Xu, Peng-Bo; Zhang, Nai-Min; Li, Jing; Chen, Yuan A modified GPIU method for singular saddle point problems. (English) Zbl 1400.65021 J. Fuzzy Math. 25, No. 2, 499-508 (2017). Summary: In this paper, for solving singular saddle point problems, we extend the generalized parameterized inexact Uzawa (GPIU) method, that is, we propose a modified version of the GPIU (MGPIU) method by introducing two new factors. We give the semi-convergence analysis of the MGPIU method and prove the semi-convergence result by verifying two necessary and sufficient conditions. Since the MGPIU method covers the GPIU method, then with some proper factors, the MGPIU method may semi-converges faster than the GPIU method for solving singular saddle point problems. MSC: 65F10 Iterative numerical methods for linear systems Keywords:singular linear systems; saddle point problems; iterative methods; semi-convergence PDFBibTeX XMLCite \textit{P.-B. Xu} et al., J. Fuzzy Math. 25, No. 2, 499--508 (2017; Zbl 1400.65021)