Hiriart-Urruty, Jean-Baptiste

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 Author ID: 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
 Documents Indexed: 137 Publications since 1975, including 13 Books 9 Contributions as Editor Reviewing Activity: 10 Reviews Co-Authors: 61 Co-Authors with 63 Joint Publications 1,570 Co-Co-Authors
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Co-Authors

 83 single-authored 6 Seeger, Alberto 5 Lemaréchal, Claude 4 Le, Hai Yen 4 Volle, Michel 3 Benoist, Joël 3 Ledyaev, Yuri Semenovich 3 Ye, Dongyi 2 Azé, Dominique 2 Clarke, Francis H. 2 Correa, Rafael 2 Lasserre, Jean-Bernard 2 Laurent, Pierre-Jean 2 López-Cerdá, Marco Antonio 2 Martínez-Legaz, Juan-Enrique 2 Penot, Jean-Paul 2 Torki, Mounir 1 Adly, Samir 1 Bayen, Térence 1 Benbourhim, Mohammed-Najib 1 Chenin, Patrick 1 Combettes, Patrick L. 1 Contesse, Luis 1 de Lara, Michel 1 Deza, Antoine 1 Dür, Mirjam 1 Ellaia, Rachid 1 Flåm, Sjur Didrik 1 Gaudioso, Manlio 1 Goberna, Miguel Angel 1 Gorgone, Enrico 1 Hadjisavvas, Nicolas 1 Hassouni, Abdelhak 1 Hoffmann, Karl-Heinz 1 Imbert, Cyril 1 Karsenty, H. 1 Korytowski, Adam 1 Lassere, Patrice 1 Lewis, Adrian S. 1 Malick, Jérôme 1 Maurer, Helmut 1 Mazure, Marie-Laurence 1 Mongeau, Marcel 1 Mordukhovich, Boris S. 1 Moussaoui, Mohammed Amine 1 Nguyen, Van Hien 1 Oettli, Werner 1 Phelps, Robert Ralph 1 Plazanet, Philippe 1 Plusquellec, Yves 1 Pournin, Lionel 1 Quadrat, Jean-Pierre 1 Rouzé, V. 1 Stoer, Josef 1 Strodiot, Jean-Jacques 1 Sun, Jie 1 Szymkat, Maciej 1 Théra, Michel A. 1 Thibault, Lionel 1 Wets, Roger Jean-Baptiste 1 Zălinescu, Constantin 1 Zowe, Jochem
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Serials

 10 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 8 Comptes Rendus de l’Académie des Sciences. Série I 7 Quadrature 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 Mathematical Programming. Series A. Series B 3 Optimization Letters 2 Mathematical Programming Study 2 Elemente der Mathematik 2 SIAM Review 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 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 Set-Valued and Variational Analysis 1 Springer Optimization and Its Applications
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Fields

 86 Operations research, mathematical programming (90-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 38 Real functions (26-XX) 19 Functional analysis (46-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 16 General and overarching topics; collections (00-XX) 16 Convex and discrete geometry (52-XX) 13 Numerical analysis (65-XX) 7 Systems theory; control (93-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Mathematics education (97-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 3 Approximations and expansions (41-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX)

Citations contained in zbMATH Open

110 Publications have been cited 2,393 times in 1,908 Documents Cited by Year
Convex analysis and minimization algorithms. Part 1: Fundamentals. Zbl 0795.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
1993
Fundamentals of convex analysis. Zbl 0998.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
2001
Tangent cones, generalized gradients and mathematical programming in Banach spaces. Zbl 0409.90086
Hiriart-Urruty, J. B.
1979
Convex analysis and minimization algorithms II: Advanced theory and bundle methods. Zbl 0795.49002
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
1993
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
1984
New concepts in nondifferentiable programming. Zbl 0469.90071
Hiriart-Urruty, J-B.
1979
On optimality conditions in nondifferentiable programming. Zbl 0373.90071
Hiriart-Urruty, J. B.
1978
A variational approach to copositive matrices. Zbl 1207.15037
Hiriart-Urruty, J.-B.; Seeger, A.
2010
From convex optimization to nonconvex optimization. Necessary and sufficient conditions for global optimality. Zbl 0735.90056
Hiriart-Urruty, J.-B.
1989
Generalized differentiability, duality and optimization for problems dealing with differences of convex functions. Zbl 0591.90073
Hiriart-Urruty, J.-B.
1985
Lipschitz r-continuity of the approximate subdifferential of a convex function. Zbl 0426.26005
Hiriart-Urruty, J.-B.
1980
Subdifferential calculus using $$\varepsilon$$-subdifferentials. Zbl 0791.49017
Hiriart-Urruty, J.-B.; Phelps, R. R.
1993
What is the subdifferential of the closed convex hull of a function? Zbl 0876.49018
Benoist, J.; Hiriart-Urruty, J.-B.
1996
Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey. Zbl 0846.49004
Hiriart-Urruty, J.-B.; Moussaoui, M.; Seeger, A.; Volle, M.
1995
Sensitivity analysis of all eigenvalues of a symmetric matrix. Zbl 0816.15016
Hiriart-Urruty, J.-B.; Ye, D.
1995
Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints. Zbl 1172.90501
Hiriart-Urruty, Jean-Baptiste
2001
Refinements of necessary optimality conditions in nondifferentiable programming. I. Zbl 0389.90088
Hiriart-Urruty, J.-B.
1979
Limiting behaviour of the approximate first order and second order directional derivatives for a convex function. Zbl 0536.26007
Hiriart-Urruty, J.-B.
1982
Conditions for global optimality. II. Zbl 0922.90109
Hiriart-Urruty, Jean-Baptiste
1998
A general formula on the conjugate of the difference of functions. Zbl 0608.90087
Hiriart-Urruty, J.-B.
1986
Extension of Lipschitz functions. Zbl 0455.26006
Hiriart-Urruty, J.-B.
1980
Images of connected sets by semicontinuous multifunctions. Zbl 0578.54013
Hiriart-Urruty, J.-B.
1985
Permanently going back and forth between the “quadratic world” and the “convexity world” in optimization. Zbl 1004.52003
Hiriart-Urruty, J.-B.; Torki, M.
2002
Potpourri of conjectures and open questions in nonlinear analysis and optimization. Zbl 1120.15025
Hiriart-Urruty, Jean-Baptiste
2007
Gradients généralises de fonctions marginales. Zbl 0385.90099
Hiriart-Urruty, J. B.
1978
Calculus rules on a new set-valued second order derivative for convex functions. Zbl 0705.26013
Hiriart-Urruty, J.-B.; Seeger, A.
1989
Mean value theorems in nonsmooth analysis. Zbl 0462.49032
Hiriart-Urruty, J.-B.
1980
Conditions for global optimality. Zbl 0821.90102
Hiriart-Urruty, J.-B.
1995
Characterizations of the plenary hull of the generalized Jacobian matrix. Zbl 0532.26007
Hiriart-Urruty, J.-B.
1982
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.
1996
How to regularize a difference of convex functions. Zbl 0807.46041
Hiriart-Urruty, J.-B.
1991
Approximating a second-order directional derivative for nonsmooth convex functions. Zbl 0507.49021
Hiriart-Urruty, J. B.
1982
A new set-valued second order derivative for convex functions. Zbl 0619.26009
Hiriart-Urruty, J.-B.
1986
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
2003
Calculus rules on the approximate second-order directional derivative of a convex function. Zbl 0557.90077
Hiriart-Urruty, J.-B.
1984
Comparison of public-domain software for black box global optimization. Zbl 0963.90062
Mongeau, M.; Karsenty, H.; Rouzé, V.; Hiriart-Urruty, J.-B.
2000
Refinements of necessary optimality conditions in nondifferentiable programming. II. Zbl 0507.90082
Hiriart-Urruty, J.-B.
1982
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
1986
A fresh variational-analysis look at the positive semidefinite matrices world. Zbl 1254.90166
Hiriart-Urruty, Jean-Baptiste; Malick, Jérôme
2012
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
1998
The farthest point conjecture revisited. (La conjecture des points les plus éloignés revisitée.) Zbl 1129.46007
Hiriart-Urruty, Jean-Baptiste
2005
The conjugate of the difference of convex functions. Zbl 0568.90076
Ellaia, R.; Hiriart-Urruty, J.-B.
1986
The second order subdifferential and the Dupin indicatrices of a nondifferentiable convex function. Zbl 0632.53009
Hiriart-Urruty, J.-B.; Seeger, A.
1989
Moreau’s decomposition theorem revisited. Zbl 0675.90093
Hiriart-Urruty, J. B.; Plazanet, Ph.
1989
Mathematical properties of optimization problems defined by positively homogeneous functions. Zbl 1049.90064
Lasserre, J. B.; Hiriart-Urruty, J. B.
2002
Optimisation and convex analysis. (Optimisation et analyse convexe.) Zbl 0892.49001
Hiriart-Urruty, Jean-Baptiste
1998
A short proof of the variational principle for approximate solutions of a minimization problem. Zbl 0516.49015
Hiriart-Urruty, J.-B.
1983
When is a point x satisfying $$\nabla f(x)=0$$ a global minimum of f? Zbl 0603.49015
Hiriart-Urruty, J.-B.
1986
Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints. Zbl 1047.90066
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
2002
A note on the mean value theorem for convex functions. Zbl 0446.26006
Hiriart-Urruty, J.-B.
1980
Miscellanies on nonsmooth analysis and optimization. Zbl 0587.49015
Hiriart-Urruty, J.-B.
1985
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
2011
At what points is the projection mapping differentiable? Zbl 0505.26004
Hiriart-Urruty, J.-B.
1982
Approximate first-order and second-order directional derivatives of a marginal function in convex optimization. Zbl 0556.90068
Hiriart-Urruty, J. B.
1986
Bases, tools and principles for variational analysis. (Bases, outils et principes pour l’analyse variationnelle.) Zbl 1357.49002
Hiriart-Urruty, Jean-Baptiste
2012
The Clarke and Michel-Penot subdifferentials of the eigenvalues of a symmetric matrix. Zbl 1040.49500
Hiriart-Urruty, J.-B.; Lewis, A. S.
1999
Conditions necessaires d’optimalite pour un programme stochastique avec recours. Zbl 0382.62072
Hiriart-Urruty, J. B.
1978
A new series of conjectures and open questions in optimization and matrix analysis. Zbl 1179.15023
Hiriart-Urruty, Jean-Baptiste
2009
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.
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
1987
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
1998
The deconvolution operation in convex analysis: an introduction. Zbl 0867.49014
Hiriart-Urruty, J.-B.
1994
A variational approach of the rank function. Zbl 1269.49019
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
2013
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
2012
Algorithmes stochastiques de résolution d’équations et d’inéquations variationnelles. Zbl 0305.49040
Hiriart-Urruty, Jean-Baptiste
1975
Testing copositivity with the help of difference-of-convex optimization. Zbl 1290.90062
Dür, Mirjam; Hiriart-Urruty, Jean-Baptiste
2013
Best approximate solutions of inconsistent linear inequality systems. Zbl 1391.65096
Goberna, Miguel A.; Hiriart-Urruty, Jean-Baptiste; López, Marco A.
2018
Conditions necessaires d’optimalite en programmation non différentiable. Zbl 0359.49009
Hiriart-Urruty, Jean-Baptiste
1976
Gradients généralises de fonctions composees. Applications. Zbl 0385.90095
Hiriart-Urruty, Jean-Baptiste
1977
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
1980
When only global optimization matters. Zbl 1275.90063
Hiriart-Urruty, Jean-Baptiste
2013
From Eckart and Young approximation to Moreau envelopes and vice versa. Zbl 1326.15032
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
2013
Mathematical faits divers. Zbl 0575.01017
Hiriart-Urruty, J.-B.
1985
Pythagoras’ theorem for areas. Zbl 0990.51007
Quadrat, Jean-P.; Lasserre, Jean B.; Hiriart-Urruty, Jean-B.
2001
Feature selection in SVM via polyhedral $$k$$-norm. Zbl 1433.90133
Gaudioso, Manlio; Gorgone, E.; Hiriart-Urruty, J.-B.
2020
The approximate first-order and second-order directional derivatives for a convex function. Zbl 0514.90069
Hiriart-Urruty, J.-B.
1983
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
1975
Convex solutions of a functional equation arising in information theory. Zbl 1154.39025
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
2007
Fermat days 85: Mathematics for optimization. (Toulouse, France, May 6- 10, 1985). Zbl 0595.00017
1986
A note on connected set-valued mappings. Zbl 0641.54018
Correa, R.; Hiriart-Urruty, J. B.; Penot, J.-P.
1986
Convex analysis and optimization in the past 50 years: some snapshots. Zbl 1281.49001
Hiriart-Urruty, Jean-Baptiste
2014
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
2012
Optimization. (L’optimisation.) Zbl 0858.90120
Hiriart-Urruty, Jean-Baptiste
1996
Feasibility in finite time. Zbl 1203.49012
Flåm, S. D.; Hiriart-Urruty, J.-B.; Jourani, A.
2009
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
1989
A first order sufficient condition for optimality in nonsmooth optimization. Zbl 0695.90079
Correa, Rafaël; Hiriart-Urruty, Jean-Baptiste
1989
What conditions are satisfied at points minimizing the maximum of a finite number of differentiable functions. Zbl 1050.90551
Hiriart-Urruty, J.-B.
1992
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
1998
A characterization of essentially strictly convex functions on reflexive Banach spaces. Zbl 1244.46019
Volle, Michel; Hiriart-Urruty, Jean-Baptiste
2012
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
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
2008
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
1997
Least squares solutions of linear inequality systems: a Pedestrian approach. Zbl 1387.90185
Contesse, Luis; Hiriart-Urruty, Jean-Baptiste; Penot, Jean-Paul
2017
Optimisation stochastique: Méthodes de descente. Zbl 0324.93042
Hiriart-Urruty, J. B.
1976
Comments on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes. Zbl 1311.52012
Hiriart-Urruty, Jean-Baptiste
2013
Exercises d’algèbre linéaire et bilinéaire. Bac 2. (Exercises in linear and bilinear algebra). Zbl 0666.15001
Hiriart-Urruty, J.-B.; Plusquellec, Y.
1988
A better insight into the generalized gradient of the absolute value of a function. Zbl 0532.26006
Hiriart-Urruty, J.-B.
1981
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
2005
General “squeeze theorems” in nonsmooth analysis. Zbl 0967.49010
Benoist, J.; Hiriart-Urruty, J.-B.
2000
Special issue: 100 years after Th.-J. Stieltjes. (Numéro spécial: 100 ans après Th.-J. Stieltjes.) Zbl 0866.00025
1996
Feature selection in SVM via polyhedral $$k$$-norm. Zbl 1433.90133
Gaudioso, Manlio; Gorgone, E.; Hiriart-Urruty, J.-B.
2020
Best approximate solutions of inconsistent linear inequality systems. Zbl 1391.65096
Goberna, Miguel A.; Hiriart-Urruty, Jean-Baptiste; López, Marco A.
2018
Least squares solutions of linear inequality systems: a Pedestrian approach. Zbl 1387.90185
Contesse, Luis; Hiriart-Urruty, Jean-Baptiste; Penot, Jean-Paul
2017
Hiriart-Urruty, Jean-Baptiste
2017
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
2016
A characterization by optimization of the orthocenter of a triangle. Zbl 1404.51017
Hiriart-Urruty, Jean-Baptiste; Laurent, Pierre-Jean
2015
Convex analysis and optimization in the past 50 years: some snapshots. Zbl 1281.49001
Hiriart-Urruty, Jean-Baptiste
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
2014
A variational approach of the rank function. Zbl 1269.49019
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
2013
Testing copositivity with the help of difference-of-convex optimization. Zbl 1290.90062
Dür, Mirjam; Hiriart-Urruty, Jean-Baptiste
2013
When only global optimization matters. Zbl 1275.90063
Hiriart-Urruty, Jean-Baptiste
2013
From Eckart and Young approximation to Moreau envelopes and vice versa. Zbl 1326.15032
Hiriart-Urruty, Jean-Baptiste; Le, Hai Yen
2013
Comments on: Recent progress on the combinatorial diameter of polytopes and simplicial complexes. Zbl 1311.52012
Hiriart-Urruty, Jean-Baptiste
2013
A fresh variational-analysis look at the positive semidefinite matrices world. Zbl 1254.90166
Hiriart-Urruty, Jean-Baptiste; Malick, Jérôme
2012
Bases, tools and principles for variational analysis. (Bases, outils et principes pour l’analyse variationnelle.) Zbl 1357.49002
Hiriart-Urruty, Jean-Baptiste
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
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
2012
A characterization of essentially strictly convex functions on reflexive Banach spaces. Zbl 1244.46019
Volle, Michel; Hiriart-Urruty, Jean-Baptiste
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
2011
A variational approach to copositive matrices. Zbl 1207.15037
Hiriart-Urruty, J.-B.; Seeger, A.
2010
A new series of conjectures and open questions in optimization and matrix analysis. Zbl 1179.15023
Hiriart-Urruty, Jean-Baptiste
2009
Feasibility in finite time. Zbl 1203.49012
Flåm, S. D.; Hiriart-Urruty, J.-B.; Jourani, A.
2009
An open global volume minimization problem. Zbl 1189.90124
Hiriart-Urruty, Jean-Baptiste
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
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
2008
Potpourri of conjectures and open questions in nonlinear analysis and optimization. Zbl 1120.15025
Hiriart-Urruty, Jean-Baptiste
2007
Convex solutions of a functional equation arising in information theory. Zbl 1154.39025
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
2007
The farthest point conjecture revisited. (La conjecture des points les plus éloignés revisitée.) Zbl 1129.46007
Hiriart-Urruty, Jean-Baptiste
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
2005
Conjugating the inverse of a concave function. Zbl 1078.49015
Hiriart-Urruty, J.-B.
2005
New formulas for the Legendre-Fenchel transform. Zbl 1052.49020
Hiriart-Urruty, J.-B.; Martínez-Legaz, J.-E.
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.
2002
Mathematical properties of optimization problems defined by positively homogeneous functions. Zbl 1049.90064
Lasserre, J. B.; Hiriart-Urruty, J. B.
2002
Optimal Hoffman-type estimates in eigenvalue and semidefinite inequality constraints. Zbl 1047.90066
Azé, Dominique; Hiriart-Urruty, Jean-Baptiste
2002
Fundamentals of convex analysis. Zbl 0998.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
2001
Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints. Zbl 1172.90501
Hiriart-Urruty, Jean-Baptiste
2001
Pythagoras’ theorem for areas. Zbl 0990.51007
Quadrat, Jean-P.; Lasserre, Jean B.; Hiriart-Urruty, Jean-B.
2001
Comparison of public-domain software for black box global optimization. Zbl 0963.90062
Mongeau, M.; Karsenty, H.; Rouzé, V.; Hiriart-Urruty, J.-B.
2000
General “squeeze theorems” in nonsmooth analysis. Zbl 0967.49010
Benoist, J.; Hiriart-Urruty, J.-B.
2000
The Clarke and Michel-Penot subdifferentials of the eigenvalues of a symmetric matrix. Zbl 1040.49500
Hiriart-Urruty, J.-B.; Lewis, A. S.
1999
Conditions for global optimality. II. Zbl 0922.90109
Hiriart-Urruty, Jean-Baptiste
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
1998
Optimisation and convex analysis. (Optimisation et analyse convexe.) Zbl 0892.49001
Hiriart-Urruty, Jean-Baptiste
1998
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
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
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
1997
What is the subdifferential of the closed convex hull of a function? Zbl 0876.49018
Benoist, J.; Hiriart-Urruty, J.-B.
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.
1996
Optimization. (L’optimisation.) Zbl 0858.90120
Hiriart-Urruty, Jean-Baptiste
1996
Special issue: 100 years after Th.-J. Stieltjes. (Numéro spécial: 100 ans après Th.-J. Stieltjes.) Zbl 0866.00025
1996
Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey. Zbl 0846.49004
Hiriart-Urruty, J.-B.; Moussaoui, M.; Seeger, A.; Volle, M.
1995
Sensitivity analysis of all eigenvalues of a symmetric matrix. Zbl 0816.15016
Hiriart-Urruty, J.-B.; Ye, D.
1995
Conditions for global optimality. Zbl 0821.90102
Hiriart-Urruty, J.-B.
1995
The deconvolution operation in convex analysis: an introduction. Zbl 0867.49014
Hiriart-Urruty, J.-B.
1994
Convex analysis and minimization algorithms. Part 1: Fundamentals. Zbl 0795.49001
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
1993
Convex analysis and minimization algorithms II: Advanced theory and bundle methods. Zbl 0795.49002
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude
1993
Subdifferential calculus using $$\varepsilon$$-subdifferentials. Zbl 0791.49017
Hiriart-Urruty, J.-B.; Phelps, R. R.
1993
What conditions are satisfied at points minimizing the maximum of a finite number of differentiable functions. Zbl 1050.90551
Hiriart-Urruty, J.-B.
1992
How to regularize a difference of convex functions. Zbl 0807.46041
Hiriart-Urruty, J.-B.
1991
From convex optimization to nonconvex optimization. Necessary and sufficient conditions for global optimality. Zbl 0735.90056
Hiriart-Urruty, J.-B.
1989
Calculus rules on a new set-valued second order derivative for convex functions. Zbl 0705.26013
Hiriart-Urruty, J.-B.; Seeger, A.
1989
The second order subdifferential and the Dupin indicatrices of a nondifferentiable convex function. Zbl 0632.53009
Hiriart-Urruty, J.-B.; Seeger, A.
1989
Moreau’s decomposition theorem revisited. Zbl 0675.90093
Hiriart-Urruty, J. B.; Plazanet, Ph.
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
1989
A first order sufficient condition for optimality in nonsmooth optimization. Zbl 0695.90079
Correa, Rafaël; Hiriart-Urruty, Jean-Baptiste
1989
Exercises d’algèbre linéaire et bilinéaire. Bac 2. (Exercises in linear and bilinear algebra). Zbl 0666.15001
Hiriart-Urruty, J.-B.; Plusquellec, Y.
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
1987
A general formula on the conjugate of the difference of functions. Zbl 0608.90087
Hiriart-Urruty, J.-B.
1986
A new set-valued second order derivative for convex functions. Zbl 0619.26009
Hiriart-Urruty, J.-B.
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
1986
The conjugate of the difference of convex functions. Zbl 0568.90076
Ellaia, R.; Hiriart-Urruty, J.-B.
1986
When is a point x satisfying $$\nabla f(x)=0$$ a global minimum of f? Zbl 0603.49015
Hiriart-Urruty, J.-B.
1986
Approximate first-order and second-order directional derivatives of a marginal function in convex optimization. Zbl 0556.90068
Hiriart-Urruty, J. B.
1986
Fermat days 85: Mathematics for optimization. (Toulouse, France, May 6- 10, 1985). Zbl 0595.00017
1986
A note on connected set-valued mappings. Zbl 0641.54018
Correa, R.; Hiriart-Urruty, J. B.; Penot, J.-P.
1986
Generalized differentiability, duality and optimization for problems dealing with differences of convex functions. Zbl 0591.90073
Hiriart-Urruty, J.-B.
1985
Images of connected sets by semicontinuous multifunctions. Zbl 0578.54013
Hiriart-Urruty, J.-B.
1985
Miscellanies on nonsmooth analysis and optimization. Zbl 0587.49015
Hiriart-Urruty, J.-B.
1985
Mathematical faits divers. Zbl 0575.01017
Hiriart-Urruty, J.-B.
1985
A general formula on the conjugate of the difference of functions. Zbl 0558.49004
Hiriart-Urruty, J.-B.
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
1984
Calculus rules on the approximate second-order directional derivative of a convex function. Zbl 0557.90077
Hiriart-Urruty, J.-B.
1984
A short proof of the variational principle for approximate solutions of a minimization problem. Zbl 0516.49015
Hiriart-Urruty, J.-B.
1983
The approximate first-order and second-order directional derivatives for a convex function. Zbl 0514.90069
Hiriart-Urruty, J.-B.
1983
Limiting behaviour of the approximate first order and second order directional derivatives for a convex function. Zbl 0536.26007
Hiriart-Urruty, J.-B.
1982
Characterizations of the plenary hull of the generalized Jacobian matrix. Zbl 0532.26007
Hiriart-Urruty, J.-B.
1982
Approximating a second-order directional derivative for nonsmooth convex functions. Zbl 0507.49021
Hiriart-Urruty, J. B.
1982
Refinements of necessary optimality conditions in nondifferentiable programming. II. Zbl 0507.90082
Hiriart-Urruty, J.-B.
1982
At what points is the projection mapping differentiable? Zbl 0505.26004
Hiriart-Urruty, J.-B.
1982
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.
1982
A better insight into the generalized gradient of the absolute value of a function. Zbl 0532.26006
Hiriart-Urruty, J.-B.
1981
Lipschitz r-continuity of the approximate subdifferential of a convex function. Zbl 0426.26005
Hiriart-Urruty, J.-B.
1980
Extension of Lipschitz functions. Zbl 0455.26006
Hiriart-Urruty, J.-B.
1980
Mean value theorems in nonsmooth analysis. Zbl 0462.49032
Hiriart-Urruty, J.-B.
1980
A note on the mean value theorem for convex functions. Zbl 0446.26006
Hiriart-Urruty, J.-B.
1980
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
1980
Tangent cones, generalized gradients and mathematical programming in Banach spaces. Zbl 0409.90086
Hiriart-Urruty, J. B.
1979
New concepts in nondifferentiable programming. Zbl 0469.90071
Hiriart-Urruty, J-B.
1979
Refinements of necessary optimality conditions in nondifferentiable programming. I. Zbl 0389.90088
Hiriart-Urruty, J.-B.
1979
On optimality conditions in nondifferentiable programming. Zbl 0373.90071
Hiriart-Urruty, J. B.
1978
...and 10 more Documents
all top 5

Cited by 2,076 Authors

 36 Jeyakumar, Vaithilingam 35 Hiriart-Urruty, Jean-Baptiste 27 Volle, Michel 26 Seeger, Alberto 22 Penot, Jean-Paul 21 López-Cerdá, Marco Antonio 20 Thibault, Lionel 19 Hantoute, Abderrahim 18 Correa, Rafael 16 Novo-Sanjurjo, Vicente 15 Jiménez, Bienvenido 14 Boţ, Radu Ioan 14 Gadhi, Nazih Abderrazzak 14 Yang, Xiaoqi 14 Yao, Jen-Chih 13 Goberna, Miguel Angel 13 Lemaréchal, Claude 12 Chuong, Thai Doan 12 Pang, Liping 12 Rocca, Matteo 12 Sun, Defeng 11 Ginchev, Ivan G. 11 Guerraggio, Angelo 11 Li, Shengjie 11 Malick, Jérôme 11 Martínez-Legaz, Juan-Enrique 11 Wanka, Gert 10 Brogliato, Bernard 10 Ferreira, Orizon Pereira 10 Gaudioso, Manlio 10 Huang, Ming 10 Le Thi, Hoai An 10 Pastor, Karel 10 Pérez-Aros, Pedro 10 Pham Dinh Tao 10 Wu, Zhiyou 9 Chen, Chunrong 9 Dinh The Luc 9 Mordukhovich, Boris S. 9 Nam, Nguyen Mau 9 Qi, Liqun 9 Strekalovskiĭ, Aleksandr Sergeevich 9 Truong Xuan Duc Ha 9 Wang, Shawn Xianfu 9 Yang, Xinmin 8 Borwein, Jonathan Michael 8 Durea, Marius 8 Flores-Bazán, Fabián 8 Gorgone, Enrico 8 Mangasarian, Olvi L. 8 Nikodem, Kazimierz 8 Rubinov, Alexander M. 8 Théra, Michel A. 8 Toh, Kim Chuan 8 Zagrodny, Dariusz 7 Adly, Samir 7 Bauschke, Heinz H. 7 Castellani, Marco 7 Crespi, Giovanni Paolo 7 Dickinson, Peter J. C. 7 Gutiérrez, César 7 Hildebrand, Roland 7 Huy, Nguyen Quang 7 Jourani, Abderrahim 7 Kanzi, Nader 7 Li, Guoyin 7 Nguyen, Van Hien 7 Plastria, Frank 7 Reiland, Thomas W. 7 Rockafellar, Ralph Tyrrell 7 Sendov, Hristo S. 7 Song, Wen 7 Strodiot, Jean-Jacques 7 Xu, Yangdong 7 Zălinescu, Constantin 6 Azé, Dominique 6 Bagirov, Adil M. 6 Beer, Gerald Alan 6 Bomze, Immanuel M. 6 Burer, Samuel 6 Darbon, Jerome 6 Dür, Mirjam 6 Facchinei, Francisco 6 Gorokhovik, Valentin Vikent’evich 6 Ketabchi, Saeed 6 Lee, Gue Myung 6 Lucet, Yves 6 Mohebi, Hossein 6 Németh, Sándor Zoltán 6 Noll, Dominikus 6 Pham Huu Sach 6 Pourciau, Bruce H. 6 Roubi, Ahmed 6 Tammer, Christiane 6 Treanţă, Savin 6 Valkonen, Tuomo 6 Wei, Zhou 6 Xia, Zunquan 5 Amahroq, Tijani 5 Antczak, Tadeusz ...and 1,976 more Authors
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Cited in 311 Serials

 211 Journal of Optimization Theory and Applications 125 Mathematical Programming. Series A. Series B 119 Journal of Global Optimization 102 Optimization 83 Journal of Mathematical Analysis and Applications 56 Optimization Letters 46 Computational Optimization and Applications 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Set-Valued and Variational Analysis 38 Numerical Functional Analysis and Optimization 37 Nonlinear Analysis. Theory, Methods & Applications 29 European Journal of Operational Research 29 SIAM Journal on Optimization 27 Linear Algebra and its Applications 24 Applied Mathematics and Optimization 22 Transactions of the American Mathematical Society 22 Operations Research Letters 22 Mathematical Methods of Operations Research 19 Optimization Methods & Software 18 Set-Valued Analysis 16 Positivity 15 Top 14 Bulletin of the Australian Mathematical Society 14 Annals of Operations Research 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Applied Mathematics and Computation 11 Journal of Functional Analysis 11 Journal of Convex Analysis 10 Applicable Analysis 10 Automatica 10 Mathematical Programming 10 Numerical Algorithms 9 Journal of Approximation Theory 9 Journal of Computational and Applied Mathematics 9 Proceedings of the American Mathematical Society 9 Aequationes Mathematicae 9 Mathematical Programming Computation 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Vietnam Journal of Mathematics 7 Computers & Mathematics with Applications 7 Discrete Applied Mathematics 7 The Annals of Statistics 7 Journal of Mathematical Imaging and Vision 7 Journal of Inequalities and Applications 7 RAIRO. Operations Research 7 Journal of Industrial and Management Optimization 7 Journal of the Operations Research Society of China 6 Computer Methods in Applied Mechanics and Engineering 6 Systems & Control Letters 6 Journal of Scientific Computing 6 The Annals of Applied Probability 6 Computational and Applied Mathematics 6 Finance and Stochastics 6 Abstract and Applied Analysis 6 Optimization and Engineering 6 Numerical Algebra, Control and Optimization 5 Journal of Economic Theory 5 Kybernetika 5 Journal of Information & Optimization Sciences 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematics Letters 5 Machine Learning 5 Journal of Applied Mathematics 5 Journal of Machine Learning Research (JMLR) 5 Computational Management Science 4 Journal of Differential Equations 4 Journal of Mathematical Economics 4 Numerische Mathematik 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Bulletin of the Iranian Mathematical Society 4 International Journal of Computer Mathematics 4 Zeitschrift für Operations Research. Serie A: Theorie 4 Mathematical Problems in Engineering 4 Journal of Nonlinear and Variational Analysis 3 Linear and Multilinear Algebra 3 Mathematics of Computation 3 Acta Mathematica Vietnamica 3 Advances in Mathematics 3 Annals of the Institute of Statistical Mathematics 3 The Annals of Probability 3 Archiv der Mathematik 3 Journal of Soviet Mathematics 3 Journal of Statistical Planning and Inference 3 Mathematische Nachrichten 3 Mathematics of Operations Research 3 Siberian Mathematical Journal 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Probability Theory and Related Fields 3 Computers & Operations Research 3 Asia-Pacific Journal of Operational Research 3 Mathematical and Computer Modelling 3 SIAM Journal on Matrix Analysis and Applications 3 Applications of Mathematics 3 Automation and Remote Control 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Cybernetics and Systems Analysis 3 Calculus of Variations and Partial Differential Equations ...and 211 more Serials
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Cited in 53 Fields

 1,254 Operations research, mathematical programming (90-XX) 720 Calculus of variations and optimal control; optimization (49-XX) 254 Numerical analysis (65-XX) 191 Real functions (26-XX) 131 Functional analysis (46-XX) 107 Operator theory (47-XX) 107 Convex and discrete geometry (52-XX) 85 Linear and multilinear algebra; matrix theory (15-XX) 67 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Systems theory; control (93-XX) 59 Computer science (68-XX) 57 Probability theory and stochastic processes (60-XX) 56 Global analysis, analysis on manifolds (58-XX) 55 Statistics (62-XX) 44 Partial differential equations (35-XX) 36 Approximations and expansions (41-XX) 35 General topology (54-XX) 29 Ordinary differential equations (34-XX) 26 Mechanics of deformable solids (74-XX) 26 Information and communication theory, circuits (94-XX) 19 Measure and integration (28-XX) 18 Difference and functional equations (39-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Differential geometry (53-XX) 13 Mechanics of particles and systems (70-XX) 10 Combinatorics (05-XX) 8 Biology and other natural sciences (92-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic geometry (14-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Geometry (51-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Nonassociative rings and algebras (17-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mathematical logic and foundations (03-XX) 3 Topological groups, Lie groups (22-XX) 3 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Sequences, series, summability (40-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

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