Rockafellar, R. Tyrrell 1935
Overview
Works:  64 works in 276 publications in 5 languages and 6,100 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Contributor 
Classifications:  QA402.5, 515.353 
Publication Timeline
.
Most widely held works by
R. Tyrrell Rockafellar
Convex analysis by
R. Tyrrell Rockafellar(
Book
)
43 editions published between 1969 and 1997 in 3 languages and held by 939 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 the continuity and differentiability of convex functions and saddlefunctions
43 editions published between 1969 and 1997 in 3 languages and held by 939 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 the continuity and differentiability of convex functions and saddlefunctions
Network flows and monotropic optimization by
R. Tyrrell Rockafellar(
Book
)
15 editions published between 1984 and 1998 in English and held by 517 WorldCat member libraries worldwide
15 editions published between 1984 and 1998 in English and held by 517 WorldCat member libraries worldwide
Variational analysis by
R. Tyrrell Rockafellar(
Book
)
37 editions published between 1997 and 2013 in English and German and held by 498 WorldCat member libraries worldwide
This text seeks to develop a unified framework of variational analysis and, in finite dimensions, provide an exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. It also covers setconvergence, setvalued mappings and duality
37 editions published between 1997 and 2013 in English and German and held by 498 WorldCat member libraries worldwide
This text seeks to develop a unified framework of variational analysis and, in finite dimensions, provide an exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. It also covers setconvergence, setvalued mappings and duality
Conjugate duality and optimization by
R. Tyrrell Rockafellar(
Book
)
20 editions published between 1973 and 1989 in English and held by 360 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)
20 editions published between 1973 and 1989 in English and held by 360 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
)
18 editions published between 1978 and 1981 in 3 languages and held by 307 WorldCat member libraries worldwide
18 editions published between 1978 and 1981 in 3 languages and held by 307 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 204 WorldCat member libraries worldwide
13 editions published in 1967 in English and Italian and held by 204 WorldCat member libraries worldwide
Implicit functions and solution mappings : a view from variational analysis by
A. L Dontchev(
Book
)
31 editions published between 2009 and 2014 in English and held by 177 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
31 editions published between 2009 and 2014 in English and held by 177 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
)
13 editions published between 2006 and 2011 in English and held by 115 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 require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics. Audience This book is intended for researchers in mathematics and mechanics
13 editions published between 2006 and 2011 in English and held by 115 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 require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics. Audience This book is intended for researchers in mathematics and mechanics
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
)
10 editions published in 2008 in English and held by 66 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
10 editions published in 2008 in English and held by 66 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 48 WorldCat member libraries worldwide
2 editions published in 1994 in English and held by 48 WorldCat member libraries worldwide
Convex analysis and mathematical economics by
J. J. M Evers(
Book
)
1 edition published in 1978 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1978 in English and held by 7 WorldCat member libraries worldwide
Nonlinear Optimization and Generalized Lagrange Multipliers by
R. Tyrrell Rockafellar(
Book
)
7 editions published between 1973 and 1977 in English and held by 6 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
7 editions published between 1973 and 1977 in English and held by 6 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
Research under this grant during the period 19771981 resulted in 20 technical articles, two books and a Ph. D. thesis. The work is summarized under the following headings: (1) nonlinear programming algorithms, (2) multistage stochastic optimization, (3) networks and monotropic programming, (4) subgradient analysis and nonsmooth optimization, (5) marginal values and sensitivity analysis, (6) genericity of optimality conditions, (7) optimal control of dynamical systems. (Author)
3 editions published between 1978 and 1982 in English and held by 3 WorldCat member libraries worldwide
Research under this grant during the period 19771981 resulted in 20 technical articles, two books and a Ph. D. thesis. The work is summarized under the following headings: (1) nonlinear programming algorithms, (2) multistage stochastic optimization, (3) networks and monotropic programming, (4) subgradient analysis and nonsmooth optimization, (5) marginal values and sensitivity analysis, (6) genericity of optimality conditions, (7) optimal control of dynamical systems. (Author)
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
Conjugate duality and potimization by
R. Tyrrell Rockafellar(
Book
)
1 edition published in 1974 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 3 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
NavierStokes equations : theory and numerical analysis by
Roger Temam(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly nonhomogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to nonstationary equations. With the exception of some wellknown facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heattransfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly nonhomogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to nonstationary equations. With the exception of some wellknown facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heattransfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations
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Related Identities
 Hermes, Henry 1933 Honoree Contributor
 Ancona, Fabio 1964 Contributor Editor
 Dontchev, A. L. 1948 Author
 Wets, Roger J.B
 Maisonneuve, O. Editor
 Alart, P. Author Editor
 Moreau, Jean Jacques 1923
 Dermody, Jaime Cuevas Author
 New York University Salomon Center
 Temam, Roger Author
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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 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 Mechanical engineering Mechanics, Analytic Moreau, Jean Jacques, NavierStokes equations NavierStokes equationsNumerical solutions Network analysis (Planning) Nonsmooth optimization Numerical analysis Systems engineeringResearch United States Variational principles
Alternative Names
R. Tyrrell Rockafellar amerikansk ekonom och matematiker
R. Tyrrell Rockafellar amerikansk økonom og matematikar
R. Tyrrell Rockafellar amerikansk økonom og matematiker
R・ティレル・ロックフェラー
Ralph Tyrrell Rockafellar Amerikaans wiskundige
Ralph Tyrrell Rockafellar mathématicien américain
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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