Publications de Serge GRATTON
Adrien Rouviere, Lucas Pascal, Fabien Méry, Ehouarn Simon, Serge Gratton
Neural prediction model for transition onset of a boundary layer in presence of two-dimensional surface defects
FLOW: Applications of Fluid Mechanics (En ligne), 2023, 3, pp.E20. ⟨10.1017/flo.2023.17⟩
Antoine Bernigaud, Serge Gratton, Ehouarn Simon
A non-linear conjugate gradient in dual space for Lp-norm regularized non-linear least squares with application in data assimilation
Numerical Algorithms, 2023, ⟨10.1007/s11075-023-01578-x⟩
Serge Gratton, Ehouarn Simon, David Titley-Peloquin
Covariance matrix estimation for ensemble-based Kalman filters with multiple ensembles
Mathematical Geosciences, In press, ⟨10.1007/s11004-023-10063-z⟩
Serge Gratton, Philippe L. Toint
OFFO minimization algorithms for second-order optimality and their complexity
Computational Optimization and Applications, 2022, 84, pp.573-607. ⟨10.1007/s10589-022-00435-2⟩
Serge Gratton, Ehouarn Simon, David Titley-Peloquin, Philippe Toint
A note on inexact inner products in GMRES
SIAM Journal on Matrix Analysis and Applications, 2022, 43 (3)
Mathis Peyron, Anthony Fillion, Selime Gürol, Serge Gratton, Pierre Boudier, Gael Goret
Latent space data assimilation by using deep learning
Quarterly Journal of the Royal Meteorological Society, 2021, 147 (740, Part A), pp.3759-3777. ⟨10.1002/qj.4153⟩
Antoine Bernigaud, Serge Gratton, Flavia Lenti, Ehouarn Simon, Oumaima Sohab
Lp‐norm regularization approaches in variational data assimilation
Quarterly Journal of the Royal Meteorological Society, 2021, 147, pp.2067 – 2081. ⟨10.1002/qj.4010⟩
Serge Gratton, Ehouarn Simon, David Titley-Peloquin, Philippe Toint
Minimizing convex quadratics with variable precision conjugate gradients
Numerical Linear Algebra with Applications, 2021, 28 (e2337)
Yashar Akrami, M. Ashdown, J. Aumont, C. Baccigalupi, M. Ballardini, A. J. Banday, R. B. Barreiro, N. Bartolo, S. Basak, K. Benabed, J.-P. Bernard, M. Bersanelli, P. Bielewicz, J. R. Bond, J. Borrill, F. R. Bouchet, C. Burigana, E. Calabrese, P. Carvalho, H. C. Chiang, B. P. Crill, F. Cuttaia, A. de Rosa, G. de Zotti, J. Delabrouille, J.-M. Delouis, E. Di Valentino, J. M. Diego, X. Dupac, S. Dusini, G. Efstathiou, F. Elsner, T. A. Ensslin, H. K. Eriksen, R. Fernandez-Cobos, F. Finelli, A. A. Fraisse, E. Franceschi, A. Frolov, S. Galeotta, K. Ganga, M. Gerbino, J. González-Nuevo, K. M. Górski, Serge Gratton, A. Gruppuso, J. E. Gudmundsson, W. Handley, F. K. Hansen, D. Herranz, E. Hivon, M. Hobson, Z. Huang, W. C. Jones, E. Keihänen, R. Keskitalo, J. Kim, T. S. Kisner, N. Krachmalnicoff, M. Kunz, H. Kurki-Suonio, J.-M. Lamarre, A. Lasenby, M. Lattanzi, C. R. Lawrence, M. Le Jeune, F. Levrier, P. B. Lilje, V. Lindholm, M. López-Caniego, Y.-Z. Ma, J. F. Macías-Pérez, G. Maggio, N. Mandolesi, A. Marcos-Caballero, M. Maris, P. G. Martin, E. Martínez-González, S. Matarrese, N. Mauri, J. D. Mcewen, M. Migliaccio, D. Molinari, A. Moneti, L. Montier, G. Morgante, P. Natoli, D. Paoletti, B. Partridge, F. Perrotta, V. Pettorino, F. Piacentini, G. Polenta, J.-L. Puget, J. P. Rachen, M. Reinecke, M. Remazeilles, A. Renzi, G. Rocha, G. Roudier, B. Ruiz-Granados, M. Savelainen, D. Scott, G. Sirri, L. D. Spencer, A.-S. Suur-Uski, J. A. Tauber, D. Tavagnacco, M. Tenti, L. Toffolatti, M. Tomasi, T. Trombetti, J. Valiviita, B. van Tent, P. Vielva, F. Villa, I. K. Wehus, A. Zacchei, A. Zonca
Planck intermediate results
Astronomy and Astrophysics – A&A, 2020, 644, pp.A99. ⟨10.1051/0004-6361/201936794⟩
Anthony Fillion, Marc Bocquet, Serge Gratton, Selime Gürol, Pavel Sakov
An Iterative Ensemble Kalman Smoother in Presence of Additive Model Error
SIAM/ASA Journal on Uncertainty Quantification, 2020, 8 (1), pp.198-228. ⟨10.1137/19M1244147⟩
Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method
Optimization Methods and Software, 2020
Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
On Iterative Solution of the Extended Normal Equations
SIAM Journal on Matrix Analysis and Applications, 2020, 41 (4), pp.1571-1589. ⟨10.1137/19M1288644⟩
A note on solving nonlinear optimization problems in variable precision
Computational Optimization and Applications, 2020, pp.1-15
Serge Gratton, Ehouarn Simon, Philippe Toint
An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity
Mathematical Programming, Series A, 2020, ⟨10.1007/s10107-020-01466-5⟩
Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
On a multilevel Levenberg–Marquardt method for the training of artificial neural networks and its application to the solution of partial differential equations
Optimization Methods and Software, 2020, pp.1-26. ⟨10.1080/10556788.2020.1775828⟩
Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
On high-order multilevel optimization strategies
SIAM Journal on Optimization, 2020, 31 (1), pp.307-330. ⟨10.1137/19M1255355⟩
Serge Gratton, Clément Royer, Luís N. Vicente
A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds
Mathematical Programming, 2020, 179 (1-2), pp.195-222. ⟨10.1007/s10107-018-1328-7⟩
Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
ON THE ITERATIVE SOLUTION OF SYSTEMS OF THE FORM A T Ax = A T b + c
SIAM Journal on Matrix Analysis and Applications, 2020, pp.1-25
Thibaud Vandamme, Emmanuel Caroli, Serge Gratton
How the Invasion Zone Can Contribute to the Estimation of Petrophysical Properties From Log Inversion at Well Scale?
Petrophysics – The SPWLA Journal of Formation Evaluation and Reservoir Description, 2019, 60 (2), pp.306-325. ⟨10.30632/PJV60N2-2019a8⟩
El Houcine Bergou, Serge Gratton, Jan Mandel
On the convergence of a non-linear ensemble Kalman smoother
Applied Numerical Mathematics, 2019, 137, pp.151-168. ⟨10.1016/j.apnum.2018.11.008⟩
Serge Gratton, Clément Royer, Luís N. Vicente, Zaikun Zhang
Direct search based on probabilistic feasible descent for bound and linearly constrained problems
Computational Optimization and Applications, 2019, 72 (3), pp.525-559. ⟨10.1007/s10589-019-00062-4⟩
Oliver Guillet, Anthony Weaver, Xavier Vasseur, Yann Michel, Serge Gratton, Selime Gurol
Modelling spatially correlated observation errors in variational data assimilation using a diffusion operator on an unstructured mesh
Quarterly Journal of the Royal Meteorological Society, 2019, pp.1-21. ⟨10.1002/qj.3537⟩
Serge Gratton, Selime Gürol, Ehouarn Simon, Philippe Toint
Guaranteeing the convergence of the saddle formulation for weakly constrained 4D‐Var data assimilation
Quarterly Journal of the Royal Meteorological Society, 2018, 144 (717), pp.2592-2602. ⟨10.1002/qj.3355⟩
Serge Gratton, Clément Royer, Luis Vicente, Zaikun Zhang
Complexity and global rates of trust-region methods based on probabilistic mode
IMA Journal of Numerical Analysis, 2018, 38 (3), pp.1579-1597. ⟨10.1093/imanum/drx043⟩
Thibaut Lunet, Julien Bodart, Serge Gratton, Xavier Vasseur
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening
Computing and Visualization in Science, 2018, Special Issue Parallel-in-Time Methods, 19, pp.31-44. ⟨10.1007/s00791-018-0295-0⟩
Anthony Fillion, Marc Bocquet, Serge Gratton
Quasi-static ensemble variational data assimilation: a theoretical and numerical study with the iterative ensemble Kalman smoother
Nonlinear Processes in Geophysics, 2018, 25 (2), pp.315-334. ⟨10.5194/npg-25-315-2018⟩
Serge Gratton, Selime Gürol, Ehouarn Simon, Philippe Toint
A note on preconditioning weighted linear least-squares, with consequences for weakly constrained variational data assimilation
Quarterly Journal of the Royal Meteorological Society, 2018, 144 (712), pp.934-940. ⟨10.1002/qj.3262⟩
Anthony Fillion, Marc Bocquet, Serge Gratton
Quasi-static ensemble variational data assimilation: a theoretical and numerical study with the iterative ensemble Kalman smoother
Nonlinear Processes in Geophysics, 2018, 25, pp.315-334. ⟨10.5194/npg-25-315-2018⟩
Matthew C. Fisher, Serge Gratton, Selime Gurol, Y. Trémolet, Xavier Vasseur
Low rank updates in preconditioning the saddle point systems arising from data assimilation problems
Optimization Methods and Software, 2018, 33 (1), pp.45-69. ⟨10.1080/10556788.2016.1264398⟩
Serge Gratton, David Titley-Peloquin
Improved Bounds for Small-Sample Estimation
SIAM Journal on Matrix Analysis and Applications, 2018, 39 (2), pp.922-931
El Houcine Bergou, Serge Gratton, Luis Vicente
Levenberg-Marquardt methods based on probabilistic gradient models and inexact subproblem solution, with application to data assimilation
Dans : SIAM/ASA Journal on Uncertainty Quantification (JUQ), SIAM, Vol. 4 N. 1, p. 924-951, 2016.
Résumé Accès : https://doi.org/10.1137/140974687 – https://oatao.univ-toulouse.fr/22604/
BibTeXSerge Gratton, Pascal Hénon, Pavel Jiranek, Xavier Vasseur
Reducing complexity of algebraic multigrid by aggregation
Dans : Numerical Linear Algebra with Applications, Wiley, Vol. 23, p. 501-518, 2016.
Youssef Diouane, Serge Gratton, Xavier Vasseur, Luis Vicente, Henry Calandra
A parallel evolution strategy for an Earth imaging problem in geophysics,
Dans : Optimization Engineering, Taylor & Francis Group, Vol. 17 N. 1, p. 2-26, 2016.
Youssef Diouane, Serge Gratton, Xavier Vasseur
A parallel evolution strategy for an Earth imaging problem in geophysics
Dans : Optimization and Engineering, Springer, Vol. 17, N. 1, p. 3-26, 2016.
Serge Gratton, Sylvain Mercier, Nicolas Tardieu, Xavier Vasseur
Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics
Dans : Numerical Linear Algebra with Applications, Wiley, Vol. 23 N. 5, p. 865-887, 2016.
Serge Gratton, Jean Tshimanga Ilunga
On a second-order expansion of the truncated singular subspace decomposition
Dans : Numerical Linear Algebra with Applications, Wiley, Vol. 23 N. 3, p. 519-534, 2016.
Jan Mandel, El Houcine Bergou, Selime Gurol, Serge Gratton, I. Kasanicky
Hybrid Levenberg-Marquardt and weak constraint ensemble Kalman smoother method, Nonlinear Processes in Geophysics
Dans : Nonlinear Processes in Geophysics (NPG), European Geosciences Union (EGU), Munich – Germany, Vol. 23, p. 59-73, 2016.
Serge Gratton, Clément Royer, Luis Vicente
A second-order globally convergent direct-search method and its worst-case complexity
Dans : Optimization: A Journal of Mathematical Programming and Operations Research, Taylor & Francis Group, Vol. 65 N. 6, p. 1105-1128, 2016.
Accès : http://www.tandfonline.com/doi/abs/10.1080/02331934.2015.1124271 – http://www.mat.uc.pt/~lnv/papers/DSdeterm2.pdf – https://oatao.univ-toulouse.fr/16988/
BibTeXYoussef Diouane, Serge Gratton, Luis Vicente
Globally convergent evolution strategies for constrained optimization
Dans : Computational Optimization and Applications, Springer-Verlag, Heidelberg, Allemagne, Vol. 62, p. 323-346, 2015.
Youssef Diouane, Serge Gratton, Luis Vicente
Globally convergent evolution strategies
Dans : Mathematical Programming, Series A, Springer, Vol. 152, p. 467-490, 2015.
Serge Gratton, Vincent Malmedy, Philippe Toint
Quasi-Newton updates with weighted secant equations
Dans : Optimization Methods and Software, Taylor & Francis Online, Vol. 30 N. 4, p. 748-755, 2015.
Guillaume Ramillien, Frank Frappart, Serge Gratton, Xavier Vasseur
Sequential estimation of surface water mass changes from daily satellite gravimetry data
Dans : Journal of Geodesy, Springer, Vol. 89, p. 259-282, 2015.
Serge Gratton, Clément Royer, Luis Vicente, Zaikun Zhang
Direct Search Based on Probabilistic Descent
Dans : SIAM Journal on Optimization, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 25 N. 3, p. 1515-1541, 2015.
Accès : http://epubs.siam.org/doi/abs/10.1137/140961602 – http://www.mat.uc.pt/~lnv/papers/ds-random.pdf – https://oatao.univ-toulouse.fr/16987/
BibTeXSerge Gratton, Monserrat Rincon-Camacho, Ehouarn Simon, Philippe Toint
Observation Thinning in Data Assimilation Computations
Dans : EURO Journal on Computational Optimization, Association of European Operational Research Societies, Suisse, Vol. 3 N. 1, p. 31-51, 2015.
A merit function approach for direct search
Dans : SIAM Journal on Optimization, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 24 N. 4, p. 1980-1998, 2014.
Serge Gratton, David Titley-Peloquin
Stochastic conditioning of matrix functions
Dans : SIAM/ASA Journal on Uncertainty Quantification (JUQ), SIAM, Vol. 2 N. 1, p. 763-783, 2014.
Résumé Accès : https://doi.org/10.1137/140973827 – https://oatao.univ-toulouse.fr/22598/
BibTeXEl Houcine Bergou, Serge Gratton, Jean Tshimanga Ilunga
The exact condition number of the truncated singular value solution of a linear ill-posed problem
Dans : SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 35 N. 3, p. 1073-1085, 2014.
Serge Gratton, David Titley-Peloquin, Philippe Toint, Jean Tshimanga Ilunga
Differentiating the Method of Conjugate Gradients
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 35 N. 1, p. 110-126, 2014.
Serge Gratton, Patrick Laloyaux, Annick Sartenaer
Derivative-free optimization for large-scale nonlinear data assimilation problems
Dans : Quarterly Journal of the Royal Meteorological Society, Wiley, 2014 (à paraître).
Selime Gurol, Anthony Weaver, Andy Moore, Andrea Piaccentini, Henry Arango, Serge Gratton
B-preconditioned minimization algorithms for variational data assimilation with the dual formulation
Dans : Quarterly Journal of the Royal Meteorological Society, Wiley, Vol. 140 N. 679, p. 539-556, 2014.
Serge Gratton, Philippe Toint, Jean Tshimanga Ilunga
Conjugate-gradients versus multigrid solvers for diffusion-based correlation models in data assimilation
Dans : Quarterly Journal of the Royal Meteorological Society, Wiley, Vol. 139 N. 675, p. 1481-1487, 2014.
A surrogate management framework using rigorous trust-region steps
Dans : Optimization Methods and Software, Taylor & Francis Group, Vol. 29, p. 10-23, janvier 2014.
Serge Gratton, Pavel Jiranek, Xavier Vasseur
Energy backward error: interpretation in numerical solution of elliptic partial differential equations and convergence of the conjugate gradient method
Dans : Electronic Transaction on Numerical Analysis, Kent State UNiversity, USA, Vol. 40, p. 338-355, 2013.
Serge Gratton, David Titley-Peloquin, Jean Tshimanga Ilunga
Sensitivity and conditioning of the truncated total least squares solution
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 34 N. 3, p. 1257-1276, 2013.
Serge Gratton, Selime Gurol, Philippe Toint
Preconditioning and Globalizing Conjugate Gradients in Dual Space for Quadratically Penalized Nonlinear-Least Squares Problems
Dans : Computational Optimization and Applications, Springer, Vol. 54 N. 1, p. 1-25, 2013.
Linear regression models, least-squares problems, normal equations, and stopping criteria for the conjugate gradient method
Dans : Computer Physics Communications (CPC), Elsevier, Vol. 183 N. 11, p. 2322-2336, 2012.
Guillaume Ramillien, Lucia Soane, Frank Frappart, Serge Gratton, Xavier Vasseur, Stéphane Bourgogne
Constrained regional recovery of continental water mass time-variations from GRACE-based geopotential anomalies
Dans : Surveys in Geophysics, Springer, Vol. 33 N. 5, p. 887-905, 2012.
Henry Calandra, Serge Gratton, Raphael Lago, Xavier Pinel, Xavier Vasseur
Two-Level preconditioned Krylov subspace methods for the solution of three-dimensional heterogeneous Helmholtz problems in seismics
Dans : Numerical Analysis and Applications, Springer, Vol. 5 N. 2, p. 175-191, mai 2012.
Serge Gratton, Pavel Jiranek, David Titley-Peloquin
On the accuracy of the Karlson-Walden estimate of the backward error for linear least squares problems
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 33 N. 3, p. 822-836, 2012.
Serge Gratton, Vincent Malmedy, Philippe Toint
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization
Dans : Computational Optimization and Applications, Springer, Vol. 51 N. 3, p. 967-979, 2012.
Henry Calandra, Serge Gratton, Julien Langou, Xavier Pinel, Xavier Vasseur
Flexible variants of block restarted GMRES methods with application to geophysics
Dans : SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 34 N. 2, p. 714-736, 2012.
Guillaume Ramillien, Richard Biancale, Serge Gratton, Xavier Vasseur, Stéphane Bourgogne
GRACE-derived surface mass anomalies by energy integral approach. Application to continental hydrology
Dans : Journal of Geodesy, Springer, Vol. 85 N. 6, p. 313-328, 2012.
Serge Gratton, Philippe Toint, Anke Troeltzsch
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization
Dans : Optimization Methods and Software, Taylor & Francis Online, Vol. 21 N. 4-5, p. 873-894, 2011.
Luis Carvalho, Serge Gratton, Raphael Lago, Xavier Vasseur
A flexible generalized conjugate residual method with inner orthogonalization and deflated restarting
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 32 N. 4, p. 1212-1235, 2011.
Serge Gratton, Mélodie Mouffe, Philippe Toint
Stopping rules and backward error analysis for bound-constrained optimization
Dans : Numerische Mathematik, Springer, Vol. 119, p. 163-187, 2011.
Serge Gratton, Philippe Toint, Jean Tshimanga Ilunga
Range-Space Variants and Inexact Matrix-Vector Products in Krylov Solvers for Linear Systems Arising from Inverse Problems
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 32 N. 3, p. 969-986, 2011.
A contribution to the conditioning of the total least squares problem. SIAM Journal on Matrix Analysis and Applications
Dans : SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 32, p. 685-699, 2011.
Serge Gratton, Annick Sartenaer, Jean Tshimanga Ilunga
On a class of limited memory preconditioners for large scale linear systems with multiple right-hand sides
Dans : SIAM Journal on Optimization, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 21 N. 3, p. 912-935, 2011.
Serge Gratton, Patrick Laloyaux, Annick Sartenaer
A reduced and limited-memory preconditioned approach for the 4d-var data-assimilation problem
Dans : Quarterly Journal of the Royal Meteorological Society, Wiley, Vol. 137, p. 452-466, 2011.
M’Barek Fares, Serge Gratton, Philippe Toint
Fast regularized linear sampling for inverse scattering problems,
Dans : Numerical Linear Algebra with Applications, Wiley, Vol. 18(1), p. 55-68, 2011.
Luc Giraud, Serge Gratton, Xavier Pinel, Xavier Vasseur
Flexible GMRES with Deflated Restarting
Dans : SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 32 N. 4, p. 1858-1878, 2010.
Mélodie Mouffe, Annick Sartenaer, Serge Gratton, Philippe Toint, Dimitri Tomanos
Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization.
Dans : , Vol. 25 N. 3, p. 359-386, 2010 (à paraître).
GNSS Networks in Algebraic Graph Theory
Dans : Journal of Global Positioning Systems, International Association of Chinese Professionals in Global Positioning Systems, China, Vol. 8 N. 1, p. 1-23, 2010.
Using dual techniques to derive componentwise and mixed condition numbers for a linear functional of a linear least squares solution
Dans : BIT Numerical Mathematics, Springer, Vol. 49 N. 1, p. 3-19, 2009.
Marc Baboulin, Luc Giraud, Serge Gratton, Julien Langou
Parallel tools for solving incremental dense least squares problems. application to space geodesy.
Dans : Journal of Algorithms and Computational Technology, Multi-Science Publishing, UK, Vol. 31 N. 1, p. 117-131, 2009.
Abdellatif El Ghazi, Said El Hajji, Luc Giraud, Serge Gratton
Newton’s method for the common eigenvector problem
Dans : Journal of Computational and Applied Mathematics, Elsevier, Vol. 219 N. 2, p. 398-407, 2008.
Valérie Frayssé, Luc Giraud, Serge Gratton
Algorithm 881: A set of FGMRES routines for real and complex arithmetics on high performance computers
Dans : ACM Transactions on Mathematical Software (TOMS), ACM : Association for Computing Machinery, New York, États-Unis, Vol. 35 N. 2, p. 1-12, 2008.
Mario Arioli, Iain Duff, Serge Gratton, Stéphane Pralet
Note on GMRES Preconditionned by a Perturbed LDLt Decomposition with Static Pivoting. SIAM Journal on Scientific Computing
Dans : SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 25 N. 5, p. 2024-2044, 2007.
Denis Mariano-Goulart, Pierre Maréchal, Serge Gratton, Luc Giraud, M. Fourcade
A priori selection of the regularization parameters in emission tomography by Fourier
Dans : Computerized Medical Imaging and Graphics, Elsevier Science, Vol. 31 N. 7, p. 502-509, octobre 2007.
Marc Baboulin, Luc Giraud, Serge Gratton, Julien Langou
A distributed packed storage for large dense in-core parallel calculations
Dans : Concurrency and Computation:Practice and Experience, Wiley, Vol. 19 N. 4, p. 483-502, 2007.
Accès : http://www3.interscience.wiley.com/cgi-bin/jissue/114123131
BibTeXBruno Carpentieri, Luc Giraud, Serge Gratton
Additive and multiplicative two-level spectral preconditioning for general linear systems
Dans : SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 29 N. 4, p. 1593-1612, 2007.
Luc Giraud, Serge Gratton, Julien Langou
Convergence in backward error of relaxed GMRES
Dans : SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 29 N. 2, p. 710-728, avril 2007.
Luc Giraud, Serge Gratton, Emeric Martin
Incremental spectral preconditioners for sequences of linear systems
Dans : Applied Numerical Mathematics, Elsevier, Vol. 57 N. 11-12, p. 1164-1180, novembre 2007.
On the sensitivity of some spectral preconditioners
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 27 N. 4, p. 1089-1105, 2006.
Résumé Accès : http://epubs.siam.org/SIMAX/vol_27_iss_4.html
BibTeXAmos Lawlesss, Serge Gratton, Nancy Nichols
An investigation of incremental 4D-Var using non-tangent linear models
Dans : Quarterly Journal of the Royal Meteorological Society, Wiley, Vol. 131, p. 459-476, 2005.
Valérie Frayssé, Luc Giraud, Serge Gratton, Julien Langou
Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers
Dans : ACM Transactions on Mathematical Software (TOMS), ACM : Association for Computing Machinery, New York, États-Unis, Vol. 31 N. 2, p. 228-238, 2005.
Luc Giraud, Serge Gratton, Julien Langou
A rank-k update procedure for reorthogonalizing the orthogonal factor from modified Gram-Schmidt
Dans : SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 25 N. 4, p. 1163-11177, 2004.
On the condition number of linear least squares problems in a weighted Frobenius norm
Dans : BIT Numerical Mathematics, Springer, Vol. 36, p. 523-530, 1996.
Adrien Rouvière, Lucas Pascal, Fabien Méry, Ehouarn Simon, Serge Gratton
Neural Prediction Model for Transition Onset of a Boundary-Layer in Presence of 2D Surface Defects
22th ONERA-DLR Aerospace Symposium (ODAS 2022), Jun 2022, Hamburg, Germany. pp.1-10
Adrien Rouviere, Lucas Pascal, Fabien Méry, Ehouarn Simon, Serge Gratton
Neural prediction model for transition onset of a boundary-layer in presence of 2D surface defects
56th 3AF International Conference on Applied Aerodynamics (AERO 2022), Association Aéronautique et Astronautique de France (3AF), Mar 2022, Toulouse, France. pp.1073, ⟨10.2514/6.2022-1073⟩
Luc Giraud, Serge Gratton, Julien Langou
Convergence in backward error of relaxed GMRES
Dans : Householder Symposium XVII, Zeuthen, Germany, 01/06/08-06/06/08.
Inexactness and flexibility in linear Krylov solvers
Dans : Matrix analysis and Applications, CIRM Luminy, 15/10/07-19/10/07 (conférencier invité).
Luc Giraud, Serge Gratton, Xavier Pinel, Xavier Vasseur
Flexible GMRES with Deflated Restarting with Application for the Solution of the Helmoltz Equations
Dans : Minisymposium on Domain-Based and Krylov-Based Deflation Methods for Flow in Porous Media at the 2007 SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, 19/03/07-22/03/07 (conférencier invité).
Luc Giraud, Serge Gratton, Xavier Pinel, Xavier Vasseur
Flexible GMRES with deflated restarting with application to a solution of the Helmholtz equation
Dans : ICIAM 2007, Minisymposium on Solution methods for sequences of linear systems and applications., Zurich, 16/07/07-20/07/07 (conférencier invité).
Serge Gratton, Selime Gurol, Ehouarn Simon, Philippe Toint
Issues in making the weakly-constrained 4DVar formulation computationally efficient
Griewank, Andreas; Reich, Sebastian; Roulstone, Ian; Stuart, Andrew. Mathematical and Algorithmic Aspects of Data Assimilation in the Geosciences, 13 (4), Mathematisches Forschungsinstitut Oberwolfach, pp.2705-2748, 2017, Oberwolfach Reports, ISSN: 1660-8933. ⟨10.4171/OWR/2016/47⟩
Serge Gratton, Selime Gurol, Ehouarn Simon, Philippe Toint
Issues in making the weakly-constrained 4DVar formulation computationally efficient
Dans : Mathematical and Algorithmic Aspects of Data Assimilation in the Geosciences. Andreas Griewank, Sebastian Reich, Ian Roulstone, Andrew Stuart (Eds.) , Mathematisches Forschungsinstitut Oberwolfach, (en ligne), Vol. 13, Oberwolfach Reports, 2016.
Outils théoriques d’analyse du calcul à précision finie
Thèse de doctorat, Institut National Polytechnique de Toulouse, juin 1998.
Serge Gratton, Valentin Mercier, Elisa Riccietti, Philippe L Toint
A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks
2023
Serge Gratton, Philippe L. Toint
OFFO minimization algorithms for second-order optimality and their complexity
2022
Théo Beuzeville, Alfredo Buttari, Serge Gratton, Theo Mary, Erkan Ulker
Adversarial attacks via Sequential Quadratic Programming
2022
Serge Gratton, SADOK JERAD, Philippe L. Toint
First-Order Objective-Function-Free Optimization Algorithms and Their Complexity
2022
Serge Gratton, SADOK JERAD, Philippe L. Toint
Parametric complexity analysis for a class of first-order Adagrad-like algorithms
2022
Serge Gratton, SADOK JERAD, Philippe L. Toint
Convergence properties of an Objective-Function-Free Optimization regularization algorithm, including an $\mathcal{O}(\epsilon^{-3/2})$ complexity bound
2022
Théo Beuzeville, Pierre Boudier, Alfredo Buttari, Serge Gratton, Théo Mary, Stéphane Pralet
Adversarial attacks via backward error analysis
2021
Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
On high-order multilevel optimization strategies
2020
Serge Gratton, Ehouarn Simon, David Titley-Peloquin, Philippe Toint
Exploiting variable precision in GMRES
2020