{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T05:19:59Z","timestamp":1740028799155,"version":"3.37.3"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540628286"},{"type":"electronic","value":"9783540686996"}],"license":[{"start":{"date-parts":[[1997,1,1]],"date-time":"1997-01-01T00:00:00Z","timestamp":852076800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1997]]},"DOI":"10.1007\/3-540-62828-2_117","type":"book-chapter","created":{"date-parts":[[2010,4,5]],"date-time":"2010-04-05T19:22:49Z","timestamp":1270495369000},"page":"140-153","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Parallel implementation of a symmetric eigensolver based on the Yau and Lu method"],"prefix":"10.1007","author":[{"given":"St\u00e9phane","family":"Domas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fran\u00e7oise","family":"Tisseur","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,8,5]]},"reference":[{"key":"9_CR1","volume-title":"LAPACK Users' Guide, Release 2.0.","author":"E. Anderson","year":"1995","unstructured":"E. Anderson, Z. Bai, C. H. Bischof, J. W. Demmel, J. J. Dongarra, J. J. Du Croz. A. Greenbaum, S. J. Hammarling, A. McKenney, S. Ostrouchov, and D. C. Sorensen. LAPACK Users' Guide, Release 2.0. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, second edition, 1995.","edition":"second edition"},{"key":"9_CR2","volume-title":"Technical report","author":"C. Bischof","year":"1995","unstructured":"Christian Bischof, William George, Steven Huss-Lederman, Xiaobai Sun, Anna Tsao, and Thomas Turnbull. SYISDA users' guide, Version 2.0. Technical report, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, USA, 1995."},{"key":"9_CR3","doi-asserted-by":"crossref","unstructured":"Christian Bischof, Steven Huss-Lederman, Xiaobai Sun, Anna Tsao, and Thomas Turnbull. Parallel performance of a symmetric eigensolver based on the invariant subspace decomposition approach. In proceedings of Scalable High Performance Computing Conference'94, Knoxville, Tennessee, pages 32\u201339, May 1994. (also PRISM Working Note #15.","DOI":"10.1109\/SHPCC.1994.296624"},{"key":"9_CR4","volume-title":"LAPACK Working Note 95","author":"J. Choi","year":"1995","unstructured":"Jaeyoung Choi, James Demmel, I. Dhillon, Jack J. Dongarra, Susan Ostrouchov, Antoine P. Petitet, K. Stanley, David W. Walker, and R. Clint Whaley. ScaLA-PACK: A portable linear algebra library for distributed memory computers \u2014 design issues and performances. LAPACK Working Note 95, Oak Ridge National Laboratory, Oak Ridge, TN, USA, 1995."},{"key":"9_CR5","series-title":"LAPACK Working Note 55","volume-title":"Technical Report CS-92-181","author":"J. Choi","year":"1992","unstructured":"Jaeyoung Choi, Jack J. Dongarra, Roldan Pozo, and David W. Walker. ScaLA-PACK: A scalable linear algebra library for distributed memory concurrent computers. Technical Report CS-92-181, Department of Computer Science, University of Tennessee, Knoxville, TN, USA, November 1992. LAPACK Working Note 55."},{"key":"9_CR6","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1090\/S0025-5718-1965-0178586-1","volume":"19","author":"C.W. Cooley","year":"1965","unstructured":"C.W. Cooley and J.W. Tuckey. An Algorithm for the Machine Calculation of Complex Fourier Series. Math. Comput., 19:297\u2013301, 1965.","journal-title":"Math. Comput."},{"key":"9_CR7","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF01396757","volume":"36","author":"J. J. M. Cuppen","year":"1981","unstructured":"J. J. M. Cuppen. A divide and conquer method for the symmetric tridiagonal eigenproblem. Numer. Math., 36:177\u2013195, 1981.","journal-title":"Numer. Math."},{"key":"9_CR8","series-title":"LAPACK Working Note 86","volume-title":"Technical Report CS-94-254","author":"J. W. Demmel","year":"1994","unstructured":"James W. Demmel and K. Stanley. The performance of finding eigenvalues and eigenvectors of dense symmetric matrices on distributed memory computers. Technical Report CS-94-254, Department of Computer Science, University of Tennessee, Knoxville, TN, USA, September 1994. LAPACK Working Note 86."},{"key":"9_CR9","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1137\/0908018","volume":"8","author":"J. Dongarra","year":"1987","unstructured":"J. Dongarra and D. Sorensen. A fully parallel algorithm for the symmetric eigenvalue problem. SIAM J. Sci. Stat. Comput., 8:139\u2013154, 1987.","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"9_CR10","unstructured":"D. Gim\u00e9nez, R. van de Geijn, V. Hern\u00e1ndez, and A. M. Vidal. Exploiting the symmetry on the jacobi method on a mesh of processors. In 4th EUROMICRO Worshop on Parallel and Distributed Processing, Braga, Portugal, 1996."},{"key":"9_CR11","volume-title":"Matrix Computations","author":"G. H. Golub","year":"1989","unstructured":"Gene H. Golub and Charles F. Van Loan. Matrix Computations. Johns Hopkins University Press, Baltimore, MD, USA, second edition, 1989.","edition":"second edition"},{"key":"9_CR12","doi-asserted-by":"crossref","unstructured":"C. Lin and L.Snyder. A matrix product algorithm and its comparative performance on hypercubes. In Scalable High Performance Computing Conference SHPCC92, pages 190\u2013193. IEEE Computer Society, 1992.","DOI":"10.1109\/SHPCC.1992.232648"},{"key":"9_CR13","volume-title":"The Symmetric Eigenvalue Problem","author":"B. N. Parlett","year":"1980","unstructured":"Beresford N. Parlett. The Symmetric Eigenvalue Problem. Prentice-Hall, Englewood Cliffs, NJ, USA, 1980."},{"key":"9_CR14","volume-title":"Report TR94-37","author":"M. Pourzandi","year":"1994","unstructured":"Makan Pourzandi and Fran\u00e7oise Tisseur. Parall\u00e8lisation d'une nouvelle m\u00e9thode de recherche de valeurs propres pour des matrices r\u00e9elles sym\u00e9triques. Report TR94-37, LIP, ENS Lyon, 1994."},{"key":"9_CR15","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0024-3795(94)90316-6","volume":"196","author":"O. Rojo","year":"1994","unstructured":"Oscar Rojo and Ricardo L. Soto. A decreasing sequence of eigenvalue localization regions. Linear Algebra and Appl., 196:71\u201384, 1994.","journal-title":"Linear Algebra and Appl."},{"issue":"1","key":"9_CR16","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1137\/0914008","volume":"14","author":"S. Yau","year":"1993","unstructured":"Shing-Tung Yau and Ya Yan Lu. Reducing the symmetric matrix eigenvalue problem to matrix multiplications. SIAM J. Sci. Comput., 14(1):121\u2013136, 1993.","journal-title":"SIAM J. Sci. Comput."}],"container-title":["Lecture Notes in Computer Science","Vector and Parallel Processing \u2014 VECPAR'96"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-62828-2_117","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T21:14:59Z","timestamp":1739999699000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-62828-2_117"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"ISBN":["9783540628286","9783540686996"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/3-540-62828-2_117","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1997]]},"assertion":[{"value":"5 August 2005","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}