### Abstract

The Newton scheme is used to construct an approximate inverse preconditioner for the Schur complement. However, this scheme is very expensive because of the computation cost of the matrix-matrix product. In this paper, the computation cost of the Newton scheme is reduced by implementing the preconditioner implicitly using the matrix-vector product. We also show that such an implementation is less expensive than computing the preconditioner explicitly.

Original language | English |
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Pages (from-to) | C394-C408 |

Journal | ANZIAM Journal |

Volume | 46 |

Issue number | 5 ELECTRONIC SUPPL. |

Publication status | Published - 2004 Dec 1 |

### ASJC Scopus subject areas

- Mathematics (miscellaneous)

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## Cite this

Moriya, K., & Nodera, T. (2004). Computing the preconditioner for the Schur complement.

*ANZIAM Journal*,*46*(5 ELECTRONIC SUPPL.), C394-C408.