Publications

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Tech Report
Gustavson, F. G., J. Wasniewski, and J. Dongarra, Rectangular Full Packed Format for Cholesky's Algorithm: Factorization, Solution and Inversion,” University of Tennessee Computer Science Technical Report, UT-CS-08-614 (also LAPACK Working Note 199), April 2008.  (896.03 KB)
Journal Article
Becker, D., M. Baboulin, and J. Dongarra, Reducing the Amount of Pivoting in Symmetric Indefinite Systems,” Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science (PPAM 2011), vol. 7203: Springer-Verlag Berlin Heidelberg, pp. 133-142, 00-2012.  (145.76 KB)
Gustavson, F. G., J. Wasniewski, J. Dongarra, and J. Langou, Rectangular Full Packed Format for Cholesky's Algorithm: Factorization, Solution and Inversion,” ACM TOMS (to appear), 00-2009.  (896.03 KB)
Gustavson, F. G., J. Wasniewski, J. Dongarra, and J. Langou, Rectangular Full Packed Format for Cholesky's Algorithm: Factorization, Solution and Inversion,” ACM Transactions on Mathematical Software (TOMS), vol. 37, no. 2, April 2010.  (896.03 KB)
Gustavson, F. G., J. Wasniewski, J. Dongarra, and J. Langou, Rectangular Full Packed Format for Cholesky’s Algorithm: Factorization, Solution, and Inversion,” ACM Transactions on Mathematical Software (TOMS), vol. 37, no. 2, Atlanta, GA, April 2010.  (896.03 KB)
Parallel Processing and Applied Mathematics, 9th International Conference, PPAM 2011,” Lecture Notes in Computer Science, vol. 7203, Torun, Poland, 00-2012.
Gustavson, F. G., J. Wasniewski, and J. Dongarra, Level-3 Cholesky Kernel Subroutine of a Fully Portable High Performance Minimal Storage Hybrid Format Cholesky Algorithm,” ACM TOMS (submitted), also LAPACK Working Note (LAWN) 211, 00-2010.  (190.2 KB)
Gustavson, F. G., J. Wasniewski, J. Dongarra, J. Herrero, and J. Langou, Level-3 Cholesky Factorization Routines Improve Performance of Many Cholesky Algorithms,” ACM Transactions on Mathematical Software (TOMS), vol. 39, issue 2, February 2013. DOI: 10.1145/2427023.2427026  (439.46 KB)
Conference Proceedings
8th International Conference on Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science (LNCS),” PPAM 2009 Proceedings, vol. 6067, Wroclaw, Poland, Springer, September 2010.
,” 7th International parallel Processing and Applied Mathematics Conference, Lecture Notes in Comptuer Science, vol. 4967, Gdansk, Poland, Springer Berlin, January 2008.