### 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 |
---|---|

Journal | ANZIAM Journal |

Volume | 46 |

Issue number | 5 ELECTRONIC SUPPL. |

Publication status | Published - 2004 |

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### ASJC Scopus subject areas

- Mathematics (miscellaneous)

### Cite this

*ANZIAM Journal*,

*46*(5 ELECTRONIC SUPPL.).

**Computing the preconditioner for the Schur complement.** / Moriya, K.; Nodera, T.

Research output: Contribution to journal › Article

*ANZIAM Journal*, vol. 46, no. 5 ELECTRONIC SUPPL..

}

TY - JOUR

T1 - Computing the preconditioner for the Schur complement

AU - Moriya, K.

AU - Nodera, T.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70549105929&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70549105929&partnerID=8YFLogxK

M3 - Article

VL - 46

JO - ANZIAM Journal

JF - ANZIAM Journal

SN - 1446-1811

IS - 5 ELECTRONIC SUPPL.

ER -