Rockafellar, R. Tyrrell 1935
Overview
Works:  63 works in 290 publications in 5 languages and 5,720 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree 
Classifications:  QA402.5, 517.52 
Publication Timeline
.
Most widely held works by
R. Tyrrell Rockafellar
Convex analysis by
R. Tyrrell Rockafellar(
Book
)
54 editions published between 1969 and 1999 in 3 languages and held by 973 WorldCat member libraries worldwide
Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and
54 editions published between 1969 and 1999 in 3 languages and held by 973 WorldCat member libraries worldwide
Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and
Network flows and monotropic optimization by
R. Tyrrell Rockafellar(
Book
)
15 editions published between 1984 and 1998 in English and held by 514 WorldCat member libraries worldwide
15 editions published between 1984 and 1998 in English and held by 514 WorldCat member libraries worldwide
Variational analysis by
R. Tyrrell Rockafellar(
Book
)
35 editions published between 1997 and 2013 in English and German and held by 484 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 analysis. Also covered are setconvergence, setvalued mappings, epiconvergence, duality, maximal monotone mappings, secondorder subderivatives, measurable selections and normal integrands. The changes in this 3rd printing mainly concern various typographical corrections, and reference omissions that came to light in the previous printings. Many of these reached the authors' notice through their own rereading, that of their students and a number of colleagues mentioned in the Preface. The authors also included a few telling examples as well as improved a few statements, with slightly weaker assumptions or have strengthened the conclusions in a couple of instances
35 editions published between 1997 and 2013 in English and German and held by 484 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 analysis. Also covered are setconvergence, setvalued mappings, epiconvergence, duality, maximal monotone mappings, secondorder subderivatives, measurable selections and normal integrands. The changes in this 3rd printing mainly concern various typographical corrections, and reference omissions that came to light in the previous printings. Many of these reached the authors' notice through their own rereading, that of their students and a number of colleagues mentioned in the Preface. The authors also included a few telling examples as well as improved a few statements, with slightly weaker assumptions or have strengthened the conclusions in a couple of instances
Conjugate duality and optimization by
R. Tyrrell Rockafellar(
Book
)
28 editions published between 1973 and 1989 in English and German and held by 371 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)
28 editions published between 1973 and 1989 in English and German and held by 371 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
)
19 editions published between 1978 and 1981 in 3 languages and held by 315 WorldCat member libraries worldwide
19 editions published between 1978 and 1981 in 3 languages and held by 315 WorldCat member libraries worldwide
Monotone processes of convex and concave type by
R. Tyrrell Rockafellar(
Book
)
14 editions published in 1967 in English and Italian and held by 203 WorldCat member libraries worldwide
14 editions published in 1967 in English and Italian and held by 203 WorldCat member libraries worldwide
Implicit functions and solution mappings : a view from variational analysis by
A. L Dontchev(
Book
)
30 editions published between 2008 and 2014 in English and held by 182 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
30 editions published between 2008 and 2014 in English and held by 182 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
)
14 editions published between 2006 and 2011 in English and held by 115 WorldCat member libraries worldwide
14 editions published between 2006 and 2011 in English and held by 115 WorldCat member libraries worldwide
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
This report briefly describes the contents of 7 papers written under this grant during the past year in the areas of nonlinear programming, stochastic programming and optimal control
5 editions published between 1973 and 1977 in English and held by 5 WorldCat member libraries worldwide
This report briefly describes the contents of 7 papers written under this grant during the past year in the areas of nonlinear programming, stochastic programming and optimal control
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 5 WorldCat member libraries worldwide
3 editions published in 1983 in English and held by 5 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
Lipschitzian stability in optimization : the role of nonsmooth analysis by
R. Tyrrell Rockafellar(
Book
)
3 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 3 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
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
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
Basic Research on Convex Functions and Optimization Problems(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
The report briefly discusses the 5 papers written during the reporting period. These papers are titled: Integrals which are convex functionals; Ordinary convex programs without a duality gap; Some convex programs whose duals are linearly constrained; Saddlepoints and convex analysis; and Existence and duality theorems for convex problems of Bolza
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
The report briefly discusses the 5 papers written during the reporting period. These papers are titled: Integrals which are convex functionals; Ordinary convex programs without a duality gap; Some convex programs whose duals are linearly constrained; Saddlepoints and convex analysis; and Existence and duality theorems for convex problems of Bolza
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
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Hermes, Henry 1933 Honoree
 Ancona, Fabio 1964 Editor
 Dontchev, A. L. 1948 Author
 Wets, Roger J.B
 Alart, P. Author Editor
 Maisonneuve, O. Editor
 Moreau, Jean Jacques 1923
 Dermody, Jaime Cuevas Author
 New York University Salomon Center
 WASHINGTON UNIV SEATTLE Dept. of MATHEMATICS
Useful Links
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
Languages
Covers