Indefinite block triangular preconditioner for symmetric saddle point problems

Authors:
Shi-Liang Wu;Cui-Xia Li
Affiliations:
School of Mathematics and Statistics, Anyang Normal University, Anyang, P.R. China 455000 and College of Mathematics, Chengdu University of Information Technology, Chengdu, P.R. China 610255;School of Mathematics and Statistics, Anyang Normal University, Anyang, P.R. China 455000
Venue:
Calcolo: a quarterly on numerical analysis and theory of computation
Year:
2013

Citing 18
Cited 1

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Abstract

In this paper, we consider an indefinite block triangular preconditioner for symmetric saddle point problems. The new eigenvalue distribution of the preconditioned matrix is derived and some corresponding results in Simoncini (Appl. Numer. Math. 49:63---80, 2004) and Wu et al. (Computing 84:183---208, 2009) are improved. Finally, numerical experiments of a model Stokes problem are reported.