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Hiriart-Urruty, Jean-Baptiste

Author ID: hiriart-urruty.jean-baptiste Recent zbMATH articles by "Hiriart-Urruty, Jean-Baptiste"
Published as: Hiriart-Urruty, Jean-Baptiste; Hiriart-Urruty, J.-B.; Hiriart-Urruty, J. B.; Hiriart-Urruty, Jean-B.; Hiriart-Urruty, J-B.
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 145 Publications since 1975, including 13 Books
9 Contributions as Editor
Reviewing Activity: 10 Reviews
Co-Authors: 64 Co-Authors with 67 Joint Publications
1,776 Co-Co-Authors
all top 5

Serials

12 Quadrature
10 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
8 Comptes Rendus de l’Académie des Sciences. Série I
6 Journal of Global Optimization
5 American Mathematical Monthly
5 Journal of Mathematical Analysis and Applications
5 Journal of Optimization Theory and Applications
4 SIAM Journal on Control and Optimization
4 Nonlinear Analysis. Theory, Methods & Applications
3 Annales des Sciences Mathématiques du Québec
3 Applied Mathematics and Optimization
3 SIAM Review
3 Mathematical Programming. Series A. Series B
3 Optimization Letters
2 Mathematical Programming Study
2 Elemente der Mathematik
2 Cybernetics and Systems Analysis
2 Top
2 Journal of Convex Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 RAIRO. Operations Research
2 Grundlehren der Mathematischen Wissenschaften
2 Set-Valued and Variational Analysis
2 Springer Undergraduate Mathematics Series
1 Applicable Analysis
1 Acta Mathematica Vietnamica
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Canadian Mathematical Bulletin
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Mathematics of Operations Research
1 Mathematical Programming
1 Mathematica Scandinavica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Probability and Mathematical Statistics
1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 SIAM Journal on Mathematical Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Optimization and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 Optimization Methods & Software
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Dynamical and Control Systems
1 Pacific Journal of Optimization
1 Bollettino della Unione Matematica Italiana. Series V. B
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Contributions to Discrete Mathematics
1 ISNM. International Series of Numerical Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Mathématiques & Applications (Berlin)
1 North-Holland Mathematics Studies
1 Matapli
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Springer Optimization and Its Applications
1 Grundlehren Text Editions

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 3,411 times in 2,749 Documents Cited by Year
Convex analysis and minimization algorithms. Part 1: Fundamentals. Zbl 0795.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
800
1993
Fundamentals of convex analysis. Zbl 0998.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
435
2001
Convex analysis and minimization algorithms II: Advanced theory and bundle methods. Zbl 0795.49002
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
266
1993
Tangent cones, generalized gradients and mathematical programming in Banach spaces. Zbl 0409.90086
Hiriart-Urruty, J. B.
203
1979
Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data. Zbl 0542.49011
Hiriart-Urruty, Jean-Baptiste; Strodiot, Jean-Jacques; Nguyen, V. Hien
174
1984
Generalized differentiability, duality and optimization for problems dealing with differences of convex functions. Zbl 0591.90073
Hiriart-Urruty, J.-B.
95
1985
New concepts in nondifferentiable programming. Zbl 0469.90071
Hiriart-Urruty, J-B.
91
1979
A variational approach to copositive matrices. Zbl 1207.15037
Hiriart-Urruty, J.-B.; Seeger, A.
84
2010
From convex optimization to nonconvex optimization. Necessary and sufficient conditions for global optimality. Zbl 0735.90056
Hiriart-Urruty, J.-B.
78
1989
On optimality conditions in nondifferentiable programming. Zbl 0373.90071
Hiriart-Urruty, J. B.
73
1978
Lipschitz r-continuity of the approximate subdifferential of a convex function. Zbl 0426.26005
Hiriart-Urruty, J.-B.
52
1980
What is the subdifferential of the closed convex hull of a function? Zbl 0876.49018
Benoist, J.; Hiriart-Urruty, J.-B.
51
1996
Subdifferential calculus using \(\varepsilon\)-subdifferentials. Zbl 0791.49017
Hiriart-Urruty, J.-B.; Phelps, R. R.
48
1993
Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey. Zbl 0846.49004
Hiriart-Urruty, J.-B.; Moussaoui, M.; Seeger, A.; Volle, M.
47
1995
Sensitivity analysis of all eigenvalues of a symmetric matrix. Zbl 0816.15016
Hiriart-Urruty, J.-B.; Ye, D.
46
1995
Refinements of necessary optimality conditions in nondifferentiable programming. I. Zbl 0389.90088
Hiriart-Urruty, J.-B.
36
1979
Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints. Zbl 1172.90501
Hiriart-Urruty, Jean-Baptiste
35
2001
Limiting behaviour of the approximate first order and second order directional derivatives for a convex function. Zbl 0536.26007
Hiriart-Urruty, J.-B.
34
1982
Conditions for global optimality. II. Zbl 0922.90109
Hiriart-Urruty, Jean-Baptiste
32
1998
Potpourri of conjectures and open questions in nonlinear analysis and optimization. Zbl 1120.15025
Hiriart-Urruty, Jean-Baptiste
32
2007
Images of connected sets by semicontinuous multifunctions. Zbl 0578.54013
Hiriart-Urruty, J.-B.
29
1985
A general formula on the conjugate of the difference of functions. Zbl 0608.90087
Hiriart-Urruty, J.-B.
27
1986
Extension of Lipschitz functions. Zbl 0455.26006
Hiriart-Urruty, J.-B.
27
1980
Permanently going back and forth between the “quadratic world” and the “convexity world” in optimization. Zbl 1004.52003
Hiriart-Urruty, J.-B.; Torki, M.
25
2002
Mean value theorems in nonsmooth analysis. Zbl 0462.49032
Hiriart-Urruty, J.-B.
23
1980
Calculus rules on a new set-valued second order derivative for convex functions. Zbl 0705.26013
Hiriart-Urruty, J.-B.; Seeger, A.
19
1989
Gradients généralises de fonctions marginales. Zbl 0385.90099
Hiriart-Urruty, J. B.
19
1978
A note on the characterization of the global maxima of a (tangentially) convex function over a convex set. Zbl 0877.49017
Hiriart-Urruty, J.-B.; Ledyaev, Yuri S.
17
1996
Characterizations of the plenary hull of the generalized Jacobian matrix. Zbl 0532.26007
Hiriart-Urruty, J.-B.
17
1982
Conditions for global optimality. Zbl 0821.90102
Hiriart-Urruty, J.-B.
17
1995
Approximating a second-order directional derivative for nonsmooth convex functions. Zbl 0507.49021
Hiriart-Urruty, J. B.
16
1982
How to regularize a difference of convex functions. Zbl 0807.46041
Hiriart-Urruty, J.-B.
16
1991
A new set-valued second order derivative for convex functions. Zbl 0619.26009
Hiriart-Urruty, J.-B.
15
1986
Calculus rules on the approximate second-order directional derivative of a convex function. Zbl 0557.90077
Hiriart-Urruty, J.-B.
15
1984
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
14
2003
Comparison of public-domain software for black box global optimization. Zbl 0963.90062
Mongeau, M.; Karsenty, H.; Rouzé, V.; Hiriart-Urruty, J.-B.
12
2000
Optimisation and convex analysis. (Optimisation et analyse convexe.) Zbl 0892.49001
Hiriart-Urruty, Jean-Baptiste
12
1998
Moreau’s decomposition theorem revisited. Zbl 0675.90093
Hiriart-Urruty, J. B.; Plazanet, Ph.
12
1989
Refinements of necessary optimality conditions in nondifferentiable programming. II. Zbl 0507.90082
Hiriart-Urruty, J.-B.
12
1982
A fresh variational-analysis look at the positive semidefinite matrices world. Zbl 1254.90166
Hiriart-Urruty, Jean-Baptiste; Malick, Jérôme
12
2012
Formulations variationnelles de l’addition parallèle et de la soustraction parallèle d’opérateurs semi-définis positifs. (Variational formulations of the parallel addition and of the parallel subtraction of positive semi-definite operators). Zbl 0597.15008
Hiriart-Urruty, Jean-Baptiste; Mazure, Marie-Laurence
11
1986
The second order subdifferential and the Dupin indicatrices of a nondifferentiable convex function. Zbl 0632.53009
Hiriart-Urruty, J.-B.; Seeger, A.
11
1989
The farthest point conjecture revisited. (La conjecture des points les plus éloignés revisitée.) Zbl 1129.46007
Hiriart-Urruty, Jean-Baptiste
11
2005
Testing copositivity with the help of difference-of-convex optimization. Zbl 1290.90062
Dür, Mirjam; Hiriart-Urruty, Jean-Baptiste
11
2013
Chebyshev sets vs convex sets: the situation from the perspective of convex nonsmooth analysis. (Ensembles de Tchebychev vs. ensembles convexes: l’état de la situation vu via l’analyse convexe non lisse.) Zbl 1098.49506
Hiriart-Urruty, Jean-Baptiste
11
1998
The conjugate of the difference of convex functions. Zbl 0568.90076
Ellaia, R.; Hiriart-Urruty, J.-B.
10
1986
Miscellanies on nonsmooth analysis and optimization. Zbl 0587.49015
Hiriart-Urruty, J.-B.
10
1985
A short proof of the variational principle for approximate solutions of a minimization problem. Zbl 0516.49015
Hiriart-Urruty, J.-B.
10
1983
A new series of conjectures and open questions in optimization and matrix analysis. Zbl 1179.15023
Hiriart-Urruty, Jean-Baptiste
10
2009
A note on the mean value theorem for convex functions. Zbl 0446.26006
Hiriart-Urruty, J.-B.
10
1980
At what points is the projection mapping differentiable? Zbl 0505.26004
Hiriart-Urruty, J.-B.
9
1982
A variational approach of the rank function. Zbl 1269.49019
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
9
2013
Mathematical properties of optimization problems defined by positively homogeneous functions. Zbl 1049.90064
Lasserre, J. B.; Hiriart-Urruty, J. B.
9
2002
When is a point x satisfying \(\nabla f(x)=0\) a global minimum of f? Zbl 0603.49015
Hiriart-Urruty, J.-B.
8
1986
The \(\varepsilon\)-strategy in variational analysis: illustration with the closed convexification of a function. Zbl 1229.90265
Hiriart-Urruty, Jean-Baptiste; López, Marco A.; Volle, Michel
8
2011
Bases, tools and principles for variational analysis. (Bases, outils et principes pour l’analyse variationnelle.) Zbl 1357.49002
Hiriart-Urruty, Jean-Baptiste
8
2012
Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints. Zbl 1047.90066
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
8
2002
Feature selection in SVM via polyhedral \(k\)-norm. Zbl 1433.90133
Gaudioso, Manlio; Gorgone, E.; Hiriart-Urruty, J.-B.
8
2020
Approximate first-order and second-order directional derivatives of a marginal function in convex optimization. Zbl 0556.90068
Hiriart-Urruty, J. B.
7
1986
Conditions necessaires d’optimalite pour un programme stochastique avec recours. Zbl 0382.62072
Hiriart-Urruty, J. B.
7
1978
Convexifying the set of matrices of bounded rank: applications to the quasiconvexification and convexification of the rank function. Zbl 1279.90162
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
7
2012
Best approximate solutions of inconsistent linear inequality systems. Zbl 1391.65096
Goberna, Miguel A.; Hiriart-Urruty, Jean-Baptiste; López, Marco A.
7
2018
The Clarke and Michel-Penot subdifferentials of the eigenvalues of a symmetric matrix. Zbl 1040.49500
Hiriart-Urruty, J.-B.; Lewis, A. S.
6
1999
From Eckart and Young approximation to Moreau envelopes and vice versa. Zbl 1326.15032
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
5
2013
Extension of Lipschitz integrands and minimization of nonconvex integral functionals applications to the optimal recourse problem in discrete time. Zbl 0526.90068
Hiriart-Urruty, J.-B.
5
1982
Règles de calcul sur le sous-différentiel second d’une fonction convexe. (Calculus rules for second differentials of convex functions). Zbl 0685.90075
Hiriart-Urruty, Jean-Baptiste; Seeger, Alberto
5
1987
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
5
1998
Algorithmes stochastiques de résolution d’équations et d’inéquations variationnelles. Zbl 0305.49040
Hiriart-Urruty, Jean-Baptiste
5
1975
The deconvolution operation in convex analysis: an introduction. Zbl 0867.49014
Hiriart-Urruty, J.-B.
5
1994
Optimization. (L’optimisation.) Zbl 0858.90120
Hiriart-Urruty, Jean-Baptiste
4
1996
Mathematical faits divers. Zbl 0575.01017
Hiriart-Urruty, J.-B.
4
1985
The approximate first-order and second-order directional derivatives for a convex function. Zbl 0514.90069
Hiriart-Urruty, J.-B.
4
1983
Existence et caractérisation de différentielles généralisées d’applications localement lipschitziennes d’une espace de Banach séparable dans un espace de Banach reflexif séparable. Zbl 0441.46035
Hiriart-Urruty, Jean-Baptiste; Thibault, Lionel
4
1980
Gradients généralises de fonctions composees. Applications. Zbl 0385.90095
Hiriart-Urruty, Jean-Baptiste
4
1977
Convex solutions of a functional equation arising in information theory. Zbl 1154.39025
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
4
2007
When only global optimization matters. Zbl 1275.90063
Hiriart-Urruty, Jean-Baptiste
4
2013
Conditions necessaires d’optimalite en programmation non différentiable. Zbl 0359.49009
Hiriart-Urruty, Jean-Baptiste
4
1976
Comments on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes. Zbl 1311.52012
Hiriart-Urruty, Jean-Baptiste
3
2013
Convex objects of constant width (in 2D) or constant breadth (in 3D): some old and new results. (Objets convexes de largeur constante (en 2D) ou d’épaisseur constante (en 3D): du neuf avec du vieux.) Zbl 1292.49018
Bayen, Terence; Hiriart-Urruty, Jean-Baptiste
3
2012
Convex analysis and optimization in the past 50 years: some snapshots. Zbl 1281.49001
Hiriart-Urruty, Jean-Baptiste
3
2014
Fermat days 85: Mathematics for optimization. (Toulouse, France, May 6- 10, 1985). Zbl 0595.00017
3
1986
Étude de quelques propriétés de la fonctionnelle moyenne et de l’inf- convolution continue en analyse convexe stochastique. Zbl 0316.90052
Hiriart-Urruty, Jean-Baptiste
3
1975
A characterization of essentially strictly convex functions on reflexive Banach spaces. Zbl 1244.46019
Volle, Michel; Hiriart-Urruty, Jean-Baptiste
3
2012
Pythagoras’ theorem for areas. Zbl 0990.51007
Quadrat, Jean-P.; Lasserre, Jean B.; Hiriart-Urruty, Jean-B.
3
2001
Mathematical tapas. Volume 2 (from undergraduate to graduate level). Zbl 1388.00010
Hiriart-Urruty, Jean-Baptiste
3
2017
Least squares solutions of linear inequality systems: a Pedestrian approach. Zbl 1387.90185
Contesse, Luis; Hiriart-Urruty, Jean-Baptiste; Penot, Jean-Paul
3
2017
Analysis of the second order sensibility of all eigenvalues of a symmetric matrix. (Analyse de la sensibilité du second ordre de toutes les valeurs propres d’une matrice symétrique.) Zbl 0876.15007
Hiriart-Urruty, Jean-Baptiste; Torki, Mounir
2
1997
A note on connected set-valued mappings. Zbl 0641.54018
Correa, R.; Hiriart-Urruty, J. B.; Penot, J.-P.
2
1986
The support functions of Clarke’s generalized Jacobian matrix and of its plenary hull. (Les fonctions d’appui de la jacobienne généralisée de Clarke et de son enveloppe plénière.) Zbl 0940.49017
Hiriart-Urruty, Jean-Baptiste; Imbert, Cyril
2
1998
What conditions are satisfied at points minimizing the maximum of a finite number of differentiable functions. Zbl 1050.90551
Hiriart-Urruty, J.-B.
2
1992
Conditions nécessaires et suffisantes d’optimalité globale an optimisation de différences de deux fonctions convexes. (Necessary and sufficient conditions for global optimality in optimizing differences of two convex functions). Zbl 0678.90078
Hiriart-Urruty, Jean-Baptiste
2
1989
A first order sufficient condition for optimality in nonsmooth optimization. Zbl 0695.90079
Correa, Rafaël; Hiriart-Urruty, Jean-Baptiste
2
1989
Optimisation stochastique: Méthodes de descente. Zbl 0324.93042
Hiriart-Urruty, J. B.
2
1976
When some variational properties force convexity. Zbl 1277.46042
Volle, M.; Hiriart-Urruty, J.-B.; Zălinescu, C.
2
2013
How to better do mathematics. Vol. 2. Optimal control for beginners. (Les mathématiques du mieux faire. Vol. 2. La commande optimale pour les débutants.) Zbl 1190.49001
Hiriart-Urruty, Jean-Baptiste
2
2008
Feasibility in finite time. Zbl 1203.49012
Flåm, S. D.; Hiriart-Urruty, J.-B.; Jourani, A.
2
2009
From the differential calculus to the variational calculus. A survey of the development from P. Fermat to our days. (Du calcul différentiel au calcul variationnel: un aperçu de l’évolution de P. Fermat à nos jours.) Zbl 1228.26002
Hiriart-Urruty, Jean-Baptiste
2
2008
Polytopal balls arising in optimization. Zbl 1494.52011
Deza, Antoine; Hiriart-Urruty, Jean-Baptiste; Pournin, Lionel
2
2021
Special issue: 100 years after Th.-J. Stieltjes. (Numéro spécial: 100 ans après Th.-J. Stieltjes.) Zbl 0866.00025
1
1996
General “squeeze theorems” in nonsmooth analysis. Zbl 0967.49010
Benoist, J.; Hiriart-Urruty, J.-B.
1
2000
Deforming \(\|.\|_1\) into \(\|.\|_{\infty}\) via polyhedral norms: a pedestrian approach. Zbl 1495.52010
Gaudioso, Manlio; Hiriart-Urruty, Jean-Baptiste
1
2022
On the generalized Jacobian of the inverse of a Lipschitzian mapping. Zbl 1521.47100
Fabian, M.; Hiriart-Urruty, J.-B.; Pauwels, E.
1
2022
Polytopal balls arising in optimization. Zbl 1494.52011
Deza, Antoine; Hiriart-Urruty, Jean-Baptiste; Pournin, Lionel
2
2021
Sensitivity of the “intermediate point” in the mean value theorem: an approach via the Legendre-Fenchel transformation. Zbl 1534.90169
Hiriart-Urruty, Jean-Baptiste
1
2021
Feature selection in SVM via polyhedral \(k\)-norm. Zbl 1433.90133
Gaudioso, Manlio; Gorgone, E.; Hiriart-Urruty, J.-B.
8
2020
Mean value theorems and convexity: an example of cross-fertilization of two mathematical items. Zbl 1456.26005
Hiriart-Urruty, Jean-Baptiste
1
2020
Best approximate solutions of inconsistent linear inequality systems. Zbl 1391.65096
Goberna, Miguel A.; Hiriart-Urruty, Jean-Baptiste; López, Marco A.
7
2018
Mathematical tapas. Volume 2 (from undergraduate to graduate level). Zbl 1388.00010
Hiriart-Urruty, Jean-Baptiste
3
2017
Least squares solutions of linear inequality systems: a Pedestrian approach. Zbl 1387.90185
Contesse, Luis; Hiriart-Urruty, Jean-Baptiste; Penot, Jean-Paul
3
2017
Some functions…not so particular: those of Lambert, Gudermann and Airy. (Des fonctions…pas si particulières que ça : celles de Lambert, Gudermann et Airy.) Zbl 1365.33007
Hiriart-Urruty, Jean-Baptiste
1
2016
Mathematical tapas. Volume 1 (for undergraduates). Zbl 1375.00010
Hiriart-Urruty, Jean-Baptiste
1
2016
Advances in mathematical modeling, optimization and optimal control. Selected papers based on the presentations at the 16th French-German-Polish conference on optimization, Cracow, Poland, 2013. Zbl 1346.90007
1
2016
A characterization by optimization of the orthocenter of a triangle. Zbl 1404.51017
Hiriart-Urruty, Jean-Baptiste; Laurent, Pierre-Jean
1
2015
Convex analysis and optimization in the past 50 years: some snapshots. Zbl 1281.49001
Hiriart-Urruty, Jean-Baptiste
3
2014
The geometry of the triangle and convex optimization go together…. (La géométrie du triangle et l’optimisation convexe font bon ménage….) Zbl 1341.51026
Hiriart-Urruty, Jean-Baptiste
1
2014
Testing copositivity with the help of difference-of-convex optimization. Zbl 1290.90062
Dür, Mirjam; Hiriart-Urruty, Jean-Baptiste
11
2013
A variational approach of the rank function. Zbl 1269.49019
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
9
2013
From Eckart and Young approximation to Moreau envelopes and vice versa. Zbl 1326.15032
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
5
2013
When only global optimization matters. Zbl 1275.90063
Hiriart-Urruty, Jean-Baptiste
4
2013
Comments on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes. Zbl 1311.52012
Hiriart-Urruty, Jean-Baptiste
3
2013
When some variational properties force convexity. Zbl 1277.46042
Volle, M.; Hiriart-Urruty, J.-B.; Zălinescu, C.
2
2013
A fresh variational-analysis look at the positive semidefinite matrices world. Zbl 1254.90166
Hiriart-Urruty, Jean-Baptiste; Malick, Jérôme
12
2012
Bases, tools and principles for variational analysis. (Bases, outils et principes pour l’analyse variationnelle.) Zbl 1357.49002
Hiriart-Urruty, Jean-Baptiste
8
2012
Convexifying the set of matrices of bounded rank: applications to the quasiconvexification and convexification of the rank function. Zbl 1279.90162
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
7
2012
Convex objects of constant width (in 2D) or constant breadth (in 3D): some old and new results. (Objets convexes de largeur constante (en 2D) ou d’épaisseur constante (en 3D): du neuf avec du vieux.) Zbl 1292.49018
Bayen, Terence; Hiriart-Urruty, Jean-Baptiste
3
2012
A characterization of essentially strictly convex functions on reflexive Banach spaces. Zbl 1244.46019
Volle, Michel; Hiriart-Urruty, Jean-Baptiste
3
2012
The \(\varepsilon\)-strategy in variational analysis: illustration with the closed convexification of a function. Zbl 1229.90265
Hiriart-Urruty, Jean-Baptiste; López, Marco A.; Volle, Michel
8
2011
A variational approach to copositive matrices. Zbl 1207.15037
Hiriart-Urruty, J.-B.; Seeger, A.
84
2010
Variational analysis and optimisation. Course elements and solved exercises and problems. Bachelor 3 (L3), Master 1 (M1). (Analyse variationnelle et optimisation. Éléments de cours, exercices et problèmes corrigés. Licence 3 (L3), Master 1 (M1).) Zbl 1222.49001
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
1
2010
Reminiscences…and a little bit more. Zbl 1203.01021
Hiriart-Urruty, Jean-Baptiste
1
2010
A new series of conjectures and open questions in optimization and matrix analysis. Zbl 1179.15023
Hiriart-Urruty, Jean-Baptiste
10
2009
Feasibility in finite time. Zbl 1203.49012
Flåm, S. D.; Hiriart-Urruty, J.-B.; Jourani, A.
2
2009
An open global volume minimization problem. Zbl 1189.90124
Hiriart-Urruty, Jean-Baptiste
1
2009
How to better do mathematics. Vol. 2. Optimal control for beginners. (Les mathématiques du mieux faire. Vol. 2. La commande optimale pour les débutants.) Zbl 1190.49001
Hiriart-Urruty, Jean-Baptiste
2
2008
From the differential calculus to the variational calculus. A survey of the development from P. Fermat to our days. (Du calcul différentiel au calcul variationnel: un aperçu de l’évolution de P. Fermat à nos jours.) Zbl 1228.26002
Hiriart-Urruty, Jean-Baptiste
2
2008
Potpourri of conjectures and open questions in nonlinear analysis and optimization. Zbl 1120.15025
Hiriart-Urruty, Jean-Baptiste
32
2007
Convex solutions of a functional equation arising in information theory. Zbl 1154.39025
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
4
2007
The farthest point conjecture revisited. (La conjecture des points les plus éloignés revisitée.) Zbl 1129.46007
Hiriart-Urruty, Jean-Baptiste
11
2005
Conjugating the inverse of a concave function. Zbl 1078.49015
Hiriart-Urruty, J.-B.
1
2005
Special issue: Variational analysis, optimization, and their application. Dedicated to the life and work of R. Tyrrell Rockfellar on the occasion of his 70th birthday. Zbl 1078.90504
1
2005
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
14
2003
Permanently going back and forth between the “quadratic world” and the “convexity world” in optimization. Zbl 1004.52003
Hiriart-Urruty, J.-B.; Torki, M.
25
2002
Mathematical properties of optimization problems defined by positively homogeneous functions. Zbl 1049.90064
Lasserre, J. B.; Hiriart-Urruty, J. B.
9
2002
Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints. Zbl 1047.90066
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
8
2002
Boris Nicolaevich Pshenichnyi: Two examples of influence of his scientific works. Zbl 1033.90081
Hiriart-Urruty, J.-B.
1
2002
Fundamentals of convex analysis. Zbl 0998.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
435
2001
Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints. Zbl 1172.90501
Hiriart-Urruty, Jean-Baptiste
35
2001
Pythagoras’ theorem for areas. Zbl 0990.51007
Quadrat, Jean-P.; Lasserre, Jean B.; Hiriart-Urruty, Jean-B.
3
2001
Comparison of public-domain software for black box global optimization. Zbl 0963.90062
Mongeau, M.; Karsenty, H.; Rouzé, V.; Hiriart-Urruty, J.-B.
12
2000
General “squeeze theorems” in nonsmooth analysis. Zbl 0967.49010
Benoist, J.; Hiriart-Urruty, J.-B.
1
2000
The Clarke and Michel-Penot subdifferentials of the eigenvalues of a symmetric matrix. Zbl 1040.49500
Hiriart-Urruty, J.-B.; Lewis, A. S.
6
1999
Conditions for global optimality. II. Zbl 0922.90109
Hiriart-Urruty, Jean-Baptiste
32
1998
Optimisation and convex analysis. (Optimisation et analyse convexe.) Zbl 0892.49001
Hiriart-Urruty, Jean-Baptiste
12
1998
Chebyshev sets vs convex sets: the situation from the perspective of convex nonsmooth analysis. (Ensembles de Tchebychev vs. ensembles convexes: l’état de la situation vu via l’analyse convexe non lisse.) Zbl 1098.49506
Hiriart-Urruty, Jean-Baptiste
11
1998
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
5
1998
The support functions of Clarke’s generalized Jacobian matrix and of its plenary hull. (Les fonctions d’appui de la jacobienne généralisée de Clarke et de son enveloppe plénière.) Zbl 0940.49017
Hiriart-Urruty, Jean-Baptiste; Imbert, Cyril
2
1998
Analysis of the second order sensibility of all eigenvalues of a symmetric matrix. (Analyse de la sensibilité du second ordre de toutes les valeurs propres d’une matrice symétrique.) Zbl 0876.15007
Hiriart-Urruty, Jean-Baptiste; Torki, Mounir
2
1997
What is the subdifferential of the closed convex hull of a function? Zbl 0876.49018
Benoist, J.; Hiriart-Urruty, J.-B.
51
1996
A note on the characterization of the global maxima of a (tangentially) convex function over a convex set. Zbl 0877.49017
Hiriart-Urruty, J.-B.; Ledyaev, Yuri S.
17
1996
Optimization. (L’optimisation.) Zbl 0858.90120
Hiriart-Urruty, Jean-Baptiste
4
1996
Special issue: 100 years after Th.-J. Stieltjes. (Numéro spécial: 100 ans après Th.-J. Stieltjes.) Zbl 0866.00025
1
1996
Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey. Zbl 0846.49004
Hiriart-Urruty, J.-B.; Moussaoui, M.; Seeger, A.; Volle, M.
47
1995
Sensitivity analysis of all eigenvalues of a symmetric matrix. Zbl 0816.15016
Hiriart-Urruty, J.-B.; Ye, D.
46
1995
Conditions for global optimality. Zbl 0821.90102
Hiriart-Urruty, J.-B.
17
1995
The deconvolution operation in convex analysis: an introduction. Zbl 0867.49014
Hiriart-Urruty, J.-B.
5
1994
Convex analysis and minimization algorithms. Part 1: Fundamentals. Zbl 0795.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
800
1993
Convex analysis and minimization algorithms II: Advanced theory and bundle methods. Zbl 0795.49002
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
266
1993
Subdifferential calculus using \(\varepsilon\)-subdifferentials. Zbl 0791.49017
Hiriart-Urruty, J.-B.; Phelps, R. R.
48
1993
What conditions are satisfied at points minimizing the maximum of a finite number of differentiable functions. Zbl 1050.90551
Hiriart-Urruty, J.-B.
2
1992
How to regularize a difference of convex functions. Zbl 0807.46041
Hiriart-Urruty, J.-B.
16
1991
From convex optimization to nonconvex optimization. Necessary and sufficient conditions for global optimality. Zbl 0735.90056
Hiriart-Urruty, J.-B.
78
1989
Calculus rules on a new set-valued second order derivative for convex functions. Zbl 0705.26013
Hiriart-Urruty, J.-B.; Seeger, A.
19
1989
Moreau’s decomposition theorem revisited. Zbl 0675.90093
Hiriart-Urruty, J. B.; Plazanet, Ph.
12
1989
The second order subdifferential and the Dupin indicatrices of a nondifferentiable convex function. Zbl 0632.53009
Hiriart-Urruty, J.-B.; Seeger, A.
11
1989
Conditions nécessaires et suffisantes d’optimalité globale an optimisation de différences de deux fonctions convexes. (Necessary and sufficient conditions for global optimality in optimizing differences of two convex functions). Zbl 0678.90078
Hiriart-Urruty, Jean-Baptiste
2
1989
A first order sufficient condition for optimality in nonsmooth optimization. Zbl 0695.90079
Correa, Rafaël; Hiriart-Urruty, Jean-Baptiste
2
1989
Exercises d’algèbre linéaire et bilinéaire. Bac 2. (Exercises in linear and bilinear algebra). Zbl 0666.15001
Hiriart-Urruty, J.-B.; Plusquellec, Y.
1
1988
Règles de calcul sur le sous-différentiel second d’une fonction convexe. (Calculus rules for second differentials of convex functions). Zbl 0685.90075
Hiriart-Urruty, Jean-Baptiste; Seeger, Alberto
5
1987
A general formula on the conjugate of the difference of functions. Zbl 0608.90087
Hiriart-Urruty, J.-B.
27
1986
A new set-valued second order derivative for convex functions. Zbl 0619.26009
Hiriart-Urruty, J.-B.
15
1986
Formulations variationnelles de l’addition parallèle et de la soustraction parallèle d’opérateurs semi-définis positifs. (Variational formulations of the parallel addition and of the parallel subtraction of positive semi-definite operators). Zbl 0597.15008
Hiriart-Urruty, Jean-Baptiste; Mazure, Marie-Laurence
11
1986
The conjugate of the difference of convex functions. Zbl 0568.90076
Ellaia, R.; Hiriart-Urruty, J.-B.
10
1986
When is a point x satisfying \(\nabla f(x)=0\) a global minimum of f? Zbl 0603.49015
Hiriart-Urruty, J.-B.
8
1986
Approximate first-order and second-order directional derivatives of a marginal function in convex optimization. Zbl 0556.90068
Hiriart-Urruty, J. B.
7
1986
Fermat days 85: Mathematics for optimization. (Toulouse, France, May 6- 10, 1985). Zbl 0595.00017
3
1986
A note on connected set-valued mappings. Zbl 0641.54018
Correa, R.; Hiriart-Urruty, J. B.; Penot, J.-P.
2
1986
Generalized differentiability, duality and optimization for problems dealing with differences of convex functions. Zbl 0591.90073
Hiriart-Urruty, J.-B.
95
1985
Images of connected sets by semicontinuous multifunctions. Zbl 0578.54013
Hiriart-Urruty, J.-B.
29
1985
Miscellanies on nonsmooth analysis and optimization. Zbl 0587.49015
Hiriart-Urruty, J.-B.
10
1985
Mathematical faits divers. Zbl 0575.01017
Hiriart-Urruty, J.-B.
4
1985
A general formula on the conjugate of the difference of functions. Zbl 0558.49004
Hiriart-Urruty, J.-B.
1
1985
Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data. Zbl 0542.49011
Hiriart-Urruty, Jean-Baptiste; Strodiot, Jean-Jacques; Nguyen, V. Hien
174
1984
Calculus rules on the approximate second-order directional derivative of a convex function. Zbl 0557.90077
Hiriart-Urruty, J.-B.
15
1984
A short proof of the variational principle for approximate solutions of a minimization problem. Zbl 0516.49015
Hiriart-Urruty, J.-B.
10
1983
The approximate first-order and second-order directional derivatives for a convex function. Zbl 0514.90069
Hiriart-Urruty, J.-B.
4
1983
Limiting behaviour of the approximate first order and second order directional derivatives for a convex function. Zbl 0536.26007
Hiriart-Urruty, J.-B.
34
1982
Characterizations of the plenary hull of the generalized Jacobian matrix. Zbl 0532.26007
Hiriart-Urruty, J.-B.
17
1982
Approximating a second-order directional derivative for nonsmooth convex functions. Zbl 0507.49021
Hiriart-Urruty, J. B.
16
1982
Refinements of necessary optimality conditions in nondifferentiable programming. II. Zbl 0507.90082
Hiriart-Urruty, J.-B.
12
1982
At what points is the projection mapping differentiable? Zbl 0505.26004
Hiriart-Urruty, J.-B.
9
1982
...and 22 more Documents
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Cited by 3,033 Authors

42 Jeyakumar, Vaithilingam
40 Hiriart-Urruty, Jean-Baptiste
27 Volle, Michel
26 Seeger, Alberto
25 Li, Shengjie
25 López-Cerdá, Marco Antonio
24 Penot, Jean-Paul
23 Hantoute, Abderrahim
22 Thibault, Lionel
21 Gaudioso, Manlio
20 Correa, Rafael Augusto Couceiro
20 Ferreira, Orizon Pereira
20 Novo-Sanjurjo, Vicente
20 Yao, Jen-Chih
19 Jiménez, Bienvenido
18 Gadhi, Nazih Abderrazzak
18 Nam, Nguyen Mau
17 Thai Doan Chuong
16 Goberna, Miguel Angel
16 Jourani, Abderrahim
16 Malick, Jérôme
16 Martínez-Legaz, Juan-Enrique
16 Pang, Liping
16 Wang, Shawn Xianfu
16 Yang, Xiaoqi
15 Brogliato, Bernard
15 Mordukhovich, Boris S.
15 Sun, Defeng
14 Boţ, Radu Ioan
14 Le Thi, Hoai An
14 Lemaréchal, Claude
13 Li, Guoyin
12 Adly, Samir
12 Ginchev, Ivan G.
12 Lucet, Yves
12 Pham Dinh Tao
12 Qi, Liqun
12 Rocca, Matteo
12 Strekalovskiĭ, Aleksandr Sergeevich
12 Treanţă, Savin
12 Wanka, Gert
12 Xu, Yangdong
11 Bauschke, Heinz H.
11 Guerraggio, Angelo
11 Huang, Ming
11 Sagastizábal, Claudia A.
11 Théra, Michel A.
11 Yang, Xinmin
10 Chen, Chunrong
10 Darbon, Jerome
10 Dinh The Luc
10 Gorgone, Enrico
10 Gutiérrez, César
10 Lee, Gue Myung
10 Pastor, Karel
10 Pérez-Aros, Pedro
10 Roubi, Ahmed
10 Rubinov, Aleksandr Moiseevich
10 Truong Xuan Duc Ha
10 Wu, Zhiyou
9 Antczak, Tadeusz
9 Bagirov, Adil M.
9 de Oliveira, Welington Luis
9 Giallombardo, Giovanni
9 Hoheisel, Tim
9 Huy, Nguyen Quang
9 Nikodem, Kazimierz
9 Noll, Dominikus
9 Roshchina, Vera
9 Tammer, Christiane
9 Toh, Kim Chuan
9 Zagrodny, Dariusz
8 Ali, Bashir
8 Bomze, Immanuel M.
8 Borwein, Jonathan Michael
8 Burke, James V.
8 Durea, Marius
8 Flores-Bazán, Fabián
8 Hildebrand, Roland
8 Kanzi, Nader
8 Lara, Felipe
8 Larsson, Torbjörn
8 Mangasarian, Olvi L.
8 Miglionico, Giovanna
8 Mohebi, Hossein
8 Peng, Zaiyun
8 Reich, Simeon
8 Rockafellar, Ralph Tyrrell
8 Sendov, Hristo S.
8 Xia, Zunquan
8 Nguyen Dong Yen
8 Zhang, Kewei
7 Ansari, Qamrul Hasan
7 Argyros, Ioannis Konstantinos
7 Castellani, Marco
7 Chen, Jiawei
7 Crespi, Giovanni Paolo
7 Dempe, Stephan
7 Dickinson, Peter J. C.
7 Dolgopolik, Maxim Vladimirovich
...and 2,933 more Authors
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Cited in 400 Serials

247 Journal of Optimization Theory and Applications
148 Journal of Global Optimization
148 Mathematical Programming. Series A. Series B
146 Optimization
102 Journal of Mathematical Analysis and Applications
96 SIAM Journal on Optimization
71 Computational Optimization and Applications
70 Optimization Letters
63 Set-Valued and Variational Analysis
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
50 European Journal of Operational Research
43 Numerical Functional Analysis and Optimization
38 Nonlinear Analysis. Theory, Methods & Applications
34 Linear Algebra and its Applications
30 Journal of Convex Analysis
30 Optimization Methods & Software
27 Operations Research Letters
26 Mathematical Methods of Operations Research
24 Applied Mathematics and Optimization
23 Annals of Operations Research
22 Applied Mathematics and Computation
22 Transactions of the American Mathematical Society
21 Journal of Computational and Applied Mathematics
21 Positivity
18 Set-Valued Analysis
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Journal of Industrial and Management Optimization
16 Top
15 Automatica
14 Bulletin of the Australian Mathematical Society
14 Journal of Functional Analysis
14 Mathematics of Operations Research
14 Journal of Machine Learning Research (JMLR)
13 Applicable Analysis
13 Computers & Mathematics with Applications
13 Journal of Approximation Theory
12 Computer Methods in Applied Mechanics and Engineering
12 Journal of Scientific Computing
12 Numerical Algorithms
12 Journal of Nonlinear and Variational Analysis
11 Systems & Control Letters
11 Journal of Inequalities and Applications
10 Discrete Applied Mathematics
10 Mathematical Programming
10 Computers & Operations Research
10 Vietnam Journal of Mathematics
10 Optimization and Engineering
10 RAIRO. Operations Research
10 Mathematical Programming Computation
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 The Annals of Statistics
9 Proceedings of the American Mathematical Society
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Fixed Point Theory and Applications
9 SIAM Journal on Imaging Sciences
9 Journal of the Operations Research Society of China
8 Applied Mathematics Letters
8 SIAM Journal on Matrix Analysis and Applications
8 Aequationes Mathematicae
8 Journal of Mathematical Imaging and Vision
7 Advances in Mathematics
7 Journal of Differential Equations
7 Journal of Economic Theory
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 SIAM Journal on Control and Optimization
7 Bulletin of the Iranian Mathematical Society
7 Computational and Applied Mathematics
7 Numerical Algebra, Control and Optimization
6 Journal of Mathematical Economics
6 Applied Numerical Mathematics
6 Acta Mathematicae Applicatae Sinica. English Series
6 The Annals of Applied Probability
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 SIAM Journal on Scientific Computing
6 Calculus of Variations and Partial Differential Equations
6 Finance and Stochastics
6 Abstract and Applied Analysis
6 Journal of Applied Mathematics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Computational Management Science
5 Linear and Multilinear Algebra
5 Mathematics of Computation
5 Kybernetika
5 Mathematische Nachrichten
5 Numerische Mathematik
5 Journal of Information & Optimization Sciences
5 Journal of Complexity
5 Mathematical and Computer Modelling
5 Machine Learning
5 SIAM Journal on Mathematical Analysis
5 INFORMS Journal on Computing
5 Acta Mathematica Sinica. English Series
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 S\(\vec{\text{e}}\)MA Journal
5 EURO Journal on Computational Optimization
4 Acta Mathematica Vietnamica
4 The Annals of Probability
4 Journal of Statistical Planning and Inference
4 Opsearch
4 Probability Theory and Related Fields
...and 300 more Serials
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Cited in 57 Fields

1,777 Operations research, mathematical programming (90-XX)
961 Calculus of variations and optimal control; optimization (49-XX)
433 Numerical analysis (65-XX)
260 Real functions (26-XX)
204 Operator theory (47-XX)
168 Functional analysis (46-XX)
161 Convex and discrete geometry (52-XX)
124 Linear and multilinear algebra; matrix theory (15-XX)
112 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
102 Computer science (68-XX)
97 Statistics (62-XX)
95 Systems theory; control (93-XX)
86 Probability theory and stochastic processes (60-XX)
84 Partial differential equations (35-XX)
67 Global analysis, analysis on manifolds (58-XX)
51 Information and communication theory, circuits (94-XX)
47 Ordinary differential equations (34-XX)
45 Approximations and expansions (41-XX)
42 Mechanics of deformable solids (74-XX)
39 General topology (54-XX)
27 Measure and integration (28-XX)
25 Dynamical systems and ergodic theory (37-XX)
24 Differential geometry (53-XX)
23 Difference and functional equations (39-XX)
20 Mechanics of particles and systems (70-XX)
16 Biology and other natural sciences (92-XX)
14 Combinatorics (05-XX)
12 Geometry (51-XX)
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10 Fluid mechanics (76-XX)
7 History and biography (01-XX)
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7 Integral transforms, operational calculus (44-XX)
7 Optics, electromagnetic theory (78-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Several complex variables and analytic spaces (32-XX)
5 General and overarching topics; collections (00-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Quantum theory (81-XX)
4 Integral equations (45-XX)
3 Mathematical logic and foundations (03-XX)
3 Number theory (11-XX)
3 Associative rings and algebras (16-XX)
3 Topological groups, Lie groups (22-XX)
3 Functions of a complex variable (30-XX)
3 Sequences, series, summability (40-XX)
2 Group theory and generalizations (20-XX)
2 Special functions (33-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Abstract harmonic analysis (43-XX)

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