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Jean Charles Gilbert

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Publications

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Polyhedral Newton-min algorithms for complementarity problems

Jean-Pierre Dussault , Mathieu Frappier , Jean Charles Gilbert
Mathematical Programming, 2024, (in revision)
Article dans une revue hal-02306526v3
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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, 2023, (in revision)
Article dans une revue hal-04048393v2
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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A BFGS-IP algorithm for solving strongly convex optimization problems with feasibility enforced by an exact penalty approach

Jean Charles Gilbert , Sophie Jan , Paul Armand
Mathematical Programming, 2002, 92 (3), pp.393-424. ⟨10.1007/s101070100283⟩
Article dans une revue inria-00072546v1
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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
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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
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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
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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
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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
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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
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Global convergence properties of conjugate gradient methods for optimization

Jean Charles Gilbert , J. Nocedal
SIAM Journal on Optimization, 1992, 2 (1), pp.21-42. ⟨10.1137/0802003⟩
Article dans une revue inria-00075291v1
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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 hal-04165358v1
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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
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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
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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
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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
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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

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 hal-00976773v1
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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
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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
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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
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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
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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
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Application of the automatic differentiation tool Odyssée 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
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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 hal-04135365v1

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

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
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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
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ISF and BDIFFMIN

Jean-Pierre Dussault , Jean Charles Gilbert , Baptiste Plaquevent-Jourdain
Logiciel hal-04124994v1
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NMHP

Jean-Pierre Dussault , Mathieu Frappier , Jean Charles Gilbert
Logiciel hal-04156413v1
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SDOlab - A solver of real or complex number semidefinite optimization problems

Jean Charles Gilbert
Logiciel hal-04171857v1
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PGR

Jean Charles Gilbert
Logiciel hal-04156788v1
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QPALM

Jean Charles Gilbert
Logiciel hal-04173030v1
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SQPlab

Jean Charles Gilbert
Logiciel hal-04157088v1
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M1CG1

Jean Charles Gilbert
Logiciel hal-04160440v1
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M1QN3

Jean Charles Gilbert , Claude Lemaréchal
Logiciel hal-04151348v1
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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). 2024, pp.46
Rapport hal-04097624v2
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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 hal-04102933v1
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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. 2023
Rapport hal-03872711v2
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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 hal-03389023v2
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Equivalent $R$-linear and $C$-linear systems of equations

Jean Charles Gilbert
[Research Report] INRIA Paris. 2017
Rapport hal-01522334v2
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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 hal-01497173v1
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Plea for a semidefinite optimization solver in complex numbers

Jean Charles Gilbert , Cédric Josz
[Research Report] Inria Paris. 2017, pp.35
Rapport hal-01422932v2
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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
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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 inria-00442293v5
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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
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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 inria-00442295v1
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SQPpro - A solver of nonlinear optimization problems, using an SQP approach

Jean Charles Gilbert
[Technical Report] RT-0378, INRIA. 2009, pp.24
Rapport inria-00442314v1
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SQPlab - A Matlab software for solving nonlinear optimization problems and optimal control problems

Jean Charles Gilbert
INRIA. 2009
Rapport hal-04145290v1
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The module M1QN3

Jean Charles Gilbert , Claude Lemaréchal
INRIA Rocquencourt, Domaine de Voluceau, BP 105, 78153 Le Chesnay Cedex, France. 2009
Rapport hal-04146287v1
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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 inria-00135013v2
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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 hal-04176838v1
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Organization of the Modulopt collection of optimization problems in the Libopt environment

Jean Charles Gilbert
[Technical Report] RT-0329, INRIA. 2007, pp.20
Rapport inria-00132468v3
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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
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Superlinear convergence of a reduced BFGS method with piecewise line-search and update criterion

Jean Charles Gilbert
[Research Report] RR-2140, INRIA. 1993
Rapport inria-00074532v1
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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 inria-00075004v1
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Une méthode à métrique variable réduite en optimisation avec contraintes d'égalité non linéaires

Jean Charles Gilbert
RR-0482, INRIA. 1986
Rapport inria-00076072v1