Article ID Journal Published Year Pages File Type
4629415 Applied Mathematics and Computation 2012 8 Pages PDF
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
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