Rockafellar, R. Tyrrell 1935
Overview
Works:  62 works in 278 publications in 5 languages and 5,026 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree 
Classifications:  QA402.5, 517.52 
Publication Timeline
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Most widely held works by
R. Tyrrell Rockafellar
Convex analysis by
R. Tyrrell Rockafellar(
Book
)
52 editions published between 1969 and 1999 in 3 languages and held by 948 WorldCat member libraries worldwide
PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLEFUNCTIONS AND MINIMAX THEORY; 33. SaddleFunctions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddlefunctions; 36. Minimax Problems; 37. Conjugate Saddlefunctions and Minimax Theorems; PART VIII: CONVEX ALGEBRA
52 editions published between 1969 and 1999 in 3 languages and held by 948 WorldCat member libraries worldwide
PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLEFUNCTIONS AND MINIMAX THEORY; 33. SaddleFunctions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddlefunctions; 36. Minimax Problems; 37. Conjugate Saddlefunctions and Minimax Theorems; PART VIII: CONVEX ALGEBRA
Network flows and monotropic optimization by
R. Tyrrell Rockafellar(
Book
)
14 editions published between 1984 and 1998 in English and held by 507 WorldCat member libraries worldwide
14 editions published between 1984 and 1998 in English and held by 507 WorldCat member libraries worldwide
Variational analysis by
R. Tyrrell Rockafellar(
Book
)
33 editions published between 1997 and 2013 in English and German and held by 470 WorldCat member libraries worldwide
From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex ana
33 editions published between 1997 and 2013 in English and German and held by 470 WorldCat member libraries worldwide
From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex ana
Conjugate duality and optimization by
R. Tyrrell Rockafellar(
Book
)
26 editions published between 1973 and 1989 in English and German and held by 363 WorldCat member libraries worldwide
The theory of duality in problems of optimization is developed in a setting of finite and infinite dimensional spaces using convex analysis. Applications to convex and nonconvex problems. Expository account containing many new results. (Author)
26 editions published between 1973 and 1989 in English and German and held by 363 WorldCat member libraries worldwide
The theory of duality in problems of optimization is developed in a setting of finite and infinite dimensional spaces using convex analysis. Applications to convex and nonconvex problems. Expository account containing many new results. (Author)
The theory of subgradients and its applications to problems of optimization : convex and nonconvex functions by
R. Tyrrell Rockafellar(
Book
)
17 editions published between 1978 and 1981 in 3 languages and held by 306 WorldCat member libraries worldwide
17 editions published between 1978 and 1981 in 3 languages and held by 306 WorldCat member libraries worldwide
Monotone processes of convex and concave type by
R. Tyrrell Rockafellar(
Book
)
13 editions published in 1967 in English and Italian and held by 196 WorldCat member libraries worldwide
13 editions published in 1967 in English and Italian and held by 196 WorldCat member libraries worldwide
Implicit functions and solution mappings : a view from variational analysis by
A. L Dontchev(
Book
)
28 editions published between 2008 and 2014 in English and held by 172 WorldCat member libraries worldwide
This second edition ... presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this selfcontained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature.Provided by publisher
28 editions published between 2008 and 2014 in English and held by 172 WorldCat member libraries worldwide
This second edition ... presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this selfcontained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature.Provided by publisher
Nonsmooth mechanics and analysis : theoretical and numerical advances by
P Alart(
Book
)
15 editions published between 2006 and 2011 in English and held by 119 WorldCat member libraries worldwide
This book's title, "Nonsmooth Mechanics and Analysis", refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would
15 editions published between 2006 and 2011 in English and held by 119 WorldCat member libraries worldwide
This book's title, "Nonsmooth Mechanics and Analysis", refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would
Geometric control and nonsmooth analysis : in honor of the 73rd birthday of H. Hermes and of the 71st birthday of R.T. Rockafellar by ANCONA FABIO(
Book
)
8 editions published in 2008 in English and held by 64 WorldCat member libraries worldwide
The aim of this volume is to provide a synthetic account of past research, to give an uptodate guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions
8 editions published in 2008 in English and held by 64 WorldCat member libraries worldwide
The aim of this volume is to provide a synthetic account of past research, to give an uptodate guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions
Mathematics of debt instruments taxation by
Jaime Cuevas Dermody(
Book
)
2 editions published in 1994 in English and held by 47 WorldCat member libraries worldwide
2 editions published in 1994 in English and held by 47 WorldCat member libraries worldwide
Nonlinear Optimization and Generalized Lagrange Multipliers(
Book
)
5 editions published between 1973 and 1977 in English and held by 5 WorldCat member libraries worldwide
Thirtyone articles and one monograph published under this grant are described. These are grouped as follows: nonlinear programming (9 articles), stochastic programming (9 articles), optimal control (8 articles), convex analysis/integral functionals (5 articles and one monograph). (Author)
5 editions published between 1973 and 1977 in English and held by 5 WorldCat member libraries worldwide
Thirtyone articles and one monograph published under this grant are described. These are grouped as follows: nonlinear programming (9 articles), stochastic programming (9 articles), optimal control (8 articles), convex analysis/integral functionals (5 articles and one monograph). (Author)
Convex functions and dual extremum problems by
R. Tyrrell Rockafellar(
Book
)
4 editions published between 1962 and 1963 in English and held by 5 WorldCat member libraries worldwide
4 editions published between 1962 and 1963 in English and held by 5 WorldCat member libraries worldwide
Lecture notes for a short course in unconstrained optimization by
J. E Dennis(
Book
)
3 editions published in 1983 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1983 in English and held by 4 WorldCat member libraries worldwide
Optimization Problems: Duality and Multiplier Methods(
Book
)
3 editions published between 1978 and 1982 in English and held by 3 WorldCat member libraries worldwide
During this reporting period a monograph on network optimization and monotropic programming was completed. New results were obtained on subgradient methods and open horizon control
3 editions published between 1978 and 1982 in English and held by 3 WorldCat member libraries worldwide
During this reporting period a monograph on network optimization and monotropic programming was completed. New results were obtained on subgradient methods and open horizon control
Variational systems, an introduction by
R. Tyrrell Rockafellar(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
The radius of metric regularity by
A. L Dontchev(
Book
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
Scenarios and policy aggregation in optimization under uncertainty by
R. Tyrrell Rockafellar(
Book
)
3 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
Lipschitzian stability in optimization : the role of nonsmooth analysis by
R. Tyrrell Rockafellar(
Book
)
3 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
Special issue in celebration of R. T. Rockafellar's 60th birthday(
Book
)
1 edition published in 1995 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1995 in Undetermined and held by 1 WorldCat member library worldwide
Implicit Functions and Solution Mappings(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Hermes, Henry 1933 Honoree
 Ancona, Fabio 1964 Editor
 Dontchev, A. L. 1948 Author
 Maisonneuve, O. Editor
 Alart, P. Author Editor
 Wets, Roger J.B
 Moreau, Jean Jacques 1923
 New York University Salomon Center
 Dermody, Jaime Cuevas Author
 WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
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Associated Subjects
Calculus of variations Computer scienceMathematics Control theoryResearch Convex domains Convex functions Convex programming Convex sets Differential equations Duality theory (Mathematics) Engineering economy Functional analysis Functions of several real variables Global analysis (Mathematics) Implicit functions Lagrangian functions Linear programming Mappings (Mathematics) Mathematical analysis Mathematical optimization Mathematics Mechanics, Analytic Moreau, Jean Jacques, Network analysis (Planning) Nonsmooth optimization Numerical analysis Perturbation (Mathematics) Systems engineeringResearch United States Variational principles
Alternative Names
R. Tyrrell Rockafellar amerikansk ekonom och matematiker
R. Tyrrell Rockafellar amerikansk konom og matematikar
R. Tyrrell Rockafellar amerikansk konom og matematiker
Ralph Tyrrell Rockafellar mathmaticien amricain
Ralph Tyrrell Rockafellar USamerikanischer Mathematiker
Rockafellar, R.
Rockafellar, R. T.
Rockafellar, R. T. 1935
Rockafellar, R. T. (R. Tyrrell), 1935
Rockafellar, R. Tyrrell.
Rockafellar, R. Tyrrell 1935
Rockafellar, Ralph T.
Rockafellar, Ralph T. 1935
Rockafellar, Ralph Tyrrell 1935
Rokafellar, R. 1935
Tyrrell Rockafellar, Ralph 1935
Tyrrell Rockafellar Raph
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