Alexandre Cabot

Identifiants chercheurs

IdHAL :

alexandre-cabot

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069352100

Publications

Article dans une revue (28)

Convergence of a relaxed inertial proximal algorithm for maximally monotone operators Hedy Attouch,Alexandre Cabot Mathematical Programming, 2020, 184 (1-2), pp.243-287. ⟨10.1007/s10107-019-01412-0⟩ Article dans une revue hal-03036039v1
Convergence rate of a relaxed inertial proximal algorithm for convex minimization Hedy Attouch,Alexandre Cabot Optimization, 2020, 69 (6), pp.1281-1312. ⟨10.1080/02331934.2019.1696337⟩ Article dans une revue hal-02415789v1
Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions Hedy Attouch,Alexandre Cabot Applied Mathematics and Optimization, 2019, 80 (3), pp.547-598. ⟨10.1007/s00245-019-09584-z⟩ Article dans une revue hal-02173692v1
The attainment set of $\varphi$-envelope and genericity properties Alexandre Cabot,Abderrahim Jourani,Lionel Thibault,Dariusz Zagrodny Mathematica Scandinavica, 2019, 124 (2), pp.203-246. ⟨10.7146/math.scand.a-110766⟩ Article dans une revue hal-01666630v1
Asymptotic behavior of nonautonomous monotone and subgradient evolution equations Hedy Attouch,Alexandre Cabot,Marc-Olivier Czarnecki Transactions of the American Mathematical Society, 2018, 370 (2), pp.755-790. ⟨10.1090/tran/6965⟩ Article dans une revue hal-01660954v1
Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient Hedy Attouch,Alexandre Cabot,Zaki Chbani,Hassan Riahi Evolution Equations and Control Theory, 2018, 7 (3), pp.353-371. ⟨10.3934/eect.2018018⟩ Article dans une revue hal-02072543v1
Envelopes for sets and functions II: generalized polarity and conjugacy Alexandre Cabot,Abderrahim Jourani,Lionel Thibault Journal of Nonlinear and Convex Analysis, 2018, 19 (8), pp.1297-1318 Article dans une revue hal-01997447v1
Convergence Rates of Inertial Forward-Backward Algorithms Hedy Attouch,Alexandre Cabot SIAM Journal on Optimization, 2018, 28 (1), pp.849-874. ⟨10.1137/17M1114739⟩ Article dans une revue hal-03552951v1
Inertial forward-backward algorithms with perturbations : application to Tikhonov regularization Hedy Attouch,Alexandre Cabot,Zaki Chbani,Hassan Riahi Journal of Optimization Theory and Applications, 2018, 179 (1), pp.1-36. ⟨10.1007/s10957-018-1369-3⟩ Article dans une revue hal-01996816v1
Convergence of damped inertial dynamics governed by regularized maximally monotone operators Hedy Attouch,Alexandre Cabot Journal of Differential Equations, 2018, 264 (12), pp.7138-7182. ⟨10.1016/j.jde.2018.02.017⟩ Article dans une revue hal-01648383v2
Envelopes for sets and functions: regularization and generalized conjugacy Alexandre Cabot,Abderrahim Jourani,Lionel Thibault Mathematika, 2017, 63 (02), pp.383 - 432. ⟨10.1112/S0025579316000309⟩ Article dans une revue hal-01514170v1
Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity Hedy Attouch,Alexandre Cabot Journal of Differential Equations, 2017, 263 (9), pp.5412 - 5458. ⟨10.1016/j.jde.2017.06.024⟩ Article dans une revue hal-01659446v1
Multivalued Exponentiation Analysis. Part III: Forward Exponentials Alexandre Cabot,Alberto Seeger Set-Valued and Variational Analysis, 2014, 22 (3), pp.617-638. ⟨10.1007/s11228-014-0273-8⟩ Article dans une revue hal-02187251v1
Sequential formulae for the normal cone to sublevel sets Lionel Thibault,Alexandre Cabot Transactions of the American Mathematical Society, 2014, 366, pp.6591-6628. ⟨10.1090/S0002-9947-2014-06151-5⟩ Article dans une revue hal-02072992v1
Asymptotics for some semilinear hyperbolic equations with non-autonomous damping Alexandre Cabot,Pierre Frankel Journal of Differential Equations, 2012, 252, pp.294-322. ⟨10.1016/j.jde.2011.09.012⟩ Article dans une revue hal-00522943v1
Asymptotics for a gradient system with memory term Alexandre Cabot Proceedings of the American Mathematical Society, 2009, 137, pp.3013-3024. ⟨10.1090/S0002-9939-09-09910-9⟩ Article dans une revue hal-00333170v1
Asymptotics for some vibro-impact problems with a linear dissipation term Alexandre Cabot,Laetitia Paoli Journal de Mathématiques Pures et Appliquées, 2007, 87 (3), pp.291-323. ⟨10.1016/j.matpur.2007.01.003⟩ Article dans une revue hal-02075061v1
Multivalued Exponentiation Analysis. Part II: Recursive exponentials Alexandre Cabot,Alberto Seeger Set-Valued Analysis, 2006, 14 (4), pp.381-411. ⟨10.1007/s11228-006-0020-x⟩ Article dans une revue istex hal-02179206v1
Multivalued Exponentiation Analysis. Part I: Maclaurin Exponentials Alexandre Cabot,Alberto Seeger Set-Valued Analysis, 2006, 14 (4), pp.347-379. ⟨10.1007/s11228-006-0019-3⟩ Article dans une revue istex hal-02179200v1
An inertial proximal algorithm with dry friction: finite convergence results Alexandre Cabot,Bruno Baji Set Valued Analysis, 2006, 14, pp.1-23 Article dans une revue hal-00068884v1
Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term. Alexandre Cabot,Felipe Alvarez Discrete and Continuous Dynamical Systems - Series S, 2006, 15, pp.921-938 Article dans une revue hal-00068885v1
Proximal point algorithm controlled by a slowly vanishing term. Applications to hierarchical minimization Alexandre Cabot SIAM Journal on Optimization, 2005, 15, pp.555-572 Article dans une revue hal-00068882v1
The steepest descent dynamical system with control. Applications to constrained minimization Alexandre Cabot Control, Optimisation and Calculus of Variations, 2004, 10, pp.243-258 Article dans une revue hal-00068880v1
Steepest descent with curvature dynamical system Alexandre Cabot,Felipe Alvarez Journal of Optimization Theory and Applications, 2004, 120, pp.247-273 Article dans une revue hal-00068879v1
Bounce law at the corners of convex billiards Alexandre Cabot Nonlinear Analysis: Theory, Methods and Applications, 2004, 57, pp.597-614 Article dans une revue hal-00068881v1
Inertial gradient-like dynamical system controlled by a stabilizing term Alexandre Cabot Journal of Optimization Theory and Applications, 2004, 120 (2), pp.275-303. ⟨10.1023/B:JOTA.0000015685.21638.8d⟩ Article dans une revue hal-00068878v1
Incomplete sensitivities and cost function reformulation leading to multi-criteria investigation of inverse problems Alexandre Cabot,Bijan Mohammadi Optimal Control Applications and Methods, 2003, 24, pp.73-84 Article dans une revue hal-00068531v1
Asymptotic control of pairs of oscillators coupled by a repulsion, with non isolated equilibria I : the regular case Alexandre Cabot,Marc-Olivier Czarnecki SIAM Journal on Control and Optimization, 2002, 41, pp.1254-1280 Article dans une revue hal-00068877v1

Pré-publication, Document de travail (1)

Convergence rate of a relaxed inertial proximal algorithm for convex minimization Hedy Attouch,Alexandre Cabot 2018 Pré-publication, Document de travail hal-01807041v1

Communication dans un congrès (1)

Second-order differential equations with asymptotically small dissipation and piecewise flat potentials Alexandre Cabot,Hans Engler,Sébastien Gadat Mississippi State--UAB Conference on Differential Equations and Computational Simulations, 2009, United States. pp.33-38 Communication dans un congrès hal-00628516v1

Chapitre d'ouvrage (2)

On the asymptotic behavior of a system of steepest descent equations coupled by a vanishing mutual repulsion Alexandre Cabot,Felipe Alvarez Seeger A. Recent Advances in Optimization, Springer-Verlag, pp.3-17, 2006, Lectures Notes in Economics and Mathematical Systems N° 563 Chapitre d'ouvrage hal-00068883v1
Finite Time Stabilization of Nonlinear Oscillators Subject to dry Friction Samir Adly,Hedy Attouch,Alexandre Cabot Nonsmooth Mechanics and Analysis, 12, pp.289-304, 2006, Advances in Mechanics and Mathematics, 9780387291963. ⟨10.1007/0-387-29195-4_24⟩ Chapitre d'ouvrage hal-00068295v1