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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
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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 Convex Analysis
7 Journal of Nonlinear and Convex Analysis
5 Journal of Mathematical Analysis and Applications
5 Journal of Optimization Theory and Applications
5 Nonlinear Analysis. Theory, Methods & Applications
4 Proceedings of the American Mathematical Society
4 Computational Optimization and Applications
4 Set-Valued Analysis
4 Vietnam Journal of Mathematics
4 Set-Valued and Variational Analysis
3 Canadian Journal of Mathematics
3 Mathematical Programming Study
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 Computational Management Science
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 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

224 Publications have been cited 24,607 times in 17,332 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
Convex functions, monotone operators and variational inequalities. Zbl 0202.14303
Rockafellar, R. T.
541
1970
On the maximality of sums of nonlinear monotone operators. Zbl 0222.47017
Rockafellar, R. T.
524
1970
Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Zbl 0402.90076
Rockafellar, R. T.
488
1976
On the maximal monotonicity of subdifferential mappings. Zbl 0199.47101
Rockafellar, R. T.
407
1970
Conjugate duality and optimization. Zbl 0296.90036
Rockafellar, R. Tyrrell
379
1974
State constraints in convex control problems of Bolza. Zbl 0224.49003
Rockafellar, R. T.
368
1972
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
360
2009
Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067
Rockafellar, R. T.; Wets, Roger J.-B.
326
1991
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
253
2014
Local differentiability of distance functions. Zbl 0960.49018
Poliquin, R. A.; Rockafellar, R. T.; Thibault, L.
244
2000
Characterization of the subdifferentials of convex functions. Zbl 0145.15901
Rockafellar, R. T.
220
1966
Generalized directional derivatives and subgradients of nonconvex functions. Zbl 0447.49009
Rockafellar, R. T.
210
1980
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
191
2006
Integrals which are convex functionals. Zbl 0159.43804
Rockafellar, R. T.
183
1968
Network flows and monotropic optimization. Zbl 0596.90055
Rockafellar, R. T.
165
1984
On the subdifferentiability of convex functions. Zbl 0141.11801
Brøndsted, Arne; Rockafellar, R. T.
161
1965
Integrals which are convex functionals. II. Zbl 0236.46031
Rockafellar, R. T.
159
1971
Directionally Lipschitzian functions and subdifferential calculus. Zbl 0413.49015
Rockafellar, R. T.
159
1979
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
155
1996
The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Zbl 0462.90052
Rockafellar, R. T.
154
1981
Augmented Lagrange multiplier functions and duality in nonconvex programming. Zbl 0257.90046
Rockafellar, R. Tyrrell
152
1974
The multiplier method of Hestenes and Powell applied to convex programming. Zbl 0254.90045
Rockafellar, R. T.
151
1973
Integral functionals, normal integrands and measurable selections. Zbl 0374.49001
Rockafellar, Tyrrell
149
1976
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
147
1996
Lagrange multipliers and optimality. Zbl 0779.49024
Rockafellar, R. Tyrrell
144
1993
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
129
1997
Clarke’s tangent cones and the boundaries of closed sets in \(\mathbb{R}^n\). Zbl 0443.26010
Rockafellar, R. T.
120
1979
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
116
2004
A dual approach to solving nonlinear programming problems by unconstrained optimization. Zbl 0279.90035
Rockafellar, R. Tyrrell
113
1973
Duality and stability in extremum problems involving convex functions. Zbl 0154.44902
Rockafellar, R. T.
108
1967
Convex functions and duality in optimization problems and dynamics. Zbl 0186.23901
Rockafellar, R. T.
106
1969
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.
99
2003
Tilt stability of a local minimum. Zbl 0918.49016
Poliquin, R. A.; Rockafellar, R. T.
95
1998
Extension of Fenchel’s duality theorem for convex functions. Zbl 0138.09301
Rockafellar, R. T.
95
1966
Local boundedness of nonlinear, monotone operators. Zbl 0175.45002
Rockafellar, R. T.
95
1969
First- and second-order epi-differentiability in nonlinear programming. Zbl 0655.49010
Rockafellar, R. T.
93
1988
Level sets and continuity of conjugate convex functions. Zbl 0145.15802
Rockafellar, R. T.
89
1966
Gradients of convex functions. Zbl 0181.41901
Asplund, E.; Rockafellar, R. T.
86
1969
Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082
Rockafellar, R. T.
85
1989
Conjugate convex functions in optimal control and the calculus of variations. Zbl 0218.49004
Rockafellar, R. T.
85
1970
Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022
Mordukhovich, B. S.; Rockafellar, R. T.
83
2012
Measurable dependence of convex sets and functions on parameters. Zbl 0202.33804
Rockafellar, R. T.
80
1969
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
74
1993
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
66
2017
Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives. Zbl 0698.90070
Rockafellar, R. Tyrrell
65
1989
Stability of locally optimal solutions. Zbl 0965.49018
Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T.
65
2000
Monotone processes of convex and concave type. Zbl 0189.19602
Rockafellar, R. Tyrrell
63
1967
Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate. Zbl 0333.90007
Rockafellar, R. Tyrrell
63
1976
Convex analysis. (Vypuklyi analiz.) Übersetzung aus dem Englischen von A. D. Ioffe und V. M. Tihomirov. Zbl 0251.90035
Rockafellar, R. Tyrrell
63
1973
Proximal subgradients, marginal values, and augmented Lagrangians in nonconvex optimization. Zbl 0492.90073
Rockafellar, R. T.
63
1981
Favorable classes of Lipschitz-continuous functions in subgradient optimization. Zbl 0511.26009
Rockafellar, R. Tyrrell
62
1982
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
60
2006
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012
Rockafellar, R. Tyrrell
58
1996
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.
56
1982
Maximal monotone relations and the second derivatives of nonsmooth functions. Zbl 0581.49009
Rockafellar, R. T.
55
1985
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
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
52
2019
Optimal control of unbounded differential inclusions. Zbl 0823.49016
Loewen, Philip D.; Rockafellar, R. T.
51
1994
Convex integral functionals and duality. Zbl 0326.49008
Rockafellar, R. T.
51
1974
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
51
2009
Existence and duality theorems for convex problems of Bolza. Zbl 0255.49007
Rockafellar, R. T.
49
1971
The elementary vectors of a subspace of \(\mathbb R^n\). Zbl 0229.90019
Rockafellar, R. T.
48
1969
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
Variational inequalities and economic equilibrium. Zbl 1276.91070
Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B.
48
2007
Monotone operators associated with saddle-functions and minimax problems. Zbl 0237.47030
Rockafellar, R. T.
46
1970
Saddle points of Hamiltonian systems in convex problems of Lagrange. Zbl 0248.49016
Rockafellar, R. T.
46
1973
Convex integral functionals and duality. Zbl 0295.49006
Rockafellar, R. Tyrrell
44
1971
Characterizations of full stability in constrained optimization. Zbl 1284.49032
Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E.
44
2013
Directional differentiability of the optimal value function in a nonlinear programming problem. Zbl 0546.90088
Rockafellar, R. T.
44
1984
Generalized linear-quadratic problems of deterministic and stochastic optimal control in discrete time. Zbl 0714.49036
Rockafellar, R. T.; Wets, R. J.-B.
43
1990
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
38
1997
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
37
1994
Conditional value-at-risk: optimization approach. Zbl 0989.91052
Uryasev, Stanislav; Rockafellar, R. Tyrrell
37
2001
Nonanticipativity and \(\mathcal L^1\)-martingales in stochastic optimization problems. Zbl 0377.90073
Rockafellar, R. T.; Wets, R. J.-B.
36
1976
Stochastic convex programming: Relatively complete recourse and induced feasibility. Zbl 0346.90058
Rockafellar, R. T.; Wets, R. J.-B.
36
1976
On the interchange of subdifferentiation and conditional expectation for convex functionals. Zbl 0487.49006
Rockafellar, R. T.; Wets, R. J. B.
36
1982
Linear-quadratic programming and optimal control. Zbl 0617.49010
Rockafellar, R. T.
35
1987
Generalized second derivatives of convex functions and saddle functions. Zbl 0712.49011
Rockafellar, R. T.
33
1990
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
33
2015
Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010
Poliquin, R. A.; Rockafellar, R. T.
32
1996
Convex functions on convex polytopes. Zbl 0246.26009
Gale, David; Klee, Victor; Rockafellar, R. T.
31
1968
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.
30
1978
Generalized Hamiltonian equations for convex problems of Lagrange. Zbl 0199.43002
Rockafellar, R. T.
30
1970
Computational schemes for large-scale problems in extended linear- quadratic programming. Zbl 0735.90050
Rockafellar, R. T.
29
1990
Saddle-points and convex analysis. Zbl 0242.90044
Rockafellar, Tyrrell
28
1971
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
27
1996
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
27
2010
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
Stochastic convex programming: basic duality. Zbl 0339.90048
Rockafellar, R. T.; Wets, R. J.-B.
27
1976
On the virtual convexity of the domain and range of a nonlinear maximal monotone operator. Zbl 0181.42202
Rockafellar, R. T.
27
1970
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
26
1997
Generalizations of the proximal method of multipliers in convex optimization. Zbl 1536.90153
Rockafellar, R. Tyrrell
1
2024
Generalized Nash equilibrium from a robustness perspective in variational analysis. Zbl 1546.49048
Rockafellar, R. Tyrrell
1
2024
Primal-dual stability in local optimality. Zbl 07950115
Benko, Matúš; Rockafellar, R. Tyrrell
1
2024
Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality. Zbl 1512.90239
Rockafellar, R. Tyrrell
21
2023
Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming. Zbl 07681257
Rockafellar, R. Tyrrell
10
2023
Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm. Zbl 1539.90138
Rockafellar, R. Tyrrell
3
2023
Advances in convergence and scope of the proximal point algorithm. Zbl 1481.65094
Rockafellar, R. Tyrrell
9
2021
Characterizing firm nonexpansiveness of prox mappings both locally and globally. Zbl 1490.46072
Rockafellar, R. Tyrrell
3
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
Solving Lagrangian variational inequalities with applications to stochastic programming. Zbl 1445.90069
Rockafellar, R. Tyrrell; Sun, Jie
19
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
52
2019
Variational convexity and the local monotonicity of subgradient mappings. Zbl 1428.49021
Rockafellar, R. Tyrrell
14
2019
Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007
Rockafellar, R. Tyrrell
13
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
14
2018
Superquantile/CVaR risk measures: second-order theory. Zbl 1391.91163
Rockafellar, R. Tyrrell; Royset, Johannes O.
12
2018
Variational analysis of Nash equilibrium. Zbl 1407.91022
Rockafellar, R. Tyrrell
5
2018
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
66
2017
General economic equilibrium with financial markets and retainability. Zbl 1405.91742
Jofré, A.; Rockafellar, R. T.; Wets, R. J-B.
10
2017
Progressive decoupling of linkages in monotone variational inequalities and convex optimization. Zbl 07944033
Rockafellar, R. Tyrrell
6
2017
Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Zbl 1355.00026
4
2016
Preface. Zbl 1356.00067
1
2016
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
33
2015
Measures of residual risk with connections to regression, risk tracking, surrogate models, and ambiguity. Zbl 1316.91016
Rockafellar, R. Tyrrell; Royset, Johannes O.
19
2015
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
253
2014
Random variables, monotone relations, and convex analysis. Zbl 1330.60009
Rockafellar, R. T.; Royset, J. O.
23
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.
44
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.
10
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.
83
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.
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
360
2009
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
51
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
22
2008
Local strong convexity and local Lipschitz continuity of the gradient of convex functions. Zbl 1149.26022
Goebel, Rafal; Rockafellar, Ralph Tyrrell
13
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.
48
2007
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
191
2006
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
60
2006
Nonsmooth mechanics and analysis. Theoretical and numerical advances. Zbl 1110.74006
16
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.
19
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
18
2004
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
99
2003
A property of piecewise smooth functions. Zbl 1042.90045
Rockafellar, R. T.
18
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.
244
2000
Stability of locally optimal solutions. Zbl 0965.49018
Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T.
65
2000
Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018
Rockafellar, R. Tyrrell; Wolenski, Peter R.
26
2000
Second-order convex analysis. Zbl 0960.49017
Rockafellar, R. Tyrrell
16
2000
Extended nonlinear programming. Zbl 0986.90057
Rockafellar, R. Tyrrell
13
2000
Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019
Rockafellar, R. Tyrrell; Wolenski, Peter R.
13
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.
10
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.
95
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.
129
1997
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
38
1997
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
26
1997
Bolza problems with general time constraints. Zbl 0904.49014
Loewen, P. D.; Rockafellar, R. T.
21
1997
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
155
1996
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
147
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.
21
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.
7
1995
Monotone relations and network equilibrium. Zbl 0847.49012
Rockafellar, R. Tyrrell
4
1995
Optimal control of unbounded differential inclusions. Zbl 0823.49016
Loewen, Philip D.; Rockafellar, R. T.
51
1994
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
37
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.
4
1994
Lagrange multipliers and optimality. Zbl 0779.49024
Rockafellar, R. Tyrrell
144
1993
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
74
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.
13
1993
Dualization of subgradient conditions for optimality. Zbl 0786.49012
Rockafellar, R. T.
11
1993
Subgradients and variational analysis. Zbl 0889.49011
Rockafellar, R. T.
9
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.
24
1992
Amenable functions in optimization. Zbl 1050.49513
Poliquin, R. A.; Rockafellar, R. T.
21
1992
...and 124 more Documents
all top 5

Cited by 15,124 Authors

166 Yao, Jen-Chih
145 Mordukhovich, Boris S.
95 Kumam, Poom
83 Zhang, Liwei
82 Thibault, Lionel
78 Yang, Xiaoqi
77 Rockafellar, Ralph Tyrrell
74 Bauschke, Heinz H.
74 Boţ, Radu Ioan
71 López-Cerdá, Marco Antonio
69 Penot, Jean-Paul
67 Wang, Shawn Xianfu
64 Borwein, Jonathan Michael
61 Ceng, Lu-Chuan
61 Yuan, Xiaoming
56 Martínez-Legaz, Juan-Enrique
56 Nguyen Dong Yen
54 Mewomo, Oluwatosin Temitope
54 Noor, Muhammad Aslam
53 Iusem, Alfredo Noel
52 Adly, Samir
52 Jeyakumar, Vaithilingam
50 Goberna, Miguel Angel
49 Reich, Simeon
49 Théra, Michel A.
48 Cho, Yeol Je
48 Toh, Kim Chuan
47 Sun, Defeng
46 Flåm, Sjur Didrik
46 Outrata, Jiří V.
46 Thai Doan Chuong
45 Cholamjiak, Prasit
45 Seeger, Alberto
45 Shehu, Yekini
44 Ye, Jane J.
43 Han, Deren
43 Hantoute, Abderrahim
43 Kruger, Alexander Y.
43 Wets, Roger Jean-Baptiste
42 Ioffe, Alexander Davidovich
42 Lewis, Adrian S.
42 Wen, Chingfeng
41 Mahmudov, Elimhan Nadir
41 Pham Dinh Tao
41 Sun, Jie
40 Papageorgiou, Nikolaos S.
39 Jourani, Abderrahim
39 Li, Guoyin
38 Pang, Liping
38 Teboulle, Marc
37 Attouch, Hedy
37 Izuchukwu, Chinedu
37 Le Thi, Hoai An
37 Parra, Juan
36 Ansari, Qamrul Hasan
36 Cánovas, María Josefa
36 Dempe, Stephan
36 Li, Shengjie
36 Nam, Nguyen Mau
36 Pan, Shaohua
36 Shapiro, Alexander
35 Chen, Xiaojun
35 He, Bingsheng
35 Pang, Jong-Shi
34 Burke, James V.
34 Csetnek, Ernö Robert
34 Kanzow, Christian
34 Trương Minh Tuyên
34 Volle, Michel
33 Dontchev, Asen L.
33 Pong, Ting Kei
32 Combettes, Patrick L.
32 Drusvyatskiy, Dmitriy
32 Qi, Liqun
32 Ruszczyński, Andrzej
31 Correa, Rafael Augusto Couceiro
31 Daniilidis, Aris
31 Frankowska, Hélène
31 Kim, Do Sang
31 Qin, Xiaolong
31 Svaiter, Benar Fux
31 Tseng, Paul
30 Lee, Gue Myung
29 Gfrerer, Helmut
29 Lara, Felipe
29 Li, Chong
29 Solodov, Mikhail V.
29 Zălinescu, Constantin
28 Arutyunov, Aram Vladimirovic
28 Benson, Harold P.
28 Dinh The Luc
28 Escudero, Laureano Fernando
28 Fang, Shu-Cherng
28 Huang, Nan-Jing
28 Pennanen, Teemu
28 Royset, Johannes O.
28 Xu, Huifu
27 Bertsekas, Dimitri Panteli
27 Clarke, Francis H.
27 Durea, Marius
...and 15,024 more Authors
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Cited in 922 Serials

1,193 Journal of Optimization Theory and Applications
736 Mathematical Programming. Series A. Series B
630 Optimization
622 Journal of Mathematical Analysis and Applications
430 SIAM Journal on Optimization
409 Journal of Global Optimization
340 European Journal of Operational Research
332 Set-Valued and Variational Analysis
324 Computational Optimization and Applications
300 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
242 Optimization Letters
213 Journal of Convex Analysis
203 Linear Algebra and its Applications
202 Annals of Operations Research
171 Automatica
169 Numerical Functional Analysis and Optimization
165 Journal of Economic Theory
164 Journal of Mathematical Economics
153 Journal of Inequalities and Applications
152 Applied Mathematics and Optimization
145 Fixed Point Theory and Applications
144 Nonlinear Analysis. Theory, Methods & Applications
139 Optimization Methods & Software
137 Journal of Computational and Applied Mathematics
136 Mathematical Programming
136 Transactions of the American Mathematical Society
126 Operations Research Letters
125 Applied Mathematics and Computation
107 Proceedings of the American Mathematical Society
102 Journal of Differential Equations
100 Abstract and Applied Analysis
96 SIAM Journal on Control and Optimization
93 Positivity
92 Mathematical Methods of Operations Research
91 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
89 Journal of Industrial and Management Optimization
88 Numerical Algorithms
84 Set-Valued Analysis
82 Applicable Analysis
81 Journal of Functional Analysis
80 Journal of Scientific Computing
79 Computers & Mathematics with Applications
70 Journal of Approximation Theory
70 Calculus of Variations and Partial Differential Equations
69 Mathematics of Operations Research
69 Systems & Control Letters
67 Computer Methods in Applied Mechanics and Engineering
66 Journal of Mathematical Imaging and Vision
64 Stochastic Processes and their Applications
62 SIAM Journal on Imaging Sciences
60 Advances in Mathematics
60 Computers & Operations Research
59 The Annals of Statistics
56 Cybernetics and Systems Analysis
56 Computational and Applied Mathematics
54 Economic Theory
53 The Annals of Applied Probability
52 Archive for Rational Mechanics and Analysis
52 Mathematical Notes
51 Annali di Matematica Pura ed Applicata. Serie Quarta
51 Games and Economic Behavior
51 Vietnam Journal of Mathematics
51 Journal of Applied Mathematics
50 Insurance Mathematics & Economics
50 Mathematical Finance
49 Journal of Multivariate Analysis
49 Journal of Fixed Point Theory and Applications
48 Fuzzy Sets and Systems
48 Journal of the Operations Research Society of China
47 Journal of Mathematical Sciences (New York)
47 Journal of Nonlinear and Variational Analysis
46 Automation and Remote Control
44 Discrete Applied Mathematics
44 Asia-Pacific Journal of Operational Research
44 Proceedings of the Steklov Institute of Mathematics
43 Siberian Mathematical Journal
42 Journal of Machine Learning Research (JMLR)
41 Mathematical and Computer Modelling
41 Electronic Journal of Statistics
40 International Journal for Numerical Methods in Engineering
40 Kybernetika
40 Numerische Mathematik
39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
39 Mathematical Problems in Engineering
39 Finance and Stochastics
39 Optimization and Engineering
37 Applied Mathematics Letters
37 Mathematics and Financial Economics
36 Bulletin of the Australian Mathematical Society
36 Inverse Problems
36 Top
35 Communications in Mathematical Physics
35 Journal of Statistical Planning and Inference
35 Journal of Applied Mathematics and Computing
34 Journal of Applied Mathematics and Mechanics
34 Mathematical Methods in the Applied Sciences
34 Statistics & Probability Letters
32 Journal of Economic Dynamics & Control
32 Nonlinear Analysis. Hybrid Systems
31 Journal of Statistical Physics
...and 822 more Serials
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Cited in 63 Fields

8,363 Operations research, mathematical programming (90-XX)
5,288 Calculus of variations and optimal control; optimization (49-XX)
2,731 Numerical analysis (65-XX)
2,366 Operator theory (47-XX)
2,075 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1,055 Systems theory; control (93-XX)
898 Probability theory and stochastic processes (60-XX)
885 Convex and discrete geometry (52-XX)
884 Statistics (62-XX)
854 Functional analysis (46-XX)
826 Real functions (26-XX)
737 Partial differential equations (35-XX)
639 Computer science (68-XX)
501 Ordinary differential equations (34-XX)
490 Mechanics of deformable solids (74-XX)
421 Linear and multilinear algebra; matrix theory (15-XX)
392 Information and communication theory, circuits (94-XX)
390 General topology (54-XX)
364 Global analysis, analysis on manifolds (58-XX)
255 Measure and integration (28-XX)
251 Approximations and expansions (41-XX)
246 Dynamical systems and ergodic theory (37-XX)
164 Differential geometry (53-XX)
161 Biology and other natural sciences (92-XX)
149 Statistical mechanics, structure of matter (82-XX)
140 Combinatorics (05-XX)
120 Algebraic geometry (14-XX)
120 Mechanics of particles and systems (70-XX)
113 Quantum theory (81-XX)
106 Fluid mechanics (76-XX)
83 Mathematical logic and foundations (03-XX)
77 Several complex variables and analytic spaces (32-XX)
56 Harmonic analysis on Euclidean spaces (42-XX)
52 Difference and functional equations (39-XX)
51 Geometry (51-XX)
50 Number theory (11-XX)
46 Functions of a complex variable (30-XX)
39 Order, lattices, ordered algebraic structures (06-XX)
38 Integral equations (45-XX)
38 Classical thermodynamics, heat transfer (80-XX)
32 Integral transforms, operational calculus (44-XX)
31 Manifolds and cell complexes (57-XX)
30 Optics, electromagnetic theory (78-XX)
26 Potential theory (31-XX)
25 Nonassociative rings and algebras (17-XX)
25 Group theory and generalizations (20-XX)
22 Commutative algebra (13-XX)
22 Topological groups, Lie groups (22-XX)
20 General and overarching topics; collections (00-XX)
20 Field theory and polynomials (12-XX)
19 History and biography (01-XX)
18 Geophysics (86-XX)
17 Algebraic topology (55-XX)
16 Sequences, series, summability (40-XX)
12 Special functions (33-XX)
11 Abstract harmonic analysis (43-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)
2 Astronomy and astrophysics (85-XX)
1 \(K\)-theory (19-XX)

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