Alexandre Cabot

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Publications

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

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

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

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

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
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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
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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
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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 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

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

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
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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

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

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

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

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

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

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
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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