id: 02232758 dt: j an: 02232758 au: Moriya, K.; Nodera, T. ti: Computing the preconditioner for the Schur complement. so: ANZIAM J. 46C, Proc. 2004, C394-C408, electronic only (2005). py: 2005 pu: Australian Mathematical Society; Cambridge University Press, Cambridge la: EN cc: ut: Schur complement; inverse preconditioner; Newton scheme; matrix-vector product ci: li: http://anziamj.austms.org.au/V46/CTAC2004/Mori/ ab: Summary: 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. rv: