Publications
CholeskyQR with Randomization and Pivoting for Tall Matrices (CQRRPT)
: arXiv, February 2024.
Randomized Numerical Linear Algebra: A Perspective on the Field with an Eye to Software,”
University of California, Berkeley EECS Technical Report, no. UCB/EECS-2022-258: University of California, Berkeley, November 2022.
DOI: 10.48550/arXiv.2302.11474 (1.05 MB) (1.54 MB)
“Prospectus for the Next LAPACK and ScaLAPACK Libraries: Basic ALgebra LIbraries for Sustainable Technology with Interdisciplinary Collaboration (BALLISTIC),”
LAPACK Working Notes, no. 297, ICL-UT-20-07: University of Tennessee.
(1.41 MB)
“Bidiagonal SVD Computation via an Associated Tridiagonal Eigenproblem,”
LAPACK Working Note, no. LAWN 295, ICL-UT-18-02: University of Tennessee, April 2018.
(1.53 MB)
“Communication-Avoiding Symmetric-Indefinite Factorization,”
SIAM Journal on Matrix Analysis and Application, vol. 35, issue 4, pp. 1364-1406, July 2014.
(593.18 KB)
“Implementing a Blocked Aasen’s Algorithm with a Dynamic Scheduler on Multicore Architectures,”
IPDPS 2013 (submitted), Boston, MA, 00 2013.
(1.22 MB)
“LAPACK,”
Handbook of Linear Algebra, Second, Boca Raton, FL, CRC Press, 2013.
(223.21 KB)
“Accelerating Time-To-Solution for Computational Science and Engineering,”
SciDAC Review, 00 2009.
(739.11 KB)
“Numerical Linear Algebra on Emerging Architectures: The PLASMA and MAGMA Projects,”
Journal of Physics: Conference Series, vol. 180, 00 2009.
(119.37 KB)
“Numerical Linear Algebra on Emerging Architectures: The PLASMA and MAGMA Projects
, Portland, OR, The International Conference for High Performance Computing, Networking, Storage, and Analysis (SC09), November 2009.
(3.53 MB)
Enhancing the Performance of Dense Linear Algebra Solvers on GPUs (in the MAGMA Project)
, Austin, TX, The International Conference for High Performance Computing, Networking, Storage, and Analysis (SC08), November 2008.
(5.28 MB)
HPCS Library Study Effort,”
University of Tennessee Computer Science Technical Report, UT-CS-08-617, January 2008.
(73.22 KB)
“Prospectus for the Next LAPACK and ScaLAPACK Libraries,”
PARA 2006, Umea, Sweden, June 2006.
(460.11 KB)
“LAPACK 2005 Prospectus: Reliable and Scalable Software for Linear Algebra Computations on High End Computers
: LAPACK Working Note 164, January 2005.
(172.59 KB)
Self Adapting Linear Algebra Algorithms and Software,”
IEEE Proceedings (to appear), 00 2004.
(587.67 KB)
“An Updated Set of Basic Linear Algebra Subprograms (BLAS),”
ACM Transactions on Mathematical Software, vol. 28, no. 2, pp. 135-151, December 2002.
DOI: 10.1145/567806.567807 (228.33 KB)
“Basic Linear Algebra Subprograms (BLAS),”
(an update), submitted to ACM TOMS, February 2001.
(228.33 KB)
“LAPACK Users' Guide, 3rd ed.,”
Philadelphia: Society for Industrial and Applied Mathematics, January 1999.
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