A note on the positive stable block triangular preconditioner for generalized saddle point problems

作者：Cao, Yang; Jiang, Mei-Qun^*; Zheng, Ying-Long

来源：Applied Mathematics and Computation, 2012, 218(22): 11075-11082.

DOI：10.1016/j.amc.2012.05.003

• Preconditioner
• Generalized saddle point problems
• Eigenvalue

In this paper, we give a sharp eigenvalue bound for the positive stable block triangular preconditioned matrix presented in a recent paper by Cao [Z.-H. Cao, Positive stable block triangular preconditioners for symmetric saddle point problems, Appl. Numer. Math. 57 (2007) 899-910]. The intervals containing these eigenvalues of the preconditioned matrix remove the origin, which is benefit for further study. Numerical experiments of a model Stokes problem are presented to show the estimate and the effectiveness of the positive stable block triangular preconditioners.

• 出版日期2012-7-15
• 单位苏州大学; 南通大学