A generalization of parameterized inexact Uzawa method for singular saddle point problems

In this paper, we further study the generalized parameterized inexact Uzawa method for solving singular saddle point problems, obtaining the generalized parameterized inexact Uzawa (GPIU) method. Theoretical analysis shows that the semi-convergence of this new method can be guaranteed by suitable choices of the iteration parameters. Numerical experiments are used to demonstrate the feasibility and effectiveness of the generalized parameterized inexact Uzawa method for solving singular saddle point problems.