[76]
|
Y. Diouane, S. Gratton, X. Vasseur, L. N. Vicente, and H. Calandra
A parallel evolution strategy for an Earth imaging problem in geophysics,
accepted in Optimization and Engineering.
|
[75]
|
Y. Diouane, S. Gratton, and L. N. Vicente,
Globally convergent evolution strategies for constrained optimization,
Computational Optimization and Applications, 62 (2015) 323-346 .
|
[74]
|
S. Gratton, C. W. Royer, and L. N. Vicente,
A second-order globally convergent direct-search method and its worst-case complexity,
to appear in Optimization.
|
[73]
|
Gratton, C. W. Royer, L. N. Vicente, and Z. Zhang, Direct search based on probabilistic descent,
SIAM Journal on Optimization, 25 (2015) 1249-1716
|
[72]
|
Y. Diouane, S. Gratton, and L.N. Vicente,
Globally convergent evolution strategies,
Mathematical Programming, 152:467-490, 2015.
|
[71]
|
S. Gratton, V. Malmedy, and Ph. L. Toint,
Quasi-Newton updates with weighted secant equations,
Optimization Methods and Software, 30(4):748-755, 2015.
|
[70]
|
S. Gratton, M. Rincon-Camacho, E. Simon, and Ph. L. Toint,
Observations thinning in data assimilation,
EURO Journal on Computational Optimization, (1):31-51, 2015.
|
[69]
|
G.L. Ramillien, F. Frappart, S. Gratton, and X. Vasseur,
Sequential estimation of surface water mass changes from daily satellite gravimetry data,
Journal of Geodesy, (89):259-282, 2015.
|
[68]
|
S. Gratton and L.N. Vicente,
A merit function approach for direct search
SIAM J. Optim., 24(4):1980-1998, 2014.
|
[67]
|
S. Gratton and L.N. Vicente,
A surrogate management framework using rigorous trust-region steps,
Optimization Methods and Software, 29(1):10-23, 2014.
|
[66]
|
S. Gurol, A. T. Weaver, A. M. Moore, A. Piacentini, H. G. Arango, and S. Gratton,
B-preconditioned minimization algorithms for variational data assimilation with the dual formulation,
Quarterly Journal of the Royal Meteorological Society, 140(679):539-556, 2014.
|
[65]
|
S. Gratton, D. Titley-Peloquin, P. Toint, and J. Tshimanga,
Differentiating the method of conjugate gradients.
SIAM Journal on Matrix Analysis and Applications, 35(1):110-126, 2014.
|
[64]
|
S. Gratton and D. Titley-Peloquin,
Stochastic conditioning of matrix functions,
SIAM/ASA Journal on Uncertainty Quantification, 2(1):763-783, 2014
|
[63]
|
S. Gratton, P. Laloyaux, A. Sartenaer,
Derivative-free optimization for large-scale nonlinear data assimilation problems,
Quarterly Journal of the Royal Meteorological Society, 140(680):943-957, 2014.
|
[62]
|
E. Bergou, S. Gratton, and J. Tshimanga,
The exact condition number of the truncated singular value solution of a linear ill-posed problem,
SIAM Journal on Matrix Analysis and Applications, 35(3):1073-1085, 2014
|
[61]
|
S. Gratton, Ph. L. Toint and J. Tshimanga,
Conjugate-gradients versus multigrid solvers for diffusion-based correlation models in data assimilation,
Quarterly Journal of the Royal Meteorological Society,139(675):1481-1487, 2013.
|
[60]
|
S. Gratton, D. Titley-Peloquin, and J. Tshimanga,
Sensitivity and conditioning of the truncated total least squares solution,
SIAM Journal on Matrix Analysis and Applications, 34(3):1257-1276, 2013.
|
[59]
|
S. Gratton, P. Jiranek, and X. Vasseur,
Energy backward error: interpretation in numerical solution of elliptic partial differential equations and convergence of the conjugate gradient method,
ETNA, 40:338-355, 2013.
|
[58]
|
S. Gratton, P. Jiranek and D. Titley-Peloquin,
Simple Backward Error Bounds for Linear Least-Squares Problems,
Numerical Linear Algebra and Applications 439(1):78-89, 2013.
|
[57]
|
S. Gratton, S. Gurol and Ph. L. Toint,
Preconditioning and Globalizing Conjugate Gradients in Dual Space for Quadratically Penalized Nonlinear-Least Squares Problems,
Computational Optimization and Applications, 54(1),1-25, 2013.
|
[56]
|
H. Calandra, S. Gratton, X. Pinel, and X. Vasseur.
An improved two-grid preconditioner for the solution of three-dimensional helmholtz problems in heterogeneous media.
Numerical Linear Algebra with Applications, 20:663-688, 2013.
|
[55]
|
H. Calandra, S. Gratton, R. Lago, X. Vasseur, and L. M. Carvalho,
A modified block flexible gmres method with deflation at each iteration for the solution of non-hermitian linear systems with multiple right-hand sides,
SIAM Journal on Scientific Computing, 35(5):S345-S367, 2013.
|
[54]
|
G. L. Ramillien, L. Seoane, F. Frappart, R. Biancale, S. Gratton, X. Vasseur, and S. Bourgogne,
Constrained regional recovery of continental water mass time-variations from GRACE-based geopotential anomalies,
Surveys in Geophysics, 33(5):887-905, 2012
|
[53]
|
S.Gratton, P.Jiranek and D.Titley-Peloquin
On the Accuracy of the Karlson--Walden Estimate of the Backward Error for Linear Least Squares Problems
SIAM Journal on Matrix Analysis and Applications, 33(3):822-936, 2012.
|
[52]
|
S.Gratton, V.Malmedy and P.L.Toint,
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization,
Computational Optimization and Applications, 51(3):967-979, 2012.
|
[51]
|
H.Calandra, S.Gratton, R.Lago, X.Pinel and X.Vasseur,
Two-Level preconditioned {K}rylov subspace methods for the solution of three-dimensional heterogeneous {H}elmholtz problems in seismics
Numerical Analysis and Applications, 5(2):175-181, 2012.
|
[50]
|
H.Calandra, S.~Gratton, J.Langou, X.Pinel and X.Vasseur,
Flexible variants of block restarted {GMRES} methods with application to geophysics
SIAM Journal on Scientific Computing, 34(2):714-736, 2012.
|
[49]
|
M.Arioli and S.Gratton,
Linear regression models, least-squares problems, normal equations, and stopping criteria for the conjugate gradient method
Computer Physics Communications, 183(11): 2322-2336, 2012.
|
[48]
|
L.M. Carvalho, S. Gratton, R. Lago, and X. Vasseur,
A flexible generalized conjugate residual method with inner orthogonalization and deflated restarting,
SIAM Journal on Matrix Analysis and Applications, 32(4):1212-1235, 2011.
|
[47]
|
S. Gratton M. Mouffe et Ph. L. Toint,
Stopping rules and backward error analysis for bound-constrained optimization,
Numerische Mathematik, 119(163-187), 2011.
|
[46]
|
S. Gratton, Ph. L. Toint and J. Tshimanga Ilunga,
Inexact range-space Krylov solvers for linear systems arising from inverse problems,
SIAM Journal on Matrix Analysis and Applications, 32(3):969-986, 2011.
|
[45]
|
M. Baboulin, S. Gratton.
A contribution to the conditioning of the total least squares problem.
SIAM Journal on Matrix Analysis and Applications, 32:685-699, 2011.
|
[44]
|
S. Gratton, A. Sartenaer, and J. Tshimanga,
On a class of limited memory preconditioners for large scale linear systems with multiple right-hand sides
SIAM Journal on Optimization, 21(3):912-935, 2011.
|
[43]
|
S. Gratton, Ph. L. Toint et A. Troeltzch
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization,
Optimization Methods and sotware, 21(4-5):873-894, 2011.
|
[42]
|
G. Ramillien, R. Biancale, S. Gratton, X. Vasseur and S. Bourgogne,
GRACE-derived surface mass anomalies by energy integral approach. Application to continental hydrology,
Journal of Geodesy, 85(6):313-328, 2011.
|
[41]
|
S. Gratton, P. Laloyaux, A. Sartenaer, and J. Tshimanga,
A reduced and limited-memory preconditioned approach for the 4d-var data-assimilation problem.
Quarterly Journal of the Royal Meteorological Society, 137(452-466), 2011
|
[40]
|
B. Fares, S. Gratton and Ph. L. Toint,
Fast regularized linear sampling for inverse scattering problems,
Numerical Linear Algebra and Applications, vol. 18(1), pp. 55-68, 2011.
|
[39]
|
A. Lannes and S. Gratton and S. Durand
Pseudo-clock biases for precise point positioning. The algebraic approach.
Journal of Global Positioning Systems, 9(1):68--77, 2010.
|
[38]
|
L. Giraud and S. Gratton and X. Pinel and X. Vasseur
Flexible GMRES with Deflated Restarting
SIAM Journal on Scientific Computing, 32(4):1858--1878, 2010.
|
[37]
|
S. Gratton and Ph. L. Toint.
Approximate Invariant Subspaces and Quasi-Newton Optimization
Optimization Methods and Software, 25(4):507--529, 2010.
|
[36]
|
A. Lannes, S. Gratton.
GNSS Networks in Algebraic Graph Theory.
Journal of Global Positioning Systems, 8(1):1--23, 2009.
|
[35]
|
S. Gratton, J. Tshimanga.
An observation-space formulation of variational assimilation
using a restricted preconditioned conjugate gradient
algorithm.
Q. J. Roy. Meterol. Soc., 135:1573--1585, 2009.
|
[34]
|
B. Fares, S. Gratton and Ph. L. Toint.
SVD-tail: a new linear-sampling reconstruction method for inverse scattering problems,
Inverse Problems, 25(9)095013.1-19, 2009.
|
[33]
|
A. Lannes, S. Gratton.
QR Implementation of GNSS Centralized Approaches.
Journal of Global Positioning Systems, 7(2):133--147, 2009.
|
[32]
|
M. Baboulin, S. Gratton.
Using dual techniques to derive componentwise and mixed condition numbers for a linear functional of a linear least squares solution.
BIT 49(1):3-19, 2009.
|
[31]
|
S. Gratton, M. Mouffe, A. Sartenaer, Ph.L. Toint, D. Tomanos.
Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization.
Optimization Methods and Software, vol. 25(3), pp. 359-386, 2010.
|
[30]
|
M. Baboulin, J. Dongarra, S. Gratton, J. Langou.
Computing the Conditioning of the Components of a Linear Least Squares Solution.
NLAA , 16(7):517-533, 2009.
|
[29]
|
S. Gratton, M. Mouffe, Ph.L. Toint, M. Weber-Mendonca.
A recursive trust-region method in infinity norm for bound-constrained nonlinear optimization,
IMA Journal of Numerical Analysis, vol. 28(4), pp. 827-861, 2008.
|
[28]
|
A. El Ghazi, S. El Hajji, L. Giraud, S. Gratton.
Newton's method for the common eigenvector problem,
accepted in Journal of Computational and Applied Mathematics. 219(2):398-407, 2008.
|
[27]
|
J. Tshimanga, S. Gratton, A.T. Weaver, and A. Sartenaer.
Limited-memory preconditioners with application to incremental four-dimensional variational data assimilation,
Q. J. Roy. Meterol. Soc., 134, 753-771, 2008.
|
[26]
|
F. Frayssé, L. Giraud, S. Gratton.
A set of Flexible GMRES routines for real and complex arithmetics on high
performance computers,
ACM Trans. Math. Softw. 35(2), 1--12, 2008.
|
[25]
|
S. Gratton, A. Sartenaer, Ph.L. Toint.
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization.
SIAM J. on Optimization, (19)1:414--444, 2008.
|
[24]
|
M. Arioli, I. Duff, S. Gratton, S. Pralet.
Note on GMRES Preconditionned by a Perturbed LDLt Decomposition with Static Pivoting.
SIAM Journal on Scientific Computing. (25)5:2024--2044, 2007.
|
[23]
|
D. Mariano-Goulart, P. Marechal, S. Gratton, L. Giraud.
A priori selection of the regularization parameters in emission tomography by Fourier synthesis.
Computerized Medical Imaging and Graphics. (31)7:502--509, 2007.
|
[22]
|
F. Bazan, S. Gratton.
An explicit Jordan Decomposition of companion matrices.
Tend. Mat. Apl. Comput. (7)2:209--218, 2006.
|
[21]
|
M. Baboulin, L. Giraud, S. Gratton, J. Langou.
Parallel tools for solving incremental dense least squares problems. Application to space geodesy.
University of Tennessee Technical Report UT-CS-06-582 and CERFACS Technical Report TR/PA/06/63.
Also appeared as LAPACK Working Note 179, September 2006.
To appear in Advances in Engineering Software.
|
[20]
|
L. Giraud, S. Gratton, E. Martin.
Incremental spectral preconditioners for sequences of linear systems.
Applied Numerical Mathematics. (57)11-12:1164--1180, 2007.
|
[19]
|
I. Duff, S. Gratton, X. Pinel, X. Vasseur.
Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics.
International Journal of Computer Mathematics . 84(8):1167--1181, 2007.
|
[18]
|
B. Carpentieri, L. Giraud, S. Gratton.
Additive and multiplicative two-level spectral preconditioning for general
linear systems
SIAM J. Scientific Computing. 29(4):1593--1612, 2007.
|
[17]
|
S. Gratton, A. Lawless, N. Nichols.
Approximate Gauss-Newton methods for nonlinear least squares
problems.
SIAM J. on Optimization . 18:106--132, 2007.
|
[16]
|
L. Giraud, S. Gratton, J. Langou.
Convergence in backward error of relaxed GMRES.
SIAM J. Scientific Computing. 29(2):710--728, 2007.
|
[15]
|
M. Arioli, M. Baboulin, S. Gratton.
A partial condition number for linear least-squares problems.
SIAM J. Matrix Analysis and Applications. 29(2):413--433, 2007.
|
[14]
|
M. Baboulin, L. Giraud, S. Gratton, J. Langou.
A distributed packed storage for large dense in-core parallel calculations
Concurrency and Computation: Practice and Experience. 19(04),483--502, 2007.
|
[13]
|
S. Gratton, A. Sartenaer, Ph.L. Toint.
Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid.
Journal of Computational and Applied Mathematics. 24(06),676--692, 2006.
|
[12]
|
L. Giraud, S. Gratton.
On the sensitivity of some spectral preconditioners.
SIAM J. Matrix Analysis and Applications, 27(04),1089--1105, 2006.
|
[11]
|
M. Baboulin, L. Giraud, S. Gratton.
A parallel distributed solver for large dense symmetric systems:
applications to geodesy and electromagnetism problems.
Int. J. High Speed Computing , 19(04),381--410, 2005.
|
[10]
|
F. Frayssé, L. Giraud, S. Gratton, and J. Langou.
A set of GMRES routines for real and complex arithmetics on high
performance computers.
ACM Trans. Math. Softw. , 31(2),228--238, 2005.
|
[9]
|
A.S. Lawless, S. Gratton, and N.K. Nichols.
An investigation of incremental 4d-var using non-tangent linear
models.
Quart. J. Royal Met. Soc. , 131,459--476, 2005.
|
[8]
|
E. Anterrieu, S. Gratton, and B. Picard.
Inverse problem in remote sensing by aperture synthesis imaging.
Traitement du Signal , 21(1),1--16, 2004.
|
[7]
|
A.S. Lawless, S. Gratton, and N.K. Nichols.
Approximate iterative methods for variational data assimilation.
Int. J. Numer. Methods in Fluids, 47,1129--1135, 2005.
|
[6]
|
L. Giraud, S. Gratton, and J. Langou.
A rank-k update procedure for reorthogonalizing the orthogonal
factor from modified Gram-Schmidt.
SIAM J. Matrix Analysis and Applications, 25(4),1163--1177, 2004.
|
[5]
|
D. Laurichesse, S. Gratton, F. Mercier, T. Tournier, J.P. Berth
ias, J.L. Issler, F. Doliszny, P. Revidon.
Use of GNSS-Based Pseudo-Acceleration Measurements and Orbital C
onstraints to Initialize Spaceborne Receiver Orbit Solutions
Navigation Journal, 50(2),Summer, 2003.
|
[4]
|
V. Frayssé, S. Gratton, and V. Toumazou.
Structured backward error and condition number for linear systems of
the type A*A x = b.
BIT, 40(1):74-83, 2000.
|
[3]
|
F. Chaitin-Chatelin and S. Gratton.
On the condition number associated with the polar factorization of a
rectangular matrix.
Numerical Linear Algebra with Applications, (7):337-354, 2000.
|
[2]
|
S. Gratton.
On the condition number of linear least squares problems in a
weighted Frobenius norm.
BIT, 36:523-530, 1996.
|
[1]
|
F. Chaitin-Chatelin and S. Gratton.
Convergence of successive iteration methods in finite precision under
high nonnormality.
BIT, 36:455-469, 1996.
|