WorldCat Identities

Rockafellar, R. Tyrrell 1935-

Overview
Works: 63 works in 298 publications in 6 languages and 5,952 library holdings
Genres: Conference papers and 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 )

54 editions published between 1969 and 1999 in 3 languages and held by 984 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 saddle-functions
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

Variational analysis by R. Tyrrell Rockafellar( Book )

36 editions published between 1997 and 2013 in English and German and held by 493 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 set-convergence, set-valued mappings and duality
Conjugate duality and optimization by R. Tyrrell Rockafellar( Book )

28 editions published between 1973 and 1989 in English and German and held by 372 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 )

21 editions published between 1978 and 1981 in 3 languages and held by 321 WorldCat member libraries worldwide

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

Implicit functions and solution mappings : a view from variational analysis by A. L Dontchev( Book )

34 editions published between 2008 and 2014 in English and held by 191 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 self-contained 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
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 up-to-date 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

Nonlinear Optimization and Generalized Lagrange Multipliers by R. Tyrrell Rockafellar( Book )

6 editions published between 1973 and 1977 in English and held by 6 WorldCat member libraries worldwide

The report describes briefly the research accomplishments during the first 12 months of the grant. Five papers have been produced and a doctoral thesis has been brought almost to completion. These works deal with diverse but fundamental aspects of optimization, ranging from mathematical programming and optimal control to economic models of growth and production. (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

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

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

Optimization Problems: Duality and Multiplier Methods( Book )

3 editions published between 1978 and 1982 in English and held by 3 WorldCat member libraries worldwide

This describes five articles, a doctoral dissertation and part of a book manuscript produced under the grant in question in 1977. (Author)
Variational systems, an introduction by R. Tyrrell Rockafellar( Book )

in English and held by 2 WorldCat member libraries worldwide

Analiza convexa by R. Tyrrell Rockafellar( Book )

1 edition published in 2002 in Romanian 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

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

Implicit Functions and Solution Mappings( )

1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide

 
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Audience level: 0.55 (from 0.05 for Geometric ... to 1.00 for Optimizati ...)

Convex analysis
Alternative Names
R. Tyrrell Rockafellar amerikansk ekonom och matematiker

R. Tyrrell Rockafellar amerikansk økonom og matematikar

R. Tyrrell Rockafellar amerikansk økonom og matematiker

Ralph Tyrrell Rockafellar Amerikaans wiskundige

Ralph Tyrrell Rockafellar mathématicien américain

Ralph Tyrrell Rockafellar US-amerikanischer 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
Variational analysisConjugate duality and optimizationImplicit functions and solution mappings : a view from variational analysisNonsmooth mechanics and analysis : theoretical and numerical advancesGeometric control and nonsmooth analysis : in honor of the 73rd birthday of H. Hermes and of the 71st birthday of R.T. Rockafellar