## Optimization of the Hermitian and skewHermitian splitting iteration for saddle-point problems

Venue: | BIT |

Citations: | 19 - 16 self |

### BibTeX

@ARTICLE{Benzi_optimizationof,

author = {Michele Benzi and To Gene Golub and In Memoriam},

title = {Optimization of the Hermitian and skewHermitian splitting iteration for saddle-point problems},

journal = {BIT},

year = {},

pages = {881--900}

}

### Years of Citing Articles

### OpenURL

### Abstract

Abstract. This paper is concerned with a generalization of the Hermitian and skew-Hermitian (HSS) splitting iteration for solving positive definite, non-Hermitian linear systems. It is shown that the new scheme can outperform the standard HSS method in some situations and can be used as an effective preconditioner for certain linear systems in saddle point form. Numerical experiments using discretizations of incompressible flow problems demonstrate the effectiveness of the generalized HSS preconditioner.