Davod Khojasteh Salkuyeh - Department of Mathematics, University of Guilan, Rasht, Iran,
Mohsen Masoudi - Department of Mathematics, University of Guilan, Rasht, Iran,

Recently, in (M. Masoudi, D.K. Salkuyeh, An extension of the positive definite and skew- Hermitian splitting method for preconditioning of generalized saddle point problems, Computers & Mathematics with Application, 2019, In press) 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 singular generalized saddle point problems. Some numerical results are presented to show the effectiveness of the preconditioner.

Saddle point problems, EPSS method, preconditioner, semiconvergence.