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Bonnans, Joseph Frédéric

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Author ID: bonnans.joseph-frederic Recent zbMATH articles by "Bonnans, Joseph Frédéric"
Published as: Bonnans, J. Frédéric; Bonnans, J. F.; Bonnans, Joseph Frédéric; Bonnans, Frédéric; Frédéric Bonnans, J.; Bonnans, Frederic; Bonnans, F.; Bonnans, Joseph Frederic; Bonnans, Joseph Fréderic; Bonnans, J.  Frédéric; Bonnans, Frédéric J.; Bonnans, J.
Homepage: http://www.cmap.polytechnique.fr/~bonnans/
External Links: MGP
Documents Indexed: 142 Publications since 1983, including 8 Books
1 Contribution as Editor
Reviewing Activity: 175 Reviews
Co-Authors: 81 Co-Authors with 119 Joint Publications
1,195 Co-Co-Authors
all top 5

Co-Authors

23 single-authored
11 Casas, Eduardo
8 Aronna, María Soledad
8 Shapiro, Alexander
8 Zidani, Housnaa
7 Silva, Francisco J.
6 Hermant, Audrey
6 Kröner, Axel
5 Cominetti, Roberto
5 Gianatti, Justina
5 Pfeiffer, Laurent
5 Sagastizábal, Claudia A.
5 Tiba, Dan
4 Gilbert, Jean Charles
4 Ioffe, Alexander Davidovich
4 Lemaréchal, Claude
3 Bonnet, Guillaume
3 Dupuis, Xavier
3 Gabay, Daniel
3 Martinon, Pierre
3 Mirebeau, Jean-Marie
3 Osmolovskiĭ, Nikolaĭ Pavlovich
2 Ben Latifa, Imène
2 Blanchon, G.
2 Cen, Zhihao
2 Christel, Thibault
2 Dodu, Jean-Claude
2 Gonzaga, Clovis C.
2 Haddou, Mounir
2 Launay, Geneviève
2 Laurent-Varin, Julien
2 Maroso, Stefania
2 Mnif, Mohamed
2 Pola, Cecilia
2 Sánchez Fernández De La Vega, Constanza
1 Adam, Soizic
1 Aftalion, Amandine
1 Alvarez, Felipe
1 André, Matthieu A.
1 Barbu, Viorel
1 Bayen, Térence
1 Bérend, Nicolas
1 Bessi Fourati, R.
1 Bolte, Jérôme
1 Bouhtou, Mustapha
1 Chartier, Philippe
1 Cornibert, Laurent
1 Dmitruk, Andrei V.
1 Festa, Adriano
1 Gaubert, Stéphane
1 Gaudrat, Véronique F.
1 Goh, Bean San
1 Gregorutti, Baptiste
1 Guibaud, Th.
1 Guilbaud, Thérèse
1 Hadikhanloo, Saeed
1 Jaisson, Pascal
1 Ketfi-Cherif, Ahmed
1 Lavigne, Pierre
1 Lebelle, Marc
1 Lobo, Miguel Sousa
1 Lotito, Pablo A.
1 Lunz, Davin
1 Ottenwaelter, Élisabeth
1 Panier, Eliane R.
1 Paraisy, Ruben
1 Potra, Florian-Alexandru
1 Ramírez C., Héctor
1 Rébai, Raja
1 Rommel, Cédric
1 Rouchon, Pierre
1 Ruess, Jakob
1 Saguez, Christian
1 Serea, Oana-Silvia
1 Sulem, Agnès
1 Talbot, Christophe
1 Tan, Xiaolu
1 Tits, André Leon
1 Trélat, Emmanuel
1 Veyrat, Sébastien
1 von Wissel, Dirk
1 Wahid, F.
all top 5

Serials

17 SIAM Journal on Control and Optimization
10 Mathematical Programming. Series A. Series B
7 Applied Mathematics and Optimization
6 Journal of Optimization Theory and Applications
5 Mathematics of Operations Research
5 SIAM Journal on Optimization
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 SIAM Journal on Numerical Analysis
3 Universitext
2 Control and Cybernetics
2 Numerical Functional Analysis and Optimization
2 SIAM Journal on Applied Mathematics
2 Journal of Convex Analysis
2 Optimization Methods & Software
2 Optimization and Engineering
2 RAIRO. Operations Research
2 Set-Valued and Variational Analysis
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Mathematical Biosciences
1 Mathematics of Computation
1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 RAIRO. Recherche Opérationnelle
1 Transactions of the American Mathematical Society
1 Optimal Control Applications & Methods
1 Large Scale Systems
1 Systems & Control Letters
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Optimization
1 Revista de Matemáticas Aplicadas
1 Annals of Operations Research
1 Journal of Global Optimization
1 European Journal of Operational Research
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bulletin de la Direction des Études et Recherches. Série C
1 Computational Optimization and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mathematical Reports
1 Stochastics and Dynamics
1 ISNM. International Series of Numerical Mathematics
1 Mathématiques & Applications (Berlin)
1 Monografías del Instituto de Matemática y Ciencias Afines
1 Mathematical Modelling of Natural Phenomena
1 SIAM Journal on Financial Mathematics
1 Matapli
1 Annals of the Academy of Romanian Scientists. Mathematics and its Applications
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 2,118 times in 1,677 Documents Cited by Year
Perturbation analysis of optimization problems. Zbl 0966.49001
Bonnans, J. Frédéric; Shapiro, Alexander
799
2000
Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
109
2006
Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
73
1999
Perturbation analysis of second-order cone programming problems. Zbl 1124.90039
Bonnans, J. Frédéric; Ramírez C., Héctor
71
2005
Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115
Bonnans, J. Frédéric
57
1994
Optimization problems with perturbations: A guided tour. Zbl 0915.49021
Bonnans, J. Frédéric; Shapiro, Alexander
53
1998
Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042
Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L.
38
1992
Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020
Bonnans, J. F.
37
1998
A family of variable metric proximal methods. Zbl 0832.90102
Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A.
34
1995
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
33
1999
An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018
Bonnans, Frédéric; Casas, Eduardo
32
1995
Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003
Bonnans, J. F.; Tiba, D.
31
1991
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
30
2004
Quadratic order conditions for bang-singular extremals. Zbl 1252.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A.
30
2012
Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
30
2003
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023
Bonnans, J. Frédéric; Hermant, Audrey
29
2009
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004
Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J.
25
2014
A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146
Bonnans, J. Frédéric; Pola, Cecilia
22
1997
Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014
Bonnans, Joseph Frederic; Casas, Eduardo
21
1989
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
21
1996
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063
Bonnans, J. Frédéric; Laurent-Varin, Julien
21
2006
First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045
Bonnans, J. Frédéric; Silva, Francisco J.
21
2012
Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
20
2003
Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
18
1998
Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024
Bonnans, J. Frédéric; Jaisson, Pascal
17
2010
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021
Bonnans, J. Frédéric; Hermant, Audrey
17
2009
A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045
Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre
15
2013
Numerical optimization. Theoretical and practice aspects. (Optimisation numérique. Aspects théoretiques et pratiques.) Zbl 0952.65044
Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia
14
1997
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
14
1995
Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. Zbl 1251.49036
Bonnans, J. Frédéric; Hermant, Audrey
12
2007
On an algorithm for optimal control using Pontryagin’s maximum principle. Zbl 0592.49018
Bonnans, Joseph Frédéric
11
1986
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029
Bonnans, J. Frédéric; Festa, Adriano
11
2017
A model-free no-arbitrage price bound for variance options. Zbl 1272.93135
Bonnans, J.  Frédéric; Tan, Xiaolu
11
2013
First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053
Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier
11
2013
Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035
Bonnans, Joseph Frédéric; Casas, Eduardo
10
1991
Contrôle de systèmes elliptiques semilinéaires comportant des contraintes sur l’état. (Control of semilinear elliptic systems with state constraints). Zbl 0656.49011
Bonnans, J. F.; Casas, E.
10
1988
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
10
2009
Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
10
2015
Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026
Bonnans, Joseph Frédéric; Hermant, Audrey
10
2008
Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020
Bonnans, J. Frédéric; Osmolovskiĭ, N. P.
10
2010
Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045
Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent
10
2009
Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044
Bonnans, Joseph Frédéric; Sulem, Agnès
9
1995
Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110
Bonnans, J. F.; Launay, G.
8
1995
Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046
Bonnans, J.; Hermant, A.
8
2009
Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020
Aronna, M. S.; Bonnans, J. F.; Goh, B. S.
8
2016
Energy contracts management by stochastic programming techniques. Zbl 1254.90132
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
8
2012
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
7
2006
Optimal structure of gas transmission trunklines. Zbl 1272.90005
André, Jean; Bonnans, J. Frédéric
7
2011
Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022
Bonnans, J. F.; Guibaud, Th.
7
2003
Optimal control of state constrained integral equations. Zbl 1221.49039
Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza
7
2010
Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266
Bonnans, J. Frédéric; Shapiro, Alexander
7
1998
On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019
Bonnans, J. Frédéric
6
1997
The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061
Bonnans, J. F.; Bouhtou, M.
6
1995
Schauder estimates for a class of potential mean field games of controls. Zbl 1468.91016
Bonnans, J. Frédéric; Hadikhanloo, Saeed; Pfeiffer, Laurent
6
2021
Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002
Bonnans, J. Frédéric; Silva, Francisco J.
6
2011
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
6
2014
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
6
2007
Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076
Shapiro, A.; Bonnans, J. F.
5
1992
A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098
Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed
5
2015
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
5
1997
On the choice of the function spaces for some state-constrained control problems. Zbl 0589.49016
Bonnans, J. F.; Casas, E.
5
1985
On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096
Bonnans, J. F.; Launay, G.
5
1991
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
5
1995
Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021
Bonnans, J. Frédéric
5
2000
MIDAS: a mixed integer dynamic approximation scheme. Zbl 1467.90027
Philpott, A. B.; Wahid, F.; Bonnans, J. F.
5
2020
Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020
Bonnans, J. Frédéric
5
1998
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
4
2018
A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017
Bonnans, J. Frédéric; Casas, Eduardo
4
1992
Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064
Bonnans, J. F.
4
1992
Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022
Bonnans, J. Frédéric; Cominetti, Roberto
4
1996
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. (Conditions d’optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l’état et une commande scalaires.) Zbl 1101.49020
Bonnans, J. Frédéric; Hermant, Audrey
4
2006
Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023
Bonnans, J. Frédéric
4
2010
Optimal control of state constrained age-structured problems. Zbl 1446.49019
Bonnans, J. Frédéric; Gianatti, Justina
4
2020
Convex and stochastic optimization. Zbl 1417.90001
Bonnans, J. Frédéric
3
2019
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
3
1992
Quelques méthodes pour le contrôle optimal de problèmes comportant des contraintes sur l’état. (Some methods for optimal control of state constrained problems). Zbl 0614.49019
Bonnans, J. F.; Casas, E.
3
1986
Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
3
2014
On the choice of the function spaces for some state-constrained control problems. Zbl 0572.49009
Bonnans, J. F.; Casas, E.
3
1985
A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065
Bonnans, J. F.
3
1989
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa
3
2004
Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037
Bonnans, J. F.; Tiba, D.
3
2009
Quadratic growth conditions in optimal control problems. Zbl 1235.49042
Bonnans, J. Frédéric; Osmolovskii, N. P.
3
2010
Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068
Bonnans, Joseph Frédéric
2
1989
Une extension de la programmation quadratique successive. Zbl 0559.90081
Bonnans, Joseph Frédéric; Gabay, Daniel
2
1984
Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2018
Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176
Bonnans, J. Frédéric; Gianatti, Justina
2
2020
Optimal control of PDEs in a complex space setting: application to the Schrödinger equation. Zbl 1412.49051
Aronna, M. Soledad; Bonnans, Joseph Frédéric; Kröner, Axel
2
2019
State constrained control-affine parabolic problems. II: Second order sufficient optimality conditions. Zbl 1465.49003
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2021
Monotone and second order consistent scheme for the two dimensional Pucci equation. Zbl 1475.65164
Bonnans, Joseph Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie
2
2021
Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037
Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe
2
2006
Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053
Bonnans, J. Frédéric
2
2014
Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024
Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia
2
2013
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118
Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
2
2012
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055
Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Control and optimization of dynamical systems. (Commande et optimisation de systèmes dynamiques.) Zbl 1229.37001
Bonnans, Frédéric; Rouchon, Pierre
2
2005
Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020
Bonnans, J. Frédéric; Osmolovskii, Nikolai P.
2
2012
Schauder estimates for a class of potential mean field games of controls. Zbl 1468.91016
Bonnans, J. Frédéric; Hadikhanloo, Saeed; Pfeiffer, Laurent
6
2021
State constrained control-affine parabolic problems. II: Second order sufficient optimality conditions. Zbl 1465.49003
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2021
Monotone and second order consistent scheme for the two dimensional Pucci equation. Zbl 1475.65164
Bonnans, Joseph Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie
2
2021
Second order monotone finite differences discretization of linear anisotropic differential operators. Zbl 1483.65169
Bonnans, J. Frédéric; Bonnet, Guillaume; Mirebeau, Jean-Marie
1
2021
MIDAS: a mixed integer dynamic approximation scheme. Zbl 1467.90027
Philpott, A. B.; Wahid, F.; Bonnans, J. F.
5
2020
Optimal control of state constrained age-structured problems. Zbl 1446.49019
Bonnans, J. Frédéric; Gianatti, Justina
4
2020
Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176
Bonnans, J. Frédéric; Gianatti, Justina
2
2020
Convex and stochastic optimization. Zbl 1417.90001
Bonnans, J. Frédéric
3
2019
Optimal control of PDEs in a complex space setting: application to the Schrödinger equation. Zbl 1412.49051
Aronna, M. Soledad; Bonnans, Joseph Frédéric; Kröner, Axel
2
2019
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Zbl 1454.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
4
2018
Correction to: “Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations”. Zbl 1447.49037
Aronna, M. Soledad; Bonnans, J. Frédéric; Kröner, Axel
2
2018
Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. Zbl 1394.49029
Bonnans, J. Frédéric; Festa, Adriano
11
2017
Second order analysis of control-affine problems with scalar state constraint. Zbl 1352.49020
Aronna, M. S.; Bonnans, J. F.; Goh, B. S.
8
2016
Second-order necessary conditions in Pontryagin form for optimal control problems. Zbl 1326.49028
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
10
2015
A general optimal multiple stopping problem with an application to swing options. Zbl 1327.60098
Ben Latifa, Imène; Bonnans, Joseph Frédéric; Mnif, Mohamed
5
2015
Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations. Zbl 1297.49004
Bayen, Térence; Bonnans, J. Frédéric; Silva, Francisco J.
25
2014
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
6
2014
Second-order sufficient conditions for strong solutions to optimal control problems. Zbl 1293.49039
Bonnans, J. Frédéric; Dupuis, Xavier; Pfeiffer, Laurent
3
2014
Optimal control of a semilinear parabolic equation with singular arcs. Zbl 1301.49053
Bonnans, J. Frédéric
2
2014
A shooting algorithm for optimal control problems with singular Arcs. Zbl 1275.49045
Soledad Aronna, M.; Frédéric Bonnans, J.; Martinon, Pierre
15
2013
A model-free no-arbitrage price bound for variance options. Zbl 1272.93135
Bonnans, J.  Frédéric; Tan, Xiaolu
11
2013
First- and second-order optimality conditions for optimal control problems of state constrained integral equations. Zbl 1354.49053
Bonnans, J. Frédéric; de la Vega, Constanza; Dupuis, Xavier
11
2013
Sensitivity analysis for relaxed optimal control problems with final-state constraints. Zbl 1281.49024
Frédéric Bonnans, J.; Pfeiffer, Laurent; Serea, Oana Silvia
2
2013
Quadratic order conditions for bang-singular extremals. Zbl 1252.49028
Aronna, M. Soledad; Bonnans, J. Frédéric; Dmitruk, Andrei V.; Lotito, Pablo A.
30
2012
First and second order necessary conditions for stochastic optimal control problems. Zbl 1244.49045
Bonnans, J. Frédéric; Silva, Francisco J.
21
2012
Energy contracts management by stochastic programming techniques. Zbl 1254.90132
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
8
2012
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Zbl 1250.93118
Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Sensitivity analysis of energy contracts by stochastic programming techniques. Zbl 1269.90070
Bonnans, J. Frédéric; Cen, Zhihao; Christel, Thibault
2
2012
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Zbl 1252.49055
Álvarez, Felipe; Bolte, Jérôme; Bonnans, J. Frédéric; Silva, Francisco J.
2
2012
Characterization of a local quadratic growth of the Hamiltonian for control constrained optimal control problems. Zbl 1264.49020
Bonnans, J. Frédéric; Osmolovskii, Nikolai P.
2
2012
Optimal structure of gas transmission trunklines. Zbl 1272.90005
André, Jean; Bonnans, J. Frédéric
7
2011
Asymptotic expansion for the solutions of control constrained semilinear elliptic problems with interior penalties. Zbl 1323.49002
Bonnans, J. Frédéric; Silva, Francisco J.
6
2011
Optimal control of a parabolic equation with time-dependent state constraints. Zbl 1208.49024
Bonnans, J. Frédéric; Jaisson, Pascal
17
2010
Second-order analysis of optimal control problems with control and initial-final state constraints. Zbl 1207.49020
Bonnans, J. Frédéric; Osmolovskiĭ, N. P.
10
2010
Optimal control of state constrained integral equations. Zbl 1221.49039
Bonnans, Joseph Frédéric; Sánchez Fernández de la Vega, Constanza
7
2010
Lipschitz solutions of optimal control problems with state constraints of arbitrary order. Zbl 1225.49023
Bonnans, J. Frédéric
4
2010
Quadratic growth conditions in optimal control problems. Zbl 1235.49042
Bonnans, J. Frédéric; Osmolovskii, N. P.
3
2010
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Zbl 1158.49023
Bonnans, J. Frédéric; Hermant, Audrey
29
2009
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Zbl 1167.49021
Bonnans, J. Frédéric; Hermant, Audrey
17
2009
Singular arcs in the generalized Goddard’s problem. Zbl 1159.49027
Bonnans, F.; Martinon, P.; Trélat, E.
10
2009
Optimization of capacity expansion planning for gas transportation networks. Zbl 1176.90045
Andre, Jean; Bonnans, Frédéric; Cornibert, Laurent
10
2009
Revisiting the analysis of optimal control problems with several state constraints. Zbl 1242.49046
Bonnans, J.; Hermant, A.
8
2009
Control problems with mixed constraints and application to an optimal investment problem. Zbl 1212.49037
Bonnans, J. F.; Tiba, D.
3
2009
Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods. Zbl 1148.49026
Bonnans, Joseph Frédéric; Hermant, Audrey
10
2008
Fast computation of the leastcore and prenucleolus of cooperative games. Zbl 1154.91317
Bonnans, Joseph Frédéric; André, Matthieu
2
2008
Well-posedness of the shooting algorithm for state constrained optimal control problems with a single constraint and control. Zbl 1251.49036
Bonnans, J. Frédéric; Hermant, Audrey
12
2007
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
6
2007
Numerical optimization. Theoretical and practical aspects. Transl. from the French. 2nd reviseded. Zbl 1108.65060
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
109
2006
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Zbl 1112.65063
Bonnans, J. Frédéric; Laurent-Varin, Julien
21
2006
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
7
2006
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. (Conditions d’optimalité du second ordre nécessaires ou suffisantes pour les problèmes de commande optimale avec une contrainte sur l’état et une commande scalaires.) Zbl 1101.49020
Bonnans, J. Frédéric; Hermant, Audrey
4
2006
Fast linear algebra for multiarc trajectory optimization. Zbl 1105.49037
Bérend, Nicolas; Bonnans, J. Frédéric; Laurent-Varin, Julien; Haddou, Mounir; Talbot, Christophe
2
2006
Perturbation analysis of second-order cone programming problems. Zbl 1124.90039
Bonnans, J. Frédéric; Ramírez C., Héctor
71
2005
Control and optimization of dynamical systems. (Commande et optimisation de systèmes dynamiques.) Zbl 1229.37001
Bonnans, Frédéric; Rouchon, Pierre
2
2005
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
30
2004
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa
3
2004
Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
30
2003
Numerical optimization. Theoretical and practical aspects. Transl. from the French. Zbl 1014.65045
Bonnans, J. Frédéric; Gilbert, J. Charles; Lemaréchal, Claude; Sagastizábal, Claudia A.
20
2003
Using logarithmic penalties in the shooting algorithm for optimal control problems. Zbl 1073.49022
Bonnans, J. F.; Guibaud, Th.
7
2003
The obstacle problem for water tanks. Zbl 1034.49037
Bonnans, J. F.; Bessi Fourati, R.; Smaoui, H.
1
2003
Perturbation analysis of optimization problems. Zbl 0966.49001
Bonnans, J. Frédéric; Shapiro, Alexander
799
2000
Mathematical study of very high voltage power networks. III: The optimal AC power flow problem. Zbl 0973.49021
Bonnans, J. Frédéric
5
2000
Second order optimality conditions based on parabolic second order tangent sets. Zbl 0990.90127
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
73
1999
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
33
1999
Optimization problems with perturbations: A guided tour. Zbl 0915.49021
Bonnans, J. Frédéric; Shapiro, Alexander
53
1998
Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Zbl 0917.49020
Bonnans, J. F.
37
1998
Sensitivity analysis of optimization problems under second order regular constraints. Zbl 0977.90053
Bonnans, J. Frédéric; Cominetti, Roberto; Shapiro, Alexander
18
1998
Nondegeneracy and quantitative stability of parameterized optimization problems with multiple solutions. Zbl 0912.90266
Bonnans, J. Frédéric; Shapiro, Alexander
7
1998
Mathematical study of very high voltage power networks. II: The AC power flow problem. Zbl 0922.49020
Bonnans, J. Frédéric
5
1998
A trust region interior point algorithm for linearly constrained optimization. Zbl 0899.90146
Bonnans, J. Frédéric; Pola, Cecilia
22
1997
Numerical optimization. Theoretical and practice aspects. (Optimisation numérique. Aspects théoretiques et pratiques.) Zbl 0952.65044
Bonnans, Frédéric J.; Gilbert, Jean Charles; Lemaréchal, Claude; Sagastizábal, Claudia
14
1997
On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
Mathematical study of very high voltage power networks. I: The optimal DC power flow problem. Zbl 0922.49019
Bonnans, J. Frédéric
6
1997
Fast convergence of the simplified largest step path following algorithm. Zbl 0881.90114
Gonzaga, Clovis C.; Bonnans, J. Frédéric
5
1997
Convergence of interior point algorithms for the monotone linear complementarity problem. Zbl 0846.90109
Bonnans, J. Frédéric; Gonzaga, Clovis C.
21
1996
Perturbed optimization in Banach spaces. I: A general theory based on a weak directional constraint qualification. Zbl 0862.49022
Bonnans, J. Frédéric; Cominetti, Roberto
4
1996
Perturbed optimization in Banach spaces. II: A theory based on a strong directional constraint qualification. Zbl 0862.49023
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
Perturbed optimization in Banach spaces. III: Semi-infinite optimization. Zbl 0872.49008
Bonnans, J. Frédéric; Cominetti, Roberto
2
1996
A family of variable metric proximal methods. Zbl 0832.90102
Bonnans, J. F.; Gilbert, J. Ch.; Lemaréchal, C.; Sagastizábal, C. A.
34
1995
An extension of Pontryagin’s principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. Zbl 0821.49018
Bonnans, Frédéric; Casas, Eduardo
32
1995
Second-order sufficiency and quadratic growth for nonisolated minima. Zbl 0846.90095
Bonnans, Joseph Frédéric; Ioffe, Alexander
14
1995
Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Zbl 0842.65044
Bonnans, Joseph Frédéric; Sulem, Agnès
9
1995
Sequential quadratic programming with penalization of the displacement. Zbl 0841.90110
Bonnans, J. F.; Launay, G.
8
1995
The trust region affine interior point algorithm for convex and nonconvex quadratic programming. Zbl 0835.90061
Bonnans, J. F.; Bouhtou, M.
6
1995
Quadratic growth and stability in convex programming problems with multiple solutions. Zbl 0839.90090
Bonnans, J. Frédéric; Ioffe, Alexander D.
5
1995
Local analysis of Newton-type methods for variational inequalities and nonlinear programming. Zbl 0809.90115
Bonnans, J. Frédéric
57
1994
Avoiding the Maratos effect by means of a nonmonotone line search. II: Inequality constrained problems — feasible iterates. Zbl 0763.65042
Bonnans, J. Frédéric; Panier, Eliane R.; Tits, André L.; Zhou, Jian L.
38
1992
Sensitivity analysis of parametrized programs under cone constraints. Zbl 0766.90076
Shapiro, A.; Bonnans, J. F.
5
1992
A boundary Pontryagin’s principle for the optimal control of state- constrained elliptic systems. Zbl 0769.49017
Bonnans, J. Frédéric; Casas, Eduardo
4
1992
Directional derivatives of optimal solutions in smooth nonlinear programming. Zbl 0792.90064
Bonnans, J. F.
4
1992
Expansion of exact and approximate solutions in nonlinear programming. Zbl 0769.90070
Bonnans, J. Frédéric; Ioffe, Alexander D.; Shapiro, Alexander
3
1992
Pontryagin’s principle in the control of semilinear elliptic variational inequalities. Zbl 0728.49003
Bonnans, J. F.; Tiba, D.
31
1991
Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems). Zbl 0742.93035
Bonnans, Joseph Frédéric; Casas, Eduardo
10
1991
On the stability of sets defined by a finite number of equalities and inequalities. Zbl 0794.93096
Bonnans, J. F.; Launay, G.
5
1991
On the stability of solutions in nonlinear programming. Zbl 0722.90076
Bonnans, J. F.
1
1990
Optimal control of semilinear multistate systems with state constraints. Zbl 0667.49014
Bonnans, Joseph Frederic; Casas, Eduardo
21
1989
A semistrong sufficiency condition for optimality in nonconvex programming and its connection to the perturbation problem. Zbl 0631.90065
Bonnans, J. F.
3
1989
Asymptotic admissibility of the unit stepsize in exact penalty methods. Zbl 0678.90068
Bonnans, Joseph Frédéric
2
1989
Local study of Newton type algorithms for constrained problems. Zbl 0693.49016
Bonnans, J. F.
1
1989
An introduction to Newton type algorithms for nonlinearly constrained optimization problems. Zbl 0683.90075
Bonnans, Joseph Frédéric
1
1989
...and 7 more Documents
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Cited by 1,994 Authors

45 Zhang, Liwei
42 Bonnans, Joseph Frédéric
30 Mordukhovich, Boris S.
23 Casas, Eduardo
23 Izmailov, Alekseĭ F.
23 Solodov, Mikhail V.
17 Zhou, Jinchuan
15 Shapiro, Alexander
15 Yang, Xiaoqi
15 Yao, Jen-Chih
14 Arutyunov, Aram Vladimirovic
14 Mehlitz, Patrick
14 Wachsmuth, Gerd
13 Sun, Defeng
13 Tröltzsch, Fredi
13 Zhu, Detong
12 Hintermüller, Michael
12 Osmolovskiĭ, Nikolaĭ Pavlovich
12 Surowiec, Thomas
12 Xu, Huifu
11 Jian, Jinbao
11 Outrata, Jiří V.
11 Phan Quôc Khánh
11 Sarabi, M. Ebrahim
11 Silva, Francisco J.
10 Aronna, María Soledad
10 Frankowska, Hélène
10 Guan, Hongbo
10 Haeser, Gabriel
10 Kostyukova, Olga Ivanova
9 Chen, Jein-Shan
9 Gfrerer, Helmut
9 Mirebeau, Jean-Marie
9 Song, Wen
9 Wachsmuth, Daniel
9 Zhang, Haisen
9 Zhang, Jie
9 Zhang, Xu
8 Fukushima, Masao
8 Kanzow, Christian
8 López-Cerdá, Marco Antonio
8 Nghia, Tran Thai An
8 Pan, Shaohua
8 Potra, Florian-Alexandru
8 Rösch, Arnd
8 Tan, Xiaolu
8 Tang, Chunming
8 Tchemisova, Tatiana V.
8 Teo, Kok Lay
8 Touzi, Nizar
8 Tuan, Nguyen Dinh
8 Xiu, Naihua
8 Zhu, Zhibin
7 Avakov, Evgeniĭ Rachievich
7 Bermúdez, Alfredo
7 De los Reyes, Juan Carlos
7 Durea, Marius
7 Jakobsen, Espen Robstad
7 Klatte, Diethard
7 Liu, Yong-Jin
7 Meyer, Christian
7 Pang, Jong-Shi
7 Qi, Houduo
7 Qi, Liqun
7 Sagastizábal, Claudia A.
7 Sun, Hailin
7 Xiao, Xiantao
7 Nguyen Dong Yen
6 Bednarczuk, Ewa M.
6 Christof, Constantin
6 Chuong, Thai Doan
6 Dentcheva, Darinka
6 Dontchev, Asen L.
6 Fernández, Damián
6 Gianatti, Justina
6 Guo, Shaoyan
6 Hermant, Audrey
6 Lewis, Adrian S.
6 Li, Shengjie
6 Luan, Shu
6 Neitzel, Ira
6 Nguyen Thi Toan
6 Nhu, Vu Huu
6 Pang, Liping
6 Pfeiffer, Laurent
6 Phạm Tiên So’n
6 Picarelli, Athena
6 Reich, Simeon
6 Reisinger, Christoph
6 Ruszczyński, Andrzej
6 Shi, Dongyang
6 Strugariu, Radu
6 Toh, Kim Chuan
6 Trélat, Emmanuel
6 Ulbrich, Michael
6 Ye, Jane J.
6 Zheng, Xiyin
6 Zidani, Hasnaa
5 Amstutz, Samuel
5 Andreani, Roberto
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Cited in 268 Serials

149 Journal of Optimization Theory and Applications
119 Mathematical Programming. Series A. Series B
94 SIAM Journal on Optimization
71 Computational Optimization and Applications
55 SIAM Journal on Control and Optimization
47 Set-Valued and Variational Analysis
44 Journal of Global Optimization
42 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
37 Journal of Computational and Applied Mathematics
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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35 Journal of Mathematical Analysis and Applications
34 Optimization
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28 Optimization Letters
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25 Optimization Methods & Software
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14 Operations Research Letters
13 Journal of Inequalities and Applications
11 SIAM Journal on Numerical Analysis
11 Annals of Operations Research
11 Numerical Algorithms
10 Journal of Convex Analysis
10 Optimization and Engineering
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9 Systems & Control Letters
9 The Annals of Applied Probability
9 Positivity
9 Mathematical Control and Related Fields
8 Automatica
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8 Journal of the Operations Research Society of China
7 Acta Mathematica Vietnamica
7 Journal of Differential Equations
7 Applied Numerical Mathematics
7 Acta Mathematicae Applicatae Sinica. English Series
7 Linear Algebra and its Applications
7 Top
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6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Science China. Mathematics
5 Applicable Analysis
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3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Computers & Operations Research
3 Numerical Methods for Partial Differential Equations
3 Applications of Mathematics
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3 European Journal of Control
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3 Vietnam Journal of Mathematics
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3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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