PhD thesis

    [1] T. Mary, Block Low-Rank multifrontal solvers: complexity, performance, and scalability, 2017. [thesis] [defense slides]

Journal Articles (Submitted)

    [1] N.J. Higham & T. Mary, Solving Block Low-Rank Linear Systems by LU Factorization is Numerically Stable, SIAM J. Sci. Comput., 2019. [pdf] [mims]
    [2] P. Blanchard, N.J. Higham & T. Mary, A Class of Fast and Accurate Summation Algorithms, SIAM J. Sci. Comput., 2019. [pdf] [mims]
    [3] C-P. Jeannerod, T. Mary, C. Pernet & D. Roche, Exploiting fast matrix arithmetic in block low-rank factorizations, SIAM J. Matrix Anal. Appl., 2019. [pdf] [hal] [mims]

Journal Articles

    [1] N.J. Higham & T. Mary, A New Approach to Probabilistic Rounding Error Analysis, SIAM J. Sci. Comput., 41(5):A2815-A2835, 2019. [pdf] [mims] [doi]
    [2] P.R. Amestoy, A. Buttari, J-Y. L'Excellent & T. Mary, Bridging the Gap between Flat and Hierarchical Low-rank Matrix Formats: the Multilevel Block Low-Rank Format, SIAM J. Sci. Comput., 41(3):A1414-A1442, 2019. [pdf] [hal] [mims] [doi]
    [3] C. Gorman, G. Chavez, P. Ghysels, T. Mary, F-H. Rouet & X.S. Li, Robust and Accurate Stopping Criteria for Adaptive Randomized Sampling In Matrix-Free HSS Construction, SIAM J. Sci. Comput., 2019. To appear. [pdf]
    [4] N.J. Higham & T. Mary, A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error, SIAM J. Sci. Comput., 41(1):A59-A82, 2019. [pdf] [mims] [doi]
    [5] Patrick.R. Amestoy, Alfredo. Buttari, Jean-Yves. L'Excellent & Theo. Mary, Performance and Scalability of the Block Low-Rank Multifrontal Factorization on Multicore Architectures, ACM Trans. Math. Software, 45(1):2:1-2:26, 2019. [pdf] [hal] [doi]
    [6] P.R. Amestoy, A. Buttari, J-Y. L'Excellent & T. Mary, On the Complexity of the Block Low-Rank Multifrontal Factorization, SIAM J. Sci. Comput., 39(4):A1710-A1740, 2017. [pdf] [hal] [doi]
    [7] D.V. Shantsev, P. Jaysaval, S. de la Kethulle de Ryhove, P.R. Amestoy, A. Buttari, J-Y. L'Excellent & T. Mary, Large-scale 3D EM modeling with a Block Low-Rank multifrontal direct solver, Geophys. J. Int., 209(3):1558-1571, 2017. [pdf] [doi]
    [8] P.R. Amestoy, R. Brossier, A. Buttari, J-Y. L'Excellent, T. Mary, L. Métivier, A. Miniussi & S. Operto, Fast 3D frequency-domain full waveform inversion with a parallel Block Low-Rank multifrontal direct solver: application to OBC data from the North Sea, Geophysics, 81(6):R363-R383, 2016. [pdf] [doi]

Proceedings (Submitted)

    [1] A. Buttari, M. Huber, P. Leleux, T. Mary, U. Rude & B. Wohlmuth, Extreme Scale Multigrid with Block Low-Rank Coarse Grid Solver, 2019. Submitted to EuroPar'19. [pdf]

Proceedings

    [1] T. Mary, I. Yamazaki, J. Kurzak, P. Luszczek, S. Tomov & J. Dongarra, Performance of Random Sampling for Computing Low-rank Approximations of a Dense Matrix on GPUs in SC'15 - International Conference for High Performance Computing, Networking, Storage and Analysis, Austin, USA, 2015. [doi] [slides]
    [2] P.R. Amestoy, R. Brossier, A. Buttari, J-Y. L'Excellent, T. Mary, L. Métivier, A. Miniussi, S. Operto, J. Virieux & C. Weisbecker, 3D frequency-domain seismic modeling with a Parallel BLR multifrontal direct solver in International Conference Society of Exploration Geophysicists (SEG) Annual Meeting, New Orleans, USA, 2015. [doi] [slides]
    [3] P.R. Amestoy, R. Brossier, A. Buttari, J-Y. L'Excellent, T. Mary, L. Métivier, A. Miniussi, S. Operto, A. Ribodetti, J. Virieux & C. Weisbecker, Efficient 3D frequency-domain full-waveform inversion of ocean-bottom cable data with sparse block low-rank direct solver: a real data case study from the North Sea in International Conference Society of Exploration Geophysicists (SEG) Annual Meeting, New Orleans, USA, 2015. [doi]
    [4] I. Yamazaki, T. Mary, J. Kurzak, S. Tomov & J. Dongarra, Access-averse framework for computing low-rank matrix approximations in 2014 IEEE International Conference on Big Data, Washington, USA, 2014. [doi]

Popular Science and Blog Posts

    [1] Pour quelques \'equations de plus, 2019. Article de vulgarisation scientifique dans le blog Binaire de lemonde.fr. [link]
    [2] For a Few Equations More, 2019. Blog post on nla-group.org. [link]
    [3] A New Preconditioner Exploiting Low-Rank Factorization Error, 2019. Blog post on nla-group.org. [link]
    [4] A New Approach to Probabilistic Rounding Error Analysis, 2018. Blog post on nla-group.org. [link]