{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T22:53:56Z","timestamp":1777676036614,"version":"3.51.4"},"reference-count":12,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[1997,9,1]],"date-time":"1997-09-01T00:00:00Z","timestamp":873072000000},"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 Supercomputer Applications and High Performance Computing"],"published-print":{"date-parts":[[1997,9]]},"abstract":"<jats:p>In this paper, parallel extensions of a complete symmetric eigensolver, proposed by Yau and Lu in 1993, are pre sented. First, an overview of this invariant subspace decomposition method for dense symmetric matrices is given, followed by numerical results. Then, works are exposed in progress on distributed-memory implementa tion. The algorithm's heavy reliance on matrix-matrix mul tiplication, coupled with Fast Fourier Transform (FFT), should yield a highly parallelizable algorithm. Finally, performance results for the dominant computation kernel on the Intel Paragon are presented.<\/jats:p>","DOI":"10.1177\/109434209701100302","type":"journal-article","created":{"date-parts":[[2007,3,4]],"date-time":"2007-03-04T20:17:47Z","timestamp":1173039467000},"page":"197-204","source":"Crossref","is-referenced-by-count":0,"title":["Parallel Implementation of the Yau and Lu Method for Eigenvalue Computation"],"prefix":"10.1177","volume":"11","author":[{"given":"Fran\u00e7oise","family":"Tisseur","sequence":"first","affiliation":[{"name":"DEPARTMENT OF COMPUTER SCIENCE, UNIVERSITY OF TENNESSEE,\rKNOXVILLE, TN 37996-1301"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[1997,9,1]]},"reference":[{"key":"atypb1","volume-title":"LAPACK user's guide","author":"Anderson, E.","year":"1992"},{"key":"atypb2","volume-title":"LAPACK users' guide","author":"Anderson, E.","year":"1995","edition":"2"},{"key":"atypb3","volume-title":"Parallel performance of a symmetric eigensolver based on the invariant subspace decomposition approach. PRISM Working Note 15","author":"Bischof, C.","year":"1994"},{"key":"atypb4","volume-title":"Scalapack reference manual parallel factorization routines (LU, QR, and Cholesky) and parallel reduction routines (HDR, BRD, and TRD)","author":"Choi, J.","year":"1994"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396757"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/0908018"},{"key":"atypb7","volume-title":"Paper presented at the 4th EUROMICRO Workshop on Parallel and Distributed Processing","author":"Gim\u00e9nez, D."},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/0911013"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1109\/SHPCC.1992.232648"},{"key":"atypb10","volume-title":"Chebyshev polynomial: From approximation theory to algebraic and number theory. 2d","author":"Rivlin, T.J.","year":"1990"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(94)90316-6"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1137\/0914008"}],"container-title":["The International Journal of Supercomputer Applications and High Performance Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/109434209701100302","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/109434209701100302","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T08:17:28Z","timestamp":1777450648000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/109434209701100302"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,9]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1997,9]]}},"alternative-id":["10.1177\/109434209701100302"],"URL":"https:\/\/doi.org\/10.1177\/109434209701100302","relation":{},"ISSN":["1078-3482"],"issn-type":[{"value":"1078-3482","type":"print"}],"subject":[],"published":{"date-parts":[[1997,9]]}}}