Bertsekas, Dimitri P.
Overview
Works:  158 works in 528 publications in 6 languages and 7,516 library holdings 

Genres:  Textbooks 
Roles:  Author, Editor, Originator 
Classifications:  T57.83, 519.703 
Publication Timeline
.
Most widely held works by
Dimitri P Bertsekas
Data networks by
Dimitri P Bertsekas(
Book
)
48 editions published between 1982 and 2011 in 6 languages and held by 895 WorldCat member libraries worldwide
48 editions published between 1982 and 2011 in 6 languages and held by 895 WorldCat member libraries worldwide
Parallel and distributed computation : numerical methods by
Dimitri P Bertsekas(
Book
)
26 editions published between 1989 and 1997 in English and held by 552 WorldCat member libraries worldwide
Mathematics of Computing  Parallelism
26 editions published between 1989 and 1997 in English and held by 552 WorldCat member libraries worldwide
Mathematics of Computing  Parallelism
Nonlinear programming by
Dimitri P Bertsekas(
Book
)
41 editions published between 1995 and 2016 in 3 languages and held by 524 WorldCat member libraries worldwide
The third edition of the book is a thoroughly rewritten version of the 1999 2nd edition. New material was included, some of the old material was discarded, and a large portion of the remainder was reorganized or revised. This book provides a comprehensive and accessible presentation of algorithms for solving continuous optimization problems. It relies on rigorous mathematical analysis, but also aims at an intuitive exposition that makes use of visualization where possible. It places particular emphasis on modern developments, and their widespread applications in fields such as largescale resource allocation problems, signal processing, and machine learning. The book was developed through instruction at MIT, focuses on nonlinear and other types of optimization: iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and the interface between continuous and discrete optimization. Among its special features, the book: 1) provides extensive coverage of iterative optimization methods within a unifying framework 2) provides a detailed treatment of interior point methods for linear programming 3) covers in depth duality theory from both a variational and a geometrical/convex analysis point of view 4) includes much new material on a number of topics, such as neural network training, largescale optimization, signal processing, machine learning, and optimal control 5) includes a large number of examples and exercises detailed solutions of many of which are posted on the internet
41 editions published between 1995 and 2016 in 3 languages and held by 524 WorldCat member libraries worldwide
The third edition of the book is a thoroughly rewritten version of the 1999 2nd edition. New material was included, some of the old material was discarded, and a large portion of the remainder was reorganized or revised. This book provides a comprehensive and accessible presentation of algorithms for solving continuous optimization problems. It relies on rigorous mathematical analysis, but also aims at an intuitive exposition that makes use of visualization where possible. It places particular emphasis on modern developments, and their widespread applications in fields such as largescale resource allocation problems, signal processing, and machine learning. The book was developed through instruction at MIT, focuses on nonlinear and other types of optimization: iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and the interface between continuous and discrete optimization. Among its special features, the book: 1) provides extensive coverage of iterative optimization methods within a unifying framework 2) provides a detailed treatment of interior point methods for linear programming 3) covers in depth duality theory from both a variational and a geometrical/convex analysis point of view 4) includes much new material on a number of topics, such as neural network training, largescale optimization, signal processing, machine learning, and optimal control 5) includes a large number of examples and exercises detailed solutions of many of which are posted on the internet
Dynamic programming and stochastic control by
Dimitri P Bertsekas(
Book
)
17 editions published between 1976 and 1983 in English and held by 509 WorldCat member libraries worldwide
Control of uncertain systems over a finite horizon; Control of uncertain systems over an infinite horizon
17 editions published between 1976 and 1983 in English and held by 509 WorldCat member libraries worldwide
Control of uncertain systems over a finite horizon; Control of uncertain systems over an infinite horizon
Stochastic optimal control : the discrete time case by
Dimitri P Bertsekas(
Book
)
16 editions published in 1978 in English and held by 430 WorldCat member libraries worldwide
Analysis of dynamic programming models; Stochastic optimal control theory
16 editions published in 1978 in English and held by 430 WorldCat member libraries worldwide
Analysis of dynamic programming models; Stochastic optimal control theory
Linear network optimization : algorithms and codes by
Dimitri P Bertsekas(
Book
)
18 editions published between 1991 and 1992 in English and held by 349 WorldCat member libraries worldwide
18 editions published between 1991 and 1992 in English and held by 349 WorldCat member libraries worldwide
Introduction to probability by
Dimitri P Bertsekas(
Book
)
23 editions published between 2002 and 2016 in English and Chinese and held by 326 WorldCat member libraries worldwide
23 editions published between 2002 and 2016 in English and Chinese and held by 326 WorldCat member libraries worldwide
Dynamic programming : deterministic and stochastic models by
Dimitri P Bertsekas(
Book
)
13 editions published between 1976 and 1987 in English and held by 295 WorldCat member libraries worldwide
13 editions published between 1976 and 1987 in English and held by 295 WorldCat member libraries worldwide
Neurodynamic programming by
Dimitri P Bertsekas(
Book
)
9 editions published in 1996 in English and held by 289 WorldCat member libraries worldwide
9 editions published in 1996 in English and held by 289 WorldCat member libraries worldwide
Nondifferentiable optimization by
M. L Balinski(
Book
)
5 editions published in 1975 in English and held by 242 WorldCat member libraries worldwide
Nondifferentiable optimization via approximation; On improving relaxation methods by modified gradient techniques; The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices; Using duality to solve discrete optimization problems: theory and computational experience; An extension of Davidon methods to non differentiable problems; Minimax solution of nonlinear equations without calculating derivatives; The use of the boxstep method in discrete optimization; A method of conjugate subgradients for minimizing nondifferentiable functions
5 editions published in 1975 in English and held by 242 WorldCat member libraries worldwide
Nondifferentiable optimization via approximation; On improving relaxation methods by modified gradient techniques; The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices; Using duality to solve discrete optimization problems: theory and computational experience; An extension of Davidon methods to non differentiable problems; Minimax solution of nonlinear equations without calculating derivatives; The use of the boxstep method in discrete optimization; A method of conjugate subgradients for minimizing nondifferentiable functions
Convex analysis and optimization by
Dimitri P Bertsekas(
Book
)
11 editions published between 2003 and 2009 in English and held by 221 WorldCat member libraries worldwide
11 editions published between 2003 and 2009 in English and held by 221 WorldCat member libraries worldwide
Network optimization : continuous and discrete methods by
Dimitri P Bertsekas(
Book
)
4 editions published in 1998 in English and held by 143 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 143 WorldCat member libraries worldwide
Convex optimization theory by
Dimitri P Bertsekas(
Book
)
6 editions published between 2009 and 2011 in English and held by 72 WorldCat member libraries worldwide
An insightful, concise, and rigorous treatment of the basic theory of convex sets and functions in finite dimensions, and the analytical/geometrical foundations of convex optimization and duality theory. Convexity theory is first developed in a simple accessible manner, using easily visualized proofs. Then the focus shifts to a transparent geometrical line of analysis to develop the fundamental duality between descriptions of convex sets and functions in terms of points and in terms of hyperplanes. Finally, convexity theory and abstract duality are applied to problems of constrained optimization, Fenchel and conic duality, and game theory to develop the sharpest possible duality results within a highly visual geometric framework
6 editions published between 2009 and 2011 in English and held by 72 WorldCat member libraries worldwide
An insightful, concise, and rigorous treatment of the basic theory of convex sets and functions in finite dimensions, and the analytical/geometrical foundations of convex optimization and duality theory. Convexity theory is first developed in a simple accessible manner, using easily visualized proofs. Then the focus shifts to a transparent geometrical line of analysis to develop the fundamental duality between descriptions of convex sets and functions in terms of points and in terms of hyperplanes. Finally, convexity theory and abstract duality are applied to problems of constrained optimization, Fenchel and conic duality, and game theory to develop the sharpest possible duality results within a highly visual geometric framework
Network optimization : continuous and discrete models by
Dimitri P Bertsekas(
Book
)
7 editions published in 1998 in English and held by 52 WorldCat member libraries worldwide
7 editions published in 1998 in English and held by 52 WorldCat member libraries worldwide
Convex optimization algorithms by
Dimitri P Bertsekas(
Book
)
1 edition published in 2015 in English and held by 32 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 32 WorldCat member libraries worldwide
Dynamic programming and optimal control by
Dimitri P Bertsekas(
Book
)
3 editions published in 1995 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 14 WorldCat member libraries worldwide
Abstract dynamic programming by
Dimitri P Bertsekas(
Book
)
1 edition published in 2013 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 14 WorldCat member libraries worldwide
Dynamic programming and optimal control by
Dimitri P Bertsekas(
Book
)
in English and held by 11 WorldCat member libraries worldwide
in English and held by 11 WorldCat member libraries worldwide
Uslovnaja optimizacija i metody množitelej Lagranža by
Dimitri P Bertsekas(
Book
)
4 editions published in 1987 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
4 editions published in 1987 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Τσιτσικλής, Γιάννης Ν Author
 Shreve, Steven E.
 Gallager, Robert G. Author
 Balinski, M. L.
 Wolfe, Philip 1941
 Ozdaglar, Asuman E.
 Nedić, Angelia
 Massachusetts Institute of Technology Laboratory for Information and Decision Systems Funder
 Center for Intelligent Control Systems (U.S.)
 Tseng, Paul Author
Useful Links
Associated Subjects
Algorithms Computer networks Computer science Control theory Convex functions Convex programming Data transmission systems Duality theory (Mathematics) Dynamic programming Electronic data processingDistributed processing Functions, Continuous Functions of real variables Machine learning Mathematical optimization Mathematics Maxima and minima Measure theory Network analysis (Planning) Neural networks (Computer science) Nondifferentiable functions Nonlinear programming Parallel processing (Electronic computers) Probabilities Random variables Stochastic control theory Stochastic processes