Abstract: This paper proposes preconditioned modified AHSS method for a class of complex singular saddle point problems. It studies the semi-convergence of the proposed new method. For any positive iteration parameters, it obtains the semi-
convergence theorems of the proposed new method. Nnumerical experiments show that the effectiveness of the algorithm outperforms the HSS method.

Key words: complex singular saddle point problems, iteration method, Hermitian and Skew-Hermitian Splitting（HSS） method, semi-convergence

摘要： 提出了求解一类复奇异鞍点问题的预条件修正AHSS法。研究了所提出的新方法的半收敛性。对任意的正迭代参数，得到了所提出的新方法的半收敛定理。数值实验说明，新方法比HSS法求解鞍点问题时更有效。

关键词: 复奇异鞍点问题, 迭代法, 预条件艾尔米特和斜-艾尔米特分裂（HSS）法, 半收敛性