Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629415 | Applied Mathematics and Computation | 2012 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yang Cao, Mei-Qun Jiang, Ying-Long Zheng,