A note on parameterized block triangular preconditioners for generalized saddle point problems

In this paper, based on the results presented by Jiang et al. [M.-Q. Jiang, Y. Cao, L.-Q. Yao, On parameterized block triangular preconditioners for generalized saddle point problems, Appl. Math. Comput. 216 (2010) 1777–1789], we consider an indefinite parameterized block triangular preconditioner for symmetric saddle point problems. The eigenvalue bound of the preconditioned matrix is discussed. Some presented results are improved. Numerical experiments are given to confirm our theoretical results.