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Theo Mary
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Performance and scalability of the block low-rank multifrontal factorization on multicore architectures
PR Amestoy, A Buttari, JY L'excellent, T Mary
ACM Transactions on Mathematical Software (TOMS) 45 (1), 1-26, 2019
2902019
Mixed precision algorithms in numerical linear algebra
NJ Higham, T Mary
Acta Numerica 31, 347-414, 2022
1332022
A new approach to probabilistic rounding error analysis
NJ Higham, T Mary
SIAM journal on scientific computing 41 (5), A2815-A2835, 2019
1122019
Stochastic rounding and its probabilistic backward error analysis
MP Connolly, NJ Higham, T Mary
SIAM Journal on Scientific Computing 43 (1), A566-A585, 2021
962021
Fast 3D frequency-domain full-waveform inversion with a parallel block low-rank multifrontal direct solver: Application to OBC data from the North Sea
P Amestoy, R Brossier, A Buttari, JY L’Excellent, T Mary, L Métivier, ...
Geophysics 81 (6), R363-R383, 2016
872016
On the complexity of the block low-rank multifrontal factorization
P Amestoy, A Buttari, JY L'Excellent, T Mary
SIAM Journal on Scientific Computing 39 (4), A1710-A1740, 2017
862017
Stochastic rounding: implementation, error analysis and applications
M Croci, M Fasi, NJ Higham, T Mary, M Mikaitis
Royal Society Open Science 9 (3), 211631, 2022
852022
Block Low-Rank multifrontal solvers: complexity, performance, and scalability
T Mary
Université Paul Sabatier-Toulouse III, 2017
802017
Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores
P Blanchard, NJ Higham, F Lopez, T Mary, S Pranesh
SIAM Journal on Scientific Computing 42 (3), C124-C141, 2019
732019
A class of fast and accurate summation algorithms
P Blanchard, NJ Higham, T Mary
SIAM journal on scientific computing 42 (3), A1541-A1557, 2020
562020
Sharper probabilistic backward error analysis for basic linear algebra kernels with random data
NJ Higham, T Mary
SIAM Journal on Scientific Computing 42 (5), A3427-A3446, 2020
46*2020
Bridging the gap between flat and hierarchical low-rank matrix formats: The multilevel block low-rank format
PR Amestoy, A Buttari, JY L'Excellent, TA Mary
SIAM Journal on Scientific Computing 41 (3), A1414-A1442, 2019
452019
Five-precision GMRES-based iterative refinement
P Amestoy, A Buttari, NJ Higham, JY L’excellent, T Mary, B Vieublé
SIAM Journal on Matrix Analysis and Applications 45 (1), 529-552, 2024
412024
A new preconditioner that exploits low-rank approximations to factorization error
NJ Higham, T Mary
SIAM Journal on Scientific Computing 41 (1), A59-A82, 2019
352019
Large-scale 3-D EM modelling with a Block Low-Rank multifrontal direct solver
DV Shantsev, P Jaysaval, S de la Kethulle de Ryhove, PR Amestoy, ...
Geophysical Journal International 209 (3), 1558-1571, 2017
292017
Mixed precision low-rank approximations and their application to block low-rank LU factorization
P Amestoy, O Boiteau, A Buttari, M Gerest, F Jézéquel, JY L’Excellent, ...
IMA Journal of Numerical Analysis 43 (4), 2198-2227, 2023
262023
Matrix multiplication in multiword arithmetic: Error analysis and application to GPU tensor cores
M Fasi, NJ Higham, F Lopez, T Mary, M Mikaitis
SIAM Journal on Scientific Computing 45 (1), C1-C19, 2023
242023
Solving block low-rank linear systems by LU factorization is numerically stable
NJ Higham, T Mary
IMA Journal of Numerical Analysis 42 (2), 951-980, 2022
232022
Block low‐rank single precision coarse grid solvers for extreme scale multigrid methods
A Buttari, M Huber, P Leleux, T Mary, U Rüde, B Wohlmuth
Numerical Linear Algebra with Applications 29 (1), e2407, 2022
222022
Combining sparse approximate factorizations with mixed-precision iterative refinement
P Amestoy, A Buttari, NJ Higham, JY L’excellent, T Mary, B Vieublé
ACM Transactions on Mathematical Software 49 (1), 1-29, 2023
202023
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