SG

Serge Gratton

Professor of applied mathematics at Toulouse-INP/IRIT Scientific Director of ANITI
123
Documents

Publications

Publications

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Multilevel Monte Carlo methods for ensemble variational data assimilation

Mayeul Destouches , Paul Mycek , Selime Gürol , Anthony Weaver , Serge Gratton et al.

Nonlinear Processes in Geophysics, 2025, 32 (2), pp.167-187. ⟨10.5194/npg-32-167-2025⟩

Article dans une revue hal-04869802v1

A Stochastic Objective-Function-Free Adaptive Regularization Method with Optimal Complexity

Serge Gratton , Sadok Jerad , Philippe Toint

Open Journal of Mathematical Optimization, 2025, 6 (2), pp.1-24. ⟨10.5802/ojmo.41⟩

Article dans une revue hal-05097596v1
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Deterministic and probabilistic rounding error analysis of neural networks in floating-point arithmetic

Théo Beuzeville , Alfredo Buttari , Serge Gratton , Theo Mary

IMA Journal of Numerical Analysis, In press

Article dans une revue hal-04663142v3
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A filtered multilevel Monte Carlo method for estimating the expectation of cell-centered discretized random fields

Jérémy Briant , Paul Mycek , Mayeul Destouches , Olivier Goux , Serge Gratton et al.

International Journal for Uncertainty Quantification, In press, ⟨10.1615/Int.J.UncertaintyQuantification.2025057754⟩

Article dans une revue hal-04337114v3

A non-linear conjugate gradient in dual space for Lp-norm regularized non-linear least squares with application in data assimilation

Antoine Bernigaud , Serge Gratton , Ehouarn Simon

Numerical Algorithms, 2024, 95, pp.471-497. ⟨10.1007/s11075-023-01578-x⟩

Article dans une revue hal-04096465v1

Complexity of a class of first-order objective-function-free optimization algorithms

Serge Gratton , S. Jerad , Ph. Toint

Optimization Methods and Software, 2024, pp.1-31. ⟨10.1080/10556788.2023.2296431⟩

Article dans une revue hal-05097578v1

An adaptive regularization method in Banach spaces

Serge Gratton , Sadok Jerad , Philippe L. Toint

Optimization Methods and Software, 2023, 38 (6), pp.1163-1179. ⟨10.1080/10556788.2023.2210253⟩

Article dans une revue hal-04436386v1
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Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training

Serge Gratton , Alena Kopaničáková , Philippe L. Toint

SIAM Journal on Optimization, 2023, 33 (4), pp.2772-2800. ⟨10.1137/23M1553455⟩

Article dans une revue hal-04436393v1

Convergence Properties of an Objective-Function-Free Optimization Regularization Algorithm, Including an \(\boldsymbol{\mathcal{O}(\epsilon^{-3/2})}\) Complexity Bound

Serge Gratton , Sadok Jerad , Philippe L. Toint

SIAM Journal on Optimization, 2023, 33 (3), pp.1621-1646. ⟨10.1137/22M1499522⟩

Article dans une revue hal-04436388v1
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Neural prediction model for transition onset of a boundary layer in presence of two-dimensional surface defects

Adrien Rouviere , Lucas Pascal , Fabien Méry , Ehouarn Simon , Serge Gratton

FLOW, applications of fluid mechanics, 2023, 3, pp.E20. ⟨10.1017/flo.2023.17⟩

Article dans une revue hal-04165542v1

Covariance matrix estimation for ensemble-based Kalman filters with multiple ensembles

Serge Gratton , Ehouarn Simon , David Titley-Peloquin

Mathematical Geosciences, 2023, 55, pp.1147-1168. ⟨10.1007/s11004-023-10063-z⟩

Article dans une revue hal-04055824v1
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Data Assimilation Networks

Pierre Boudier , Anthony Fillion , Serge Gratton , Selime Gürol , Sixin Zhang

Journal of Advances in Modeling Earth Systems, 2023, 15 (4), 17 p. ⟨10.1029/2022MS003353⟩

Article dans une revue hal-04733065v1

A note on inexact inner products in GMRES

Serge Gratton , Ehouarn Simon , David Titley-Peloquin , Philippe Toint

SIAM Journal on Matrix Analysis and Applications, 2022, 43 (3), pp.1406-1422. ⟨10.1137/20M1320018⟩

Article dans une revue hal-03637231v1

OFFO minimization algorithms for second-order optimality and their complexity

Serge Gratton , Philippe L. Toint

Computational Optimization and Applications, 2022, 84, pp.573-607. ⟨10.1007/s10589-022-00435-2⟩

Article dans une revue hal-03993071v2

Lp‐norm regularization approaches in variational data assimilation

Antoine Bernigaud , Serge Gratton , Flavia Lenti , Ehouarn Simon , Oumaima Sohab

Quarterly Journal of the Royal Meteorological Society, 2021, 147 (736), pp.2067 - 2081. ⟨10.1002/qj.4010⟩

Article dans une revue hal-03160275v1
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Latent space data assimilation by using deep learning

Mathis Peyron , Anthony Fillion , Selime Gürol , Serge Gratton , Pierre Boudier et al.

Quarterly Journal of the Royal Meteorological Society, 2021, 147 (740, Part A), pp.3759-3777. ⟨10.1002/qj.4153⟩

Article dans une revue hal-03973243v1

Minimizing convex quadratics with variable precision conjugate gradients

Serge Gratton , Ehouarn Simon , David Titley-Peloquin , Philippe Toint

Numerical Linear Algebra with Applications, 2021, 28 (1), pp.e2337

Article dans une revue hal-02959082v1
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A note on solving nonlinear optimization problems in variable precision

Serge Gratton , Ph L Toint

Computational Optimization and Applications, 2020, pp.1-15

Article dans une revue hal-02943237v1
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On Iterative Solution of the Extended Normal Equations

Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

SIAM Journal on Matrix Analysis and Applications, 2020, 41 (4), pp.1571-1589. ⟨10.1137/19M1288644⟩

Article dans une revue hal-02973994v1

An Iterative Ensemble Kalman Smoother in Presence of Additive Model Error

Anthony Fillion , Marc Bocquet , Serge Gratton , Selime Gürol , Pavel Sakov

SIAM/ASA Journal on Uncertainty Quantification, 2020, 8 (1), pp.198-228. ⟨10.1137/19M1244147⟩

Article dans une revue hal-02943255v1
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On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method

Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

Optimization Methods and Software, 2020, 16 p

Article dans une revue hal-02943228v1
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An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity

Serge Gratton , Ehouarn Simon , Philippe Toint

Mathematical Programming, Series A, 2020, 187, p. 1-24. ⟨10.1007/s10107-020-01466-5⟩

Article dans une revue hal-02943960v1
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On a multilevel Levenberg–Marquardt method for the training of artificial neural networks and its application to the solution of partial differential equations

Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

Optimization Methods and Software, 2020, pp.1-26. ⟨10.1080/10556788.2020.1775828⟩

Article dans une revue hal-02956018v1
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On high-order multilevel optimization strategies

Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

SIAM Journal on Optimization, 2020, 31 (1), pp.307-330. ⟨10.1137/19M1255355⟩

Article dans une revue hal-02943229v1

A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds

Serge Gratton , Clément Royer , Luís N. Vicente

Mathematical Programming, 2020, 179 (1-2), pp.195-222. ⟨10.1007/s10107-018-1328-7⟩

Article dans une revue hal-02774511v1
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ON THE ITERATIVE SOLUTION OF SYSTEMS OF THE FORM A T Ax = A T b + c

Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

SIAM Journal on Matrix Analysis and Applications, 2020, pp.1-25

Article dans une revue hal-02943217v1

On the convergence of a non-linear ensemble Kalman smoother

El Houcine Bergou , Serge Gratton , Jan Mandel

Applied Numerical Mathematics: an IMACS journal, 2019, 137, pp.151-168. ⟨10.1016/j.apnum.2018.11.008⟩

Article dans une revue hal-02618742v1
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Modelling spatially correlated observation errors in variational data assimilation using a diffusion operator on an unstructured mesh

Oliver Guillet , Anthony T. Weaver , Xavier Vasseur , Yann Michel , Serge Gratton et al.

Quarterly Journal of the Royal Meteorological Society, 2019, pp.1-21. ⟨10.1002/qj.3537⟩

Article dans une revue hal-02160404v1

Direct search based on probabilistic feasible descent for bound and linearly constrained problems

Serge Gratton , Clément Royer , Luís N. Vicente , Zaikun Zhang

Computational Optimization and Applications, 2019, 72 (3), pp.525-559. ⟨10.1007/s10589-019-00062-4⟩

Article dans une revue hal-02774086v1

How the Invasion Zone Can Contribute to the Estimation of Petrophysical Properties From Log Inversion at Well Scale?

Thibaud Vandamme , Emmanuel Caroli , Serge Gratton

Petrophysics – The SPWLA Journal of Formation Evaluation and Reservoir Description, 2019, 60 (2), pp.306-325. ⟨10.30632/PJV60N2-2019a8⟩

Article dans une revue hal-03973256v1
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Low rank updates in preconditioning the saddle point systems arising from data assimilation problems

Matthew C. Fisher , Serge Gratton , Selime Gurol , Y. Trémolet , Xavier Vasseur

Optimization Methods and Software, 2018, 33 (1), pp.45-69. ⟨10.1080/10556788.2016.1264398⟩

Article dans une revue hal-03612700v1

Guaranteeing the convergence of the saddle formulation for weakly constrained 4D‐Var data assimilation

Serge Gratton , Selime Gürol , Ehouarn Simon , Philippe Toint

Quarterly Journal of the Royal Meteorological Society, 2018, 144 (717), pp.2592-2602. ⟨10.1002/qj.3355⟩

Article dans une revue hal-02959392v1
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Complexity and global rates of trust-region methods based on probabilistic mode

Serge Gratton , Clément Royer , Luis Vicente , Zaikun Zhang

IMA Journal of Numerical Analysis, 2018, 38 (3), pp.1579-1597. ⟨10.1093/imanum/drx043⟩

Article dans une revue hal-02147973v1

A note on preconditioning weighted linear least-squares, with consequences for weakly constrained variational data assimilation

Serge Gratton , Selime Gürol , Ehouarn Simon , Philippe Toint

Quarterly Journal of the Royal Meteorological Society, 2018, 144 (712), pp.934-940. ⟨10.1002/qj.3262⟩

Article dans une revue hal-02959395v1
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A Line-Search Algorithm Inspired by the Adaptive Cubic Regularization Framework and Complexity Analysis

El Houcine Bergou , Youssef Diouane , Serge Gratton

Journal of Optimization Theory and Applications, 2018, 178 (3), pp.885-913. ⟨10.1007/s10957-018-1341-2⟩

Article dans une revue hal-01872831v1
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Improved Bounds for Small-Sample Estimation

Serge Gratton , David Titley-Peloquin

SIAM Journal on Matrix Analysis and Applications, 2018, 39 (2), pp.922-931

Article dans une revue hal-02147979v1
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A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients

Stefania Bellavia , Serge Gratton , Elisa Riccietti

Numerische Mathematik, 2018, 140 (3), pp.791-825. ⟨10.1007/s00211-018-0977-z⟩

Article dans une revue hal-03126963v1
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Quasi-static ensemble variational data assimilation: a theoretical and numerical study with the iterative ensemble Kalman smoother

Anthony Fillion , Marc Bocquet , Serge Gratton

Nonlinear Processes in Geophysics, 2018, 25, pp.315-334. ⟨10.5194/npg-25-315-2018⟩

Article dans une revue hal-02147982v1
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Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening

Thibaut Lunet , Julien Bodart , Serge Gratton , Xavier Vasseur

Computing and Visualization in Science, 2018, Special Issue Parallel-in-Time Methods, 19, pp.31-44. ⟨10.1007/s00791-018-0295-0⟩

Article dans une revue hal-03620103v1
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On the use of the energy norm in trust-region and adaptive cubic regularization subproblems

El Houcine Bergou , Youssef Diouane , Serge Gratton

Computational Optimization and Applications, 2017, vol. 68 (n° 3), pp. 533-554. ⟨10.1007/s10589-017-9929-2⟩

Article dans une revue hal-01654736v1
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A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity

Sylvain Mercier , Serge Gratton , Nicolas Tardieu , Xavier Vasseur

Computational Mechanics, 2017, 60 (6), pp.969-982. ⟨10.1007/s00466-017-1450-z⟩

Article dans une revue hal-03612688v1
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An indicator for the switch from derivative-free to derivative-based optimization.

Serge Gratton , Nacer Soualmi , Luis Vicente

Operations Research Letters, 2017, 45 (4), pp.353-361. ⟨10.1016/j.orl.2017.05.003⟩

Article dans une revue hal-03512073v1
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On the symmetric componen twise relative backward error for linear systems of equations

Stanley Eisenstadt , Serge Gratton , David Titley-Peloquin

SIAM Journal on Matrix Analysis and Applications, 2017, 38 (4), pp.1100-1115. ⟨10.1137/140986566⟩

Article dans une revue hal-02147985v1
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A conjugate gradient like method for p-norm minimization in functional spaces.

Claudio Estatico , Serge Gratton , Flavia Lenti , David Titley-Peloquin

Numerische Mathematik, 2017, 137 (4), pp.895-922. ⟨10.1007/s00211-017-0893-7⟩

Article dans une revue hal-03512093v1

On a second-order expansion of the truncated singular subspace decomposition

Serge Gratton , Jean Tshimanga Ilunga

Numerical Linear Algebra with Applications, 2016, 23 (3), pp.519--534

Article dans une revue hal-03165023v1
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Hybrid Levenberg–Marquardt and weak-constraint ensemble Kalman smoother method

J. Mandel , El Houcine Bergou , S. Gürol , Serge Gratton , I. Kasanický

Nonlinear Processes in Geophysics, 2016, 23 (2), pp.59-73. ⟨10.5194/npg-23-59-2016⟩

Article dans une revue hal-02637237v1
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Hybrid Levenberg-Marquardt and weak constraint ensemble Kalman smoother method, Nonlinear Processes in Geophysics

Jan Mandel , El Houcine Bergou , Selime Gurol , Serge Gratton

Nonlinear Processes in Geophysics, 2016, 23, pp.59--73. ⟨10.5194/npgd-2-865-2015⟩

Article dans une revue hal-03165022v1

Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics

Serge Gratton , Sylvain Mercier , Nicolas Tardieu , Xavier Vasseur

Numerical Linear Algebra with Applications, 2016, 23 (5), pp.865--887. ⟨10.1002/nla.2058⟩

Article dans une revue istex hal-03165024v1
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Levenberg-Marquardt methods based on probabilistic gradient models and inexact subproblem solution, with application to data assimilation

El Houcine Bergou , Serge Gratton , Luis Vicente

SIAM/ASA Journal on Uncertainty Quantification, 2016, 4 (1), pp.924-951. ⟨10.1137/140974687⟩

Article dans une revue hal-02147989v1

Reducing complexity of algebraic multigrid by aggregation

Serge Gratton , Pascal Hénon , Pavel Jiránek , Xavier Vasseur

Numerical Linear Algebra with Applications, 2016, pp.501--518. ⟨10.1002/nla.2036⟩

Article dans une revue istex hal-03165028v1
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Quasi-Newton updates with weighted secant equations

Serge Gratton , Vincent Malmedy , Philippe Toint

Optimization Methods and Software, 2015, 30 (4), pp.748-755. ⟨10.1080/10556788.2014.971025⟩

Article dans une revue hal-02147968v1

A second-order globally convergent direct-search method and its worst-case complexity

S. Gratton , C. Royer , L. Vicente

Optimization, 2015, 65 (6), pp.1105-1128. ⟨10.1080/02331934.2015.1124271⟩

Article dans une revue hal-03707445v1
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Sequential estimation of surface water mass changes from daily satellite gravimetry data

Guillaume Ramillien , Frank Frappart , Serge Gratton , Xavier Vasseur

Journal of Geodesy, 2015, 89 (3), pp.259-282. ⟨10.1007/s00190-014-0772-2⟩

Article dans une revue hal-02181991v1
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A Parallel Evolution Strategy for an Earth Imaging Problem in Geophysics

Youssef Diouane , Serge Gratton , Xavier Vasseur , L. Nunes Vicente , Henri Calandra

Optimization and Engineering, 2015, pp.1-24. ⟨10.1007/s11081-015-9296-8⟩

Article dans une revue hal-01396146v1
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Globally convergent evolution strategies for constrained optimization

Youssef Diouane , Serge Gratton , L. Nunes Vicente

Computational Optimization and Applications, 2015, vol. 62 (n° 2), pp. 323-346. ⟨10.1007/s10589-015-9747-3⟩

Article dans une revue hal-01391788v1
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A second-order globally convergent direct-search method and its worst-case complexity

Serge Gratton , Clément Royer , Luis Vicente

Optimization, 2015, 65 (6), pp.1105-1128. ⟨10.1080/02331934.2015.1124271⟩

Article dans une revue hal-01515985v1
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Direct Search Based on Probabilistic Descent

Serge Gratton , Clément Royer , Luis Vicente , Zaikun Zhang

SIAM Journal on Optimization, 2015, vol. 25 (n° 3), pp. 1515-1541. ⟨10.1137/140961602⟩

Article dans une revue hal-01523690v1
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Globally convergent evolution strategies

Youssef Diouane , Serge Gratton , L. Nunes Vicente

Mathematical Programming, 2015, vol. 152 (n° 1), pp. 467-490. ⟨10.1007/s10107-014-0793-x⟩

Article dans une revue hal-01391780v1

Observation thinning in data assimilation computations

Serge Gratton , Monserrat Rincon-Camacho , Ehouarn Simon , Philippe Toint

EURO Journal on Computational Optimization, 2015, 3 (1), pp.31-51. ⟨10.1007/s13675-014-0025-4⟩

Article dans une revue hal-02960628v1

Conjugate-gradients versus multigrid solvers for diffusion-based correlation models in data assimilation

Serge Gratton , Philippe Toint , Jean Tshimanga Ilunga

Quarterly Journal of the Royal Meteorological Society, 2014, 139 (675), pp.1481--1487

Article dans une revue hal-03224130v1

Differentiating the Method of Conjugate Gradients

Serge Gratton , David Titley-Peloquin , Philippe Toint , Jean Tshimanga Ilunga

SIAM Journal on Matrix Analysis and Applications, 2014, 35 (1), pp.110--126. ⟨10.1137/120889848⟩

Article dans une revue hal-03224134v1
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Stochastic conditionin g of matrix functions

Serge Gratton , David Titley-Peloquin

SIAM/ASA Journal on Uncertainty Quantification, 2014, 2 (1), pp.763-783. ⟨10.1137/140973827⟩

Article dans une revue hal-02147970v1
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A merit function approach for direct search

Serge Gratton , Luis Vicente

SIAM Journal on Optimization, 2014, 24 (4), pp.1980-1998. ⟨10.1137/130917661⟩

Article dans une revue hal-03519555v1

Derivative-free optimization for large-scale nonlinear data assimilation problems

Serge Gratton , Patrick Laloyaux , Annick Sartenaer

Quarterly Journal of the Royal Meteorological Society, 2014, 140 (680), pp.943-957. ⟨10.1002/qj.2169⟩

Article dans une revue hal-03224133v1
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The exact condition number of the truncated singular value solution of a linear ill-posed problem

El Houcine Bergou , Serge Gratton , Jean Tshimanga Ilunga

SIAM Journal on Mathematical Analysis, 2014, 35 (3), pp.1073-1085. ⟨10.1137/120869286⟩

Article dans une revue hal-02147972v1

B-preconditioned minimization algorithms for variational data assimilation with the dual formulation

Selime Gurol , Anthony Weaver , Andy Moore , Andrea Piaccentini , Henry Arango et al.

Quarterly Journal of the Royal Meteorological Society, 2013, 140 (679), pp.539--556. ⟨10.1002/qj.2150⟩

Article dans une revue hal-03224132v1

A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides

Henri Calandra , Serge Gratton , Rafael Lago , Xavier Vasseur , Luiz Mariano Carvalho

SIAM Journal on Scientific Computing, 2013, 35 (5), pp.S345-S367. ⟨10.1137/120883037⟩

Article dans une revue hal-01332933v1

Sensitivity and Conditioning of the Truncated Total Least Squares Solution

Serge Gratton , David Titley-Peloquin , Jean Tshimanga Ilunga

SIAM Journal on Matrix Analysis and Applications, 2013, 34 (3), pp.1257-1276. ⟨10.1137/120895019⟩

Article dans une revue hal-03708015v1
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Variational assimilation for xenon dynamical forecasts in neutronic using advanced background error covariance matrix modelling

Angélique Ponçot , Jean-Philippe Argaud , Bertrand Bouriquet , Patrick Erhard , Serge Gratton et al.

Annals of Nuclear Energy, 2013, vol. 60, pp. 39-50. ⟨10.1016/j.anucene.2013.04.026⟩

Article dans une revue hal-00832455v1

Conjugate gradients versus multigrid solvers for diffusion-based correlation models in data assimilation

S. Gratton , P. Toint , J. Tshimanga

Quarterly Journal of the Royal Meteorological Society, 2013, 139 (675), pp.1481-1487. ⟨10.1002/qj.2050⟩

Article dans une revue hal-03708017v1

Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems

Serge Gratton , Selime Gürol , Philippe Toint

Computational Optimization and Applications, 2013, 54 (1), pp.1-25. ⟨10.1007/s10589-012-9478-7⟩

Article dans une revue istex hal-03708003v1

Simple backward error bounds for linear least-squares problems

Serge Gratton , Pavel Jiránek , David Titley-Peloquin

Linear Algebra and its Applications, 2013, 439 (1), pp.78-89. ⟨10.1016/j.laa.2013.03.007⟩

Article dans une revue hal-03708004v1

An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media

Henri Calandra , Serge Gratton , Xavier Pinel , Xavier Vasseur

Numerical Linear Algebra with Applications, 2013, 20 (4), pp.663-688. ⟨10.1002/nla.1860⟩

Article dans une revue istex hal-03708002v1
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Constrained Regional Recovery of Continental Water Mass Time-variations from GRACE-based Geopotential Anomalies over South America

Guillaume Ramillien , Lucia Seoane , Frédéric Frappart , Richard Biancale , Serge Gratton et al.

Surveys in Geophysics, 2012, 33 (5), pp.887-905. ⟨10.1007/s10712-012-9177-z⟩

Article dans une revue hal-00743877v1

Using approximate secant equations in limited memory methods for multilevel unconstrained optimization

Serge Gratton , Vincent Malmedy , Philippe L. Toint

Computational Optimization and Applications, 2012, 51 (3), pp.967-979. ⟨10.1007/s10589-011-9393-3⟩

Article dans une revue istex hal-03973278v1

Flexible Variants of Block Restarted GMRES Methods with Application to Geophysics

Henri Calandra , Serge Gratton , Julien Langou , Xavier Pinel , Xavier Vasseur

SIAM Journal on Scientific Computing, 2012, 3 (2), pp.A714-A736. ⟨10.1137/10082364X⟩

Article dans une revue hal-01332926v1

A surrogate management framework using rigorous trust-region steps

Serge Gratton , Luis Vicente

Optimization Methods and Software, 2012, 29, pp.10--23. ⟨10.1080/10556788.2012.719508⟩

Article dans une revue hal-03224129v1

An active-set trust-region method for derivative-free nonlinear bound-constrained optimization

Serge Gratton , Philippe Toint , Anke Tröltzsch

Optimization Methods and Software, 2011, 26 (4-5), pp.873-894. ⟨10.1080/10556788.2010.549231⟩

Article dans une revue hal-03707975v1

GRACE-derived surface water mass anomalies by energy integral approach: application to continental hydrology

Guillaume Ramillien , R. Biancale , S. Gratton , X. Vasseur , S. Bourgogne

Journal of Geodesy, 2011, 85 (6), pp.313-328. ⟨10.1007/s00190-010-0438-7⟩

Article dans une revue istex hal-03707978v1

A reduced and limited-memory preconditioned approach for the 4D-Var data-assimilation problem

S. Gratton , P. Laloyaux , A. Sartenaer , J. Tshimanga

Quarterly Journal of the Royal Meteorological Society, 2011, 137 (655), pp.452-466. ⟨10.1002/qj.743⟩

Article dans une revue hal-03707961v1

On A Class of Limited Memory Preconditioners For Large Scale Linear Systems With Multiple Right-Hand Sides

S. Gratton , A. Sartenaer , J. Tshimanga

SIAM Journal on Optimization, 2011, 21 (3), pp.912-935. ⟨10.1137/08074008⟩

Article dans une revue hal-03707973v1

A Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting

L. Carvalho , S. Gratton , R. Lago , X. Vasseur

SIAM Journal on Matrix Analysis and Applications, 2011, 32 (4), pp.1212-1235. ⟨10.1137/100786253⟩

Article dans une revue hal-03707966v1

An active-set trust-region method for derivative-free nonlinear bound-constrained optimization

Serge Gratton , Philippe Toint , Anke Tröltzsch

Optimization Methods and Software, 2011, 26 (4-5), pp.873-894. ⟨10.1080/10556788.2010.549231⟩

Article dans une revue hal-03707957v1

A Contribution to the Conditioning of the Total Least-Squares Problem

Marc Baboulin , Serge Gratton

SIAM Journal on Matrix Analysis and Applications, 2011, 32 (3), pp.685-699. ⟨10.1137/090777608⟩

Article dans une revue hal-03707969v1
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A Flexible Generalized Conjugate Residual Method with Inner Orthogonalization and Deflated Restarting

Luiz Mariano Carvalho , Serge Gratton , Rafael Lago , Xavier Vasseur

SIAM Journal on Matrix Analysis and Applications, 2011, 32 (4), pp.1212 - 1235. ⟨10.1137/100786253⟩

Article dans une revue hal-00650239v2

GRACE-derived surface water mass anomalies by energy integral approach: application to continental hydrology

Guillaume Ramillien , R. Biancale , S. Gratton , X. Vasseur , S. Bourgogne

Journal of Geodesy, 2011, 85 (6), pp.313-328. ⟨10.1007/s00190-010-0438-7⟩

Article dans une revue istex hal-03707959v1

Stopping rules and backward error analysis for bound-constrained optimization

Serge Gratton , Mélodie Mouffe , Philippe Toint

Numerische Mathematik, 2011, 119 (1), pp.163-187. ⟨10.1007/s00211-011-0376-1⟩

Article dans une revue istex hal-03707967v1

Range-Space Variants and Inexact Matrix-Vector Products in Krylov Solvers for Linear Systems Arising from Inverse Problems

Serge Gratton , Philippe L. Toint , Jean Tshimanga Ilunga

SIAM Journal on Matrix Analysis and Applications, 2011, 32 (3), pp.665-1078. ⟨10.1137/090780493⟩

Article dans une revue hal-03973332v1

Fast regularized linear sampling for inverse scattering problems

M'Barek Fares , Serge Gratton , Philippe Toint

Numerical Linear Algebra with Applications, 2011, 18 (1), pp.55-68. ⟨10.1002/nla.698⟩

Article dans une revue istex hal-03707963v1

Pseudo-clock Biases for Precise Point Positioning – The Algebraic Approach

André Lannes , Serge Gratton , Stéphane Durand

Journal of Global Positioning Systems (JGPS) , 2010, 9 (1), pp.68-77. ⟨10.5081/jgps.9.1.68⟩

Article dans une revue hal-00557097v1

Flexible GMRES with deflated restarting

Luc Giraud , Serge Gratton , Xavier Pinel , Xavier Vasseur

SIAM Journal on Scientific Computing, 2010, 32 (4), pp.1858--1878. ⟨10.1137/080741847⟩

Article dans une revue inria-00542426v1

Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization

Serge Gratton , Mélodie Mouffe , Annick Sartenaer , Philippe Toint , Dimitri Tomanos

Optimization Methods and Software, 2010, 25 (3), pp.359-386. ⟨10.1080/10556780903239295⟩

Article dans une revue hal-03707925v1

GNSS networks in algebraic graph theory, Journal of Global Positioning Systems

André Lannes , Serge Gratton

Journal of Global Positioning Systems, 2009, 8 (1), pp.53-75

Article dans une revue hal-00441978v1

Parallel Tools for Solving Incremental Dense Least Squares Problems: Application to Space Geodesy

Marc Baboulin , Luc Giraud , Serge Gratton , Julien Langou

Journal of Algorithms and Computational Technology, 2009, 3 (1), pp.117-133. ⟨10.1260/174830109787186541⟩

Article dans une revue hal-03973310v1

Using dual techniques to derive componentwise and mixed condition numbers for a linear function of a linear least squares solution

Marc Baboulin , Serge Gratton

BIT Numerical Mathematics, 2009, 49 (1), pp.3-19. ⟨10.1007/s10543-009-0213-4⟩

Article dans une revue istex hal-03707934v1

Computing the conditioning of the components of a linear least-squares solution

Marc Baboulin , Jack Dongarra , Serge Gratton , Julien Langou

Numerical Linear Algebra with Applications, 2009, 16 (7), pp.517-533. ⟨10.1002/nla.627⟩

Article dans une revue hal-03707929v1

Newton's method for the common eigenvector problem

Abdellatif El Ghazi , Said El Hajji , Luc Giraud , Serge Gratton

Journal of Computational and Applied Mathematics, 2008, 219 (2), pp.398-407. ⟨10.1016/j.cam.2007.11.009⟩

Article dans une revue hal-03707650v1

Recursive Trust-Region Methods for Multiscale Nonlinear Optimization

Serge Gratton , Annick Sartenaer , Philippe Toint

SIAM Journal on Optimization, 2008, 19 (1), pp.414-444. ⟨10.1137/050623012⟩

Article dans une revue hal-03707543v1

Algorithm 881

Valérie Frayssé , Luc Giraud , Serge Gratton

ACM Transactions on Mathematical Software, 2008, 35 (2), pp.1-12. ⟨10.1145/1377612.1377617⟩

Article dans une revue hal-03707582v1

Limited-memory preconditioners, with application to incremental four-dimensional variational data assimilation

J. Tshimanga , S. Gratton , A. Weaver , A. Sartenaer

Quarterly Journal of the Royal Meteorological Society, 2008, 134 (632), pp.751-769. ⟨10.1002/qj.228⟩

Article dans une revue hal-03707619v1

A Partial Condition Number for Linear Least Squares Problems

Mario Arioli , Marc Baboulin , Serge Gratton

SIAM Journal on Matrix Analysis and Applications, 2007, 29 (2), pp.413-433. ⟨10.1137/050643088⟩

Article dans une revue hal-03707449v1

Incremental spectral preconditioners for sequences of linear systems

L. Giraud , S. Gratton , E. Martin

Applied Numerical Mathematics: an IMACS journal, 2007, 57 (11-12), pp.1164-1180. ⟨10.1016/j.apnum.2007.01.005⟩

Article dans une revue istex hal-03707414v1

Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics

I. Duff , S. Gratton , X. Pinel , X. Vasseur

International Journal of Computer Mathematics, 2007, 84 (8), pp.1167-1181. ⟨10.1080/00207160701356076⟩

Article dans une revue hal-03707477v1

A priori selection of the regularization parameters in emission tomography by Fourier synthesis

D. Mariano-Goulart , P. Maréchal , S. Gratton , L. Giraud , M. Fourcade

Computerized Medical Imaging and Graphics, 2007, 31 (7), pp.502-509. ⟨10.1016/j.compmedimag.2007.05.003⟩

Article dans une revue istex hal-03707497v1

Convergence in Backward Error of Relaxed GMRES

L. Giraud , S. Gratton , J. Langou

SIAM Journal on Scientific Computing, 2007, 29 (2), pp.710-728. ⟨10.1137/040608416⟩

Article dans une revue hal-03707462v1

A Note on GMRES Preconditioned by a Perturbed $L D L^T$ Decomposition with Static Pivoting

M. Arioli , I. Duff , S. Gratton , S. Pralet

SIAM Journal on Scientific Computing, 2007, 29 (5), pp.2024-2044. ⟨10.1137/060661545⟩

Article dans une revue hal-03707505v1

A distributed packed storage for large dense parallel in-core calculations

Marc Baboulin , Luc Giraud , Serge Gratton , Julien Langou

Concurrency and Computation: Practice and Experience, 2007, 19 (4), pp.483-502. ⟨10.1002/cpe.1119⟩

Article dans une revue istex hal-03707948v1

Additive and Multiplicative Two-Level Spectral Preconditioning for General Linear Systems

B. Carpentieri , L. Giraud , S. Gratton

SIAM Journal on Scientific Computing, 2007, 29 (4), pp.1593-1612. ⟨10.1137/060654906⟩

Article dans une revue hal-03707474v1

Approximate Gauss–Newton Methods for Nonlinear Least Squares Problems

S. Gratton , A. Lawless , N. Nichols

SIAM Journal on Optimization, 2007, 18 (1), pp.106-132. ⟨10.1137/050624935⟩

Article dans une revue hal-03707467v1

On the Sensitivity of Some Spectral Preconditioners

L. Giraud , S. Gratton

SIAM Journal on Matrix Analysis and Applications, 2006, 27 (4), pp.1089-1105. ⟨10.1137/040617546⟩

Article dans une revue hal-03707941v1

An investigation of incremental 4D-Var using non-tangent linear models

A.S. Lawless , S. Gratton , N.K. Nichols

Quarterly Journal of the Royal Meteorological Society, 2005, 131 (606), pp.459-476. ⟨10.1256/qj.04.20⟩

Article dans une revue hal-03707402v1

Algorithm 842

Valérie Frayssé , Luc Giraud , Serge Gratton , Julien Langou

ACM Transactions on Mathematical Software, 2005, 31 (2), pp.228-238. ⟨10.1145/1067967.1067970⟩

Article dans une revue hal-03707406v1

A Parallel Distributed Solver for Large Dense Symmetric Systems: Applications to Geodesy and Electromagnetism Problems

Marc Baboulin , Luc Giraud , Serge Gratton

International Journal of High Performance Computing Applications, 2005, 19 (4), pp.353-363. ⟨10.1177/1094342005056134⟩

Article dans une revue istex hal-03707411v1

Approximate iterative methods for variational data assimilation

A. Lawless , S. Gratton , N. Nichols

International Journal for Numerical Methods in Fluids, 2005, 47 (10-11), pp.1129-1135. ⟨10.1002/fld.851⟩

Article dans une revue istex hal-03707397v1

A Rank- k Update Procedure for Reorthogonalizing the Orthogonal Factor from Modified Gram--Schmidt

Luc Giraud , Serge Gratton , Julien Langou

SIAM Journal on Matrix Analysis and Applications, 2004, 25 (4), pp.1163-1177. ⟨10.1137/S0895479803424347⟩

Article dans une revue hal-03707381v1

Problème inverse en télédétection spatiale par imagerie à synthèse d'ouverture.

Eric Anterrieu , Serge Gratton , Bruno Picard

Traitement du Signal, 2004, 21(1), pp.1-15

Article dans une revue hal-00005162v1

Use of GNSS-Based Pseudo-Acceleration Measurements and Orbital Constraints to Initialize Spaceborne Receiver Orbit Solutions

D. Laurichesse , S. Gratton , F. Mercier , T. Tournier , J. Berthias et al.

Navigation, 2003, 50 (2), pp.95-101. ⟨10.1002/j.2161-4296.2003.tb00321.x⟩

Article dans une revue hal-03708000v1

On the condition numbers associated with the polar factorization of a matrix

F. Chaitin-Chatelin , S. Gratton

Numerical Linear Algebra with Applications, 2000, 7 (5), pp.337-354. ⟨10.1002/1099-1506(200007/08)7:5<337::AID-NLA200>3.0.CO;2-4⟩

Article dans une revue istex hal-03707989v1

Structured backward error and condition number for linear systems of the type A^TA x = b

V. Frayssé , S. Gratton , V. Toumazou

BIT Numerical Mathematics, 2000, 40 (1), pp.74-83. ⟨10.1023/A:1022366318322⟩

Article dans une revue istex hal-03707394v1

On the condition number of linear least squares problems in a weighted Frobenius norm

S. Gratton

BIT Numerical Mathematics, 1996, 36 (3), pp.523-530. ⟨10.1007/BF01731931⟩

Article dans une revue istex hal-03707388v1

Convergence in finite precision of successive iteration methods under high nonnormality

F. Chaitin-Chatelin , S. Gratton

BIT Numerical Mathematics, 1996, 40 (1), pp.74-83. ⟨10.1023/A:1022366318322⟩

Article dans une revue istex hal-03708029v1