## A class of nonsymmetric preconditioners for saddle point problems (2004)

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Venue: | Scientific Computing and Computational Mathematics, Stanford University, of Saddle Point Problems 77 |

Citations: | 1 - 1 self |

### BibTeX

@TECHREPORT{Botchev04aclass,

author = {Mike A. Botchev and Gene and H. Golub},

title = {A class of nonsymmetric preconditioners for saddle point problems},

institution = {Scientific Computing and Computational Mathematics, Stanford University, of Saddle Point Problems 77},

year = {2004}

}

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### Abstract

Abstract. For iterative solution of saddle point problems, a nonsymmetric preconditioning is studied which, with respect to the upper-left block of the system matrix, can be seen as a variant of SSOR. An idealized situation where the SSOR is taken with respect to the skew-symmetric part plus the diagonal part of the upper-left block is analyzed in detail. Since action of the preconditioner involves solution of a Schur complement system, an inexact form of the preconditioner can be of interest. This results in an inner-outer iterative process. Numerical experiments with solution of linearized Navier-Stokes equations demonstrate efficiency of the new preconditioner, especially when the left-upper block is far from symmetric.