|
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
Article dans une revue
hal-04096465
v1
|
|
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
Article dans une revue
hal-04165542
v1
|
|
An adaptive regularization method in Banach spaces
Serge Gratton
,
Sadok Jerad
,
Philippe L. Toint
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
Article dans une revue
hal-04436388
v1
|
|
Multilevel Objective-Function-Free Optimization with an Application to Neural Networks Training
Serge Gratton
,
Alena Kopaničáková
,
Philippe L. Toint
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
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
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
|
|
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
|
|
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
|
|
On Iterative Solution of the Extended Normal Equations
Henri Calandra
,
Serge Gratton
,
Elisa Riccietti
,
Xavier Vasseur
Article dans une revue
hal-02973994
v1
|
|
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
Article dans une revue
hal-02943255
v1
|
|
An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity
Serge Gratton
,
Ehouarn Simon
,
Philippe Toint
Article dans une revue
hal-02943960
v1
|
|
On high-order multilevel optimization strategies
Henri Calandra
,
Serge Gratton
,
Elisa Riccietti
,
Xavier Vasseur
Article dans une revue
hal-02943229
v1
|
|
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
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
Article dans une revue
hal-02774511
v1
|
|
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
Article dans une revue
hal-02774086
v1
|
|
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
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
|
|
Complexity and global rates of trust-region methods based on probabilistic mode
Serge Gratton
,
Clément Royer
,
Luis Vicente
,
Zaikun Zhang
Article dans une revue
hal-02147973
v1
|
|
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
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
|
|
A Line-Search Algorithm Inspired by the Adaptive Cubic Regularization Framework and Complexity Analysis
El Houcine Bergou
,
Youssef Diouane
,
Serge Gratton
Article dans une revue
hal-01872831
v1
|
|
A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients
Stefania Bellavia
,
Serge Gratton
,
Elisa Riccietti
Article dans une revue
hal-03126963
v1
|
|
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
|
|
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening
Thibaut Lunet
,
Julien Bodart
,
Serge Gratton
,
Xavier Vasseur
Article dans une revue
hal-03620103
v1
|
|
Quasi-static ensemble variational data assimilation: a theoretical and numerical study with the iterative ensemble Kalman smoother
Anthony Fillion
,
Marc Bocquet
,
Serge Gratton
Article dans une revue
hal-02147982
v1
|
|
On the use of the energy norm in trust-region and adaptive cubic regularization subproblems
El Houcine Bergou
,
Youssef Diouane
,
Serge Gratton
Article dans une revue
hal-01654736
v1
|
|
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
Article dans une revue
hal-03612688
v1
|
|
An indicator for the switch from derivative-free to derivative-based optimization.
Serge Gratton
,
Nacer Soualmi
,
Luis Vicente
Article dans une revue
hal-03512073
v1
|
|
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
|
|
A conjugate gradient like method for p-norm minimization in functional spaces.
Claudio Estatico
,
Serge Gratton
,
Flavia Lenti
,
David Titley-Peloquin
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
|
|
Hybrid Levenberg-Marquardt and weak constraint ensemble Kalman smoother method, Nonlinear Processes in Geophysics
Jan Mandel
,
El Houcine Bergou
,
Selime Gurol
,
Serge Gratton
Article dans une revue
hal-03165022
v1
|
|
Hybrid Levenberg–Marquardt and weak-constraint ensemble Kalman smoother method
J. Mandel
,
El Houcine Bergou
,
S. Gürol
,
Serge Gratton
,
I. Kasanický
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
Article dans une revue
istex
hal-03165024
v1
|
|
Levenberg-Marquardt methods based on probabilistic gradient models and inexact subproblem solution, with application to data assimilation
El Houcine Bergou
,
Serge Gratton
,
Luis Vicente
Article dans une revue
hal-02147989
v1
|
|
Reducing complexity of algebraic multigrid by aggregation
Serge Gratton
,
Pascal Hénon
,
Pavel Jiránek
,
Xavier Vasseur
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
Article dans une revue
hal-03707445
v1
|
|
A Parallel Evolution Strategy for an Earth Imaging Problem in Geophysics
Youssef Diouane
,
Serge Gratton
,
Xavier Vasseur
,
L. Nunes Vicente
,
Henri Calandra
Article dans une revue
hal-01396146
v1
|
|
Globally convergent evolution strategies for constrained optimization
Youssef Diouane
,
Serge Gratton
,
L. Nunes Vicente
Article dans une revue
hal-01391788
v1
|
|
Sequential estimation of surface water mass changes from daily satellite gravimetry data
Guillaume Ramillien
,
Frank Frappart
,
Serge Gratton
,
Xavier Vasseur
Article dans une revue
hal-02181991
v1
|
|
Quasi-Newton updates with weighted secant equations
Serge Gratton
,
Vincent Malmedy
,
Philippe Toint
Article dans une revue
hal-02147968
v1
|
|
A second-order globally convergent direct-search method and its worst-case complexity
Serge Gratton
,
Clément Royer
,
Luis Vicente
Article dans une revue
hal-01515985
v1
|
|
Direct Search Based on Probabilistic Descent
Serge Gratton
,
Clément Royer
,
Luis Vicente
,
Zaikun Zhang
Article dans une revue
hal-01523690
v1
|
|
Globally convergent evolution strategies
Youssef Diouane
,
Serge Gratton
,
L. Nunes Vicente
Article dans une revue
hal-01391780
v1
|
|
Observation thinning in data assimilation computations
Serge Gratton
,
Monserrat Rincon-Camacho
,
Ehouarn Simon
,
Philippe Toint
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
|
|
A merit function approach for direct search
Serge Gratton
,
Luis Vicente
Article dans une revue
hal-03519555
v1
|
|
Stochastic conditionin g of matrix functions
Serge Gratton
,
David Titley-Peloquin
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
|
|
The exact condition number of the truncated singular value solution of a linear ill-posed problem
El Houcine Bergou
,
Serge Gratton
,
Jean Tshimanga Ilunga
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
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
|
|
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.
Article dans une revue
hal-00832455
v1
|
|
Simple backward error bounds for linear least-squares problems
Serge Gratton
,
Pavel Jiránek
,
David Titley-Peloquin
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
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
Article dans une revue
istex
hal-03708002
v1
|
|
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.
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
Article dans une revue
istex
hal-03973278
v1
|
|
A surrogate management framework using rigorous trust-region steps
Serge Gratton
,
Luis Vicente
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
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
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
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
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
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
Article dans une revue
istex
hal-03707959
v1
|
|
Stopping rules and backward error analysis for bound-constrained optimization
Serge Gratton
,
Mélodie Mouffe
,
Philippe Toint
Article dans une revue
istex
hal-03707967
v1
|
|
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
Article dans une revue
hal-00557097
v1
|
|
Flexible GMRES with deflated restarting
Luc Giraud
,
Serge Gratton
,
Xavier Pinel
,
Xavier Vasseur
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
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
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
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
Article dans une revue
hal-03707650
v1
|
|
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
Serge Gratton
,
Annick Sartenaer
,
Philippe Toint
Article dans une revue
hal-03707543
v1
|
|
Algorithm 881
Valérie Frayssé
,
Luc Giraud
,
Serge Gratton
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
Article dans une revue
istex
hal-03707497
v1
|
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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
|
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Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics
I. Duff
,
S. Gratton
,
X. Pinel
,
X. Vasseur
Article dans une revue
hal-03707477
v1
|
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Incremental spectral preconditioners for sequences of linear systems
L. Giraud
,
S. Gratton
,
E. Martin
Article dans une revue
istex
hal-03707414
v1
|
|
Convergence in Backward Error of Relaxed GMRES
L. Giraud
,
S. Gratton
,
J. Langou
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
Article dans une revue
hal-03707505
v1
|
|
Approximate Gauss–Newton Methods for Nonlinear Least Squares Problems
S. Gratton
,
A. Lawless
,
N. Nichols
Article dans une revue
hal-03707467
v1
|
|
Additive and Multiplicative Two-Level Spectral Preconditioning for General Linear Systems
B. Carpentieri
,
L. Giraud
,
S. Gratton
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
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
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
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.
Article dans une revue
hal-03708000
v1
|
|
On the condition numbers associated with the polar factorization of a matrix
F. Chaitin-Chatelin
,
S. Gratton
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
Article dans une revue
istex
hal-03707394
v1
|
|
On the condition number of linear least squares problems in a weighted Frobenius norm
S. Gratton
Article dans une revue
istex
hal-03707388
v1
|
|
Convergence in finite precision of successive iteration methods under high nonnormality
F. Chaitin-Chatelin
,
S. Gratton
Article dans une revue
istex
hal-03708029
v1
|