{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,27]],"date-time":"2025-11-27T06:26:24Z","timestamp":1764224784408,"version":"3.38.0"},"reference-count":15,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[1999,5,1]],"date-time":"1999-05-01T00:00:00Z","timestamp":925516800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The International Journal of High Performance Computing Applications"],"published-print":{"date-parts":[[1999,5]]},"abstract":"<jats:p> 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. <\/jats:p>","DOI":"10.1177\/109434209901300202","type":"journal-article","created":{"date-parts":[[2005,3,8]],"date-time":"2005-03-08T19:23:53Z","timestamp":1110309833000},"page":"107-123","source":"Crossref","is-referenced-by-count":26,"title":["An MPI Implementation of the SPAI Preconditioner on the T3E"],"prefix":"10.1177","volume":"13","author":[{"given":"Stephen T.","family":"Barnard","sequence":"first","affiliation":[{"name":"NASA AMES Research Center, Moffett Field, California, U.S.A."}]},{"given":"Luis M.","family":"Bernardo","sequence":"additional","affiliation":[{"name":"Lawrence Berkeley National Laboratory, Berkeley, California, U.S.A."}]},{"given":"Horst D.","family":"Simon","sequence":"additional","affiliation":[{"name":"Lawrence Berkeley National Laboratory, Berkeley, California, U.S.A."}]}],"member":"179","published-online":{"date-parts":[[1999,5,1]]},"reference":[{"volume-title":"Proceedings of the Eighth SIAM Conference for Parallel Processing for Scientific Computing","author":"Barnard, S. 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