Publications
Journals (published and submitted)
- P. Have, R. Masson, F. Nataf, M. Szydlarski, and T. Zhao, Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems, in submission.
- A. Khabou, J. Demmel, L. Grigori, and M. Gu, LU Factorization with Panel Rank Revealing Pivoting and its Communication Avoiding Version, LAWN 263, in submission.
- F. Nataf, H. Xiang, V. Dolean, and N. Spillane, A coarse space construction based on local Dirichlet-to-Neumann maps, SIAM J. Sci. Comput., Vol. 33, No. 4, pp. 1623-1642.
- L. Grigori, J. Demmel, H. Xiang, CALU: a communication optimal LU factorization algorithm, SIAM Journal on Matrix Analysis, 32, pp. 1317-1350, 2011.
- Q. Niu, L. Grigori, P. Kumar, and F. Nataf, Modified tangential frequency filtering decomposition and its Fourier analysis, Numerische Mathematik, 2010, preliminary version published as INRIA TR 6662.
- L. Grigori, F. Nataf, and Q. Niu, Two sides tangential filtering decomposition, Journal of Computational and Applied Mathematics, Vol. 235, pages 2647-2661, 2010, preliminary version published as INRIA TR 6554.
- P. Kumar, L.Grigori, Q.Niu, F. Nataf, Combinative preconditioning based on Relaxed Nested factorization and tangential filtering preconditioners, submitted for publication, preliminary version published as INRIA TR 6955.
Conferences
- S. Donfack, L. Grigori, W. Gropp, and V. Kale, Hybrid static/dynamic scheduling for already optimized dense matrix factorization, Proceedings of IEEE International Parallel & Distributed Processing Symposium, IPDPS 2012, preliminary version published as INRIA TR 7775.
- M. Baboulin, S. Donfack, L. Grigori, A. Remy, S. Tomov, and J. Dongarra, A class of communication-avoiding algorithms for solving general dense linear systems on CPU/GPU parallel machines, International Conference on Computational Science 2012, preliminary version published as INRIA TR 7854.
- V. Dolean, F. Nataf, R. Scheichl, and N. Spillane, A two-level Schwarz preconditioner for heterogeneous problems, 20th International Conference on Domain Decomposition Methods, 2011.
- L. Grigori, P. Y. David, J. Demmel, S. Peyronnet, Brief Announcement: Lower bounds on communication for sparse Cholesky factorization of a model problem, ACM SPAA 2010.
- Pascal Henon, Improved ILU preconditioners by recursive solves, Proceedings of PMAA10, Switzerland 2010.
- F. Pellegrini, Current challenges for parallel graph partitioning and static mapping, Proceedings of PMAA10, Switzerland 2010.
Technical Reports
- L. Grigori, P. Kumar, F. Nataf, and K. Wang, A class of multilevel parallel preconditioning strategies, INRIA TR 7410 .