| Abstract: | Recently, Cao proposed a regularized deteriorated positive and skew-Hermitian splitting (RDPSS) preconditioner for the non-Hermitian nonsingular saddle point problem. In this paper, we consider applying RDPSS preconditioner tosolve the singular saddle point problem. Moreover, we propose a two-parameteraccelerated variant of the RDPSS (ARDPSS) preconditioner to further improve itsefficiency. Theoretical analysis proves that the RDPSS and ARDPSS methods aresemi-convergent unconditionally. Some spectral properties of the corresponding preconditioned matrices are analyzed. Numerical experiments indicate that better performance can be achieved when applying the ARDPSS preconditioner to acceleratethe GMRES method for solving the singular saddle point problem. |
