Jean Charles Gilbert

Identifiants chercheurs

IdHAL :

jean-charles-gilbert

ORCID :

0000-0002-0375-4663

IdRef :

070361657

Publications

Ouvrages (3)

Numerical Optimization - Theoretical and Practical Aspects (Second Edition) Joseph Frédéric Bonnans,Jean Charles Gilbert,Claude Lemaréchal,Claudia Sagastizábal Springer Verlag, Berlin, pp.XIV+494, 2006, Universitext, ⟨10.1007/978-3-540-35447-5⟩ Ouvrages hal-04150121v1
Numerical Optimization - Theoretical and Practical Aspects Joseph Frédéric Bonnans,Jean Charles Gilbert,Claude Lemaréchal,Claudia Sagastizábal Springer-Verlag Berlin Heidelberg, pp.XIII+423, 2003, Universitext, ⟨10.1007/978-3-662-05078-1⟩ Ouvrages hal-04150305v1
Optimisation Numérique - Aspects Théoriques et Pratiques Joseph Frédéric Bonnans,Jean Charles Gilbert,Claude Lemaréchal,Claudia Sagastizábal Springer Verlag, Berlin, pp.VII+324, 1997, Mathématiques et Applications, 27, 978-3-540-63183-5 Ouvrages hal-04150172v1

Cours (3)

Fragments d'Optimisation Différentiable - Théories et Algorithmes Jean Charles Gilbert Master. France. 2026, pp.1019 Cours hal-03347060v2
Selected Topics on Continuous Optimization and Nonsmooth Systems Jean Charles Gilbert Master. Palaiseau, France. 2019, pp.184 Cours cel-01249369v3
Step by Step Design of an Interior-Point Solver in Self-Dual Conic Optimization, With Applications Jean Charles Gilbert Master. Advance Continuous Optimization II, France. 2019, pp.67 Cours cel-01252612v3

Article dans une revue (28)

Polyhedral Newton-min algorithms for complementarity problems Jean-Pierre Dussault,Mathieu Frappier,Jean Charles Gilbert Mathematical Programming, 2026, 215, pp.269-324. ⟨10.1007/s10107-025-02219-y⟩ Article dans une revue hal-02306526v5
On the B-differential of the componentwise minimum of two affine vector functions Jean-Pierre Dussault,Jean Charles Gilbert,Baptiste Plaquevent-Jourdain Mathematical Programming Computation, 2025, 17 (1), pp.1-52. ⟨10.1007/s12532-024-00266-8⟩ Article dans une revue hal-04048393v3
Exact computation of an error bound for the balanced linear complementarity problem with unique solution Jean-Pierre Dussault,Jean Charles Gilbert Mathematical Programming, 2023, 199 (1-2), pp.1221-1238. ⟨10.1007/s10107-022-01860-1⟩ Article dans une revue hal-03638447v1
A lower bound on the iterative complexity of the Harker and Pang globalization technique of the Newton-min algorithm for solving the linear complementarity problem Jean-Pierre Dussault,Mathieu Frappier,Jean Charles Gilbert EURO Journal on Computational Optimization, 2019, 7 (4), pp.22. ⟨10.1007/s13675-019-00116-6⟩ Article dans une revue hal-01806399v2
An algorithmic characterization of P-matricity II: adjustments, refinements, and validation Ibtihel Ben Gharbia,Jean Charles Gilbert SIAM Journal on Matrix Analysis and Applications, 2019, 40 (2), pp.800-813. ⟨10.1137/18M1168522⟩ Article dans une revue hal-01672197v4
On the solution uniqueness characterization in the L1 norm and polyhedral gauge recovery Jean Charles Gilbert Journal of Optimization Theory and Applications, 2016, 1 (1), pp.1-32. ⟨10.1007/s10957-016-1004-0⟩ Article dans une revue hal-01187012v2
How the augmented Lagrangian algorithm can deal with an infeasible convex quadratic optimization problem Alice Chiche,Jean Charles Gilbert Journal of Convex Analysis, 2016, 23 (2) Article dans une revue hal-01057577v1
Application of the moment-SOS approach to global optimization of the OPF problem Cédric Josz,Jean Maeght,Patrick Panciatici,Jean Charles Gilbert IEEE Transactions on Power Systems, 2014, 30 (1), pp.8. ⟨10.1109/TPWRS.2014.2320819⟩ Article dans une revue hal-00906483v2
An algorithmic characterization of P-matricity Ibtihel Ben Gharbia,Jean Charles Gilbert SIAM Journal on Matrix Analysis and Applications, 2013, 34, pp.904-916. ⟨10.1137/120883025⟩ Article dans une revue hal-00713330v2
Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a P-matrix Ibtihel Ben Gharbia,Jean Charles Gilbert Mathematical Programming, 2012, 134, pp.349-364. ⟨10.1007/s10107-010-0439-6⟩ Article dans une revue hal-04148354v1
Constrained optimization in seismic reflection tomography: a Gauss-Newton augmented Lagrangian approach Frédéric Delbos,Jean Charles Gilbert,Roland Glowinski,Delphine Sinoquet Geophysical Journal International, 2006, 164 (3), pp.670-684. ⟨10.1111/j.1365-246X.2005.02729.x⟩ Article dans une revue hal-02284102v1
Examples of ill-behaved central paths in convex optimization Jean Charles Gilbert,Clóvis C. Gonzaga,Elizabeth Karas Mathematical Programming, 2005, 103, pp.63-94. ⟨10.1007/s10107-003-0460-0⟩ Article dans une revue inria-00072443v1
Global linear convergence of an augmented Lagrangian algorithm for solving convex quadratic optimization problems Frédéric Delbos,Jean Charles Gilbert Journal of Convex Analysis, 2005, 12 (1), pp.25 Article dans une revue inria-00071556v1
A BFGS-IP algorithm for solving strongly convex optimization problems with feasibility enforced by an exact penalty approach Paul Armand,Jean Charles Gilbert,Sophie Jan Mathematical Programming, 2002, 92 (3), pp.393-424. ⟨10.1007/s101070100283⟩ Article dans une revue istex inria-00072546v1
A piecewise line-search technique for maintaining the positive definiteness of the matrices in the SQP method Paul Armand,Jean Charles Gilbert Computational Optimization and Applications, 2000, 16, pp.121-158. ⟨10.1023/A:1008701324575⟩ Article dans une revue inria-00074070v1
A trust region method based on interior point techniques for nonlinear programming Richard H. Byrd,Jean Charles Gilbert,Jorge Nocedal Mathematical Programming, 2000, 89, pp.149-185. ⟨10.1007/PL00011391⟩ Article dans une revue inria-00073794v1
A feasible BFGS interior point algorithm for solving strongly convex minimization problems Paul Armand,Jean Charles Gilbert,Sophie Jan-Jégou SIAM Journal on Optimization, 2000, 11 (1), pp.199-222. ⟨10.1137/S1052623498344720⟩ Article dans une revue inria-00073185v1
On the realization of the Wolfe conditions in reduced quasi-Newton methods for equality constrained optimization Jean Charles Gilbert SIAM Journal on Optimization, 1997, 7 (3), pp.780-813. ⟨10.1137/S1052623493259604⟩ Article dans une revue inria-00074545v1
A family of variable metric proximal methods J. Frederic Bonnans,Jean Charles Gilbert,Claude Lemaréchal,Claudia Sagastizábal Mathematical Programming, 1995, 68, pp.15-47. ⟨10.1007/BF01585756⟩ Article dans une revue inria-00074821v1
Automatic differentiation and the step computation in the limited memory BFGS method Jean Charles Gilbert,Jorge Nocedal Applied Mathematics Letters, 1993, 6 (3), pp.47-50. ⟨10.1016/0893-9659(93)90032-I⟩ Article dans une revue hal-04140351v1
Global convergence properties of conjugate gradient methods for optimization Jean Charles Gilbert,Jorge Nocedal SIAM Journal on Optimization, 1992, 2 (1), pp.21-42. ⟨10.1137/0802003⟩ Article dans une revue inria-00075291v1
Automatic differentiation and iterative processes Jean Charles Gilbert Optimization Methods and Software, 1992, 1 (1), pp.13-21. ⟨10.1080/10556789208805503⟩ Article dans une revue hal-04140345v1
MORCAD, an Object-Oriented Molecular Modelling Package Running on IBM RS/6000 and SGI 4Dxxx Workstations M. Le Bret,J. Gabarro-Arpa,Jean Charles Gilbert,Claude Lemaréchal Journal de Chimie Physique, 1991, 88, pp.2489-2496. ⟨10.1051/jcp/1991882489⟩ Article dans une revue istex hal-04165358v1
Maintaining the positive definiteness of the matrices in reduced secant methods for equality constrained optimization Jean Charles Gilbert Mathematical Programming, 1991, 50, pp.1-28. ⟨10.1007/BF01594922⟩ Article dans une revue hal-04135611v1
Non-linear optimization and large-scale problems Jean Charles Gilbert Engineering Optimization, 1991, 18 (1-3), pp.5-21. ⟨10.1080/03052159108941009⟩ Article dans une revue hal-04135649v1
Some numerical experiments with variable-storage quasi-Newton algorithms Jean Charles Gilbert,Claude Lemaréchal Mathematical Programming, 1989, 45, pp.407-435. ⟨10.1007/BF01589113⟩ Article dans une revue hal-04135388v1
On the local and global convergence of a reduced quasi-Newton method Jean Charles Gilbert Optimization, 1989, 20 (4), pp.421-450. ⟨10.1080/02331938908843462⟩ Article dans une revue inria-00075989v1
Mise à jour de la métrique dans les méthodes de quasi-Newton réduites en optimisation avec contraintes d'égalité Jean Charles Gilbert ESAIM: Mathematical Modelling and Numerical Analysis, 1988, 22 (2), pp.251-288. ⟨10.1051/m2an/1988220202511⟩ Article dans une revue hal-04135305v1

Chapitre d'ouvrage (2)

Higher order time stepping for second order hyperbolic problems and optimal CFL conditions Jean Charles Gilbert,Patrick Joly Partial Differential Equations : Modeling and Numerical Simulation, 16, Springer, pp.67-93, 2008, 978-1-4020-8757-8. ⟨10.1007/978-1-4020-8758-5_4⟩ Chapitre d'ouvrage istex hal-00976773v1
Optimisation différentiable Jean Charles Gilbert Techniques de l'Ingénieur, AF-1-252, Editions T.I., 2008, ⟨10.51257/a-v1-af1252⟩ Chapitre d'ouvrage hal-04144441v1

Communication dans un congrès (10)

A dedicated constrained optimization method for 3D reflexion tomography Delphine Sinoquet,Frédéric Delbos,Jean Charles Gilbert EAGE 66th Conference & Exhibition, Jun 2004, Paris, France Communication dans un congrès hal-02284254v1
A truncated SQP algorithm for solving nonconvex equality constrained optimization problems Laurent Chauvier,Antonio Fuduli,Jean Charles Gilbert High Performance Algorithms and Software for Nonlinear Optimization, G. Di Pillo; A. Murli, Jun 2001, Erice, Sicily, Italy. pp.149-176, ⟨10.1007/978-1-4613-0241-4_7⟩ Communication dans un congrès inria-00072242v1
Optimal control of a deep-towed vehicle by optimization techniques Laurent Chauvier,Gilbert Damy,Jean Charles Gilbert,Nicolas Pichon Oceans'98, Sep 1998, Nice, France. pp.1634-1639, ⟨10.1109/OCEANS.1998.726365⟩ Communication dans un congrès hal-04142351v1
Piecewise line-search techniques for constrained minimization by quasi-Newton algorithms Jean Charles Gilbert 96 International Conference on Nonlinear Programming, Y.-x. Yuan, Sep 1996, Beijing, China. pp.73-103, ⟨10.1007/978-1-4613-3335-7_4⟩ Communication dans un congrès hal-04142324v1
Application of the automatic differentiation tool &lt;tt&gt;Odyssée&lt;/tt&gt; to a system of thermohydraulic equations Carole Duval,Patrick Erhard,Christèle Faure,Jean Charles Gilbert ECCOMAS'96, J.A. Désidéri; P. Le Tallec; E. Onate; J. Périaux; E. Stein, 1996, Paris, France. pp.795-802 Communication dans un congrès hal-04142292v1
Numerical methods for large-scale minimization Jean Charles Gilbert Numerical Methods in Atmospheric Models, ECMWF, Sep 1991, Reading, Berkshire, United Kingdom. pp.93-113 Communication dans un congrès hal-04140523v1
A step-size selection procedure for equality constrained optimization Jean Charles Gilbert Analysis and Optimization of Systems, 1988, Antibes, France. pp.309-320, ⟨10.1007/BFb0042224⟩ Communication dans un congrès istex hal-04135365v1
Parametric identification of the plasma current density from the magnetic measurements and pressure profile Jacques Blum,Jean Charles Gilbert,J. Le Foll,B. Thooris 11th Int. Conf. on Numerical Simulation of Plasma, 1986, Montreal, Canada Communication dans un congrès hal-04166375v1
Numerical identification of the plasma current density from the experimental measurements Jacques Blum,Jean Charles Gilbert,J. Le Foll,B. Thooris 8th Europhysics Conference on Computational Physics, 1986, Eibsee, Germany. pp.49-52 Communication dans un congrès hal-04166962v1
Une méthode de quasi-Newton réduite en optimisation sous contraintes avec priorité à la restauration Jean Charles Gilbert Analysis and Optimization of Systems, Jun 1986, Antibes, France. pp.40-53, ⟨10.1007/978-3-540-39856-1⟩ Communication dans un congrès hal-04133651v1

Logiciel (9)

Hnm4lcp - A solver of linear complementarity problems using the hybrid Newton-min algorithm Jean-Pierre Dussault,Jean Charles Gilbert 2024, ⟨swh:1:dir:7d600e80e4d08377f62b85a95e9de8a1e4ae9500;origin=https://hal.archives-ouvertes.fr/hal-04799965;visit=swh:1:snp:60509c3e42a5d919b62e694f7078a2b3aba2a0a8;anchor=swh:1:rel:495178ecbb0221cfc12d736d4e92c8abbb1cbb86;path=/⟩ Logiciel hal-04799965v1
ISF and BDIFFMIN Jean-Pierre Dussault,Jean Charles Gilbert,Baptiste Plaquevent-Jourdain 2023, ⟨swh:1:dir:0130daa41369602815de959df3fbe6de244c5763;origin=https://hal.archives-ouvertes.fr/hal-04124994;visit=swh:1:snp:1b642a2e1d9a9cf37b10b9c5487eccbad9b721e5;anchor=swh:1:rel:5208d7509416bc90534682e3d84f2adc08d183ad;path=/⟩ Logiciel hal-04124994v1
NMHP Jean-Pierre Dussault,Mathieu Frappier,Jean Charles Gilbert 2019, ⟨swh:1:dir:5f0d896cc7f02d6ba6495979c24273de10a995e9;origin=https://hal.archives-ouvertes.fr/hal-04156413;visit=swh:1:snp:b2f9378a0e8553d72ad7e487ddbd472210c0ed95;anchor=swh:1:rel:f26a90fcae96b378a5989d3cb53b7263f574dff6;path=/⟩ Logiciel hal-04156413v1
SDOlab - A solver of real or complex number semidefinite optimization problems Jean Charles Gilbert 2017, ⟨swh:1:dir:009ac38b5e0413e6c93239a810bbf362fbefc14f;origin=https://hal.archives-ouvertes.fr/hal-04171857;visit=swh:1:snp:64a57e20960f69cada32d04fdf0f5bccb19ca275;anchor=swh:1:rel:8112ca44b5f3866600bb7343d9995856691b616d;path=/⟩ Logiciel hal-04171857v1
PGR Jean Charles Gilbert 2015, ⟨swh:1:dir:55e578696f9ab08e01989f533130856d3e80942c;origin=https://hal.archives-ouvertes.fr/hal-04156788;visit=swh:1:snp:a7b518f95524bd10bbde0a7cb5818820a0842cc0;anchor=swh:1:rel:6f6e8ecfe54f595cea4a3f463fc736ba4767c33e;path=/⟩ Logiciel hal-04156788v1
QPALM Jean Charles Gilbert 2014, ⟨swh:1:dir:5e790c1674d5efb09279e984e6c45104ed5814c5;origin=https://hal.archives-ouvertes.fr/hal-04173030;visit=swh:1:snp:8b1d40295969dbeb98a544fa30cdb69c7a5b5448;anchor=swh:1:rel:133882d6b3fc24c233deab8d119d026c2305910a;path=/⟩ Logiciel hal-04173030v1
SQPlab Jean Charles Gilbert 2011, ⟨swh:1:dir:e2589bf56512ba849fb2b6828c05c0e3e4a45128;origin=https://hal.archives-ouvertes.fr/hal-04157088;visit=swh:1:snp:8d9f31be778163ac5d8c65f535ce29a629adfc34;anchor=swh:1:rel:deca49e893ce0a2eb00a529b6aa8fd13c6808129;path=/⟩ Logiciel hal-04157088v1
M1CG1 Jean Charles Gilbert 2011, ⟨swh:1:dir:f873acca734d5f4839877e5e6b0c6f6390e54f1a;origin=https://hal.archives-ouvertes.fr/hal-04160440;visit=swh:1:snp:fc7e5c49d34065ebf88920f09f2d0d053efd8dce;anchor=swh:1:rel:af941a7dd0ad57b8d5099573c963fe3da0734a5b;path=/⟩ Logiciel hal-04160440v1
M1QN3 Jean Charles Gilbert,Claude Lemaréchal 2009, ⟨swh:1:dir:95f0bbe55ea3272e6fe1a0b611979f6a0a2ee220;origin=https://hal.archives-ouvertes.fr/hal-04151348;visit=swh:1:snp:461705149aec6ee91d562bbab0266efc05d6e66b;anchor=swh:1:rel:f289d93a73cd1d62dd45286dd07681f02c9329ce;path=/⟩ Logiciel hal-04151348v1

Rapport (24)

Primal and dual approaches for the chamber enumeration of real hyperplane arrangements Jean-Pierre Dussault,Jean Charles Gilbert,Baptiste Plaquevent-Jourdain Inria - Paris; Université de Sherbrooke (Québec, Canada). 2025, pp.40 Rapport hal-05002249v3
Polyhedral Newton-min algorithms for complementarity problems - The full report Jean-Pierre Dussault,Mathieu Frappier,Jean Charles Gilbert [Research Report] Inria Paris; Université de Sherbrooke (Québec, Canada). 2025, pp.57 Rapport (rapport de recherche) hal-04097624v4
Primal and dual approaches for the chamber enumeration of real hyperplane arrangements - The full report Jean-Pierre Dussault,Jean Charles Gilbert,Baptiste Plaquevent-Jourdain Inria - Paris; Université de Sherbrooke (Québec, Canada). 2025, pp.79 Rapport hal-05002239v3
IncSignFeas.jl (isf): Julia functions for the enumeration of the chambers of hyperplane arrangements Jean-Pierre Dussault,Jean Charles Gilbert,Baptiste Plaquevent-Jourdain Inria Paris; Université de Sherbrooke (Québec, Canada). 2025 Rapport hal-05238721v2
On the B-differential of the componentwise minimum of two affine vector functions - The full report Jean-Pierre Dussault,Jean Charles Gilbert,Baptiste Plaquevent-Jourdain Inria de Paris, France & Université de Sherbrooke, Canada. 2024 Rapport hal-03872711v4
ISF and BDIFFMIN - Matlab functions for the hyperplane arrangement and the computation of the B-differential of the componentwise minimum of two affine vector functions Jean-Pierre Dussault,Jean Charles Gilbert,Baptiste Plaquevent-Jourdain Inria de Paris, Université de Sherbrooke. 2023, pp.22 Rapport (rapport de recherche) hal-04102933v1
Exact computation of an error bound for the balanced linear complementarity problem with unique solution - The full report Jean-Pierre Dussault,Jean Charles Gilbert [Research Report] Inria Paris et Université de Sherbrooke, Canada. 2022 Rapport (rapport de recherche) hal-03389023v2
Plea for a semidefinite optimization solver in complex numbers – The full report Jean Charles Gilbert,Cédric Josz [Research Report] INRIA Paris; LAAS. 2017, pp.46 Rapport (rapport de recherche) hal-01497173v1
Equivalent $R$-linear and $C$-linear systems of equations Jean Charles Gilbert [Research Report] INRIA Paris. 2017 Rapport (rapport de recherche) hal-01522334v2
Plea for a semidefinite optimization solver in complex numbers Jean Charles Gilbert,Cédric Josz [Research Report] Inria Paris. 2017, pp.35 Rapport (rapport de recherche) hal-01422932v2
OQLA/QPALM – Convex quadratic optimization solvers using the augmented Lagrangian approach, with an appropriate behavior on infeasible or unbounded problems Jean Charles Gilbert,Émilie Joannopoulos Inria de Paris, France; Université de Sherbrooke, Canada. 2015 Rapport hal-01110362v1
Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a P-matrix - The full report. Ibtihel Ben Gharbia,Jean Charles Gilbert [Research Report] RR-7160, INRIA. 2012, pp.19 Rapport (rapport de recherche) inria-00442293v5
M1CG1 - A solver of symmetric linear systems by conjugate gradient iterations, using/building a BFGS/l-BFGS preconditionner Jean Charles Gilbert INRIA Rocquencourt, Domaine de Voluceau, BP 105, 78153 Le Chesnay Cedex, France. 2011 Rapport hal-04148144v1
The module M1QN3 Jean Charles Gilbert,Claude Lemaréchal INRIA Rocquencourt, Domaine de Voluceau, BP 105, 78153 Le Chesnay Cedex, France. 2009 Rapport hal-04146287v1
SQPlab - A Matlab software for solving nonlinear optimization problems and optimal control problems Jean Charles Gilbert INRIA. 2009 Rapport hal-04145290v1
QPAL - A solver of convex quadratic optimization problems, using an augmented Lagrangian approach Jean Charles Gilbert [Technical Report] RT-0377, INRIA. 2009, pp.22 Rapport (rapport technique) inria-00442295v1
SQPpro - A solver of nonlinear optimization problems, using an SQP approach Jean Charles Gilbert [Technical Report] RT-0378, INRIA. 2009, pp.24 Rapport (rapport technique) inria-00442314v1
LIBOPT - An environment for testing solvers on heterogeneous collections of problems Jean Charles Gilbert,Xavier Jonsson [Technical Report] RT-0331, INRIA. 2007, pp.35 Rapport (rapport technique) inria-00135013v2
LIBOPT - An environment for testing solvers on heterogeneous collections of problems - The manual Jean Charles Gilbert,Xavier Jonsson [Technical Report] INRIA. 2007, pp.47 Rapport (rapport technique) hal-04176838v1
Organization of the Modulopt collection of optimization problems in the Libopt environment Jean Charles Gilbert [Technical Report] RT-0329, INRIA. 2007, pp.20 Rapport (rapport technique) inria-00132468v3
Applicabilité de la différentiation automatique à un système d'équations aux dérivées partielles régissant les phénomènes thermohydrauliques dans un tube chauffant Frédéric Eyssette,Christèle Faure,Jean Charles Gilbert,Nicole Rostaing-Schmidt RR-2795, INRIA. 1996 Rapport inria-00073895v1
Superlinear convergence of a reduced BFGS method with piecewise line-search and update criterion Jean Charles Gilbert [Research Report] RR-2140, INRIA. 1993 Rapport (rapport de recherche) inria-00074532v1
La Différentiation automatique de fonctions représentées par des programmes Jean Charles Gilbert,Georges Le Vey,J. Masse [Rapport de recherche] RR-1557, INRIA. 1991 Rapport (rapport de recherche) inria-00075004v1
Une méthode à métrique variable réduite en optimisation avec contraintes d'égalité non linéaires Jean Charles Gilbert RR-0482, INRIA. 1986 Rapport inria-00076072v1

Pré-publication, Document de travail (2)

Inside Oqla and Qpalm Jean Charles Gilbert,Émilie Joannopoulos 2014 Pré-publication, Document de travail hal-01110433v1
Oqla user's guide Jean Charles Gilbert,Émilie Joannopoulos 2014 Pré-publication, Document de travail hal-01110441v1