Natural Science Foundation of China (Grant no. 11961057), the Science and Technology Project of Gansu Province (Grant no. 21JR1RE287), the Fuxi Scientific Research Innovation Team of Tianshui Normal University (Grant no. FXD2020-03), and the Science Foundation (Grant nos. CXT2019-36, CXJ2020-11), as well as the Education and Teaching Reform Project of Tianshui Normal University (Grant nos. JY202004, JY203008).

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Correspondence to Maolin Liang.

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Dai, L., Liang, M. & Li, Q. Convergence Analysis of the Splitting-Based Iterative Method for Solving Generalized Saddle Point Problems. Mediterr. J. Math. 18, 247 (2021). https://doi.org/10.1007/s00009-021-01906-2

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  • DOI: https://doi.org/10.1007/s00009-021-01906-2

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