Computing the preconditioner for the Schur complement

K. Moriya, T. Nodera

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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 languageEnglish
JournalANZIAM Journal
Volume46
Issue number5 ELECTRONIC SUPPL.
Publication statusPublished - 2004

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ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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Moriya, K., & Nodera, T. (2004). Computing the preconditioner for the Schur complement. ANZIAM Journal, 46(5 ELECTRONIC SUPPL.).