A generalization of parameterized block triangular preconditioners for generalized saddle point problems

In this paper, we consider a generalization of parameterized block triangular preconditioners for the generalized saddle point problems. The eigenvalue bounds for the preconditioned matrices are derived. Theoretical analysis shows that it slightly improves the existing results in the literature. Numerical experiments are given to show the efficiency of the GMRES with the generalized block triangular preconditioners.