A note on PSS preconditioners for generalized saddle point problems

In this note, the positive semidefinite and skew-Hermitian splitting (PSS) preconditioners introduced by Pan et al. (2006) [10] are further extended to the generalized saddle point problems with nonzero (2, 2) blocks. The model problem of Oseen equations is used to illustrate the presented spectral properties as well as the performance of the PSS preconditioner.