  Recently, in (M. Masoudi, D.K. Salkuyeh, An extension of positive-definite
and skew-Hermitian splitting method for preconditioning of generalized saddle
point problems, Computers \& Mathematics with Application,
https://doi.org/10.1016/j.camwa.2019.10.030, 2019) an extension of the positive
definite and skew-Hermitian splitting (EPSS) iteration method for nonsingular
generalized saddle point problems has been presented. In this article, we study
semi-convergence of the EPSS method for singular generalized saddle problems.
Then a special case of EPSS (SEPSS) preconditioner is applied to the
nonsingular generalized saddle point problems. Some numerical results are
presented to show the effectiveness of the preconditioner.
