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1

An Inertial Proximal Method for Maximal Monotone Operators via Discretization of a Nonlinear Oscillator with Damping

Felipe Alvarez, Hedy Attouch

Journal:

Set-Valued and Variational Analysis

Year:

2001

Language:

english

File:

PDF, 88 KB

english, 2001

2

Variational Analysis in Sobolev and BV Spaces (Applications to PDEs and Optimization, Second Edition) || Chapter 13: Integral functionals of the calculus of variations

Attouch, Hedy, Buttazzo, Giuseppe, Michaille, Gérard

Year:

2014

Language:

english

File:

PDF, 235 KB

english, 2014

3

Convergence Rates of Inertial Forward-Backward Algorithms

Attouch, Hedy, Cabot, Alexandre

Journal:

SIAM Journal on Optimization

Year:

2018

Language:

english

File:

PDF, 482 KB

english, 2018

4

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods

Hedy Attouch, Jérôme Bolte, Benar Fux Svaiter

Journal:

Mathematical Programming

Year:

2013

Language:

english

File:

PDF, 388 KB

english, 2013

5

A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization

Attouch, Hédy, Peypouquet, Juan, Redont, Patrick

Journal:

SIAM Journal on Optimization

Year:

2014

Language:

english

File:

PDF, 442 KB

english, 2014

6

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

Attouch, Hédy, Bolte, Jérôme, Redont, Patrick, Soubeyran, Antoine

Journal:

Mathematics of Operations Research

Year:

2010

Language:

english

File:

PDF, 357 KB

english, 2010

7

Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity

Attouch, Hedy, Chbani, Zaki, Peypouquet, Juan, Redont, Patrick

Journal:

Mathematical Programming

Year:

2016

Language:

english

File:

PDF, 781 KB

english, 2016

8

Variational Analysis in Sobolev and BV Spaces Volume 511 (Applications to PDEs and Optimization) ||

Attouch, Hedy, Buttazzo, Giuseppe, Michaille, Gérard

Year:

2006

Language:

english

File:

PDF, 115 KB

english, 2006

9

Coupling Forward-Backward with Penalty Schemes and Parallel Splitting for Constrained Variational Inequalities

Attouch, Hédy, Czarnecki, Marc-Olivier, Peypouquet, Juan

Journal:

SIAM Journal on Optimization

Year:

2011

Language:

english

File:

PDF, 300 KB

english, 2011

10

A Continuous Gradient-like Dynamical Approach to Pareto-Optimization in Hilbert Spaces

Attouch, Hédy, Goudou, Xavier

Journal:

Set-Valued and Variational Analysis

Year:

2014

Language:

english

File:

PDF, 548 KB

english, 2014

11

Isometries for the Legendre-Fenchel Transform

Hedy Attouch and Roger J. B. Wets

Journal:

Transactions of the American Mathematical Society

Year:

1986

Language:

english

File:

PDF, 2.12 MB

english, 1986

12

Asymptotic behavior of nonautonomous monotone and subgradient evolution equations

Attouch, Hedy, Cabot, Alexandre, Czarnecki, Marc-Olivier

Journal:

Transactions of the American Mathematical Society

Year:

2017

Language:

english

File:

PDF, 451 KB

english, 2017

13

Asymptotic Control and Stabilization of Nonlinear Oscillators with Non-isolated Equilibria

Hedy Attouch, Marc-Olivier Czarnecki

Journal:

Journal of Differential Equations

Year:

2002

Language:

english

File:

PDF, 280 KB

english, 2002

14

On the convergence of subdifferentials of convex functions

Hedy Attouch, Gerald Beer

Journal:

Archiv der Mathematik

Year:

1993

Language:

english

File:

PDF, 822 KB

english, 1993

15

Variational inequalities with varying obstacles: The general form of the limit problem

Hédy Attouch, Colette Picard

Journal:

Journal of Functional Analysis

Year:

1983

Language:

english

File:

PDF, 2.22 MB

english, 1983

16

Prox-Penalization and Splitting Methods for Constrained Variational Problems

Attouch, Hédy, Czarnecki, Marc-Olivier, Peypouquet, Juan

Journal:

SIAM Journal on Optimization

Year:

2011

Language:

english

File:

PDF, 359 KB

english, 2011

17

Viscosity Solutions of Minimization Problems

Journal:

SIAM Journal on Optimization

Year:

1996

Language:

english

File:

PDF, 3.83 MB

english, 1996

18

A Parallel Splitting Method for Coupled Monotone Inclusions

Attouch, Hédy, Briceño-Arias, Luis M., Combettes, Patrick L.

Journal:

SIAM Journal on Control and Optimization

Year:

2010

Language:

english

File:

PDF, 302 KB

english, 2010

19

Quantitative Stability of Variational Systems: I. The Epigraphical Distance

Hedy Attouch and Roger J.-B. Wets

Journal:

Transactions of the American Mathematical Society

Year:

1991

Language:

english

File:

PDF, 632 KB

english, 1991

20

Variational Analysis in Sobolev and BV Spaces (Applications to PDEs and Optimization, Second Edition) || Back Matter

Attouch, Hedy, Buttazzo, Giuseppe, Michaille, Gérard

Year:

2014

Language:

english

File:

PDF, 233 KB

english, 2014

21

Variational Analysis in Sobolev and BV Spaces (Applications to PDEs and Optimization, Second Edition) || Chapter 7: The finite element method

Attouch, Hedy, Buttazzo, Giuseppe, Michaille, Gérard

Year:

2014

Language:

english

File:

PDF, 277 KB

english, 2014

22

A Convergence Theory for Saddle Functions

Hedy Attouch and Roger J.-B. Wets

Journal:

Transactions of the American Mathematical Society

Year:

1983

Language:

english

File:

PDF, 4.19 MB

english, 1983

23

Backward–forward algorithms for structured monotone inclusions in Hilbert spaces

Attouch, Hédy, Peypouquet, Juan, Redont, Patrick

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 1.23 MB

english, 2016

24

Fast convex optimization via inertial dynamics with Hessian driven damping

Attouch, Hedy, Peypouquet, Juan, Redont, Patrick

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 698 KB

english, 2016

25

Combining fast inertial dynamics for convex optimization with Tikhonov regularization

Attouch, Hedy, Chbani, Zaki, Riahi, Hassan

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 458 KB

english, 2016

26

Asymptotic behavior of gradient-like dynamical systems involving inertia and multiscale aspects

Attouch, Hedy, Czarnecki, Marc-Olivier

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 384 KB

english, 2017

27

Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity

Attouch, Hedy, Cabot, Alexandre

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.74 MB

english, 2017

28

Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators

Attouch, Hedy, Peypouquet, Juan

Journal:

Mathematical Programming

Year:

2018

Language:

english

File:

PDF, 653 KB

english, 2018

29

Inertial Forward–Backward Algorithms with Perturbations: Application to Tikhonov Regularization

Attouch, Hedy, Cabot, Alexandre, Chbani, Zaki, Riahi, Hassan

Journal:

Journal of Optimization Theory and Applications

Year:

2018

Language:

english

File:

PDF, 655 KB

english, 2018

30

Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions

Attouch, Hedy, Cabot, Alexandre

Journal:

Applied Mathematics & Optimization

Year:

2019

Language:

english

File:

PDF, 638 KB

english, 2019

31

Convergence of a relaxed inertial proximal algorithm for maximally monotone operators

Attouch, Hedy, Cabot, Alexandre

Journal:

Mathematical Programming

Year:

2019

Language:

english

File:

PDF, 602 KB

english, 2019

32

Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients

Attouch, Hedy, Chbani, Zaki, Riahi, Hassan

Journal:

Vietnam Journal of Mathematics

Year:

2020

File:

PDF, 714 KB

2020

33

Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping

Adly, Samir, Attouch, Hedy

Journal:

SIAM Journal on Optimization

Year:

2020

File:

PDF, 585 KB

2020

34

Continuous Newton-like Inertial Dynamics for Monotone Inclusions

Attouch, Hedy, LÃ¡szlÃ³, SzilÃ¡rd Csaba

Journal:

Set-Valued and Variational Analysis

Year:

2020

File:

PDF, 657 KB

2020

35

Another isometry for the Legendre-Fenchel transform

Hedy Attouch, Roger J.-B. Wets

Journal:

Journal of Mathematical Analysis and Applications

Year:

1988

Language:

english

File:

PDF, 317 KB

english, 1988

36

Strong solutions for parabolic variational inequalities

Hedy Attouch, Alain Damlamian

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1978

Language:

english

File:

PDF, 1.37 MB

english, 1978

37

On the maximality of the sum of two maximal monotone operators

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1981

Language:

english

File:

PDF, 299 KB

english, 1981

38

Asymptotic behavior of coupled dynamical systems with multiscale aspects

Hedy Attouch, Marc-Olivier Czarnecki

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 323 KB

english, 2010

39

Preface

Hedy Attouch, Michel Théra

Journal:

Set-Valued and Variational Analysis

Year:

1994

Language:

english

File:

PDF, 488 KB

english, 1994

40

Quantitative stability of variational systems: III.ε-approximate solutions

Hedy Attouch, Roger J. -B. Wets

Journal:

Mathematical Programming

Year:

1993

Language:

english

File:

PDF, 904 KB

english, 1993

41

Foreword: Special issue on nonlinear convex optimization and variational inequalities

Hedy Attouch, Roberto Cominetti, Marc Teboulle

Journal:

Mathematical Programming

Year:

2009

Language:

english

File:

PDF, 113 KB

english, 2009

42

On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

Hedy Attouch, Jérôme Bolte

Journal:

Mathematical Programming

Year:

2009

Language:

english

File:

PDF, 178 KB

english, 2009

43

The topology of theρ-hausdorff distance

Hedy Attouch, Roberto Lucchetti, Roger J. -B. Wets

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1991

Language:

english

File:

PDF, 1019 KB

english, 1991

44

Familles d'opérateurs maximaux monotones et mesurabilité

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1979

File:

PDF, 4.10 MB

1979

45

Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning

Attouch, Hedy, Wets, Roger J.-B.

Journal:

SIAM Journal on Optimization

Year:

1993

Language:

english

File:

PDF, 2.27 MB

english, 1993

46

Inequations variationnelles avec obstacles et espaces fonctionnels en theorie du potentiei

Attouch, Hédy, Picard, Colette

Journal:

Applicable Analysis

Year:

1981

Language:

english

File:

PDF, 597 KB

english, 1981

47

A dynamic gradient approach to Pareto optimization with nonsmooth convex objective functions

Attouch, Hédy, Garrigos, Guillaume, Goudou, Xavier

Journal:

Journal of Mathematical Analysis and Applications

Year:

2015

Language:

english

File:

PDF, 423 KB

english, 2015

48

Homogenization for a Volterra Equation

Attouch, Hedy, Damlamian, Alain

Journal:

SIAM Journal on Mathematical Analysis

Year:

1986

Language:

english

File:

PDF, 1.08 MB

english, 1986

49

Variational Analysis in Sobolev and BV Spaces (Applications to PDEs and Optimization, Second Edition) || Chapter 12: Γ-convergence and applications

Attouch, Hedy, Buttazzo, Giuseppe, Michaille, Gérard

Year:

2014

Language:

english

File:

PDF, 540 KB

english, 2014

50

Variational Analysis in Sobolev and BV Spaces (Applications to PDEs and Optimization, Second Edition) || Chapter 11: Relaxation in Sobolev, BV , and Young measures spaces

Attouch, Hedy, Buttazzo, Giuseppe, Michaille, Gérard

Year:

2014

Language:

english

File:

PDF, 450 KB

english, 2014

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