SG

Serge Gratton

Professor of applied mathematics at Toulouse-INP/IRIT Scientific Director of ANITI
116
Documents

Publications

Publications

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-04096465 v1
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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-04165542 v1

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-04436386 v1

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-04436388 v1
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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-04436393 v1

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-04055824 v1

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)
Article dans une revue hal-03637231 v1

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-03993071 v2

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-03160275 v1
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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-03973243 v1

Minimizing convex quadratics with variable precision conjugate gradients

Serge Gratton , Ehouarn Simon , David Titley-Peloquin , Philippe Toint
Numerical Linear Algebra with Applications, 2021, 28 (e2337)
Article dans une revue hal-02959082 v1
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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
Article dans une revue hal-02943228 v1
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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-02973994 v1
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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-02943237 v1

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-02943255 v1
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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, ⟨10.1007/s10107-020-01466-5⟩
Article dans une revue hal-02943960 v1
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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-02943229 v1
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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-02956018 v1

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-02774511 v1
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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-02943217 v1

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-02774086 v1
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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-02160404 v1

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-02618742 v1

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-03973256 v1

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-02959392 v1
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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-02147973 v1
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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-03612700 v1

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-02959395 v1
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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-01872831 v1
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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-03126963 v1
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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-02147979 v1
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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-03620103 v1
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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-02147982 v1
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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-01654736 v1
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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-03612688 v1
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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-03512073 v1
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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-02147985 v1
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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-03512093 v1

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-03165023 v1
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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-03165022 v1
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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-02637237 v1

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-03165024 v1
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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-02147989 v1

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-03165028 v1

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-03707445 v1
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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-01396146 v1
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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-01391788 v1
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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-02181991 v1
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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-02147968 v1
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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-01515985 v1
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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-01523690 v1
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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-01391780 v1

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-02960628 v1

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-03224130 v1

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-03224134 v1
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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-03519555 v1
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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-02147970 v1

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-03224133 v1
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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-02147972 v1

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-03708017 v1

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-01332933 v1

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-03224132 v1

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-03708015 v1
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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-00832455 v1

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-03708004 v1

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-03708003 v1

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-03708002 v1
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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-00743877 v1

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-03973278 v1

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-03224129 v1

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-01332926 v1

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-03707969 v1

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-03707975 v1

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-03707978 v1

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-03707961 v1

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-03707973 v1

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-03707966 v1

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-03707957 v1

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-03707959 v1

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-03707967 v1
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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-00650239 v2

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-03973332 v1

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-03707963 v1

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-00557097 v1

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-00542426 v1

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-03707925 v1

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-00441978 v1

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

Marc Baboulin , Luc Giraud , Serge Gratton , Julien Langou
Journal of Algorithms & Computational Technology, 2009, 3 (1), pp.117-133. ⟨10.1260/174830109787186541⟩
Article dans une revue hal-03973310 v1

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-03707934 v1

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-03707929 v1

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-03707650 v1

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-03707543 v1

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-03707582 v1

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-03707619 v1

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-03707497 v1

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-03707449 v1

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-03707477 v1

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-03707414 v1

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-03707462 v1

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-03707948 v1

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-03707505 v1

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-03707467 v1

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-03707474 v1

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-03707941 v1

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-03707406 v1

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-03707411 v1

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-03707402 v1

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-03707397 v1

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-03707381 v1

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-00005162 v1

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-03708000 v1

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-03707989 v1

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-03707394 v1

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-03707388 v1

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-03708029 v1