Serge Gratton

发表

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

Françoise Chaitin-Chatelin, Serge Gratton, S. Gratton, 2000, Numer. Linear Algebra Appl..

A Set of Flexible-GMRES Routines for Real and Complex Arithmetics

Luc Giraud, Serge Gratton, Valérie Frayssé, 1998 .

Conjugate gradient algorithm in Banach spaces to enhance the spatial resolution of microwave remote sensing data

Claudio Estatico, Serge Gratton, Maurizio Migliaccio, 2015, 2015 IEEE International Geoscience and Remote Sensing Symposium (IGARSS).

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

Julien Langou, Jack J. Dongarra, Serge Gratton, 2009, Numer. Linear Algebra Appl..

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

Serge Gratton, Jean Tshimanga Ilunga, S. Gratton, 2016, Numer. Linear Algebra Appl..

On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method pdf

Henri Calandra, Serge Gratton, Xavier Vasseur, 2019, ArXiv.

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

Serge Gratton, Iain S. Duff, Xavier Vasseur, 2007 .

Fast regularized linear sampling for inverse scattering problems

Serge Gratton, Philippe L. Toint, M'Barek Fares, 2011, Numer. Linear Algebra Appl..

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

Julien Langou, Luc Giraud, Serge Gratton, 2007, Concurr. Comput. Pract. Exp..

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, 2011, SIAM J. Matrix Anal. Appl..

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

Henri Calandra, Serge Gratton, Xavier Vasseur, 2013, Numer. Linear Algebra Appl..

Sensitivity and Conditioning of the Truncated Total Least Squares Solution

Serge Gratton, David Titley-Péloquin, Jean Tshimanga Ilunga, 2013, SIAM J. Matrix Anal. Appl..

Stopping rules and backward error analysis for bound-constrained optimization

Serge Gratton, Philippe L. Toint, Mélodie Mouffe, 2011, Numerische Mathematik.

On Iterative Solution of the Extended Normal Equations

Henri Calandra, Serge Gratton, Xavier Vasseur, 2020, SIAM J. Matrix Anal. Appl..

A Levenberg–Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients

Stefania Bellavia, Serge Gratton, Elisa Riccietti, 2018, Numerische Mathematik.

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

Serge Gratton, Philippe L. Toint, Selime Gürol, 2013, Comput. Optim. Appl..

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

Julien Langou, Luc Giraud, Serge Gratton, 2004, SIAM J. Matrix Anal. Appl..

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

Denis Mariano-Goulart, Luc Giraud, Serge Gratton, 2007, Comput. Medical Imaging Graph..

The Exact Condition Number of the Truncated Singular Value Solution of a Linear Ill-Posed Problem

Serge Gratton, Jean Tshimanga Ilunga, El Houcine Bergou, 2014, SIAM J. Matrix Anal. Appl..

Globally convergent evolution strategies for constrained optimization

Serge Gratton, Luís Nunes Vicente, Youssef Diouane, 2015, Comput. Optim. Appl..

Globally convergent evolution strategies

Serge Gratton, Luís Nunes Vicente, Youssef Diouane, 2015, Math. Program..

Combining Aggregation and Classical Algebraic Multigrid in the CPR-AMG Linear Solver

Serge Gratton, Xavier Vasseur, P. Jiranek, 2014 .

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, Luiz Mariano Carvalho, 2013, SIAM J. Sci. Comput..

Linear regression models, least-squares problems, normal equations, and stopping criteria for the conjugate gradient method

Serge Gratton, Mario Arioli, M. Arioli, 2012, Comput. Phys. Commun..

Recursive Trust-Region Methods for Multiscale Nonlinear Optimization

Serge Gratton, Philippe L. Toint, Annick Sartenaer, 2008, SIAM J. Optim..

On the iterative solution of systems of the form ATA x=ATb+c pdf

Henri Calandra, Serge Gratton, Xavier Vasseur, 2019, ArXiv.

Adaptive Observations And Multilevel Optimization In Data Assimilation

Serge Gratton, Ph. L. Toint, M. Monserrat Rincon-Camacho, 2013 .

International Journal of Computer Mathematics Multigrid Based Preconditioners for the Numerical Solution of Two-dimensional Heterogeneous Problems in Geophysics Multigrid Based Preconditioners for the Numerical Solution of Two-dimensional Heterogeneous Problems in Geophysics

Serge Gratton, Iain S. Duff, Xavier Vasseur, 2022 .

A model-based trust-region algorithm for DFO and its adaptation to handle noisy functions and gradients

Serge Gratton, Philippe L. Toint, Anke Troltzsch, 2012 .

Observation thinning in data assimilation computations

Serge Gratton, Philippe L. Toint, M. Monserrat Rincon-Camacho, 2015, EURO J. Comput. Optim..

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

Serge Gratton, Luís Nunes Vicente, Zaikun Zhang, 2019, Computational Optimization and Applications.

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

Serge Gratton, Philippe L. Toint, Vincent Malmedy, 2012, Comput. Optim. Appl..

Quasi-Newton updates with weighted secant equations

Serge Gratton, Philippe L. Toint, Vincent Malmedy, 2015, Optim. Methods Softw..

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

Serge Gratton, Xavier Vasseur, Sylvain Mercier, 2016, Numer. Linear Algebra Appl..

On the use of the energy norm in trust-region and adaptive cubic regularization subproblems

Serge Gratton, Youssef Diouane, El Houcine Bergou, 2017, Comput. Optim. Appl..

An indicator for the switch from derivative-free to derivative-based optimization

Serge Gratton, Luís Nunes Vicente, N. Soualmi, 2017, Oper. Res. Lett..

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

Bruno Carpentieri, Luc Giraud, Serge Gratton, 2007, SIAM J. Sci. Comput..

Statistical Estimates for the Conditioning of Linear Least Squares Problems

Alan J. Laub, Serge Gratton, Marc Baboulin, 2013, PPAM.

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

Luc Giraud, Serge Gratton, Marc Baboulin, 2005, Int. J. High Perform. Comput. Appl..

An Iterative Ensemble Kalman Smoother in Presence of Additive Model Error

Marc Bocquet, Serge Gratton, Pavel Sakov, 2020, SIAM/ASA J. Uncertain. Quantification.

Direct Search Based on Probabilistic Descent

Serge Gratton, Luís Nunes Vicente, Zaikun Zhang, 2015, SIAM J. Optim..

Evaluation of The Coherence of The Doris, Slr and GPS Reference Frames With Jason-1

Serge Gratton, Flavien Mercier, J.-P. Berthias, 2002 .

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

Serge Gratton, Andre. Lannes, 2009 .

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

Serge Gratton, Philippe L. Toint, Anke Tröltzsch, 2011, Optim. Methods Softw..

Hybrid Levenberg-Marquardt and weak-constraint ensemble Kalman smoother method

Serge Gratton, Jan Mandel, El Houcine Bergou, 2015 .

A note on solving nonlinear optimization problems in variable precision

Serge Gratton, Philippe L. Toint, P. Toint, 2018, Computational Optimization and Applications.

Stochastic Conditioning of Matrix Functions

Serge Gratton, David Titley-Péloquin, 2014, SIAM/ASA J. Uncertain. Quantification.

Understanding the effects of grid coarsening in space within the Parareal algorithm

Serge Gratton, Xavier Vasseur, Julien Bodart, 2018 .

Towards Automatic Selection of the Regularization Parameters in Emission Tomgraphy by Fourier Synthesis

Denis Mariano-Goulart, Luc Giraud, Serge Gratton, 2004, ECCV Workshops CVAMIA and MMBIA.

Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening

Serge Gratton, Xavier Vasseur, Julien Bodart, 2018, Comput. Vis. Sci..

Reducing complexity of algebraic multigrid by aggregation

Pascal Hénon, Serge Gratton, Xavier Vasseur, 2016, Numer. Linear Algebra Appl..

Flexible GMRES with Deflated Restarting

Luc Giraud, Serge Gratton, Xavier Vasseur, 2010, SIAM J. Sci. Comput..

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

Serge Gratton, Luís N. Vicente, Clément W. Royer, 2020, Math. Program..

A Geometric Multigrid Preconditioner for the Solution of the Helmholtz Equation in Three-Dimensional Heterogeneous Media on Massively Parallel Computers

Henri Calandra, Serge Gratton, Xavier Vasseur, 2017 .

Quasi-static ensemble variational data assimilation: a theoretical and numerical study with the iterative ensemble Kalman smoother

Serge Gratton, Marc Bocquet, Anthony Fillion, 2018 .

Levenberg-Marquardt Methods Based on Probabilistic Gradient Models and Inexact Subproblem Solution, with Application to Data Assimilation

Serge Gratton, Luís N. Vicente, El Houcine Bergou, 2016, SIAM/ASA J. Uncertain. Quantification.

A conjugate gradient like method for p-norm minimization in functional spaces

Claudio Estatico, Serge Gratton, Flavia Lenti, 2017, Numerische Mathematik.

A Massively Parallel Method for the Full Waveform Inversion in Geophysics: Current Status and Perspectives

Henri Calandra, Serge Gratton, Xavier Vasseur, 2017 .

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

Julien Langou, Luc Giraud, Serge Gratton, 2007 .

Algorithm 881: A Set of Flexible GMRES Routines for Real and Complex Arithmetics on High-Performance Computers

Luc Giraud, Serge Gratton, Valérie Frayssé, 2008, TOMS.

Differentiating the Method of Conjugate Gradients

Serge Gratton, Philippe L. Toint, David Titley-Péloquin, 2014, SIAM J. Matrix Anal. Appl..

Low rank updates in preconditioning the saddle point systems arising from data assimilation problems

Serge Gratton, Xavier Vasseur, Yannick Trémolet, 2018, Optim. Methods Softw..

Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers

Julien Langou, Luc Giraud, Serge Gratton, 2005, TOMS.

A Set of GMRES Routines for Real and Complex Arithmetics

Luc Giraud, Serge Gratton, Valérie Frayssé, 1997 .

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

Serge Gratton, Philippe L. Toint, Annick Sartenaer, 2010, Optim. Methods Softw..

A Note on GMRES Preconditioned by a Perturbed L D LT Decomposition with Static Pivoting

Serge Gratton, Iain S. Duff, Mario Arioli, 2007, SIAM J. Sci. Comput..

A Merit Function Approach for Direct Search

Serge Gratton, Luís Nunes Vicente, L. N. Vicente, 2014, SIAM J. Optim..

A Partial Condition Number for Linear Least Squares Problems

Serge Gratton, Mario Arioli, Marc Baboulin, 2007, SIAM J. Matrix Anal. Appl..

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

Serge Gratton, Luiz Mariano Carvalho, Xavier Vasseur, 2011, SIAM J. Matrix Anal. Appl..

A Parallel Evolution Strategy for Acoustic Full-Waveform Inversion

Henri Calandra, Serge Gratton, Xavier Vasseur, 2014, HiPC 2014.

Flexible Variants of Block Restarted GMRES Methods with Application to Geophysics

Henri Calandra, Julien Langou, Serge Gratton, 2012, SIAM J. Sci. Comput..

Convergence in Backward Error of Relaxed GMRES

Julien Langou, Luc Giraud, Serge Gratton, 2007, SIAM J. Sci. Comput..

Approximate Gauss-Newton Methods for Nonlinear Least Squares Problems

Serge Gratton, Amos S. Lawless, Nancy K. Nichols, 2007, SIAM J. Optim..

On the Accuracy of the Karlson-Waldén Estimate of the Backward Error for Linear Least Squares Problems

Serge Gratton, Pavel Jiránek, David Titley-Péloquin, 2012, SIAM J. Matrix Anal. Appl..

Improved Bounds for Small-Sample Estimation

Serge Gratton, David Titley-Péloquin, 2018, SIAM J. Matrix Anal. Appl..

Minimizing convex quadratic with variable precision Krylov methods pdf

Serge Gratton, Philippe L. Toint, Ehouarn Simon, 2018, ArXiv.

Variable Neighborhood Search for Robust Optimization and Applications to Aerodynamics

Antonio Mucherino, Serge Gratton, Xavier Vasseur, 2011, LSSC.

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

Serge Gratton, Jean Tshimanga Ilunga, Annick Sartenaer, 2011, SIAM J. Optim..

A surrogate management framework using rigorous trust-region steps

Serge Gratton, Luís Nunes Vicente, L. Vicente, 2014, Optim. Methods Softw..

Approximate invariant subspaces and quasi-newton optimization methods

Serge Gratton, Philippe L. Toint, P. Toint, 2010, Optim. Methods Softw..

Data Assimilation Networks pdf

Serge Gratton, Selime Gürol, Anthony Fillion, 2020, Journal of Advances in Modeling Earth Systems.

On the Symmetric Componentwise Relative Backward Error for Linear Systems of Equations

Serge Gratton, Stanley C. Eisenstat, David Titley-Péloquin, 2017, SIAM J. Matrix Anal. Appl..

Exploiting variable precision in GMRES pdf

Serge Gratton, Philippe L. Toint, David Titley-Péloquin, 2019, ArXiv.

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

Serge Gratton, Marc Baboulin, S. Gratton, 2010, SIAM J. Matrix Anal. Appl..

A Line-Search Algorithm Inspired by the Adaptive Cubic Regularization Framework and Complexity Analysis

Serge Gratton, Youssef Diouane, El Houcine Bergou, 2018, J. Optim. Theory Appl..

On the Sensitivity of Some Spectral Preconditioners

Luc Giraud, Serge Gratton, S. Gratton, 2005, SIAM J. Matrix Anal. Appl..

Efficient computation of condition estimates for linear least squares problems

Alan J. Laub, Serge Gratton, Marc Baboulin, 2012 .

Numerical experiments on a flexible variant of GMRES‐DR

Luc Giraud, Serge Gratton, Xavier Vasseur, 2007 .

Latent space data assimilation by using deep learning pdf

Serge Gratton, Gaël Goret, Mathis Peyron, 2021, Quarterly Journal of the Royal Meteorological Society.

A coarse space acceleration of deep-DDM pdf

Serge Gratton, Pierre Boudier, Valentin Mercier, 2021, ArXiv.

On High-Order Multilevel Optimization Strategies

Henri Calandra, Serge Gratton, Xavier Vasseur, 2019, SIAM J. Optim..

OPM, a collection of Optimization Problems in Matlab

Serge Gratton, Philippe L. Toint, 2021 .

Adaptive Regularization Minimization Algorithms with Non-Smooth Norms and Euclidean Curvature

Serge Gratton, Philippe L. Toint, 2021 .

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

Serge Gratton, Denis Laurichesse, Flavien Mercier, 2003 .

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

Serge Gratton, Annick Sartenaer, S. Gratton, 2008 .

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

Serge Gratton, S. Gratton, 1996 .

Two-Level preconditioned Krylov subspace methods for the solution of three-dimensional heterogeneous Helmholtz problems in seismics

Henri Calandra, Serge Gratton, Xavier Vasseur, 2012 .

A parallel evolution strategy for an earth imaging problem in geophysics

Henri Calandra, Serge Gratton, Xavier Vasseur, 2016 .

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

Serge Gratton, Annick Sartenaer, S. Gratton, 2011 .

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

Serge Gratton, Hernan G. Arango, A. Piacentini, 2014 .

A deflated minimal block residual method for the solution of non-hermitian linear systems with multiple right-hand sides

Henri Calandra, Serge Gratton, Luiz Mariano Carvalho, 2012 .

GLOBALLY CONVERGENT EVOLUTION STRATEGIES AND CMA-ES

Serge Gratton, Luís N. Vicente, Youssef Diouane, 2012 .

An observation‐space formulation of variational assimilation using a restricted preconditioned conjugate gradient algorithm

Serge Gratton, S. Gratton, J. Tshimanga, 2009 .

Variational assimilation for xenon dynamical forecasts in neutronic using advanced background error covariance matrix modelling

Jean-Philippe Argaud, Bertrand Bouriquet, Serge Gratton, 2013, 1304.6836.

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

Serge Gratton, S. Gratton, 1995 .

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

Serge Gratton, Philippe L. Toint, P. Toint, 2013 .

Sequential estimation of surface water mass changes from daily satellite gravimetry data

Serge Gratton, Xavier Vasseur, Guillaume Ramillien, 2015, Journal of Geodesy.

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

Françoise Chaitin-Chatelin, Serge Gratton, S. Gratton, 2000, Numer. Linear Algebra Appl..

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

Serge Gratton, Marc Baboulin, S. Gratton, 2009 .

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

Nancy Nichols, Serge Gratton, Amos S. Lawless, 2005 .

On the convergence of a non-linear ensemble Kalman smoother

Serge Gratton, Jan Mandel, S. Gratton, 2014, Applied Numerical Mathematics.

Approximate iterative methods for variational data assimilation

Nancy Nichols, Serge Gratton, Amos S. Lawless, 2005 .

Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization

Serge Gratton, Philippe L. Toint, Annick Sartenaer, 2006 .

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

Serge Gratton, Philippe L. Toint, Selime Gürol, 2017, Quarterly Journal of the Royal Meteorological Society.

A Levenberg-Marquardt method for large nonlinear least squares problems with noisy functions and gradients

Stefania Bellavia, Serge Gratton, Elisa Riccietti, 2017 .