| Article ID: | iaor20122835 |
| Volume: | 59 |
| Issue: | 4 |
| Start Page Number: | 561 |
| End Page Number: | 569 |
| Publication Date: | Apr 2012 |
| Journal: | Numerical Algorithms |
| Authors: | Cao Zhi-Hao |
| Keywords: | numerical analysis |
In this note, as a generalization of the preconditioner presented by Greif et al. (2006), we consider a set of augmentation block Schur complement preconditioners for solving saddle point systems whose coefficient matrices have singular (1,1) blocks. The spectral properties of the preconditioned matrices are analyzed and an optimal preconditioner is derived.