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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 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 Computational Optimization and Applications
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 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

215 Publications have been cited 20,829 times in 14,827 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
Conjugate convex functions in nonlinear programming. Zbl 0229.90020
Rockafellar, R. T.
1970
Convex analysis. Zbl 0932.90001
Rockafellar, R. Tyrrell
1997
Convex functions, monotone operators and variational inequalities. Zbl 0202.14303
Rockafellar, R. T.
500
1970
On the maximality of sums of nonlinear monotone operators. Zbl 0222.47017
Rockafellar, R. T.
489
1970
Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Zbl 0402.90076
Rockafellar, R. T.
437
1976
State constraints in convex control problems of Bolza. Zbl 0224.49003
Rockafellar, R. T.
365
1972
On the maximal monotonicity of subdifferential mappings. Zbl 0199.47101
Rockafellar, R. T.
359
1970
Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067
Rockafellar, R. T.; Wets, Roger J.-B.
299
1991
Conjugate duality and optimization. Zbl 0296.90036
Rockafellar, R. Tyrrell
288
1974
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
272
2009
Local differentiability of distance functions. Zbl 0960.49018
Poliquin, R. A.; Rockafellar, R. T.; Thibault, L.
223
2000
Generalized directional derivatives and subgradients of nonconvex functions. Zbl 0447.49009
Rockafellar, R. T.
200
1980
Characterization of the subdifferentials of convex functions. Zbl 0145.15901
Rockafellar, R. T.
196
1966
Integrals which are convex functionals. Zbl 0159.43804
Rockafellar, R. T.
165
1968
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
163
2006
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
159
2014
Network flows and monotropic optimization. Zbl 0596.90055
Rockafellar, R. T.
151
1984
Directionally Lipschitzian functions and subdifferential calculus. Zbl 0413.49015
Rockafellar, R. T.
151
1979
Integrals which are convex functionals. II. Zbl 0236.46031
Rockafellar, R. T.
149
1971
On the subdifferentiability of convex functions. Zbl 0141.11801
Brøndsted, Arne; Rockafellar, R. T.
148
1965
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
144
1996
The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Zbl 0462.90052
Rockafellar, R. T.
141
1981
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
133
1996
Augmented Lagrange multiplier functions and duality in nonconvex programming. Zbl 0257.90046
Rockafellar, R. Tyrrell
133
1974
The multiplier method of Hestenes and Powell applied to convex programming. Zbl 0254.90045
Rockafellar, R. T.
131
1973
Lagrange multipliers and optimality. Zbl 0779.49024
Rockafellar, R. Tyrrell
126
1993
Clarke’s tangent cones and the boundaries of closed sets in \(\mathbb{R}^n\). Zbl 0443.26010
Rockafellar, R. T.
114
1979
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
111
2004
Convex functions and duality in optimization problems and dynamics. Zbl 0186.23901
Rockafellar, R. T.
109
1969
Integral functionals, normal integrands and measurable selections. Zbl 0374.49001
Rockafellar, Tyrrell
105
1976
A dual approach to solving nonlinear programming problems by unconstrained optimization. Zbl 0279.90035
Rockafellar, R. Tyrrell
105
1973
Duality and stability in extremum problems involving convex functions. Zbl 0154.44902
Rockafellar, R. T.
102
1967
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
101
1997
Lipschitzian properties of multifunctions. Zbl 0573.54011
Rockafellar, R. Tyrrell
100
1985
Local boundedness of nonlinear, monotone operators. Zbl 0175.45002
Rockafellar, R. T.
94
1969
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
93
2003
Extension of Fenchel’s duality theorem for convex functions. Zbl 0138.09301
Rockafellar, R. T.
89
1966
First- and second-order epi-differentiability in nonlinear programming. Zbl 0655.49010
Rockafellar, R. T.
84
1988
Measurable dependence of convex sets and functions on parameters. Zbl 0202.33804
Rockafellar, R. T.
83
1969
Tilt stability of a local minimum. Zbl 0918.49016
Poliquin, R. A.; Rockafellar, R. T.
81
1998
Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082
Rockafellar, R. T.
79
1989
Gradients of convex functions. Zbl 0181.41901
Asplund, E.; Rockafellar, R. T.
79
1969
Conjugate convex functions in optimal control and the calculus of variations. Zbl 0218.49004
Rockafellar, R. T.
78
1970
Level sets and continuity of conjugate convex functions. Zbl 0145.15802
Rockafellar, R. T.
77
1966
Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022
Mordukhovich, B. S.; Rockafellar, R. T.
71
2012
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
69
2006
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
68
1993
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
Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate. Zbl 0333.90007
Rockafellar, R. Tyrrell
59
1976
Proximal subgradients, marginal values, and augmented Lagrangians in nonconvex optimization. Zbl 0492.90073
Rockafellar, R. T.
58
1981
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012
Rockafellar, R. Tyrrell
57
1996
Extensions of subgradient calculus with applications to optimization. Zbl 0593.49013
Rockafellar, R. T.
56
1985
Monotone processes of convex and concave type. Zbl 0189.19602
Rockafellar, R. Tyrrell
56
1967
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
53
2009
Existence theorems for general control problems of Bolza and Lagrange. Zbl 0319.49001
Rockafellar, Tyrrell R.
53
1975
Favorable classes of Lipschitz-continuous functions in subgradient optimization. Zbl 0511.26009
Rockafellar, R. Tyrrell
52
1982
Convex integral functionals and duality. Zbl 0326.49008
Rockafellar, R. T.
52
1974
Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming. Zbl 0478.90060
Rockafellar, R. T.
52
1982
Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075
King, Alan J.; Rockafellar, R. Tyrrell
51
1992
Convex analysis. (Vypuklyi analiz.) Übersetzung aus dem Englischen von A. D. Ioffe und V. M. Tihomirov. Zbl 0251.90035
Rockafellar, R. Tyrrell
50
1973
Maximal monotone relations and the second derivatives of nonsmooth functions. Zbl 0581.49009
Rockafellar, R. T.
49
1985
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
48
2017
A Lagrangian finite generation technique for solving linear-quadratic problems in stochastic programming. Zbl 0599.90090
Rockafellar, R. T.; Wets, R. J.-B.
47
1986
Optimal control of unbounded differential inclusions. Zbl 0823.49016
Loewen, Philip D.; Rockafellar, R. T.
47
1994
Saddle points of Hamiltonian systems in convex problems of Lagrange. Zbl 0248.49016
Rockafellar, R. T.
46
1973
Existence and duality theorems for convex problems of Bolza. Zbl 0255.49007
Rockafellar, R. T.
46
1971
Variational inequalities and economic equilibrium. Zbl 1276.91070
Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B.
43
2007
Directional differentiability of the optimal value function in a nonlinear programming problem. Zbl 0546.90088
Rockafellar, R. T.
43
1984
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
Characterizations of full stability in constrained optimization. Zbl 1284.49032
Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E.
37
2013
Linear-quadratic programming and optimal control. Zbl 0617.49010
Rockafellar, R. T.
35
1987
Conditional value-at-risk: optimization approach. Zbl 0989.91052
Uryasev, Stanislav; Rockafellar, R. Tyrrell
35
2001
Computational schemes for large-scale problems in extended linear- quadratic programming. Zbl 0735.90050
Rockafellar, R. T.
34
1990
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
34
2019
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
33
1994
Stochastic convex programming: Relatively complete recourse and induced feasibility. Zbl 0346.90058
Rockafellar, R. T.; Wets, R. J.-B.
32
1976
Generalized second derivatives of convex functions and saddle functions. Zbl 0712.49011
Rockafellar, R. T.
31
1990
On the interchange of subdifferentiation and conditional expectation for convex functionals. Zbl 0487.49006
Rockafellar, R. T.; Wets, R. J. B.
30
1982
Generalized Hamiltonian equations for convex problems of Lagrange. Zbl 0199.43002
Rockafellar, R. T.
29
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
Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010
Poliquin, R. A.; Rockafellar, R. T.
27
1996
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
27
2015
Monotone operators associated with saddle-functions and minimax problems. Zbl 0237.47030
Rockafellar, R. T.
27
1970
Some convex programs whose duals are linearly constrained. Zbl 0252.90046
Rockafellar, R. Tyrrell
27
1970
A general correspondence between dual minimax problems and convex programs. Zbl 0162.23103
Rockafellar, R. T.
27
1968
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
27
2010
Stochastic convex programming: basic duality. Zbl 0339.90048
Rockafellar, R. T.; Wets, R. J.-B.
26
1976
Convex functions on convex polytopes. Zbl 0246.26009
Gale, David; Klee, Victor; Rockafellar, R. T.
26
1968
Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018
Rockafellar, R. Tyrrell; Wolenski, Peter R.
25
2000
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
25
1996
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.
25
1990
Nonanticipativity and \(\mathcal L^1\)-martingales in stochastic optimization problems. Zbl 0377.90073
Rockafellar, R. T.; Wets, R. J.-B.
24
1976
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
The adjoint arc in nonsmooth optimization. Zbl 0734.49009
Loewen, Philip D.; Rockafellar, R. T.
23
1991
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
23
1997
Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality. Zbl 1512.90239
Rockafellar, R. Tyrrell
2
2023
Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming. Zbl 07681257
Rockafellar, R. Tyrrell
1
2023
Sensitivity analysis of maximally monotone inclusions via the proto-differentiability of the resolvent operator. Zbl 1473.49047
Adly, Samir; Rockafellar, R. Tyrrell
2
2021
Advances in convergence and scope of the proximal point algorithm. Zbl 1481.65094
Rockafellar, R. Tyrrell
1
2021
Solving Lagrangian variational inequalities with applications to stochastic programming. Zbl 1445.90069
Rockafellar, R. Tyrrell; Sun, Jie
11
2020
Minimizing buffered probability of exceedance by progressive hedging. Zbl 1440.90036
Rockafellar, R. Tyrrell; Uryasev, Stan
1
2020
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
34
2019
Variational convexity and the local monotonicity of subgradient mappings. Zbl 1428.49021
Rockafellar, R. Tyrrell
4
2019
Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007
Rockafellar, R. Tyrrell
4
2019
Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027
Rockafellar, R. Tyrrell
9
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
2
2018
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
48
2017
General economic equilibrium with financial markets and retainability. Zbl 1405.91742
Jofré, A.; Rockafellar, R. T.; Wets, R. J-B.
8
2017
Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Zbl 1355.00026
1
2016
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
27
2015
Measures of residual risk with connections to regression, risk tracking, surrogate models, and ambiguity. Zbl 1316.91016
Rockafellar, R. Tyrrell; Royset, Johannes O.
15
2015
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
159
2014
Random variables, monotone relations, and convex analysis. Zbl 1330.60009
Rockafellar, R. T.; Royset, J. O.
18
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.
15
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.
37
2013
Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047
Dontchev, A. L.; Rockafellar, R. T.
22
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.
8
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.
71
2012
Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021
Dontchev, Asen L.; Rockafellar, Ralph Tyrrell
5
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.
27
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
272
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
20
2008
Local strong convexity and local Lipschitz continuity of the gradient of convex functions. Zbl 1149.26022
Goebel, Rafal; Rockafellar, Ralph Tyrrell
10
2008
Linear-convex control and duality. Zbl 1206.49036
Rockafellar, R. T.; Goebel, R.
3
2008
Variational inequalities and economic equilibrium. Zbl 1276.91070
Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B.
43
2007
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
163
2006
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
69
2006
Nonsmooth mechanics and analysis. Theoretical and numerical advances. Zbl 1110.74006
5
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.
111
2004
Hamilton-Jacobi theory and parametric analysis in fully convex problems of optimal control. Zbl 1083.49022
Rockafellar, R. Tyrrell
15
2004
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
93
2003
A property of piecewise smooth functions. Zbl 1042.90045
Rockafellar, R. T.
15
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
15
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.
3
2002
Conditional value-at-risk: optimization approach. Zbl 0989.91052
Uryasev, Stanislav; Rockafellar, R. Tyrrell
35
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.
223
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
13
2000
Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019
Rockafellar, R. Tyrrell; Wolenski, Peter R.
12
2000
Extended nonlinear programming. Zbl 0986.90057
Rockafellar, R. Tyrrell
10
2000
Second derivatives in convex analysis. Zbl 1003.49017
Rockafellar, R. T.
23
1999
Duality and optimality in multistage stochastic programming. Zbl 0920.90113
Rockafellar, R. T.
6
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.
81
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.
101
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.
23
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.
144
1996
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
133
1996
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012
Rockafellar, R. Tyrrell
57
1996
Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010
Poliquin, R. A.; Rockafellar, R. T.
27
1996
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
25
1996
New necessary conditions for the generalized problem of Bolza. Zbl 0871.49023
Loewen, P. D.; Rockafellar, R. T.
18
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
12
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.
47
1994
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
33
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
126
1993
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
68
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
Dualization of subgradient conditions for optimality. Zbl 0786.49012
Rockafellar, R. T.
10
1993
Subgradients and variational analysis. Zbl 0889.49011
Rockafellar, R. T.
10
1993
Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075
King, Alan J.; Rockafellar, R. Tyrrell
51
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
Cosmic convergence. Zbl 0793.49007
Rockafellar, R. T.; Wets, R. J.-B.
4
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
Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067
Rockafellar, R. T.; Wets, Roger J.-B.
299
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
Large-scale extended linear-quadratic programming and multistage optimization. Zbl 0743.90086
Rockafellar, R. T.
5
1991
On a special class of convex functions. Zbl 0795.49015
Rockafellar, R. T.
3
1991
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
...and 115 more Documents
all top 5

Cited by 12,992 Authors

139 Yao, Jen-Chih
129 Mordukhovich, Boris S.
84 Kumam, Poom
77 Thibault, Lionel
73 Zhang, Liwei
71 Bauschke, Heinz H.
70 Rockafellar, Ralph Tyrrell
70 Yang, Xiaoqi
67 Penot, Jean-Paul
65 López-Cerdá, Marco Antonio
62 Borwein, Jonathan Michael
62 Boţ, Radu Ioan
61 Ceng, Lu-Chuan
59 Wang, Shawn Xianfu
58 Yuan, Xiaoming
54 Noor, Muhammad Aslam
48 Jeyakumar, Vaithilingam
48 Martínez-Legaz, Juan-Enrique
46 Goberna, Miguel Angel
45 Adly, Samir
45 Flåm, Sjur Didrik
45 Outrata, Jiří V.
44 Iusem, Alfredo Noel
43 Nguyen Dong Yen
42 Toh, Kim Chuan
42 Wets, Roger Jean-Baptiste
41 Cho, Yeol Je
41 Théra, Michel A.
40 Ioffe, Alexander Davidovich
40 Kruger, Alexander Y.
40 Papageorgiou, Nikolaos S.
40 Pham Dinh Tao
40 Seeger, Alberto
40 Sun, Defeng
40 Thai Doan Chuong
39 Hantoute, Abderrahim
39 Lewis, Adrian S.
39 Mewomo, Oluwatosin Temitope
39 Wen, Chingfeng
38 Reich, Simeon
38 Sun, Jie
38 Ye, Jane J.
37 Jourani, Abderrahim
35 Cholamjiak, Prasit
35 He, Bingsheng
35 Li, Guoyin
35 Mahmudov, Elimhan Nadir
35 Shapiro, Alexander
34 Le Thi, Hoai An
34 Shehu, Yekini
33 Attouch, Hedy
33 Han, Deren
33 Teboulle, Marc
32 Dontchev, Asen L.
32 Li, Shengjie
32 Pang, Jong-Shi
31 Ansari, Qamrul Hasan
31 Nam, Nguyen Mau
31 Pang, Liping
31 Parra, Juan
31 Qi, Liqun
31 Tseng, Paul
31 Volle, Michel
30 Cánovas, María Josefa
30 Ruszczyński, Andrzej
29 Dempe, Stephan
29 Izuchukwu, Chinedu
29 Svaiter, Benar Fux
29 Zălinescu, Constantin
28 Benson, Harold P.
28 Burke, James V.
28 Chen, Xiaojun
28 Combettes, Patrick L.
28 Correa, Rafael
28 Escudero, Laureano Fernando
28 Fang, Shu-Cherng
28 Frankowska, Hélène
28 Lee, Gue Myung
28 Solodov, Mikhail V.
27 Bertsekas, Dimitri Panteli
27 Clarke, Francis H.
27 Daniilidis, Aris
27 Dinh The Luc
27 Drusvyatskiy, Dmitriy
27 Lê Dung Muu
27 Pan, Shaohua
27 Pennanen, Teemu
26 Kanzow, Christian
26 Kim, Do Sang
26 Oliveira, Paulo Roberto
26 Royset, Johannes O.
26 Takahashi, Wataru
26 Xu, Huifu
25 Csetnek, Ernö Robert
25 Gfrerer, Helmut
25 Martínez, José Mario
25 Panagiotopoulos, Panagiotis D.
25 Qin, Xiaolong
25 Suantai, Suthep
25 Wanka, Gert
...and 12,892 more Authors
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Cited in 840 Serials

1,072 Journal of Optimization Theory and Applications
659 Mathematical Programming. Series A. Series B
590 Journal of Mathematical Analysis and Applications
505 Optimization
342 Journal of Global Optimization
330 SIAM Journal on Optimization
320 European Journal of Operational Research
292 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
285 Set-Valued and Variational Analysis
256 Computational Optimization and Applications
213 Optimization Letters
190 Linear Algebra and its Applications
181 Annals of Operations Research
159 Numerical Functional Analysis and Optimization
152 Journal of Economic Theory
151 Automatica
146 Journal of Mathematical Economics
142 Journal of Inequalities and Applications
141 Fixed Point Theory and Applications
139 Nonlinear Analysis. Theory, Methods & Applications
136 Mathematical Programming
132 Transactions of the American Mathematical Society
131 Applied Mathematics and Optimization
129 Journal of Convex Analysis
127 Optimization Methods & Software
117 Applied Mathematics and Computation
117 Journal of Computational and Applied Mathematics
109 Operations Research Letters
105 Proceedings of the American Mathematical Society
99 Journal of Differential Equations
99 Abstract and Applied Analysis
84 Set-Valued Analysis
80 SIAM Journal on Control and Optimization
78 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
78 Mathematical Methods of Operations Research
72 Positivity
71 Journal of Functional Analysis
70 Computers & Mathematics with Applications
68 Journal of Approximation Theory
67 Applicable Analysis
67 Journal of Scientific Computing
65 Mathematics of Operations Research
63 Computer Methods in Applied Mechanics and Engineering
62 Numerical Algorithms
62 Journal of Industrial and Management Optimization
60 Systems & Control Letters
58 Computers & Operations Research
58 Journal of Mathematical Imaging and Vision
56 The Annals of Statistics
56 Stochastic Processes and their Applications
54 Calculus of Variations and Partial Differential Equations
53 SIAM Journal on Imaging Sciences
51 Advances in Mathematics
51 Journal of Applied Mathematics
50 Archive for Rational Mechanics and Analysis
50 Mathematical Notes
50 Economic Theory
49 The Annals of Applied Probability
48 Games and Economic Behavior
46 Journal of Fixed Point Theory and Applications
45 Journal of Multivariate Analysis
43 Annali di Matematica Pura ed Applicata. Serie Quarta
43 Insurance Mathematics & Economics
43 Cybernetics and Systems Analysis
43 Journal of Mathematical Sciences (New York)
42 Fuzzy Sets and Systems
41 Discrete Applied Mathematics
41 Siberian Mathematical Journal
41 Proceedings of the Steklov Institute of Mathematics
39 Mathematical and Computer Modelling
39 Journal of the Operations Research Society of China
38 Kybernetika
38 Automation and Remote Control
37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
37 Mathematical Problems in Engineering
37 Mathematical Finance
36 Finance and Stochastics
36 Vietnam Journal of Mathematics
35 Bulletin of the Australian Mathematical Society
35 Numerische Mathematik
35 Asia-Pacific Journal of Operational Research
35 Computational and Applied Mathematics
35 Top
34 Electronic Journal of Statistics
33 Journal of Statistical Planning and Inference
33 Journal of Machine Learning Research (JMLR)
32 Journal of Economic Dynamics & Control
32 Mathematics and Financial Economics
31 International Journal for Numerical Methods in Engineering
31 Cybernetics
31 Optimization and Engineering
31 Journal of Applied Mathematics and Computing
30 Communications in Mathematical Physics
30 Statistics & Probability Letters
30 Applied Mathematics Letters
29 International Journal of Systems Science
28 SIAM Journal on Scientific Computing
28 INFORMS Journal on Computing
27 Acta Mathematicae Applicatae Sinica. English Series
27 Nonlinear Analysis. Hybrid Systems
...and 740 more Serials
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Cited in 63 Fields

7,139 Operations research, mathematical programming (90-XX)
4,578 Calculus of variations and optimal control; optimization (49-XX)
2,269 Numerical analysis (65-XX)
2,037 Operator theory (47-XX)
1,768 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
892 Systems theory; control (93-XX)
748 Probability theory and stochastic processes (60-XX)
730 Functional analysis (46-XX)
728 Convex and discrete geometry (52-XX)
723 Statistics (62-XX)
692 Real functions (26-XX)
610 Partial differential equations (35-XX)
513 Computer science (68-XX)
438 Ordinary differential equations (34-XX)
419 Mechanics of deformable solids (74-XX)
362 Linear and multilinear algebra; matrix theory (15-XX)
336 General topology (54-XX)
331 Information and communication theory, circuits (94-XX)
329 Global analysis, analysis on manifolds (58-XX)
228 Measure and integration (28-XX)
223 Approximations and expansions (41-XX)
193 Dynamical systems and ergodic theory (37-XX)
129 Biology and other natural sciences (92-XX)
119 Differential geometry (53-XX)
117 Statistical mechanics, structure of matter (82-XX)
109 Combinatorics (05-XX)
104 Mechanics of particles and systems (70-XX)
97 Algebraic geometry (14-XX)
97 Quantum theory (81-XX)
81 Fluid mechanics (76-XX)
68 Mathematical logic and foundations (03-XX)
58 Several complex variables and analytic spaces (32-XX)
47 Harmonic analysis on Euclidean spaces (42-XX)
46 Number theory (11-XX)
43 Difference and functional equations (39-XX)
41 Geometry (51-XX)
37 Functions of a complex variable (30-XX)
31 Order, lattices, ordered algebraic structures (06-XX)
30 Integral equations (45-XX)
29 Integral transforms, operational calculus (44-XX)
28 Classical thermodynamics, heat transfer (80-XX)
26 Manifolds and cell complexes (57-XX)
24 Optics, electromagnetic theory (78-XX)
21 Nonassociative rings and algebras (17-XX)
20 Group theory and generalizations (20-XX)
19 Potential theory (31-XX)
18 Topological groups, Lie groups (22-XX)
17 History and biography (01-XX)
17 Field theory and polynomials (12-XX)
17 Geophysics (86-XX)
15 General and overarching topics; collections (00-XX)
15 Commutative algebra (13-XX)
13 Algebraic topology (55-XX)
11 Sequences, series, summability (40-XX)
11 Abstract harmonic analysis (43-XX)
9 Special functions (33-XX)
7 Associative rings and algebras (16-XX)
6 Category theory; homological algebra (18-XX)
5 Relativity and gravitational theory (83-XX)
3 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Astronomy and astrophysics (85-XX)

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