Rockafellar, Ralph Tyrrell

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 Author ID: rockafellar.ralph-tyrrell Published as: Rockafellar, R. T.; Rockafellar, R. Tyrrell; Rockafellar, Ralph Tyrrell; Rockafellar, Tyrrell; Rockafellar, Terry; Rockafellar, R.; Rockafellar, Tyrrell R.; Rockafellar, R. Terry Homepage: https://sites.math.washington.edu/~rtr/mypage.html External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 228 Publications since 1964, including 11 Books 5 Contributions as Editor · 2 Further Contributions Biographic References: 7 Publications Co-Authors: 58 Co-Authors with 107 Joint Publications 1,596 Co-Co-Authors
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Co-Authors

 127 single-authored 27 Wets, Roger Jean-Baptiste 15 Dontchev, Asen L. 11 Poliquin, René A. 5 Jofré, Alejandro 5 Levy, Adam B. 5 Uryasev, Stan 4 Loewen, Philip D. 4 Royset, Johannes O. 3 Goebel, Rafal 3 King, Alan J. 3 Lau, Anthony To-Ming 3 Mordukhovich, Boris S. 3 Sun, Jie 3 Takahashi, Wataru 3 Tanaka, Tamaki 3 Théra, Michel A. 3 Zabarankin, Michael 2 Dermody, James Cuevas 2 Hoàng Xuân Phù 2 Huynh Van Ngai 2 Maisonneuve, Olivier 2 Patriksson, Michael 2 Wolenski, Peter R. 2 Xu, Hong-Kun 1 Adly, Samir 1 Alart, Pierre 1 Asplund, Edgar 1 Beer, Gerald Alan 1 Benavides, T. D. 1 Brøndsted, Arne 1 Chen, George H-G. 1 Eberhard, Andrew C. 1 Eve, R. A. 1 Gale, David 1 Ioffe, Alexander Davidovich 1 Kim, Do Sang 1 Klee, Victor LaRue 1 Krastanov, Mikhail Ivanov 1 Kripke, Bernard R. 1 Lewis, Adrian S. 1 Llorens-Fuster, Enrique 1 López Acedo, Genaro 1 Miranda, S. I. 1 Nghia, Tran T. A. 1 Pardalos, Panos M. 1 Pennanen, Teemu 1 Rassias, Themistocles Michael 1 Reddy, B. Dayanand 1 Sarabi, M. Ebrahim 1 Somlyódy, László 1 Spingarn, Jonathan E. 1 Thibault, Lionel 1 Tsyurmasto, Peter 1 Uryasev, Stanislav P. 1 Valadier, Michel 1 Veliov, Vladimir M. 1 Veremyev, Alexander 1 Nguyen Dong Yen 1 Zagrodny, Dariusz 1 Zhu, Ciyou
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Serials

 13 SIAM Journal on Control and Optimization 13 Mathematical Programming. Series A. Series B 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 5 Journal of Mathematical Analysis and Applications 5 Journal of Convex Analysis 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
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Fields

 143 Operations research, mathematical programming (90-XX) 126 Calculus of variations and optimal control; optimization (49-XX) 23 Real functions (26-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Operator theory (47-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Numerical analysis (65-XX) 15 Systems theory; control (93-XX) 8 Functional analysis (46-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 Measure and integration (28-XX) 6 General topology (54-XX) 5 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

209 Publications have been cited 18,747 times in 13,401 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
On the maximality of sums of nonlinear monotone operators. Zbl 0222.47017
Rockafellar, R. T.
1970
Convex functions, monotone operators and variational inequalities. Zbl 0202.14303
Rockafellar, R. T.
1970
Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Zbl 0402.90076
Rockafellar, R. T.
1976
State constraints in convex control problems of Bolza. Zbl 0224.49003
Rockafellar, R. T.
1972
On the maximal monotonicity of subdifferential mappings. Zbl 0199.47101
Rockafellar, R. T.
1970
Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067
Rockafellar, R. T.; Wets, Roger J.-B.
1991
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
2009
Conjugate duality and optimization. Zbl 0296.90036
Rockafellar, R. Tyrrell
1974
Local differentiability of distance functions. Zbl 0960.49018
Poliquin, R. A.; Rockafellar, R. T.; Thibault, L.
2000
Generalized directional derivatives and subgradients of nonconvex functions. Zbl 0447.49009
Rockafellar, R. T.
1980
Characterization of the subdifferentials of convex functions. Zbl 0145.15901
Rockafellar, R. T.
1966
Integrals which are convex functionals. Zbl 0159.43804
Rockafellar, R. T.
1968
Network flows and monotropic optimization. Zbl 0596.90055
Rockafellar, R. T.
1984
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
2006
Directionally Lipschitzian functions and subdifferential calculus. Zbl 0413.49015
Rockafellar, R. T.
1979
Integrals which are convex functionals. II. Zbl 0236.46031
Rockafellar, R. T.
1971
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
1996
On the subdifferentiability of convex functions. Zbl 0141.11801
Brøndsted, Arne; Rockafellar, R. T.
1965
The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Zbl 0462.90052
Rockafellar, R. T.
1981
Augmented Lagrange multiplier functions and duality in nonconvex programming. Zbl 0257.90046
Rockafellar, R. Tyrrell
1974
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
2014
The multiplier method of Hestenes and Powell applied to convex programming. Zbl 0254.90045
Rockafellar, R. T.
1973
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
1996
Clarke’s tangent cones and the boundaries of closed sets in $$\mathbb{R}^n$$. Zbl 0443.26010
Rockafellar, R. T.
1979
Lagrange multipliers and optimality. Zbl 0779.49024
Rockafellar, R. Tyrrell
1993
Convex functions and duality in optimization problems and dynamics. Zbl 0186.23901
Rockafellar, R. T.
1969
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
2004
Lipschitzian properties of multifunctions. Zbl 0573.54011
Rockafellar, R. Tyrrell
1985
A dual approach to solving nonlinear programming problems by unconstrained optimization. Zbl 0279.90035
Rockafellar, R. Tyrrell
1973
Duality and stability in extremum problems involving convex functions. Zbl 0154.44902
Rockafellar, R. T.
1967
Local boundedness of nonlinear, monotone operators. Zbl 0175.45002
Rockafellar, R. T.
1969
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
2003
Extension of Fenchel’s duality theorem for convex functions. Zbl 0138.09301
Rockafellar, R. T.
1966
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
1997
First- and second-order epi-differentiability in nonlinear programming. Zbl 0655.49010
Rockafellar, R. T.
1988
Integral functionals, normal integrands and measurable selections. Zbl 0374.49001
Rockafellar, Tyrrell
1976
Measurable dependence of convex sets and functions on parameters. Zbl 0202.33804
Rockafellar, R. T.
1969
Tilt stability of a local minimum. Zbl 0918.49016
Poliquin, R. A.; Rockafellar, R. T.
1998
Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082
Rockafellar, R. T.
1989
Conjugate convex functions in optimal control and the calculus of variations. Zbl 0218.49004
Rockafellar, R. T.
1970
Level sets and continuity of conjugate convex functions. Zbl 0145.15802
Rockafellar, R. T.
1966
Gradients of convex functions. Zbl 0181.41901
Asplund, E.; Rockafellar, R. T.
1969
Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022
Mordukhovich, B. S.; Rockafellar, R. T.
2012
Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives. Zbl 0698.90070
Rockafellar, R. Tyrrell
1989
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
1993
Stability of locally optimal solutions. Zbl 0965.49018
Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T.
2000
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
2006
Proximal subgradients, marginal values, and augmented Lagrangians in nonconvex optimization. Zbl 0492.90073
Rockafellar, R. T.
1981
Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate. Zbl 0333.90007
Rockafellar, R. Tyrrell
1976
Extensions of subgradient calculus with applications to optimization. Zbl 0593.49013
Rockafellar, R. T.
1985
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012
Rockafellar, R. Tyrrell
1996
Monotone processes of convex and concave type. Zbl 0189.19602
Rockafellar, R. Tyrrell
1967
Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming. Zbl 0478.90060
Rockafellar, R. T.
1982
Existence theorems for general control problems of Bolza and Lagrange. Zbl 0319.49001
Rockafellar, Tyrrell R.
1975
Convex integral functionals and duality. Zbl 0326.49008
Rockafellar, R. T.
1974
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
2009
Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075
King, Alan J.; Rockafellar, R. Tyrrell
1992
Convex analysis. (Vypuklyi analiz.) Übersetzung aus dem Englischen von A. D. Ioffe und V. M. Tihomirov. Zbl 0251.90035
Rockafellar, R. Tyrrell
1973
A Lagrangian finite generation technique for solving linear-quadratic problems in stochastic programming. Zbl 0599.90090
Rockafellar, R. T.; Wets, R. J.-B.
1986
Existence and duality theorems for convex problems of Bolza. Zbl 0255.49007
Rockafellar, R. T.
1971
Maximal monotone relations and the second derivatives of nonsmooth functions. Zbl 0581.49009
Rockafellar, R. T.
1985
Favorable classes of Lipschitz-continuous functions in subgradient optimization. Zbl 0511.26009
Rockafellar, R. Tyrrell
1982
Optimal control of unbounded differential inclusions. Zbl 0823.49016
Loewen, Philip D.; Rockafellar, R. T.
1994
Saddle points of Hamiltonian systems in convex problems of Lagrange. Zbl 0248.49016
Rockafellar, R. T.
1973
Directional differentiability of the optimal value function in a nonlinear programming problem. Zbl 0546.90088
Rockafellar, R. T.
1984
Variational inequalities and economic equilibrium. Zbl 1276.91070
Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B.
2007
Generalized linear-quadratic problems of deterministic and stochastic optimal control in discrete time. Zbl 0714.49036
Rockafellar, R. T.; Wets, R. J.-B.
1990
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
1997
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
2017
Characterizations of full stability in constrained optimization. Zbl 1284.49032
Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E.
2013
Linear-quadratic programming and optimal control. Zbl 0617.49010
Rockafellar, R. T.
1987
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
1994
Stochastic convex programming: Relatively complete recourse and induced feasibility. Zbl 0346.90058
Rockafellar, R. T.; Wets, R. J.-B.
1976
Computational schemes for large-scale problems in extended linear- quadratic programming. Zbl 0735.90050
Rockafellar, R. T.
1990
Generalized Hamiltonian equations for convex problems of Lagrange. Zbl 0199.43002
Rockafellar, R. T.
1970
Generalized second derivatives of convex functions and saddle functions. Zbl 0712.49011
Rockafellar, R. T.
1990
The optimal recourse problem in discrete time: $$L^1$$-multipliers for inequality constraints. Zbl 0397.90078
Rockafellar, R. T.; Wets, R. J-B.
1978
On the interchange of subdifferentiation and conditional expectation for convex functionals. Zbl 0487.49006
Rockafellar, R. T.; Wets, R. J. B.
1982
A general correspondence between dual minimax problems and convex programs. Zbl 0162.23103
Rockafellar, R. T.
1968
Some convex programs whose duals are linearly constrained. Zbl 0252.90046
Rockafellar, R. Tyrrell
1970
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
2015
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
2019
Stochastic convex programming: basic duality. Zbl 0339.90048
Rockafellar, R. T.; Wets, R. J.-B.
1976
Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010
Poliquin, R. A.; Rockafellar, R. T.
1996
Conditional value-at-risk: optimization approach. Zbl 0989.91052
Uryasev, Stanislav; Rockafellar, R. Tyrrell
2001
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
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.
1990
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
2010
Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018
Rockafellar, R. Tyrrell; Wolenski, Peter R.
2000
Second derivatives in convex analysis. Zbl 1003.49017
Rockafellar, R. T.
1999
On the virtual convexity of the domain and range of a nonlinear maximal monotone operator. Zbl 0181.42202
Rockafellar, R. T.
1970
Convex functions on convex polytopes. Zbl 0246.26009
Gale, David; Klee, Victor; Rockafellar, R. T.
1968
A characterization of epi-convergence in terms of convergence of level sets. Zbl 0769.49011
Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B.
1992
Amenable functions in optimization. Zbl 1050.49513
Poliquin, R. A.; Rockafellar, R. T.
1992
The adjoint arc in nonsmooth optimization. Zbl 0734.49009
Loewen, Philip D.; Rockafellar, R. T.
1991
Solving Lagrangian variational inequalities with applications to stochastic programming. Zbl 1445.90069
Rockafellar, R. Tyrrell; Sun, Jie
2020
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
2019
Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007
Rockafellar, R. Tyrrell
2019
Variational convexity and the local monotonicity of subgradient mappings. Zbl 1428.49021
Rockafellar, R. Tyrrell
2019
Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027
Rockafellar, R. Tyrrell
2018
Superquantile/CVaR risk measures: second-order theory. Zbl 1391.91163
Rockafellar, R. Tyrrell; Royset, Johannes O.
2018
Variational analysis of Nash equilibrium. Zbl 1407.91022
Rockafellar, R. Tyrrell
2018
Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010
Rockafellar, R. Tyrrell; Wets, Roger J-B
2017
General economic equilibrium with financial markets and retainability. Zbl 1405.91742
Jofré, A.; Rockafellar, R. T.; Wets, R. J-B.
2017
Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Zbl 1355.00026
2016
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
2015
Measures of residual risk with connections to regression, risk tracking, surrogate models, and ambiguity. Zbl 1316.91016
Rockafellar, R. Tyrrell; Royset, Johannes O.
2015
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
2014
Random variables, monotone relations, and convex analysis. Zbl 1330.60009
Rockafellar, R. T.; Royset, J. O.
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.
2014
Convex analysis and financial equilibrium. Zbl 1309.91086
Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B.
2014
Characterizations of full stability in constrained optimization. Zbl 1284.49032
Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E.
2013
Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047
Dontchev, A. L.; Rockafellar, R. T.
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.
2013
Applications of convex variational analysis to Nash equilibrium. Zbl 1440.49022
Rockafellar, R. T.
2013
Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022
Mordukhovich, B. S.; Rockafellar, R. T.
2012
Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021
Dontchev, Asen L.; Rockafellar, Ralph Tyrrell
2012
A time-embedded approach to economic equilibrium with incomplete financial markets. Zbl 1216.91041
Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B.
2011
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
2010
A calculus of prox-regularity. Zbl 1194.49049
Poliquin, R. A.; Rockafellar, R. T.
2010
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
2009
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
2009
Hamiltonian trajectories and saddle points in mathematical economics. Zbl 1235.91131
Rockafellar, R.
2009
Risk tuning with generalized linear regression. Zbl 1218.90158
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
2008
Local strong convexity and local Lipschitz continuity of the gradient of convex functions. Zbl 1149.26022
Goebel, Rafal; Rockafellar, Ralph Tyrrell
2008
Linear-convex control and duality. Zbl 1206.49036
Rockafellar, R. T.; Goebel, R.
2008
Variational inequalities and economic equilibrium. Zbl 1276.91070
Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B.
2007
Generalized deviations in risk analysis. Zbl 1150.90006
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
2006
Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474
Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael
2006
Nonsmooth mechanics and analysis. Theoretical and numerical advances. Zbl 1110.74006
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.
2005
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
2004
Hamilton-Jacobi theory and parametric analysis in fully convex problems of optimal control. Zbl 1083.49022
Rockafellar, R. Tyrrell
2004
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
2003
A property of piecewise smooth functions. Zbl 1042.90045
Rockafellar, R. T.
2003
A mathematical model and descent algorithm for bilevel traffic management. Zbl 1134.90319
Patriksson, Michael; Rockafellar, R. Tyrrell
2002
Generalized conjugacy in Hamilton-Jacobi theory for fully convex Lagrangians. Zbl 1023.49023
Goebel, Rafal; Rockafellar, R. T.
2002
Graphical convergence of sums of monotone mappings. Zbl 1010.47031
Pennanen, T.; Rockafellar, R. T.; Théra, M.
2002
Conditional value-at-risk: optimization approach. Zbl 0989.91052
Uryasev, Stanislav; Rockafellar, R. Tyrrell
2001
Ample parameterization of variational inclusions. Zbl 1008.49009
Dontchev, A. L.; Rockafellar, R. T.
2001
Convex analysis in the calculus of variations. Zbl 1011.49013
Rockafellar, R. T.
2001
Primal-dual solution perturbations in convex optimization. Zbl 0984.90043
Dontchev, A. L.; Rockafellar, R. T.
2001
Local differentiability of distance functions. Zbl 0960.49018
Poliquin, R. A.; Rockafellar, R. T.; Thibault, L.
2000
Stability of locally optimal solutions. Zbl 0965.49018
Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T.
2000
Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018
Rockafellar, R. Tyrrell; Wolenski, Peter R.
2000
Second-order convex analysis. Zbl 0960.49017
Rockafellar, R. Tyrrell
2000
Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019
Rockafellar, R. Tyrrell; Wolenski, Peter R.
2000
Extended nonlinear programming. Zbl 0986.90057
Rockafellar, R. Tyrrell
2000
Second derivatives in convex analysis. Zbl 1003.49017
Rockafellar, R. T.
1999
Duality and optimality in multistage stochastic programming. Zbl 0920.90113
Rockafellar, R. T.
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.
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.
1997
A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014
Rockafellar, R. T.; Zagrodny, D.
1997
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
1997
Bolza problems with general time constraints. Zbl 0904.49014
Loewen, P. D.; Rockafellar, R. T.
1997
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
1996
Prox-regular functions in variational analysis. Zbl 0861.49015
Poliquin, R. A.; Rockafellar, R. T.
1996
Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012
Rockafellar, R. Tyrrell
1996
Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010
Poliquin, R. A.; Rockafellar, R. T.
1996
The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015
Ioffe, A. D.; Rockafellar, R. T.
1996
New necessary conditions for the generalized problem of Bolza. Zbl 0871.49023
Loewen, P. D.; Rockafellar, R. T.
1996
Variational conditions and the proto-differentiation of partial subgradient mappings. Zbl 0858.49014
Levy, A. B.; Rockafellar, R. T.
1996
Second-order nonsmooth analysis in nonlinear programming. Zbl 0939.90022
Poliquin, René; Rockafellar, Terry
1995
Tax basis and nonlinearity in cash stream valuation. Zbl 0866.90013
Dermody, Jaime Cuevas; Rockafellar, R. Tyrrell
1995
Sensitivity of solutions in nonlinear programming problems with nonunique multipliers. Zbl 0945.90066
Levy, A. B.; Rockafellar, R. T.
1995
Monotone relations and network equilibrium. Zbl 0847.49012
Rockafellar, R. Tyrrell
1995
Optimal control of unbounded differential inclusions. Zbl 0823.49016
Loewen, Philip D.; Rockafellar, R. T.
1994
Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077
Levy, A. B.; Rockafellar, R. T.
1994
Proto-derivative formulas for basic subgradient mappings in mathematical programming. Zbl 0813.49019
Poliquin, R. A.; Rockafellar, R. T.
1994
A finite simplex-active-set method for monotropic piecewise quadratic programming. Zbl 0828.90102
Rockafellar, R. T.; Sun, J.
1994
Lagrange multipliers and optimality. Zbl 0779.49024
Rockafellar, R. Tyrrell
1993
Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115
King, Alan J.; Rockafellar, Tyrrell
1993
Zhu, Ciyou; Rockafellar, R. T.
1993
A calculus of epi-derivatives applicable to optimization. Zbl 0803.90113
Poliquin, R. A.; Rockafellar, R. T.
1993
Dualization of subgradient conditions for optimality. Zbl 0786.49012
Rockafellar, R. T.
1993
Subgradients and variational analysis. Zbl 0889.49011
Rockafellar, R. T.
1993
Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075
King, Alan J.; Rockafellar, R. Tyrrell
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.
1992
Amenable functions in optimization. Zbl 1050.49513
Poliquin, R. A.; Rockafellar, R. T.
1992
Cosmic convergence. Zbl 0793.49007
Rockafellar, R. T.; Wets, R. J.-B.
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.
1992
Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067
Rockafellar, R. T.; Wets, Roger J.-B.
1991
The adjoint arc in nonsmooth optimization. Zbl 0734.49009
Loewen, Philip D.; Rockafellar, R. T.
1991
Cash stream valuation in the face of transaction costs and taxes. Zbl 0900.90110
Dermody, Jaime Cuevas; Rockafellar, R. Tyrrell
1991
Large-scale extended linear-quadratic programming and multistage optimization. Zbl 0743.90086
Rockafellar, R. T.
1991
On a special class of convex functions. Zbl 0795.49015
Rockafellar, R. T.
1991
Generalized linear-quadratic problems of deterministic and stochastic optimal control in discrete time. Zbl 0714.49036
Rockafellar, R. T.; Wets, R. J.-B.
1990
Computational schemes for large-scale problems in extended linear- quadratic programming. Zbl 0735.90050
Rockafellar, R. T.
1990
Generalized second derivatives of convex functions and saddle functions. Zbl 0712.49011
Rockafellar, R. T.
1990
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.
1990
Nonsmooth analysis and parametric optimization. Zbl 0723.49011
Rockafellar, R. T.
1990
Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082
Rockafellar, R. T.
1989
Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives. Zbl 0698.90070
Rockafellar, R. Tyrrell
1989
...and 109 more Documents
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Cited by 11,636 Authors

 132 Yao, Jen-Chih 117 Mordukhovich, Boris S. 75 Kumam, Poom 70 Thibault, Lionel 67 Rockafellar, Ralph Tyrrell 67 Yang, Xiaoqi 67 Zhang, Liwei 64 Penot, Jean-Paul 63 Bauschke, Heinz H. 62 López-Cerdá, Marco Antonio 60 Borwein, Jonathan Michael 60 Ceng, Lu-Chuan 59 Boţ, Radu Ioan 53 Yuan, Xiaoming 51 Noor, Muhammad Aslam 49 Wang, Shawn Xianfu 46 Goberna, Miguel Angel 46 Jeyakumar, Vaithilingam 44 Martínez-Legaz, Juan-Enrique 43 Flåm, Sjur Didrik 43 Outrata, Jiří V. 41 Iusem, Alfredo Noel 40 Wets, Roger Jean-Baptiste 40 Nguyen Dong Yen 39 Adly, Samir 39 Cho, Yeol Je 39 Hantoute, Abderrahim 38 Ioffe, Alexander Davidovich 38 Pham Dinh Tao 37 Papageorgiou, Nikolaos S. 36 Lewis, Adrian S. 36 Seeger, Alberto 36 Théra, Michel A. 35 Kruger, Alexander Ya. 35 Sun, Defeng 35 Wen, Chingfeng 34 Toh, Kim Chuan 33 Sun, Jie 33 Teboulle, Marc 32 Attouch, Hedy 32 Chuong, Thai Doan 32 Le Thi, Hoai An 32 Reich, Simeon 32 Shapiro, Alexander 31 Qi, Liqun 30 Cholamjiak, Prasit 30 Dontchev, Asen L. 30 He, Bingsheng 30 Volle, Michel 29 Cánovas, María Josefa 29 Mahmudov, Elimhan Nadir 29 Parra, Juan 29 Shehu, Yekini 29 Svaiter, Benar Fux 29 Ye, Jane J. 28 Benson, Harold P. 28 Dempe, Stephan 28 Frankowska, Hélène 28 Han, Deren 28 Pang, Liping 28 Tseng, Paul 27 Ansari, Qamrul Hasan 27 Bertsekas, Dimitri Panteli 27 Clarke, Francis H. 27 Daniilidis, Aris 27 Dinh The Luc 27 Escudero, Laureano Fernando 27 Fang, Shu-Cherng 27 Lee, Gue Myung 27 Li, Guoyin 27 Mewomo, Oluwatosin Temitope 27 Pang, Jong-Shi 27 Ruszczyński, Andrzej 27 Solodov, Mikhail V. 27 Zălinescu, Constantin 26 Burke, James V. 26 Chen, Xiaojun 26 Correa, Rafael 26 Kim, Do Sang 26 Nam, Nguyen Mau 25 Csetnek, Ernö Robert 25 Pennanen, Teemu 25 Qin, Xiaolong 25 Takahashi, Wataru 24 Jefferson, Thomas R. 24 Kurzhanskiĭ, Aleksandr Borisovich 24 Martínez, José Mario 24 Panagiotopoulos, Panagiotis D. 24 Scott, Carlton H. 24 Wanka, Gert 24 Zheng, Xiyin 23 Durea, Marius 23 Henrion, René 23 Jourani, Abderrahim 23 Li, Chong 23 Oliveira, Paulo Roberto 23 Pan, Shaohua 23 Suantai, Suthep 23 Verma, Ram U. 23 Xu, Huifu ...and 11,536 more Authors
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Cited in 798 Serials

 1,038 Journal of Optimization Theory and Applications 623 Mathematical Programming. Series A. Series B 570 Journal of Mathematical Analysis and Applications 458 Optimization 315 Journal of Global Optimization 306 European Journal of Operational Research 280 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 269 SIAM Journal on Optimization 246 Set-Valued and Variational Analysis 237 Computational Optimization and Applications 195 Optimization Letters 185 Linear Algebra and its Applications 166 Annals of Operations Research 150 Numerical Functional Analysis and Optimization 142 Journal of Economic Theory 141 Journal of Mathematical Economics 141 Fixed Point Theory and Applications 137 Journal of Inequalities and Applications 136 Mathematical Programming 133 Nonlinear Analysis. Theory, Methods & Applications 130 Transactions of the American Mathematical Society 119 Automatica 115 Applied Mathematics and Computation 114 Applied Mathematics and Optimization 104 Journal of Computational and Applied Mathematics 103 Optimization Methods & Software 102 Proceedings of the American Mathematical Society 99 Operations Research Letters 96 Journal of Differential Equations 96 Abstract and Applied Analysis 86 Set-Valued Analysis 82 Journal of Convex Analysis 72 Mathematical Methods of Operations Research 70 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 68 Journal of Functional Analysis 65 Journal of Approximation Theory 65 Positivity 64 Computers & Mathematics with Applications 60 Applicable Analysis 59 Numerical Algorithms 57 Computer Methods in Applied Mechanics and Engineering 56 SIAM Journal on Control and Optimization 55 Systems & Control Letters 54 Journal of Mathematical Imaging and Vision 52 Stochastic Processes and their Applications 52 Calculus of Variations and Partial Differential Equations 52 Journal of Industrial and Management Optimization 51 Computers & Operations Research 51 Journal of Scientific Computing 50 The Annals of Statistics 49 Mathematical Notes 48 Archive for Rational Mechanics and Analysis 47 Journal of Applied Mathematics 46 The Annals of Applied Probability 46 Games and Economic Behavior 45 Advances in Mathematics 44 Journal of Fixed Point Theory and Applications 43 Mathematics of Operations Research 43 Economic Theory 42 Annali di Matematica Pura ed Applicata. Serie Quarta 41 Fuzzy Sets and Systems 41 Siberian Mathematical Journal 40 Cybernetics and Systems Analysis 40 Journal of Mathematical Sciences (New York) 39 Insurance Mathematics & Economics 39 Proceedings of the Steklov Institute of Mathematics 38 Discrete Applied Mathematics 38 Kybernetika 38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 38 Mathematical and Computer Modelling 37 Automation and Remote Control 36 Journal of Multivariate Analysis 36 Mathematical Problems in Engineering 36 Finance and Stochastics 36 SIAM Journal on Imaging Sciences 35 Top 34 Mathematical Finance 34 Vietnam Journal of Mathematics 34 Journal of the Operations Research Society of China 33 Bulletin of the Australian Mathematical Society 33 Numerische Mathematik 31 International Journal for Numerical Methods in Engineering 31 Journal of Statistical Planning and Inference 31 Cybernetics 30 Journal of Economic Dynamics & Control 29 International Journal of Systems Science 29 Mathematics and Financial Economics 29 Electronic Journal of Statistics 28 Optimization and Engineering 27 Statistics & Probability Letters 27 Acta Mathematicae Applicatae Sinica. English Series 27 Asia-Pacific Journal of Operational Research 26 The Annals of Probability 26 Applied Mathematics Letters 26 Journal of Applied Mathematics and Computing 25 Communications in Mathematical Physics 25 International Journal of Control 25 Nonlinear Analysis. Hybrid Systems 24 Computational and Applied Mathematics 23 Journal of the Franklin Institute ...and 698 more Serials
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Cited in 63 Fields

 6,423 Operations research, mathematical programming (90-XX) 4,178 Calculus of variations and optimal control; optimization (49-XX) 1,986 Numerical analysis (65-XX) 1,849 Operator theory (47-XX) 1,612 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 803 Systems theory; control (93-XX) 657 Probability theory and stochastic processes (60-XX) 654 Functional analysis (46-XX) 653 Convex and discrete geometry (52-XX) 622 Statistics (62-XX) 609 Real functions (26-XX) 542 Partial differential equations (35-XX) 432 Computer science (68-XX) 405 Ordinary differential equations (34-XX) 386 Mechanics of deformable solids (74-XX) 328 Linear and multilinear algebra; matrix theory (15-XX) 306 General topology (54-XX) 300 Global analysis, analysis on manifolds (58-XX) 282 Information and communication theory, circuits (94-XX) 208 Approximations and expansions (41-XX) 207 Measure and integration (28-XX) 173 Dynamical systems and ergodic theory (37-XX) 119 Biology and other natural sciences (92-XX) 100 Statistical mechanics, structure of matter (82-XX) 99 Differential geometry (53-XX) 97 Combinatorics (05-XX) 97 Mechanics of particles and systems (70-XX) 84 Algebraic geometry (14-XX) 83 Quantum theory (81-XX) 67 Fluid mechanics (76-XX) 61 Mathematical logic and foundations (03-XX) 55 Several complex variables and analytic spaces (32-XX) 43 Number theory (11-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 38 Difference and functional equations (39-XX) 36 Geometry (51-XX) 34 Functions of a complex variable (30-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 27 Integral transforms, operational calculus (44-XX) 27 Integral equations (45-XX) 26 Classical thermodynamics, heat transfer (80-XX) 24 Optics, electromagnetic theory (78-XX) 21 Nonassociative rings and algebras (17-XX) 20 Manifolds and cell complexes (57-XX) 18 Group theory and generalizations (20-XX) 16 History and biography (01-XX) 16 Topological groups, Lie groups (22-XX) 16 Potential theory (31-XX) 15 General and overarching topics; collections (00-XX) 14 Field theory and polynomials (12-XX) 14 Geophysics (86-XX) 11 Algebraic topology (55-XX) 10 Commutative algebra (13-XX) 10 Abstract harmonic analysis (43-XX) 9 Special functions (33-XX) 9 Sequences, series, summability (40-XX) 8 Associative rings and algebras (16-XX) 5 Relativity and gravitational theory (83-XX) 4 Category theory; homological algebra (18-XX) 2 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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