An MPI Implementation of the SPAI Preconditioner on the T3E

  • Authors:
  • Stephen T. Barnard;Luis M. Bernardo;Horst D. Simon

  • Affiliations:
  • NASA AMES Research Center, Moffett Field, California, U.S.A.;Lawrence Berkeley National Laboratory, Berkeley, California, U.S.A.;Lawrence Berkeley National Laboratory, Berkeley, California, U.S.A.

  • Venue:
  • International Journal of High Performance Computing Applications
  • Year:
  • 1999

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Abstract

The authors describe and test spai_1.1, a parallel MPI implementation of the sparse approximate inverse (SPAI) preconditioner. They show that SPAI can be very effective for solving a set of very large and difficult problems on a Cray T3E. The results clearly show the value of SPAI (and approximate inverse methods in general) as the viable alternative to ILU-type methods when facing very large and difficult problems. The authors strengthen this conclusion by showing that spai_1.1 also has very good scaling behavior.