Rockafellar, R. Tyrrell 1935
Overview
Works:  69 works in 318 publications in 5 languages and 6,419 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Author of introduction, Contributor, wpr 
Classifications:  QA402.5, 515.353 
Publication Timeline
.
Most widely held works by
R. Tyrrell Rockafellar
Convex analysis by
R. Tyrrell Rockafellar(
Book
)
46 editions published between 1969 and 2015 in English and Undetermined and held by 981 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
46 editions published between 1969 and 2015 in English and Undetermined and held by 981 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
)
15 editions published between 1984 and 1998 in English and held by 515 WorldCat member libraries worldwide
15 editions published between 1984 and 1998 in English and held by 515 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 502 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 502 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
)
31 editions published between 1973 and 1989 in English and German and held by 396 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)
31 editions published between 1973 and 1989 in English and German and held by 396 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)
Monotone processes of convex and concave type by
R. Tyrrell Rockafellar(
Book
)
15 editions published in 1967 in English and Italian and held by 206 WorldCat member libraries worldwide
15 editions published in 1967 in English and Italian and held by 206 WorldCat member libraries worldwide
The theory of subgradients and its applications to problems of optimization : convex and nonconvex functions by
R. Tyrrell Rockafellar(
Book
)
10 editions published in 1981 in English and Undetermined and held by 206 WorldCat member libraries worldwide
10 editions published in 1981 in English and Undetermined and held by 206 WorldCat member libraries worldwide
Implicit functions and solution mappings : a view from variational analysis by
A. L Dontchev(
Book
)
36 editions published between 2008 and 2014 in English and held by 194 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
36 editions published between 2008 and 2014 in English and held by 194 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
La théorie des sousgradients et ses applications à l'optimisation : fonctions convexes et non convexes by
R. Tyrrell Rockafellar(
Book
)
9 editions published in 1979 in 3 languages and held by 116 WorldCat member libraries worldwide
9 editions published in 1979 in 3 languages and held by 116 WorldCat member libraries worldwide
Nonsmooth mechanics and analysis : theoretical and numerical advances by
P Alart(
Book
)
13 editions published between 2006 and 2011 in English and held by 116 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 116 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
Fabio Ancona(
Book
)
11 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
11 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
Vypuklyj analiz by
R. Tyrrell Rockafellar(
Book
)
12 editions published between 1970 and 1973 in 3 languages and held by 27 WorldCat member libraries worldwide
12 editions published between 1970 and 1973 in 3 languages and held by 27 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
Seven papers written under this grant during 1975 are described. They are in the areas of stochastic programming (2), nonlinear programming (3), and optimal control (2). (Author)
7 editions published between 1973 and 1977 in English and held by 6 WorldCat member libraries worldwide
Seven papers written under this grant during 1975 are described. They are in the areas of stochastic programming (2), nonlinear programming (3), and optimal control (2). (Author)
Lecture notes for a short course in unconstrained optimization. : Lagrange multipliers and duality in nonlinear optimization
/R. T. Rockafellar 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
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
Contributions in Mathematics and Engineering : In Honor of Constantin Carathéodory(
Book
)
3 editions published in 2016 in English and held by 3 WorldCat member libraries worldwide
The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, nonsmooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and selfcontained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. Constantin Carathéodory?s wideranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.
3 editions published in 2016 in English and held by 3 WorldCat member libraries worldwide
The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, nonsmooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and selfcontained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. Constantin Carathéodory?s wideranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.
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
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
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 Editor Contributor
 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
 Lions, J. L.
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Associated Subjects
Calculus of variations Carathéodory, Constantin, Combinatorial analysis Computer scienceMathematics Control theoryResearch Convex domains Convex functions Convex programming Convex sets Differential equations Duality theory (Mathematics) Dynamics Engineering Engineering economy Ergodic theory Functional analysis Functions of complex variables Functions of real variables Functions of several real variables Global analysis (Mathematics) Implicit functions Lagrangian functions Linear programming Mappings (Mathematics) Mathematical analysis Mathematical optimization Mathematics Measure theory Mechanical engineering Mechanics, Analytic Moreau, Jean Jacques, NavierStokes equations NavierStokes equationsNumerical solutions Network analysis (Planning) Nonsmooth optimization Numerical analysis Systems engineeringResearch United States
Alternative Names
R. Tyrrell Rockafellar amerikansk ekonom och matematiker
R. Tyrrell Rockafellar amerikansk økonom og matematikar
R. Tyrrell Rockafellar amerikansk økonom og matematiker
R. Tyrrell Rockafellar matemático estadounidense
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
Tyrrell Rockafellar, Ralph 1935
Tyrrell Rockafellar Raph
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