Semi-convergence analysis of the Uzawa-SOR methods for singular saddle point problems

Recently, Zhang and Shang proposed a class of Uzawa-SOR methods for solving the nonsingular saddle point problems; see Zhang and Shang (2010). In this paper, we give the semi-convergence analysis of this method when it is applied to solve the singular saddle point problems under some conditions. Finally, numerical experiments are presented to illustrate the feasibility and effectiveness of this method.