Inspired by the idea of the parameterized shift-splitting (PSS), this paper presents a modified PSS (MPSS) preconditioner for the generalized nonsymmetric saddle point-type linear systems. All eigenvalues of the corresponding preconditioned matrix are proved to be clustered around 1. Meanwhile, the unconditional convergence of the MPSS iteration method is shown under certain conditions. The proposed method overcomes the shortfalls of the PSS iteration method in Zhang et al. (Math Biosci Eng 16:1021–1033, 2019) for a special case of the considered system. Numerical experiments are provided to validate the theoretical results and illustrate the effectiveness of the proposed preconditioner.

受参数化移位分裂（PSS）的启发，本文提出了一种针对广义非对称鞍点型线性系统的改进PSS（MPSS）预调节器。证明相应的预处理矩阵的所有特征值均聚在1附近。同时，在一定条件下显示了MPSS迭代方法的无条件收敛。所提出的方法克服了Zhang等人的PSS迭代方法的不足。（Math Biosci Eng 16：1021–1033，2019）针对所考虑系统的特殊情况。提供数值实验以验证理论结果并说明所提出的预处理器的有效性。