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Rockafellar, Ralph Tyrrell

Author ID: rockafellar.ralph-tyrrell Recent zbMATH articles by "Rockafellar, Ralph Tyrrell"
Published as: Rockafellar, R. T.; Rockafellar, R. Tyrrell; Rockafellar, Ralph Tyrrell; Rockafellar, Tyrrell; Rockafellar, Terry; Rockafellar, R.; Rockafellar, Tyrrell R.; Rockafellar, Ralph T.; Rockafellar, R. Terry
Homepage: https://sites.math.washington.edu/~rtr/mypage.html
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Serials

15 Mathematical Programming. Series A. Series B
13 SIAM Journal on Control and Optimization
12 Transactions of the American Mathematical Society
10 SIAM Journal on Optimization
9 Mathematics of Operations Research
9 Pacific Journal of Mathematics
7 Journal of Nonlinear and Convex Analysis
6 Journal of Convex Analysis
5 Journal of Mathematical Analysis and Applications
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of Optimization Theory and Applications
4 Proceedings of the American Mathematical Society
4 Computational Optimization and Applications
4 Set-Valued Analysis
4 Vietnam Journal of Mathematics
3 Canadian Journal of Mathematics
3 Mathematical Programming Study
3 Set-Valued and Variational Analysis
2 Stochastics
2 Control and Cybernetics
2 Duke Mathematical Journal
2 Journal of Economic Theory
2 Mathematical Programming
2 Mathematica Scandinavica
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Annals of Operations Research
2 Mathematical Finance
2 Bulletin of the American Mathematical Society
2 SIAM Journal on Control
1 Advances in Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of Mathematical Economics
1 Mathematische Annalen
1 The Mathematics Student
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Quarterly of Applied Mathematics
1 Applied Stochastic Models and Data Analysis
1 Transportation Science
1 Journal of Global Optimization
1 European Journal of Operational Research
1 SIAM Review
1 Calculus of Variations and Partial Differential Equations
1 Economic Theory
1 Finance and Stochastics
1 Computational Management Science
1 Journal of Mathematics and Mechanics
1 Journal of the Society for Industrial & Applied Mathematics
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Grundlehren der Mathematischen Wissenschaften
1 Princeton Mathematical Series
1 Advances in Mechanics and Mathematics
1 Applied and Computational Mathematics
1 Matapli
1 Pure and Applied Functional Analysis
1 Springer Monographs in Mathematics
1 Springer Series in Operations Research and Financial Engineering
1 Research and Education in Mathematics

Publications by Year

Citations contained in zbMATH Open

219 Publications have been cited 23,323 times in 16,409 Documents Cited by Year
Convex analysis. Zbl 0193.18401
Rockafellar, R. Tyrrell
1970
Variational analysis. Zbl 0888.49001
Rockafellar, R. Tyrrell; Wets, Roger J.-B.
1998
Monotone operators and the proximal point algorithm. Zbl 0358.90053
Rockafellar, R. Tyrrell
1976
Convex analysis. Zbl 0932.90001
Rockafellar, R. Tyrrell
1997
Conjugate convex functions in nonlinear programming. Zbl 0229.90020
Rockafellar, R. T.
1970
On the maximality of sums of nonlinear monotone operators. Zbl 0222.47017
Rockafellar, R. T.
513
1970
Convex functions, monotone operators and variational inequalities. Zbl 0202.14303
Rockafellar, R. T.
511
1970
Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Zbl 0402.90076
Rockafellar, R. T.
469
1976
On the maximal monotonicity of subdifferential mappings. Zbl 0199.47101
Rockafellar, R. T.
386
1970
State constraints in convex control problems of Bolza. Zbl 0224.49003
Rockafellar, R. T.
367
1972
Conjugate duality and optimization. Zbl 0296.90036
Rockafellar, R. Tyrrell
348
1974
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
347
2009
Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067
Rockafellar, R. T.; Wets, Roger J.-B.
317
1991
Local differentiability of distance functions. Zbl 0960.49018
Poliquin, R. A.; Rockafellar, R. T.; Thibault, L.
230
2000
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
224
2014
Characterization of the subdifferentials of convex functions. Zbl 0145.15901
Rockafellar, R. T.
209
1966
Generalized directional derivatives and subgradients of nonconvex functions. Zbl 0447.49009
Rockafellar, R. T.
205
1980
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
177
2006
Integrals which are convex functionals. Zbl 0159.43804
Rockafellar, R. T.
174
1968
Integrals which are convex functionals. II. Zbl 0236.46031
Rockafellar, R. T.
159
1971
Network flows and monotropic optimization. Zbl 0596.90055
Rockafellar, R. T.
158
1984
Directionally Lipschitzian functions and subdifferential calculus. Zbl 0413.49015
Rockafellar, R. T.
156
1979
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
151
1996
On the subdifferentiability of convex functions. Zbl 0141.11801
Brøndsted, Arne; Rockafellar, R. T.
151
1965
The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Zbl 0462.90052
Rockafellar, R. T.
148
1981
Integral functionals, normal integrands and measurable selections. Zbl 0374.49001
Rockafellar, Tyrrell
147
1976
Augmented Lagrange multiplier functions and duality in nonconvex programming. Zbl 0257.90046
Rockafellar, R. Tyrrell
145
1974
The multiplier method of Hestenes and Powell applied to convex programming. Zbl 0254.90045
Rockafellar, R. T.
141
1973
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
140
1996
Lagrange multipliers and optimality. Zbl 0779.49024
Rockafellar, R. Tyrrell
137
1993
Clarke’s tangent cones and the boundaries of closed sets in \(\mathbb{R}^n\). Zbl 0443.26010
Rockafellar, R. T.
117
1979
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
116
2004
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
114
1997
A dual approach to solving nonlinear programming problems by unconstrained optimization. Zbl 0279.90035
Rockafellar, R. Tyrrell
111
1973
Convex functions and duality in optimization problems and dynamics. Zbl 0186.23901
Rockafellar, R. T.
109
1969
Duality and stability in extremum problems involving convex functions. Zbl 0154.44902
Rockafellar, R. T.
106
1967
Lipschitzian properties of multifunctions. Zbl 0573.54011
Rockafellar, R. Tyrrell
101
1985
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
96
2003
Local boundedness of nonlinear, monotone operators. Zbl 0175.45002
Rockafellar, R. T.
96
1969
Extension of Fenchel’s duality theorem for convex functions. Zbl 0138.09301
Rockafellar, R. T.
93
1966
First- and second-order epi-differentiability in nonlinear programming. Zbl 0655.49010
Rockafellar, R. T.
91
1988
Tilt stability of a local minimum. Zbl 0918.49016
Poliquin, R. A.; Rockafellar, R. T.
87
1998
Gradients of convex functions. Zbl 0181.41901
Asplund, E.; Rockafellar, R. T.
85
1969
Conjugate convex functions in optimal control and the calculus of variations. Zbl 0218.49004
Rockafellar, R. T.
84
1970
Measurable dependence of convex sets and functions on parameters. Zbl 0202.33804
Rockafellar, R. T.
83
1969
Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082
Rockafellar, R. T.
82
1989
Level sets and continuity of conjugate convex functions. Zbl 0145.15802
Rockafellar, R. T.
81
1966
Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022
Mordukhovich, B. S.; Rockafellar, R. T.
78
2012
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
73
1993
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
70
2006
Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate. Zbl 0333.90007
Rockafellar, R. Tyrrell
62
1976
Convex analysis. (Vypuklyi analiz.) Übersetzung aus dem Englischen von A. D. Ioffe und V. M. Tihomirov. Zbl 0251.90035
Rockafellar, R. Tyrrell
62
1973
Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives. Zbl 0698.90070
Rockafellar, R. Tyrrell
62
1989
Stability of locally optimal solutions. Zbl 0965.49018
Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T.
62
2000
Monotone processes of convex and concave type. Zbl 0189.19602
Rockafellar, R. Tyrrell
61
1967
Favorable classes of Lipschitz-continuous functions in subgradient optimization. Zbl 0511.26009
Rockafellar, R. Tyrrell
61
1982
Proximal subgradients, marginal values, and augmented Lagrangians in nonconvex optimization. Zbl 0492.90073
Rockafellar, R. T.
59
1981
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012
Rockafellar, R. Tyrrell
58
1996
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
58
2017
Extensions of subgradient calculus with applications to optimization. Zbl 0593.49013
Rockafellar, R. T.
57
1985
Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming. Zbl 0478.90060
Rockafellar, R. T.
54
1982
Existence theorems for general control problems of Bolza and Lagrange. Zbl 0319.49001
Rockafellar, Tyrrell R.
54
1975
Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075
King, Alan J.; Rockafellar, R. Tyrrell
53
1992
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
53
2009
Maximal monotone relations and the second derivatives of nonsmooth functions. Zbl 0581.49009
Rockafellar, R. T.
53
1985
Convex integral functionals and duality. Zbl 0326.49008
Rockafellar, R. T.
52
1974
Existence and duality theorems for convex problems of Bolza. Zbl 0255.49007
Rockafellar, R. T.
49
1971
Optimal control of unbounded differential inclusions. Zbl 0823.49016
Loewen, Philip D.; Rockafellar, R. T.
48
1994
A Lagrangian finite generation technique for solving linear-quadratic problems in stochastic programming. Zbl 0599.90090
Rockafellar, R. T.; Wets, R. J.-B.
48
1986
Saddle points of Hamiltonian systems in convex problems of Lagrange. Zbl 0248.49016
Rockafellar, R. T.
46
1973
Variational inequalities and economic equilibrium. Zbl 1276.91070
Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B.
44
2007
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
43
2019
The elementary vectors of a subspace of \(\mathbb R^n\). Zbl 0229.90019
Rockafellar, R. T.
43
1969
Convex integral functionals and duality. Zbl 0295.49006
Rockafellar, R. Tyrrell
43
1971
Directional differentiability of the optimal value function in a nonlinear programming problem. Zbl 0546.90088
Rockafellar, R. T.
43
1984
Characterizations of full stability in constrained optimization. Zbl 1284.49032
Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E.
41
2013
Monotone operators associated with saddle-functions and minimax problems. Zbl 0237.47030
Rockafellar, R. T.
40
1970
Generalized linear-quadratic problems of deterministic and stochastic optimal control in discrete time. Zbl 0714.49036
Rockafellar, R. T.; Wets, R. J.-B.
39
1990
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
37
1997
Conditional value-at-risk: optimization approach. Zbl 0989.91052
Uryasev, Stanislav; Rockafellar, R. Tyrrell
37
2001
Stochastic convex programming: Relatively complete recourse and induced feasibility. Zbl 0346.90058
Rockafellar, R. T.; Wets, R. J.-B.
36
1976
Linear-quadratic programming and optimal control. Zbl 0617.49010
Rockafellar, R. T.
36
1987
Computational schemes for large-scale problems in extended linear- quadratic programming. Zbl 0735.90050
Rockafellar, R. T.
35
1990
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
35
1994
On the interchange of subdifferentiation and conditional expectation for convex functionals. Zbl 0487.49006
Rockafellar, R. T.; Wets, R. J. B.
34
1982
Nonanticipativity and \(\mathcal L^1\)-martingales in stochastic optimization problems. Zbl 0377.90073
Rockafellar, R. T.; Wets, R. J.-B.
34
1976
Generalized second derivatives of convex functions and saddle functions. Zbl 0712.49011
Rockafellar, R. T.
33
1990
Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010
Poliquin, R. A.; Rockafellar, R. T.
32
1996
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
31
2015
Generalized Hamiltonian equations for convex problems of Lagrange. Zbl 0199.43002
Rockafellar, R. T.
30
1970
Some convex programs whose duals are linearly constrained. Zbl 0252.90046
Rockafellar, R. Tyrrell
30
1970
The optimal recourse problem in discrete time: \(L^1\)-multipliers for inequality constraints. Zbl 0397.90078
Rockafellar, R. T.; Wets, R. J-B.
29
1978
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
28
2010
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
27
1996
A general correspondence between dual minimax problems and convex programs. Zbl 0162.23103
Rockafellar, R. T.
27
1968
Convex functions on convex polytopes. Zbl 0246.26009
Gale, David; Klee, Victor; Rockafellar, R. T.
27
1968
Stochastic convex programming: basic duality. Zbl 0339.90048
Rockafellar, R. T.; Wets, R. J.-B.
27
1976
An internal variable theory of elastoplasticity based on the maximum plastic work inequality. Zbl 0693.73008
Eve, R. A.; Reddy, B. D.; Rockafellar, R. T.
27
1990
Saddle-points and convex analysis. Zbl 0242.90044
Rockafellar, Tyrrell
26
1971
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
25
1997
Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality. Zbl 1512.90239
Rockafellar, R. Tyrrell
14
2023
Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming. Zbl 07681257
Rockafellar, R. Tyrrell
6
2023
Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm. Zbl 07786403
Rockafellar, R. Tyrrell
1
2023
Advances in convergence and scope of the proximal point algorithm. Zbl 1481.65094
Rockafellar, R. Tyrrell
7
2021
Sensitivity analysis of maximally monotone inclusions via the proto-differentiability of the resolvent operator. Zbl 1473.49047
Adly, Samir; Rockafellar, R. Tyrrell
3
2021
Characterizing firm nonexpansiveness of prox mappings both locally and globally. Zbl 1490.46072
Rockafellar, R. Tyrrell
2
2021
Solving Lagrangian variational inequalities with applications to stochastic programming. Zbl 1445.90069
Rockafellar, R. Tyrrell; Sun, Jie
16
2020
Minimizing buffered probability of exceedance by progressive hedging. Zbl 1440.90036
Rockafellar, R. Tyrrell; Uryasev, Stan
5
2020
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
43
2019
Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007
Rockafellar, R. Tyrrell
11
2019
Variational convexity and the local monotonicity of subgradient mappings. Zbl 1428.49021
Rockafellar, R. Tyrrell
9
2019
Radius theorems for monotone mappings. Zbl 07115098
Dontchev, A. L.; Eberhard, A.; Rockafellar, R. T.
1
2019
Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027
Rockafellar, R. Tyrrell
11
2018
Superquantile/CVaR risk measures: second-order theory. Zbl 1391.91163
Rockafellar, R. Tyrrell; Royset, Johannes O.
9
2018
Variational analysis of Nash equilibrium. Zbl 1407.91022
Rockafellar, R. Tyrrell
3
2018
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
58
2017
General economic equilibrium with financial markets and retainability. Zbl 1405.91742
Jofré, A.; Rockafellar, R. T.; Wets, R. J-B.
9
2017
Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Zbl 1355.00026
4
2016
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
31
2015
Measures of residual risk with connections to regression, risk tracking, surrogate models, and ambiguity. Zbl 1316.91016
Rockafellar, R. Tyrrell; Royset, Johannes O.
16
2015
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
224
2014
Random variables, monotone relations, and convex analysis. Zbl 1330.60009
Rockafellar, R. T.; Royset, J. O.
19
2014
Superquantile regression with applications to buffered reliability, uncertainty quantification, and conditional value-at-risk. Zbl 1305.62175
Rockafellar, R. T.; Royset, J. O.; Miranda, S. I.
17
2014
Convex analysis and financial equilibrium. Zbl 1309.91086
Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B.
6
2014
Characterizations of full stability in constrained optimization. Zbl 1284.49032
Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E.
41
2013
Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047
Dontchev, A. L.; Rockafellar, R. T.
25
2013
An Euler-Newton continuation method for tracking solution trajectories of parametric variational inequalities. Zbl 1272.49012
Dontchev, A. L.; Krastanov, M. I.; Rockafellar, R. T.; Veliov, V. M.
9
2013
Applications of convex variational analysis to Nash equilibrium. Zbl 1440.49022
Rockafellar, R. T.
2
2013
Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022
Mordukhovich, B. S.; Rockafellar, R. T.
78
2012
Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021
Dontchev, Asen L.; Rockafellar, Ralph Tyrrell
6
2012
A time-embedded approach to economic equilibrium with incomplete financial markets. Zbl 1216.91041
Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B.
4
2011
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
28
2010
A calculus of prox-regularity. Zbl 1194.49049
Poliquin, R. A.; Rockafellar, R. T.
3
2010
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
347
2009
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
53
2009
Hamiltonian trajectories and saddle points in mathematical economics. Zbl 1235.91131
Rockafellar, R.
1
2009
Risk tuning with generalized linear regression. Zbl 1218.90158
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
21
2008
Local strong convexity and local Lipschitz continuity of the gradient of convex functions. Zbl 1149.26022
Goebel, Rafal; Rockafellar, Ralph Tyrrell
12
2008
Linear-convex control and duality. Zbl 1206.49036
Rockafellar, R. T.; Goebel, R.
4
2008
Variational inequalities and economic equilibrium. Zbl 1276.91070
Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B.
44
2007
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
177
2006
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
70
2006
Nonsmooth mechanics and analysis. Theoretical and numerical advances. Zbl 1110.74006
15
2006
A variational inequality scheme for determining an economic equilibrium of classical or extended type. Zbl 1113.49013
Jofre, A.; Rockafellar, R. T.; Wets, R. J.-B.
18
2005
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
116
2004
Hamilton-Jacobi theory and parametric analysis in fully convex problems of optimal control. Zbl 1083.49022
Rockafellar, R. Tyrrell
17
2004
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
96
2003
A property of piecewise smooth functions. Zbl 1042.90045
Rockafellar, R. T.
17
2003
Variational geometry and equilibrium. Zbl 1069.49013
Patriksson, Michael; Rockafellar, R. Tyrrell
1
2003
A mathematical model and descent algorithm for bilevel traffic management. Zbl 1134.90319
Patriksson, Michael; Rockafellar, R. Tyrrell
16
2002
Generalized conjugacy in Hamilton-Jacobi theory for fully convex Lagrangians. Zbl 1023.49023
Goebel, Rafal; Rockafellar, R. T.
5
2002
Graphical convergence of sums of monotone mappings. Zbl 1010.47031
Pennanen, T.; Rockafellar, R. T.; Théra, M.
4
2002
Conditional value-at-risk: optimization approach. Zbl 0989.91052
Uryasev, Stanislav; Rockafellar, R. Tyrrell
37
2001
Ample parameterization of variational inclusions. Zbl 1008.49009
Dontchev, A. L.; Rockafellar, R. T.
16
2001
Convex analysis in the calculus of variations. Zbl 1011.49013
Rockafellar, R. T.
7
2001
Primal-dual solution perturbations in convex optimization. Zbl 0984.90043
Dontchev, A. L.; Rockafellar, R. T.
2
2001
Local differentiability of distance functions. Zbl 0960.49018
Poliquin, R. A.; Rockafellar, R. T.; Thibault, L.
230
2000
Stability of locally optimal solutions. Zbl 0965.49018
Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T.
62
2000
Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018
Rockafellar, R. Tyrrell; Wolenski, Peter R.
25
2000
Second-order convex analysis. Zbl 0960.49017
Rockafellar, R. Tyrrell
16
2000
Extended nonlinear programming. Zbl 0986.90057
Rockafellar, R. Tyrrell
12
2000
Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019
Rockafellar, R. Tyrrell; Wolenski, Peter R.
12
2000
Second derivatives in convex analysis. Zbl 1003.49017
Rockafellar, R. T.
24
1999
Duality and optimality in multistage stochastic programming. Zbl 0920.90113
Rockafellar, R. T.
8
1999
Variational analysis. Zbl 0888.49001
Rockafellar, R. Tyrrell; Wets, Roger J.-B.
1998
Tilt stability of a local minimum. Zbl 0918.49016
Poliquin, R. A.; Rockafellar, R. T.
87
1998
Convex analysis. Zbl 0932.90001
Rockafellar, R. Tyrrell
1997
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
114
1997
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
37
1997
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
25
1997
Bolza problems with general time constraints. Zbl 0904.49014
Loewen, P. D.; Rockafellar, R. T.
20
1997
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
151
1996
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
140
1996
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012
Rockafellar, R. Tyrrell
58
1996
Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010
Poliquin, R. A.; Rockafellar, R. T.
32
1996
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
27
1996
New necessary conditions for the generalized problem of Bolza. Zbl 0871.49023
Loewen, P. D.; Rockafellar, R. T.
20
1996
Variational conditions and the proto-differentiation of partial subgradient mappings. Zbl 0858.49014
Levy, A. B.; Rockafellar, R. T.
13
1996
Second-order nonsmooth analysis in nonlinear programming. Zbl 0939.90022
Poliquin, René; Rockafellar, Terry
15
1995
Tax basis and nonlinearity in cash stream valuation. Zbl 0866.90013
Dermody, Jaime Cuevas; Rockafellar, R. Tyrrell
9
1995
Sensitivity of solutions in nonlinear programming problems with nonunique multipliers. Zbl 0945.90066
Levy, A. B.; Rockafellar, R. T.
8
1995
Monotone relations and network equilibrium. Zbl 0847.49012
Rockafellar, R. Tyrrell
3
1995
Optimal control of unbounded differential inclusions. Zbl 0823.49016
Loewen, Philip D.; Rockafellar, R. T.
48
1994
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
35
1994
Proto-derivative formulas for basic subgradient mappings in mathematical programming. Zbl 0813.49019
Poliquin, R. A.; Rockafellar, R. T.
8
1994
A finite simplex-active-set method for monotropic piecewise quadratic programming. Zbl 0828.90102
Rockafellar, R. T.; Sun, J.
5
1994
Lagrange multipliers and optimality. Zbl 0779.49024
Rockafellar, R. Tyrrell
137
1993
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
73
1993
Primal-dual projected gradient algorithms for extended linear-quadratic programming. Zbl 0788.65069
Zhu, Ciyou; Rockafellar, R. T.
18
1993
A calculus of epi-derivatives applicable to optimization. Zbl 0803.90113
Poliquin, R. A.; Rockafellar, R. T.
12
1993
Subgradients and variational analysis. Zbl 0889.49011
Rockafellar, R. T.
10
1993
Dualization of subgradient conditions for optimality. Zbl 0786.49012
Rockafellar, R. T.
10
1993
Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075
King, Alan J.; Rockafellar, R. Tyrrell
53
1992
A characterization of epi-convergence in terms of convergence of level sets. Zbl 0769.49011
Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B.
23
1992
Amenable functions in optimization. Zbl 1050.49513
Poliquin, R. A.; Rockafellar, R. T.
21
1992
A dual strategy for the implementation of the aggregation principle in decision making under uncertainty. Zbl 0800.90002
Rockafellar, R. T.; Wets, Roger J.-B.
4
1992
Cosmic convergence. Zbl 0793.49007
Rockafellar, R. T.; Wets, R. J.-B.
4
1992
Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067
Rockafellar, R. T.; Wets, Roger J.-B.
317
1991
The adjoint arc in nonsmooth optimization. Zbl 0734.49009
Loewen, Philip D.; Rockafellar, R. T.
23
1991
Cash stream valuation in the face of transaction costs and taxes. Zbl 0900.90110
Dermody, Jaime Cuevas; Rockafellar, R. Tyrrell
15
1991
...and 119 more Documents
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Cited by 14,279 Authors

154 Yao, Jen-Chih
140 Mordukhovich, Boris S.
91 Kumam, Poom
80 Zhang, Liwei
79 Thibault, Lionel
76 Yang, Xiaoqi
74 Rockafellar, Ralph Tyrrell
73 Bauschke, Heinz H.
73 Boţ, Radu Ioan
69 López-Cerdá, Marco Antonio
68 Penot, Jean-Paul
64 Wang, Shawn Xianfu
63 Borwein, Jonathan Michael
61 Ceng, Lu-Chuan
61 Yuan, Xiaoming
54 Noor, Muhammad Aslam
52 Adly, Samir
51 Iusem, Alfredo Noel
51 Martínez-Legaz, Juan-Enrique
50 Jeyakumar, Vaithilingam
50 Nguyen Dong Yen
49 Mewomo, Oluwatosin Temitope
48 Goberna, Miguel Angel
46 Cho, Yeol Je
46 Outrata, Jiří V.
46 Théra, Michel A.
45 Flåm, Sjur Didrik
45 Reich, Simeon
45 Thai Doan Chuong
45 Toh, Kim Chuan
44 Seeger, Alberto
44 Sun, Defeng
43 Wets, Roger Jean-Baptiste
42 Ioffe, Alexander Davidovich
42 Kruger, Alexander Y.
42 Ye, Jane J.
41 Cholamjiak, Prasit
41 Hantoute, Abderrahim
41 Lewis, Adrian S.
41 Pham Dinh Tao
41 Wen, Chingfeng
40 Papageorgiou, Nikolaos S.
39 Shehu, Yekini
39 Sun, Jie
38 Han, Deren
38 Jourani, Abderrahim
38 Mahmudov, Elimhan Nadir
37 Attouch, Hedy
37 Le Thi, Hoai An
37 Li, Guoyin
37 Pang, Liping
36 Shapiro, Alexander
36 Teboulle, Marc
35 Ansari, Qamrul Hasan
35 He, Bingsheng
35 Izuchukwu, Chinedu
35 Li, Shengjie
35 Pang, Jong-Shi
35 Parra, Juan
34 Burke, James V.
34 Cánovas, María Josefa
34 Csetnek, Ernö Robert
34 Dempe, Stephan
34 Nam, Nguyen Mau
33 Dontchev, Asen L.
33 Kanzow, Christian
33 Pan, Shaohua
33 Volle, Michel
32 Qi, Liqun
32 Ruszczyński, Andrzej
31 Frankowska, Hélène
31 Pong, Ting Kei
31 Tseng, Paul
30 Chen, Xiaojun
30 Correa, Rafael Augusto Couceiro
30 Kim, Do Sang
30 Lee, Gue Myung
30 Svaiter, Benar Fux
29 Drusvyatskiy, Dmitriy
29 Gfrerer, Helmut
29 Trương Minh Tuyên
29 Zălinescu, Constantin
28 Benson, Harold P.
28 Combettes, Patrick L.
28 Daniilidis, Aris
28 Dinh The Luc
28 Escudero, Laureano Fernando
28 Fang, Shu-Cherng
28 Li, Chong
28 Royset, Johannes O.
28 Solodov, Mikhail V.
28 Xu, Huifu
27 Bertsekas, Dimitri Panteli
27 Clarke, Francis H.
27 Durea, Marius
27 Huang, Nan-Jing
27 Lê Dung Muu
27 Oliveira, Paulo Roberto
27 Pennanen, Teemu
27 Zhang, Jin
...and 14,179 more Authors
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Cited in 889 Serials

1,139 Journal of Optimization Theory and Applications
724 Mathematical Programming. Series A. Series B
614 Journal of Mathematical Analysis and Applications
593 Optimization
395 SIAM Journal on Optimization
390 Journal of Global Optimization
337 European Journal of Operational Research
322 Set-Valued and Variational Analysis
306 Computational Optimization and Applications
300 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
237 Optimization Letters
202 Linear Algebra and its Applications
193 Annals of Operations Research
164 Numerical Functional Analysis and Optimization
162 Automatica
161 Journal of Economic Theory
158 Journal of Mathematical Economics
155 Journal of Convex Analysis
149 Journal of Inequalities and Applications
147 Applied Mathematics and Optimization
145 Fixed Point Theory and Applications
144 Nonlinear Analysis. Theory, Methods & Applications
136 Mathematical Programming
132 Transactions of the American Mathematical Society
131 Optimization Methods & Software
128 Journal of Computational and Applied Mathematics
124 Applied Mathematics and Computation
122 Operations Research Letters
106 Proceedings of the American Mathematical Society
102 Journal of Differential Equations
100 Abstract and Applied Analysis
91 SIAM Journal on Control and Optimization
88 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
87 Journal of Industrial and Management Optimization
85 Mathematical Methods of Operations Research
84 Set-Valued Analysis
84 Positivity
79 Applicable Analysis
78 Computers & Mathematics with Applications
78 Numerical Algorithms
77 Journal of Functional Analysis
72 Journal of Scientific Computing
69 Journal of Approximation Theory
69 Mathematics of Operations Research
68 Systems & Control Letters
68 Calculus of Variations and Partial Differential Equations
66 Journal of Mathematical Imaging and Vision
65 Computer Methods in Applied Mechanics and Engineering
62 Stochastic Processes and their Applications
60 SIAM Journal on Imaging Sciences
59 Computers & Operations Research
58 The Annals of Statistics
56 Advances in Mathematics
53 The Annals of Applied Probability
53 Cybernetics and Systems Analysis
52 Economic Theory
51 Archive for Rational Mechanics and Analysis
51 Mathematical Notes
51 Journal of Applied Mathematics
50 Games and Economic Behavior
49 Annali di Matematica Pura ed Applicata. Serie Quarta
49 Vietnam Journal of Mathematics
48 Fuzzy Sets and Systems
48 Journal of Fixed Point Theory and Applications
47 Journal of Multivariate Analysis
47 Insurance Mathematics & Economics
47 Computational and Applied Mathematics
45 Journal of Mathematical Sciences (New York)
44 Discrete Applied Mathematics
44 Automation and Remote Control
44 Journal of the Operations Research Society of China
43 Siberian Mathematical Journal
42 Proceedings of the Steklov Institute of Mathematics
41 Mathematical and Computer Modelling
41 Journal of Machine Learning Research (JMLR)
40 Asia-Pacific Journal of Operational Research
39 Kybernetika
39 Mathematical Problems in Engineering
39 Mathematical Finance
38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
37 Numerische Mathematik
37 Finance and Stochastics
37 Electronic Journal of Statistics
37 Journal of Nonlinear and Variational Analysis
36 Top
36 Optimization and Engineering
36 Mathematics and Financial Economics
35 Bulletin of the Australian Mathematical Society
35 International Journal for Numerical Methods in Engineering
35 Journal of Statistical Planning and Inference
35 Applied Mathematics Letters
34 Journal of Applied Mathematics and Mechanics
33 Statistics & Probability Letters
33 Journal of Applied Mathematics and Computing
32 Communications in Mathematical Physics
32 Journal of Economic Dynamics & Control
31 Inverse Problems
31 Cybernetics
30 INFORMS Journal on Computing
30 Nonlinear Analysis. Hybrid Systems
...and 789 more Serials
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Cited in 63 Fields

7,935 Operations research, mathematical programming (90-XX)
5,023 Calculus of variations and optimal control; optimization (49-XX)
2,544 Numerical analysis (65-XX)
2,238 Operator theory (47-XX)
1,946 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
989 Systems theory; control (93-XX)
848 Probability theory and stochastic processes (60-XX)
836 Convex and discrete geometry (52-XX)
816 Statistics (62-XX)
799 Functional analysis (46-XX)
776 Real functions (26-XX)
694 Partial differential equations (35-XX)
587 Computer science (68-XX)
475 Ordinary differential equations (34-XX)
461 Mechanics of deformable solids (74-XX)
405 Linear and multilinear algebra; matrix theory (15-XX)
373 General topology (54-XX)
369 Information and communication theory, circuits (94-XX)
358 Global analysis, analysis on manifolds (58-XX)
244 Measure and integration (28-XX)
239 Approximations and expansions (41-XX)
229 Dynamical systems and ergodic theory (37-XX)
152 Biology and other natural sciences (92-XX)
145 Differential geometry (53-XX)
133 Statistical mechanics, structure of matter (82-XX)
132 Combinatorics (05-XX)
116 Algebraic geometry (14-XX)
112 Mechanics of particles and systems (70-XX)
109 Quantum theory (81-XX)
98 Fluid mechanics (76-XX)
77 Mathematical logic and foundations (03-XX)
71 Several complex variables and analytic spaces (32-XX)
51 Difference and functional equations (39-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
48 Number theory (11-XX)
48 Geometry (51-XX)
41 Functions of a complex variable (30-XX)
37 Order, lattices, ordered algebraic structures (06-XX)
36 Classical thermodynamics, heat transfer (80-XX)
34 Integral equations (45-XX)
32 Integral transforms, operational calculus (44-XX)
30 Manifolds and cell complexes (57-XX)
29 Optics, electromagnetic theory (78-XX)
24 Nonassociative rings and algebras (17-XX)
23 Group theory and generalizations (20-XX)
22 Potential theory (31-XX)
20 Topological groups, Lie groups (22-XX)
19 History and biography (01-XX)
18 General and overarching topics; collections (00-XX)
18 Field theory and polynomials (12-XX)
18 Commutative algebra (13-XX)
18 Geophysics (86-XX)
16 Algebraic topology (55-XX)
15 Sequences, series, summability (40-XX)
11 Abstract harmonic analysis (43-XX)
9 Special functions (33-XX)
8 Associative rings and algebras (16-XX)
8 Category theory; homological algebra (18-XX)
6 Relativity and gravitational theory (83-XX)
4 Mathematics education (97-XX)
2 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Astronomy and astrophysics (85-XX)

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