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Self characterization of modelling parameters for Synthetic Aperture Imaging Radiometers.

Eric Anterrieu , Serge Gratton , Bruno Picard
Conference papers hal-00005168v1
Image document

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⟩
Journal articles hal-02637237v1

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⟩
Journal articles hal-02943255v1

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
Journal articles hal-00441978v1

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⟩
Journal articles hal-03707402v1

Incremental spectral preconditioners for sequences of linear systems

L. Giraud , S. Gratton , E. Martin
Applied Numerical Mathematics, 2007, 57 (11-12), pp.1164-1180. ⟨10.1016/j.apnum.2007.01.005⟩
Journal articles 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⟩
Journal articles hal-03707477v1

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/⟩
Journal articles hal-03707650v1

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⟩
Journal articles hal-03707957v1

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⟩
Journal articles hal-03707966v1

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⟩
Journal articles hal-03707973v1

Parametric complexity analysis for a class of first-order Adagrad-like algorithms

Serge Gratton , SADOK JERAD , Philippe L. Toint
Preprints, Working Papers, ... hal-03718810v1

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, 2023, ⟨10.1007/s11075-023-01578-x⟩
Journal articles hal-04096465v1

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 (2), pp.315-334. ⟨10.5194/npg-25-315-2018⟩
Journal articles hal-03973251v1

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⟩
Journal articles istex hal-03973278v1
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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⟩
Journal articles hal-00832455v1

On the convergence of a non-linear ensemble Kalman smoother

El Houcine Bergou , Serge Gratton , Jan Mandel
Applied Numerical Mathematics, 2019, 137, pp.151-168. ⟨10.1016/j.apnum.2018.11.008⟩
Journal articles hal-02618742v1
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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⟩
Journal articles hal-03165022v1
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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⟩
Journal articles hal-02147968v1

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, pp.2067 - 2081. ⟨10.1002/qj.4010⟩
Journal articles hal-03160275v1
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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
Journal articles hal-02943228v1

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⟩
Journal articles hal-03707969v1

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⟩
Journal articles hal-03707406v1

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⟩
Journal articles hal-03707445v1

First-Order Objective-Function-Free Optimization Algorithms and Their Complexity

Serge Gratton , SADOK JERAD , Philippe L. Toint
Preprints, Working Papers, ... hal-03718811v1

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)
Journal articles hal-03637231v1

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⟩
Journal articles hal-00557097v1
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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⟩
Journal articles hal-01654736v1
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Enrichissement de préconditionneurs pour la résolution de systèmes linéaires symétriques indéfinis

Sylvain Mercier , Serge Gratton , Nicolas Tardieu , Xavier Vasseur
12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France
Conference papers hal-01515057v1

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⟩
Journal articles hal-02959392v1