Rockafellar, R. Tyrrell 1935
Overview
Works:  55 works in 222 publications in 4 languages and 4,545 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Honoree, Editor 
Classifications:  QA331.5, 517.52 
Publication Timeline
.
Most widely held works by
R. Tyrrell Rockafellar
Convex analysis
by
R. Tyrrell Rockafellar(
Book
)
43 editions published between 1969 and 1999 in 3 languages and held by 931 WorldCat member libraries worldwide
43 editions published between 1969 and 1999 in 3 languages and held by 931 WorldCat member libraries worldwide
Implicit functions and solution mappings a view from variational analysis
by
A. L Dontchev(
)
19 editions published between 2008 and 2014 in English and held by 614 WorldCat member libraries worldwide
The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings 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. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section. From reviews of the first edition: 'The book commences with a helpful contextsetting preface followed by six chapters. Each chapter starts with a useful preamble and concludes with a careful and instructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study.... I unreservedly recommended this book to all practitioners and graduate students interested in modern optimization theory or control theory or to those just engaged by beautiful analysis cleanly described.' (Jonathan Michael Browein, IEEE Control Systems Magazine, February, 2012) 'This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems.... The book is targeted to a broad audience of researchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacent branches and also by specialists in mechanics, physics, engineering, economics, and so on.' (Peter Zabreiko, Zentralblatt MATH, Vol. 1178, 2010) 'The present monograph will be a most welcome and valuable addition.... This book will save much time and effort, both for those doing research in variational analysis and for students learning the field. This important contribution fills a gap in the existing literature.' (Stephen M. Robinson, Mathematical Reviews, Issue 2010)
19 editions published between 2008 and 2014 in English and held by 614 WorldCat member libraries worldwide
The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings 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. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section. From reviews of the first edition: 'The book commences with a helpful contextsetting preface followed by six chapters. Each chapter starts with a useful preamble and concludes with a careful and instructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study.... I unreservedly recommended this book to all practitioners and graduate students interested in modern optimization theory or control theory or to those just engaged by beautiful analysis cleanly described.' (Jonathan Michael Browein, IEEE Control Systems Magazine, February, 2012) 'This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems.... The book is targeted to a broad audience of researchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacent branches and also by specialists in mechanics, physics, engineering, economics, and so on.' (Peter Zabreiko, Zentralblatt MATH, Vol. 1178, 2010) 'The present monograph will be a most welcome and valuable addition.... This book will save much time and effort, both for those doing research in variational analysis and for students learning the field. This important contribution fills a gap in the existing literature.' (Stephen M. Robinson, Mathematical Reviews, Issue 2010)
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(
)
5 editions published in 2008 in English and held by 567 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
5 editions published in 2008 in English and held by 567 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
Network flows and monotropic optimization
by
R. Tyrrell Rockafellar(
Book
)
9 editions published between 1984 and 1998 in English and held by 502 WorldCat member libraries worldwide
9 editions published between 1984 and 1998 in English and held by 502 WorldCat member libraries worldwide
Variational analysis
by
R. Tyrrell Rockafellar(
Book
)
30 editions published between 1997 and 2010 in English and German and held by 481 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
30 editions published between 1997 and 2010 in English and German and held by 481 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
Nonsmooth mechanics and analysis theoretical and numerical advances
by
P Alart(
)
16 editions published between 2006 and 2011 in English and held by 466 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
16 editions published between 2006 and 2011 in English and held by 466 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
Conjugate duality and optimization
by
R. Tyrrell Rockafellar(
Book
)
17 editions published between 1974 and 1989 in English and German and held by 384 WorldCat member libraries worldwide
Provides a relatively brief introduction to conjugate duality in both finite and infinitedimensional problems. An emphasis is placed on the fundamental importance of the concepts of Lagrangian function, saddlepoint, and saddlevalue. General examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of variations, and optimal control
17 editions published between 1974 and 1989 in English and German and held by 384 WorldCat member libraries worldwide
Provides a relatively brief introduction to conjugate duality in both finite and infinitedimensional problems. An emphasis is placed on the fundamental importance of the concepts of Lagrangian function, saddlepoint, and saddlevalue. General examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of variations, and optimal control
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 307 WorldCat member libraries worldwide
17 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
)
6 editions published in 1967 in English and held by 192 WorldCat member libraries worldwide
6 editions published in 1967 in English and held by 192 WorldCat member libraries worldwide
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 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
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)
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
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
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
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
Convex analysis and mathematical economics
by
J. J. M Evers(
)
1 edition published in 1978 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1978 in Undetermined and held by 1 WorldCat member library worldwide
Subgradient Methods in Deterministic and Stochastic Optimization
(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
This report surveys eleven technical articles and two doctoral theses that were produced under this twoyear grant. The work was in the following areas: stochastic programming; subgradient theory; nonlinear programming; and optimal control. (Author)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
This report surveys eleven technical articles and two doctoral theses that were produced under this twoyear grant. The work was in the following areas: stochastic programming; subgradient theory; nonlinear programming; and optimal control. (Author)
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Related Identities
 Dontchev, A. L. 1948 Author
 Hermes, Henry 1933 Honoree
 Ancona, Fabio 1964 Editor
 Wets, Roger J.B
 Alart, P. Author Editor
 Maisonneuve, O. Editor
 Moreau, Jean Jacques 1923
 Dermody, Jaime Cuevas Author
 New York University Salomon Center
 Wets, Maria
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Associated Subjects
Calculus of variations Computer scienceMathematics Control theoryResearch Convex domains Convex functions Convex programming 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 Network analysis (Planning) Nonsmooth optimization Numerical analysis Perturbation (Mathematics) Systems engineeringResearch United States Variational principles
Alternative Names
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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