Based on the modified preconditioned accelerated Hermitian and skew-Hermitian splitting (MPAHSS) and triangular splitting iterative (TSI) methods, this paper presents a new parameter setting to overcome the drawbacks of the MPAHSS-parameterized Uzawa (MPAHSS-PU) method proposed by Huang et al. (J Comput Appl Math 332:1–12, 2018) for sthe saddle point problems. A sufficient condition is provided to ensure the convergence of MPAHSS-PU method with the new parameter setting, and a selection strategy for its parameters is also given. The new parameter setting not only lessens the parameter limitation of the MPAHSS-PU method, but also improves its performance. The validity of the obtained results and the performance of MPAHSS-PU method with the new parameter setting are demonstrated by numerical examples.

基于改进的预处理加速埃尔米特和斜埃尔米特分裂（MPAHSS）和三角分裂迭代（TSI）方法，本文提出了一种新的参数设置，以克服Huang提出的MPAHSS参数化Uzawa（MPAHSS-PU）方法的缺点等。（J Comput Appl Math 332：1-12，2018）解决了鞍点问题。提供了充分的条件以确保MPAHSS-PU方法与新参数设置的收敛性，并给出了其参数的选择策略。新的参数设置不仅减轻了MPAHSS-PU方法的参数限制，而且提高了其性能。数值算例说明了所得结果的有效性以及采用新参数设置的MPAHSS-PU方法的性能。