Recently, an extension of the positive definite and skew-Hermitian splitting (EPSS) iteration method for nonsingular generalized saddle point problems has been stated by Masoudi and Salkuyeh. In this article, we study the semiconvergence of the EPSS method for singular generalized saddle problems. Then a special case of the EPSS (SEPSS) preconditioner is applied to accelerate the convergence of the GMRES method for solving singular generalized saddle point problems. Some numerical results are given to demonstrate the robustness of the preconditioner.

中文翻译：

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奇异广义鞍点问题的扩展 PSS 方法的半收敛

最近，Masoudi 和 Salkuyeh 提出了针对非奇异广义鞍点问题的正定和斜厄米特分裂 (EPSS) 迭代方法的扩展。在本文中，我们研究了 EPSS 方法在奇异广义鞍问题中的半收敛性。然后应用 EPSS (SEPSS) 预条件子的一个特例来加速解决奇异广义鞍点问题的 GMRES 方法的收敛。给出了一些数值结果来证明预处理器的鲁棒性。