Minimizing communication in linear algebra, SIMAX, pp.32-866, 2011. ,
Solution of Simultaneous Linear Equations using a Magnetic-Tape Store, The Computer Journal, vol.3, issue.1, pp.28-33, 1960. ,
DOI : 10.1093/comjnl/3.1.28
Communication-optimal Parallel and Sequential QR and LU Factorizations, SIAM Journal on Scientific Computing, vol.34, issue.1, 2011. ,
DOI : 10.1137/080731992
URL : https://hal.archives-ouvertes.fr/hal-00870930
Adapting Communicationavoinding LU and QR factorizations to multicore architectures, Proceedings of the IPDPS Conference, 2010. ,
LINPACK Benchmark, pp.803-820, 2003. ,
DOI : 10.1007/978-0-387-09766-4_155
Gaussian Elimination with Partial Pivoting Can Fail in Practice, SIAM Journal on Matrix Analysis and Applications, vol.15, issue.4, pp.1354-1362, 1994. ,
DOI : 10.1137/S0895479892239755
The growth factor and efficiency of Gaussian elimination with rook pivoting, Journal of Computational and Applied Mathematics, vol.86, issue.1, pp.177-194, 1997. ,
DOI : 10.1016/S0377-0427(97)00154-4
On Growth in Gaussian Elimination with Complete Pivoting, SIAM Journal on Matrix Analysis and Applications, vol.12, issue.2, pp.354-361, 1991. ,
DOI : 10.1137/0612025
CALU: A Communication Optimal LU Factorization Algorithm, SIAM Journal on Matrix Analysis and Applications, vol.32, issue.4, 2011. ,
DOI : 10.1137/100788926
URL : https://hal.archives-ouvertes.fr/hal-00651137
Communication Avoiding Gaussian elimination, 2008 SC, International Conference for High Performance Computing, Networking, Storage and Analysis, 2008. ,
DOI : 10.1109/SC.2008.5214287
URL : https://hal.archives-ouvertes.fr/inria-00277901
Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization, SIAM Journal on Scientific Computing, vol.17, issue.4, pp.848-896, 1996. ,
DOI : 10.1137/0917055
Accuracy and Stability of Numerical Algorithms, SIAM, 2002. ,
Large Growth Factors in Gaussian Elimination with Pivoting, SIMAX, pp.10-155, 1989. ,
The Red-Blue Pebble Game, STOC '81: Proceedings of the Thirteenth Annual ACM Symposium on Theory of Computing, pp.326-333, 1981. ,
Communication lower bounds for distributed-memory matrix multiplication, Journal of Parallel and Distributed Computing, vol.64, issue.9, pp.1017-1026, 2004. ,
DOI : 10.1016/j.jpdc.2004.03.021
Iterative refinement implies numerical stability for Gaussian elimination, Mathematics of Computation, vol.35, issue.151, pp.817-831, 1980. ,
DOI : 10.1090/S0025-5718-1980-0572859-4
Analysis of Pairwise Pivoting in Gaussian Elimination, IEEE Transactions on Computers, vol.34, issue.3, p.274278, 1985. ,
DOI : 10.1109/TC.1985.1676570
Average-Case Stability of Gaussian Elimination, SIAM Journal on Matrix Analysis and Applications, vol.11, issue.3, pp.335-360, 1990. ,
DOI : 10.1137/0611023
Error Analysis of Direct Methods of Matrix Inversion, Journal of the ACM, vol.8, issue.3, pp.281-330, 1961. ,
DOI : 10.1145/321075.321076
A Collection of Problems for Which Gaussian Elimination with Partial Pivoting is Unstable, SIAM Journal on Scientific Computing, vol.14, issue.1, pp.231-238, 1993. ,
DOI : 10.1137/0914013