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Gratton, Serge

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Author ID: gratton.serge Recent zbMATH articles by "Gratton, Serge"
Published as: Gratton, Serge; Gratton, S.
Homepage: http://www.cerfacs.fr/~gratton/
External Links: MGP · Math-Net.Ru · ResearchGate · dblp
Documents Indexed: 84 Publications since 1996

Publications by Year

Citations contained in zbMATH Open

73 Publications have been cited 480 times in 339 Documents Cited by Year
Recursive trust-region methods for multiscale nonlinear optimization. Zbl 1163.90024
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L.
55
2008
Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers. Zbl 1070.65527
Frayssé, Valéire; Giraud, Luc; Gratton, Serge; Langou, Julien
29
2005
On a class of limited memory preconditioners for large scale linear systems with multiple right-hand sides. Zbl 1273.65044
Gratton, S.; Sartenaer, A.; Tshimanga, J.
20
2011
On the condition number of linear least squares problems in a weighted Frobenius norm. Zbl 0878.65030
Gratton, S.
20
1996
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Zbl 1229.90138
Gratton, Serge; Toint, Philippe L.; Tröltzsch, Anke
18
2011
Approximate Gauss-Newton methods for nonlinear least squares problems. Zbl 1138.65046
Gratton, S.; Lawless, A. S.; Nichols, N. K.
17
2007
A partial condition number for linear least squares problems. Zbl 1141.65028
Arioli, Mario; Baboulin, Marc; Gratton, Serge
15
2008
Flexible GMRES with deflated restarting. Zbl 1215.65057
Giraud, L.; Gratton, S.; Pinel, X.; Vasseur, X.
15
2010
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Zbl 1190.90209
Gratton, Serge; Mouffe, Mélodie; Sartenaer, Annick; Toint, Philippe L.; Tomanos, Dimitri
14
2010
A contribution to the conditioning of the total least-squares problem. Zbl 1242.65087
Baboulin, Marc; Gratton, Serge
14
2011
Flexible variants of block restarted GMRES methods with application to geophysics. Zbl 1248.65036
Calandra, Henri; Gratton, Serge; Langou, Julien; Pinel, Xavier; Vasseur, Xavier
14
2012
Incremental spectral preconditioners for sequences of linear systems. Zbl 1123.65031
Giraud, L.; Gratton, S.; Martin, E.
12
2007
Direct search based on probabilistic descent. Zbl 1327.90395
Gratton, S.; Royer, C. W.; Vicente, L. N.; Zhang, Z.
12
2015
A recursive \(\ell_{\infty}\)-trust-region method for bound-constrained nonlinear optimization. Zbl 1156.65060
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.; Weber-Mendonça, Melissa
11
2008
An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media. Zbl 1313.65284
Calandra, Henri; Gratton, Serge; Pinel, Xavier; Vasseur, Xavier
10
2013
On the condition numbers associated with the polar factorization of a matrix. Zbl 1051.65052
Chaitin-Chatelin, F.; Gratton, S.
10
2000
A modified block flexible GMRES method with deflation at each iteration for the solution of non-Hermitian linear systems with multiple right-hand sides. Zbl 1281.65056
Calandra, Henri; Gratton, Serge; Lago, Rafael; Vasseur, Xavier; Carvalho, Luiz Mariano
10
2013
Using dual techniques to derive componentwise and mixed condition numbers for a linear function of a linear least squares solution. Zbl 1168.65022
Baboulin, Marc; Gratton, Serge
9
2009
A flexible generalized conjugate residual method with inner orthogonalization and deflated restarting. Zbl 1244.65047
Carvalho, Luiz M.; Gratton, Serge; Lago, R.; Vasseur, Xavier
9
2011
Additive and multiplicative two-level spectral preconditioning for general linear systems. Zbl 1145.65023
Carpentieri, B.; Giraud, L.; Gratton, S.
8
2007
A merit function approach for direct search. Zbl 1318.90077
Gratton, S.; Vicente, L. N.
8
2014
Computing the conditioning of the components of a linear least-squares solution. Zbl 1224.65104
Baboulin, Marc; Dongarra, Jack; Gratton, Serge; Langou, Julien
7
2009
Sensitivity and conditioning of the truncated total least squares solution. Zbl 1312.65060
Gratton, Serge; Titley-Peloquin, David; Ilunga, Jean Tshimanga
7
2013
Two-level preconditioned Krylov subspace methods for the solution of three-dimensional heterogeneous Helmholtz problems in seismics. Zbl 1299.65253
Calandra, Henri; Gratton, Serge; Lago, Rafael; Pinel, Xavier; Vasseur, Xavier
7
2012
A note on GMRES preconditioned by a perturbed \(LDL^T\) decomposition with static pivoting. Zbl 1161.65023
Arioli, M.; Duff, I. S.; Gratton, S.; Pralet, S.
7
2007
A conjugate gradient like method for \(p\)-norm minimization in functional spaces. Zbl 1379.65029
Estatico, Claudio; Gratton, Serge; Lenti, Flavia; Titley-Peloquin, David
7
2017
On the use of the energy norm in trust-region and adaptive cubic regularization subproblems. Zbl 1390.90511
Bergou, E.; Diouane, Y.; Gratton, S.
7
2017
Approximate iterative methods for variational data assimilation. Zbl 1066.65066
Lawless, A. S.; Gratton, S.; Nichols, N. K.
6
2005
Convergence in backward error of relaxed GMRES. Zbl 1142.65031
Giraud, L.; Gratton, S.; Langou, J.
6
2007
A line-search algorithm inspired by the adaptive cubic regularization framework and complexity analysis. Zbl 1417.90097
Bergou, El Houcine; Diouane, Youssef; Gratton, Serge
6
2018
On the sensitivity of some spectral preconditioners. Zbl 1104.65040
Giraud, L.; Gratton, S.
4
2006
The exact condition number of the truncated singular value solution of a linear ill-posed problem. Zbl 1308.65059
Bergou, El Houcine; Gratton, Serge; Tshimanga, Jean
4
2014
Levenberg-Marquardt methods based on probabilistic gradient models and inexact subproblem solution, with application to data assimilation. Zbl 1358.90156
Bergou, E.; Gratton, S.; Vicente, L. N.
4
2016
Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics. Zbl 1413.65041
Gratton, Serge; Mercier, Sylvain; Tardieu, Nicolas; Vasseur, Xavier
4
2016
Improved bounds for small-sample estimation. Zbl 1451.65044
Gratton, Serge; Titley-Peloquin, David
3
2018
Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics. Zbl 1123.65030
Duff, I.; Gratton, S.; Pinel, X.; Vasseur, X.
3
2007
SVD-tail: A new linear-sampling reconstruction method for inverse scattering problems. Zbl 1175.65129
Fares, M’Barek; Gratton, Serge; Toint, Philippe L.
3
2009
Parallel tools for solving incremental dense least squares problems: application to space geodesy. Zbl 1226.65029
Baboulin, Marc; Giraud, Luc; Gratton, Serge; Langou, Julien
3
2009
Stopping rules and backward error analysis for bound-constrained optimization. Zbl 1228.65088
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.
3
2011
Globally convergent evolution strategies. Zbl 1334.90209
Diouane, Y.; Gratton, S.; Vicente, L. N.
3
2015
Globally convergent evolution strategies for constrained optimization. Zbl 1326.90079
Diouane, Y.; Gratton, S.; Vicente, L. N.
3
2015
On the accuracy of the Karlson-Waldén estimate of the backward error for linear least squares problems. Zbl 1268.65055
Gratton, Serge; Jiránek, Pavel; Titley-Peloquin, David
3
2012
Stochastic conditioning of matrix functions. Zbl 1306.65199
Gratton, Serge; Titley-Peloquin, David
3
2014
Direct search based on probabilistic feasible descent for bound and linearly constrained problems. Zbl 1420.90083
Gratton, S.; Royer, C. W.; Vicente, L. N.; Zhang, Z.
3
2019
A second-order globally convergent direct-search method and its worst-case complexity. Zbl 1338.90463
Gratton, S.; Royer, C. W.; Vicente, L. N.
3
2016
Reducing complexity of algebraic multigrid by aggregation. Zbl 1413.65444
Gratton, Serge; Hénon, Pascal; Jiránek, Pavel; Vasseur, Xavier
2
2016
Convergence in finite precision of successive iteration methods under high nonnormality. Zbl 0864.65015
Chaitin-Chatelin, F.; Gratton, S.
2
1996
Structured backward error and condition number for linear systems of the type \(A^* Ax = b\). Zbl 0958.65054
Frayssé, V.; Gratton, S.; Toumazou, V.
2
2000
Approximate invariant subspaces and quasi-Newton optimization methods. Zbl 1202.90272
Gratton, Serge; Toint, Philippe L.
2
2010
Differentiating the method of conjugate gradients. Zbl 1306.65180
Gratton, Serge; Titley-Peloquin, David; Toint, Philippe; Ilunga, Jean Tshimanga
2
2014
Range-space variants and inexact matrix-vector products in Krylov solvers for linear systems arising from inverse problems. Zbl 1237.65033
Gratton, S.; Toint, Ph. L.; Ilunga, J. Tshimanga
2
2011
Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems. Zbl 1267.90093
Gratton, Serge; Gürol, Selime; Toint, Philippe L.
2
2013
Simple backward error bounds for linear least-squares problems. Zbl 1281.65065
Gratton, Serge; Jiránek, Pavel; Titley-Peloquin, David
2
2013
A surrogate management framework using rigorous trust-region steps. Zbl 1282.65067
Gratton, S.; Vicente, L. N.
2
2014
A parallel evolution strategy for an Earth imaging problem in geophysics. Zbl 1364.86009
Diouane, Y.; Gratton, S.; Vasseur, X.; Vicente, L. N.; Calandra, H.
2
2016
A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity. Zbl 1398.65047
Mercier, Sylvain; Gratton, Serge; Tardieu, Nicolas; Vasseur, Xavier
2
2017
Quasi-Newton updates with weighted secant equations. Zbl 1356.90162
Gratton, S.; Malmedy, V.; Toint, Ph. L.
2
2015
A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients. Zbl 1461.65129
Bellavia, Stefania; Gratton, Serge; Riccietti, Elisa
2
2018
On a second-order expansion of the truncated singular subspace decomposition. Zbl 1413.15022
Gratton, S.; Tshimanga-Ilunga, J.
1
2016
Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization. Zbl 1132.65054
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L.
1
2006
Fast regularized linear sampling for inverse scattering problems. Zbl 1245.65121
Fares, M’Barek; Gratton, Serge; Toint, Philippe L.
1
2011
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization. Zbl 1245.90122
Gratton, Serge; Malmedy, Vincent; Toint, Philippe L.
1
2012
Energy backward error: interpretation in numerical solution of elliptic partial differential equations and behaviour in the conjugate gradient method. Zbl 1290.65029
Gratton, Serge; Jiránek, Pavel; Vasseur, Xavier
1
2013
A geometric multigrid preconditioner for the solution of the Helmholtz equation in three-dimensional heterogeneous media on massively parallel computers. Zbl 1364.86008
Calandra, H.; Gratton, S.; Vasseur, X.
1
2017
On the symmetric componentwise relative backward error for linear systems of equations. Zbl 1387.65040
Eisenstat, Stanley C.; Gratton, Serge; Titley-Peloquin, David
1
2017
Observation thinning in data assimilation computations. Zbl 1307.90104
Gratton, Serge; Rincon-Camacho, Monserrat; Simon, Ehouarn; Toint, Philippe L.
1
2015
A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds. Zbl 1437.90130
Gratton, S.; Royer, C. W.; Vicente, L. N.
1
2020
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening. Zbl 1396.76044
Lunet, Thibaut; Bodart, Julien; Gratton, Serge; Vasseur, Xavier
1
2018
On the convergence of a non-linear ensemble Kalman smoother. Zbl 1409.93066
Bergou, El Houcine; Gratton, Serge; Mandel, Jan
1
2019
Low rank updates in preconditioning the saddle point systems arising from data assimilation problems. Zbl 1398.90178
Fisher, M.; Gratton, S.; Gürol, S.; Trémolet, Y.; Vasseur, X.
1
2018
A note on solving nonlinear optimization problems in variable precision. Zbl 1446.90149
Gratton, S.; Toint, Ph. L.
1
2020
On iterative solution of the extended normal equations. Zbl 1461.65035
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier
1
2020
On high-order multilevel optimization strategies. Zbl 1458.90586
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier
1
2021
On high-order multilevel optimization strategies. Zbl 1458.90586
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier
1
2021
A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds. Zbl 1437.90130
Gratton, S.; Royer, C. W.; Vicente, L. N.
1
2020
A note on solving nonlinear optimization problems in variable precision. Zbl 1446.90149
Gratton, S.; Toint, Ph. L.
1
2020
On iterative solution of the extended normal equations. Zbl 1461.65035
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier
1
2020
Direct search based on probabilistic feasible descent for bound and linearly constrained problems. Zbl 1420.90083
Gratton, S.; Royer, C. W.; Vicente, L. N.; Zhang, Z.
3
2019
On the convergence of a non-linear ensemble Kalman smoother. Zbl 1409.93066
Bergou, El Houcine; Gratton, Serge; Mandel, Jan
1
2019
A line-search algorithm inspired by the adaptive cubic regularization framework and complexity analysis. Zbl 1417.90097
Bergou, El Houcine; Diouane, Youssef; Gratton, Serge
6
2018
Improved bounds for small-sample estimation. Zbl 1451.65044
Gratton, Serge; Titley-Peloquin, David
3
2018
A Levenberg-Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients. Zbl 1461.65129
Bellavia, Stefania; Gratton, Serge; Riccietti, Elisa
2
2018
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening. Zbl 1396.76044
Lunet, Thibaut; Bodart, Julien; Gratton, Serge; Vasseur, Xavier
1
2018
Low rank updates in preconditioning the saddle point systems arising from data assimilation problems. Zbl 1398.90178
Fisher, M.; Gratton, S.; Gürol, S.; Trémolet, Y.; Vasseur, X.
1
2018
A conjugate gradient like method for \(p\)-norm minimization in functional spaces. Zbl 1379.65029
Estatico, Claudio; Gratton, Serge; Lenti, Flavia; Titley-Peloquin, David
7
2017
On the use of the energy norm in trust-region and adaptive cubic regularization subproblems. Zbl 1390.90511
Bergou, E.; Diouane, Y.; Gratton, S.
7
2017
A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity. Zbl 1398.65047
Mercier, Sylvain; Gratton, Serge; Tardieu, Nicolas; Vasseur, Xavier
2
2017
A geometric multigrid preconditioner for the solution of the Helmholtz equation in three-dimensional heterogeneous media on massively parallel computers. Zbl 1364.86008
Calandra, H.; Gratton, S.; Vasseur, X.
1
2017
On the symmetric componentwise relative backward error for linear systems of equations. Zbl 1387.65040
Eisenstat, Stanley C.; Gratton, Serge; Titley-Peloquin, David
1
2017
Levenberg-Marquardt methods based on probabilistic gradient models and inexact subproblem solution, with application to data assimilation. Zbl 1358.90156
Bergou, E.; Gratton, S.; Vicente, L. N.
4
2016
Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics. Zbl 1413.65041
Gratton, Serge; Mercier, Sylvain; Tardieu, Nicolas; Vasseur, Xavier
4
2016
A second-order globally convergent direct-search method and its worst-case complexity. Zbl 1338.90463
Gratton, S.; Royer, C. W.; Vicente, L. N.
3
2016
Reducing complexity of algebraic multigrid by aggregation. Zbl 1413.65444
Gratton, Serge; Hénon, Pascal; Jiránek, Pavel; Vasseur, Xavier
2
2016
A parallel evolution strategy for an Earth imaging problem in geophysics. Zbl 1364.86009
Diouane, Y.; Gratton, S.; Vasseur, X.; Vicente, L. N.; Calandra, H.
2
2016
On a second-order expansion of the truncated singular subspace decomposition. Zbl 1413.15022
Gratton, S.; Tshimanga-Ilunga, J.
1
2016
Direct search based on probabilistic descent. Zbl 1327.90395
Gratton, S.; Royer, C. W.; Vicente, L. N.; Zhang, Z.
12
2015
Globally convergent evolution strategies. Zbl 1334.90209
Diouane, Y.; Gratton, S.; Vicente, L. N.
3
2015
Globally convergent evolution strategies for constrained optimization. Zbl 1326.90079
Diouane, Y.; Gratton, S.; Vicente, L. N.
3
2015
Quasi-Newton updates with weighted secant equations. Zbl 1356.90162
Gratton, S.; Malmedy, V.; Toint, Ph. L.
2
2015
Observation thinning in data assimilation computations. Zbl 1307.90104
Gratton, Serge; Rincon-Camacho, Monserrat; Simon, Ehouarn; Toint, Philippe L.
1
2015
A merit function approach for direct search. Zbl 1318.90077
Gratton, S.; Vicente, L. N.
8
2014
The exact condition number of the truncated singular value solution of a linear ill-posed problem. Zbl 1308.65059
Bergou, El Houcine; Gratton, Serge; Tshimanga, Jean
4
2014
Stochastic conditioning of matrix functions. Zbl 1306.65199
Gratton, Serge; Titley-Peloquin, David
3
2014
Differentiating the method of conjugate gradients. Zbl 1306.65180
Gratton, Serge; Titley-Peloquin, David; Toint, Philippe; Ilunga, Jean Tshimanga
2
2014
A surrogate management framework using rigorous trust-region steps. Zbl 1282.65067
Gratton, S.; Vicente, L. N.
2
2014
An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media. Zbl 1313.65284
Calandra, Henri; Gratton, Serge; Pinel, Xavier; Vasseur, Xavier
10
2013
A modified block flexible GMRES method with deflation at each iteration for the solution of non-Hermitian linear systems with multiple right-hand sides. Zbl 1281.65056
Calandra, Henri; Gratton, Serge; Lago, Rafael; Vasseur, Xavier; Carvalho, Luiz Mariano
10
2013
Sensitivity and conditioning of the truncated total least squares solution. Zbl 1312.65060
Gratton, Serge; Titley-Peloquin, David; Ilunga, Jean Tshimanga
7
2013
Preconditioning and globalizing conjugate gradients in dual space for quadratically penalized nonlinear-least squares problems. Zbl 1267.90093
Gratton, Serge; Gürol, Selime; Toint, Philippe L.
2
2013
Simple backward error bounds for linear least-squares problems. Zbl 1281.65065
Gratton, Serge; Jiránek, Pavel; Titley-Peloquin, David
2
2013
Energy backward error: interpretation in numerical solution of elliptic partial differential equations and behaviour in the conjugate gradient method. Zbl 1290.65029
Gratton, Serge; Jiránek, Pavel; Vasseur, Xavier
1
2013
Flexible variants of block restarted GMRES methods with application to geophysics. Zbl 1248.65036
Calandra, Henri; Gratton, Serge; Langou, Julien; Pinel, Xavier; Vasseur, Xavier
14
2012
Two-level preconditioned Krylov subspace methods for the solution of three-dimensional heterogeneous Helmholtz problems in seismics. Zbl 1299.65253
Calandra, Henri; Gratton, Serge; Lago, Rafael; Pinel, Xavier; Vasseur, Xavier
7
2012
On the accuracy of the Karlson-Waldén estimate of the backward error for linear least squares problems. Zbl 1268.65055
Gratton, Serge; Jiránek, Pavel; Titley-Peloquin, David
3
2012
Using approximate secant equations in limited memory methods for multilevel unconstrained optimization. Zbl 1245.90122
Gratton, Serge; Malmedy, Vincent; Toint, Philippe L.
1
2012
On a class of limited memory preconditioners for large scale linear systems with multiple right-hand sides. Zbl 1273.65044
Gratton, S.; Sartenaer, A.; Tshimanga, J.
20
2011
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Zbl 1229.90138
Gratton, Serge; Toint, Philippe L.; Tröltzsch, Anke
18
2011
A contribution to the conditioning of the total least-squares problem. Zbl 1242.65087
Baboulin, Marc; Gratton, Serge
14
2011
A flexible generalized conjugate residual method with inner orthogonalization and deflated restarting. Zbl 1244.65047
Carvalho, Luiz M.; Gratton, Serge; Lago, R.; Vasseur, Xavier
9
2011
Stopping rules and backward error analysis for bound-constrained optimization. Zbl 1228.65088
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.
3
2011
Range-space variants and inexact matrix-vector products in Krylov solvers for linear systems arising from inverse problems. Zbl 1237.65033
Gratton, S.; Toint, Ph. L.; Ilunga, J. Tshimanga
2
2011
Fast regularized linear sampling for inverse scattering problems. Zbl 1245.65121
Fares, M’Barek; Gratton, Serge; Toint, Philippe L.
1
2011
Flexible GMRES with deflated restarting. Zbl 1215.65057
Giraud, L.; Gratton, S.; Pinel, X.; Vasseur, X.
15
2010
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Zbl 1190.90209
Gratton, Serge; Mouffe, Mélodie; Sartenaer, Annick; Toint, Philippe L.; Tomanos, Dimitri
14
2010
Approximate invariant subspaces and quasi-Newton optimization methods. Zbl 1202.90272
Gratton, Serge; Toint, Philippe L.
2
2010
Using dual techniques to derive componentwise and mixed condition numbers for a linear function of a linear least squares solution. Zbl 1168.65022
Baboulin, Marc; Gratton, Serge
9
2009
Computing the conditioning of the components of a linear least-squares solution. Zbl 1224.65104
Baboulin, Marc; Dongarra, Jack; Gratton, Serge; Langou, Julien
7
2009
SVD-tail: A new linear-sampling reconstruction method for inverse scattering problems. Zbl 1175.65129
Fares, M’Barek; Gratton, Serge; Toint, Philippe L.
3
2009
Parallel tools for solving incremental dense least squares problems: application to space geodesy. Zbl 1226.65029
Baboulin, Marc; Giraud, Luc; Gratton, Serge; Langou, Julien
3
2009
Recursive trust-region methods for multiscale nonlinear optimization. Zbl 1163.90024
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L.
55
2008
A partial condition number for linear least squares problems. Zbl 1141.65028
Arioli, Mario; Baboulin, Marc; Gratton, Serge
15
2008
A recursive \(\ell_{\infty}\)-trust-region method for bound-constrained nonlinear optimization. Zbl 1156.65060
Gratton, Serge; Mouffe, Mélodie; Toint, Philippe L.; Weber-Mendonça, Melissa
11
2008
Approximate Gauss-Newton methods for nonlinear least squares problems. Zbl 1138.65046
Gratton, S.; Lawless, A. S.; Nichols, N. K.
17
2007
Incremental spectral preconditioners for sequences of linear systems. Zbl 1123.65031
Giraud, L.; Gratton, S.; Martin, E.
12
2007
Additive and multiplicative two-level spectral preconditioning for general linear systems. Zbl 1145.65023
Carpentieri, B.; Giraud, L.; Gratton, S.
8
2007
A note on GMRES preconditioned by a perturbed \(LDL^T\) decomposition with static pivoting. Zbl 1161.65023
Arioli, M.; Duff, I. S.; Gratton, S.; Pralet, S.
7
2007
Convergence in backward error of relaxed GMRES. Zbl 1142.65031
Giraud, L.; Gratton, S.; Langou, J.
6
2007
Multigrid based preconditioners for the numerical solution of two-dimensional heterogeneous problems in geophysics. Zbl 1123.65030
Duff, I.; Gratton, S.; Pinel, X.; Vasseur, X.
3
2007
On the sensitivity of some spectral preconditioners. Zbl 1104.65040
Giraud, L.; Gratton, S.
4
2006
Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization. Zbl 1132.65054
Gratton, Serge; Sartenaer, Annick; Toint, Philippe L.
1
2006
Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers. Zbl 1070.65527
Frayssé, Valéire; Giraud, Luc; Gratton, Serge; Langou, Julien
29
2005
Approximate iterative methods for variational data assimilation. Zbl 1066.65066
Lawless, A. S.; Gratton, S.; Nichols, N. K.
6
2005
On the condition numbers associated with the polar factorization of a matrix. Zbl 1051.65052
Chaitin-Chatelin, F.; Gratton, S.
10
2000
Structured backward error and condition number for linear systems of the type \(A^* Ax = b\). Zbl 0958.65054
Frayssé, V.; Gratton, S.; Toumazou, V.
2
2000
On the condition number of linear least squares problems in a weighted Frobenius norm. Zbl 0878.65030
Gratton, S.
20
1996
Convergence in finite precision of successive iteration methods under high nonnormality. Zbl 0864.65015
Chaitin-Chatelin, F.; Gratton, S.
2
1996
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Cited by 566 Authors

30 Gratton, Serge
19 Toint, Philippe L.
17 Wei, Yimin
13 Diao, Huaian
13 Vicente, Luis Nunes
11 Cartis, Coralia
9 Vasseur, Xavier
8 Li, Hanyu
8 Wang, Shaoxin
7 Fasano, Giovanni
7 Santos, Sandra Augusta
6 Diouane, Youssef
5 Calandra, Henri
5 Carpentieri, Bruno
5 Gould, Nicholas Ian Mark
5 Grapiglia, Geovani Nunes
5 Karas, Elizabeth W.
5 Martínez, José Mario
5 Roma, Massimo
5 Royer, Clément W.
5 Yang, Hu
5 Zheng, Bing
4 Bergou, El Houcine
4 Carson, Erin Claire
4 Huang, Ting-Zhu
4 Morini, Benedetta
4 Riccietti, Elisa
4 Strakoš, Zdeněk
4 Titley-Péloquin, David
4 Xiang, Hua
4 Yuan, Ya-xiang
3 Al-Baali, Mehiddin
3 Baboulin, Marc
3 Bellavia, Stefania
3 Buccini, Alessandro
3 Caliciotti, Andrea
3 Cools, Siegfried
3 Giraud, Luc
3 Gonçalves, Douglas Soares
3 Higham, Nicholas J.
3 Jing, Yanfei
3 Leem, Koung Hee
3 Parpas, Panos
3 Pedroso, Lucas G.
3 Pelekanos, George
3 Price, Richard H.
3 Qiao, Sanzheng
3 Reichel, Lothar
3 Richtárik, Peter
3 Scheinberg, Katya
3 Sun, Dong-Lin
3 Ueda, Kenji
3 Vanroose, Wim
3 Viloche Bazán, Fermín S.
3 Vuik, Cornelis
3 Yamashita, Nobuo
3 Yuan, Jinyun
3 Zhang, Zaikun
3 Zhu, Detong
2 Arioli, Mario
2 Batiste, Oriol
2 Biegler, Lorenz T.
2 Birgin, Ernesto G.
2 Böß, Caroline
2 Boutet, Nicolas
2 Bunse-Gerstner, Angelika
2 Chaillat, Stéphanie
2 Cholamjiak, Prasit
2 Chu, Delin
2 Conejo, Paulo D.
2 Cucker, Felipe
2 Curtis, Frank E.
2 De Simone, Valentina
2 Degroote, Joris
2 Demanet, Laurent
2 di Serafino, Daniela
2 Dodangeh, M.
2 Dongarra, Jack J.
2 Dreisigmeyer, David W.
2 Duff, Iain S.
2 Estatico, Claudio
2 Fisher, Mike
2 Francisco, Juliano B.
2 Frandi, Emanuele
2 Gander, Martin Jakob
2 Gejadze, Igor Yu.
2 Gondzio, Jacek
2 Greif, Chen
2 Gu, Xian-Ming
2 Gürol, Selime
2 Haelterman, Rob
2 Haidar, Azzam
2 Hallman, Eric
2 Jia, Zhongxiao
2 Kopaničáková, Alena
2 Krause, Rolf H.
2 Kumbhakar, Manotosh
2 Lahaye, Domenico
2 Larson, Jeffrey
2 Lau, Stephen R.
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Cited in 87 Serials

20 Journal of Computational and Applied Mathematics
20 Computational Optimization and Applications
17 Optimization Methods & Software
16 SIAM Journal on Scientific Computing
15 Journal of Computational Physics
15 SIAM Journal on Optimization
15 Numerical Linear Algebra with Applications
14 Mathematical Programming. Series A. Series B
13 Journal of Optimization Theory and Applications
13 Linear Algebra and its Applications
11 SIAM Journal on Matrix Analysis and Applications
11 Numerical Algorithms
10 Applied Mathematics and Computation
8 Computers & Mathematics with Applications
8 Journal of Scientific Computing
6 Computers and Fluids
5 Calcolo
5 Applied Numerical Mathematics
4 Computer Methods in Applied Mechanics and Engineering
4 Numerische Mathematik
4 Optimization
4 International Journal of Computer Mathematics
3 Linear and Multilinear Algebra
3 BIT
3 Advances in Computational Mathematics
3 Optimization and Engineering
3 Optimization Letters
3 EURO Journal on Computational Optimization
2 International Journal for Numerical Methods in Fluids
2 Inverse Problems
2 Mathematics of Computation
2 International Journal for Numerical Methods in Engineering
2 SIAM Journal on Numerical Analysis
2 Operations Research Letters
2 Physica D
2 Journal of Complexity
2 Computational Mechanics
2 Journal of Mathematical Imaging and Vision
2 Engineering Analysis with Boundary Elements
2 Vietnam Journal of Mathematics
2 Mathematical Methods of Operations Research
2 Acta Mathematica Sinica. English Series
2 Journal of Applied Mathematics and Computing
2 Numerical Algebra, Control and Optimization
2 Bulletin of Computational Applied Mathematics
1 International Journal of Engineering Science
1 Theoretical and Computational Fluid Dynamics
1 Computing
1 Mathematics and Computers in Simulation
1 Proceedings of the American Mathematical Society
1 Parallel Computing
1 Numerical Methods for Partial Differential Equations
1 Asia-Pacific Journal of Operational Research
1 Science in China. Series A
1 International Journal of Adaptive Control and Signal Processing
1 European Journal of Operational Research
1 SIAM Review
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 International Journal of Computer Vision
1 Computational and Applied Mathematics
1 INFORMS Journal on Computing
1 ELA. The Electronic Journal of Linear Algebra
1 Abstract and Applied Analysis
1 Chaos
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Geosciences
1 Engineering Computations
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 SIAM Journal on Applied Dynamical Systems
1 International Journal of Computational Methods
1 Acta Numerica
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 GAMM-Mitteilungen
1 Journal of Fixed Point Theory and Applications
1 Frontiers of Mathematics in China
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1 Advances in Mathematical Physics
1 Mathematical Programming Computation
1 Science China. Mathematics
1 Communications in Applied and Industrial Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 Axioms
1 Journal of Mathematics
1 East Asian Journal on Applied Mathematics

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