Bertsekas, Dimitri P.
Overview
Works:  166 works in 623 publications in 6 languages and 8,513 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
)
43 editions published between 1982 and 2011 in 3 languages and held by 877 WorldCat member libraries worldwide
43 editions published between 1982 and 2011 in 3 languages and held by 877 WorldCat member libraries worldwide
Dynamic programming and optimal control by
Dimitri P Bertsekas(
Book
)
68 editions published between 1995 and 2017 in 3 languages and held by 659 WorldCat member libraries worldwide
"The leading and most uptodate textbook on the farranging algorithmic methododogy of Dynamic Programming, which can be used for optimal control, Markovian decision problems, planning and sequential decision making under uncertainty, and discrete/combinatorial optimization. The treatment focuses on basic unifying themes, and conceptual foundations. It illustrates the versatility, power, and generality of the method with many examples and applications from engineering, operations research, and other fields. It also addresses extensively the practical application of the methodology, possibly through the use of approximations, and provides an extensive treatment of the farreaching methodology of NeuroDynamic Programming/Reinforcement Learning. The first volume is oriented towards modeling, conceptualization, and finitehorizon problems, but also includes a substantive introduction to infinite horizon problems that is suitable for classroom use. The second volume is oriented towards mathematical analysis and computation, treats infinite horizon problems extensively, and provides an uptodate account of approximate largescale dynamic programming and reinforcement learning. The text contains many illustrations, workedout examples, and exercises."Publisher's website
68 editions published between 1995 and 2017 in 3 languages and held by 659 WorldCat member libraries worldwide
"The leading and most uptodate textbook on the farranging algorithmic methododogy of Dynamic Programming, which can be used for optimal control, Markovian decision problems, planning and sequential decision making under uncertainty, and discrete/combinatorial optimization. The treatment focuses on basic unifying themes, and conceptual foundations. It illustrates the versatility, power, and generality of the method with many examples and applications from engineering, operations research, and other fields. It also addresses extensively the practical application of the methodology, possibly through the use of approximations, and provides an extensive treatment of the farreaching methodology of NeuroDynamic Programming/Reinforcement Learning. The first volume is oriented towards modeling, conceptualization, and finitehorizon problems, but also includes a substantive introduction to infinite horizon problems that is suitable for classroom use. The second volume is oriented towards mathematical analysis and computation, treats infinite horizon problems extensively, and provides an uptodate account of approximate largescale dynamic programming and reinforcement learning. The text contains many illustrations, workedout examples, and exercises."Publisher's website
Constrained optimization and Lagrange multiplier methods by
Dimitri P Bertsekas(
Book
)
29 editions published between 1981 and 1996 in 3 languages and held by 560 WorldCat member libraries worldwide
The method of multipliers for equality constrained problems; the method of multipliers for inequality constrained and nondifferentiable optimization problems; exact penalty methods and lagrangian methods; nonquadratic penalty functions  convex programming
29 editions published between 1981 and 1996 in 3 languages and held by 560 WorldCat member libraries worldwide
The method of multipliers for equality constrained problems; the method of multipliers for inequality constrained and nondifferentiable optimization problems; exact penalty methods and lagrangian methods; nonquadratic penalty functions  convex programming
Parallel and distributed computation : numerical methods by
Dimitri P Bertsekas(
Book
)
27 editions published between 1989 and 2014 in English and held by 554 WorldCat member libraries worldwide
Mathematics of Computing  Parallelism
27 editions published between 1989 and 2014 in English and held by 554 WorldCat member libraries worldwide
Mathematics of Computing  Parallelism
Nonlinear programming by
Dimitri P Bertsekas(
Book
)
43 editions published between 1995 and 2016 in 3 languages and held by 550 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
43 editions published between 1995 and 2016 in 3 languages and held by 550 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 507 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 507 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
)
18 editions published in 1978 in English and held by 423 WorldCat member libraries worldwide
Analysis of dynamic programming models; Stochastic optimal control theory
18 editions published in 1978 in English and held by 423 WorldCat member libraries worldwide
Analysis of dynamic programming models; Stochastic optimal control theory
Linear network optimization : algorithms and codes by
Dimitri P Bertsekas(
Book
)
15 editions published between 1991 and 1992 in English and held by 348 WorldCat member libraries worldwide
15 editions published between 1991 and 1992 in English and held by 348 WorldCat member libraries worldwide
Introduction to probability by
Dimitri P Bertsekas(
Book
)
25 editions published between 2002 and 2016 in English and Chinese and held by 336 WorldCat member libraries worldwide
An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students
25 editions published between 2002 and 2016 in English and Chinese and held by 336 WorldCat member libraries worldwide
An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students
Neurodynamic programming by
Dimitri P Bertsekas(
Book
)
10 editions published between 1996 and 1999 in English and held by 295 WorldCat member libraries worldwide
10 editions published between 1996 and 1999 in English and held by 295 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 294 WorldCat member libraries worldwide
13 editions published between 1976 and 1987 in English and held by 294 WorldCat member libraries worldwide
Nondifferentiable optimization by
M. L Balinski(
Book
)
5 editions published in 1975 in English and held by 240 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 240 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 224 WorldCat member libraries worldwide
This book focuses on the theory of convex sets and functions, and its connections with a number of topics that span a broad range from continuous to discrete optimization. These topics include Lagrange multiplier theory, Lagrangian and conjugate/Fenchel duality, minimax theory, and nondifferentiable optimization. The book evolved from a set of lecture notes for a graduate course at M.I.T. It is widely recognized that, aside from being an eminently useful subject in engineering, operations research, and economics, convexity is an excellent vehicle for assimilating some of the basic concepts of real analysis within an intuitive geometrical setting. Unfortunately, the subject's coverage in academic curricula is scant and incidental. We believe that at least part of the reason is the shortage of textbooks that are suitable for classroom instruction, particularly for nonmathematics majors. We have therefore tried to make convex analysis accessible to a broader audience by emphasizing its geometrical character, while maintaining mathematical rigor. We have included as many insightful illustrations as possible, and we have used geometric visualization as a principal tool for maintaining the students' interest in mathematical proofs. Our treatment of convexity theory is quite comprehensive, with all major aspects of the subject receiving substantial treatment. The mathematical prerequisites are a course in linear algebra and a course in real analysis in finite dimensional spaces (which is the exclusive setting of the book). A summary of this material, without proofs, is provided in Section 1.1. The coverage of the theory has been significantly extended in the exercises, which represent a major component of the book. Detailed solutions of all the exercises (nearly 200 pages) are internetposted in the book's www page. 
11 editions published between 2003 and 2009 in English and held by 224 WorldCat member libraries worldwide
This book focuses on the theory of convex sets and functions, and its connections with a number of topics that span a broad range from continuous to discrete optimization. These topics include Lagrange multiplier theory, Lagrangian and conjugate/Fenchel duality, minimax theory, and nondifferentiable optimization. The book evolved from a set of lecture notes for a graduate course at M.I.T. It is widely recognized that, aside from being an eminently useful subject in engineering, operations research, and economics, convexity is an excellent vehicle for assimilating some of the basic concepts of real analysis within an intuitive geometrical setting. Unfortunately, the subject's coverage in academic curricula is scant and incidental. We believe that at least part of the reason is the shortage of textbooks that are suitable for classroom instruction, particularly for nonmathematics majors. We have therefore tried to make convex analysis accessible to a broader audience by emphasizing its geometrical character, while maintaining mathematical rigor. We have included as many insightful illustrations as possible, and we have used geometric visualization as a principal tool for maintaining the students' interest in mathematical proofs. Our treatment of convexity theory is quite comprehensive, with all major aspects of the subject receiving substantial treatment. The mathematical prerequisites are a course in linear algebra and a course in real analysis in finite dimensional spaces (which is the exclusive setting of the book). A summary of this material, without proofs, is provided in Section 1.1. The coverage of the theory has been significantly extended in the exercises, which represent a major component of the book. Detailed solutions of all the exercises (nearly 200 pages) are internetposted in the book's www page. 
Network optimization : continuous and discrete methods by
Dimitri P Bertsekas(
Book
)
4 editions published in 1998 in English and held by 140 WorldCat member libraries worldwide
4 editions published in 1998 in English and held by 140 WorldCat member libraries worldwide
Stochastic optimal control : the discrete time case by
Dimitri P Bertsekas(
Book
)
8 editions published in 1996 in English and held by 76 WorldCat member libraries worldwide
8 editions published in 1996 in English and held by 76 WorldCat member libraries worldwide
Convex optimization theory by
Dimitri P Bertsekas(
Book
)
6 editions published between 2009 and 2011 in English and held by 73 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 73 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
Dynamic programming and optimal control by
Dimitri P Bertsekas(
Book
)
15 editions published between 1995 and 2005 in English and held by 63 WorldCat member libraries worldwide
15 editions published between 1995 and 2005 in English and held by 63 WorldCat member libraries worldwide
Dynamic programming and optimal control by
Dimitri P Bertsekas(
Book
)
4 editions published between 2005 and 2017 in English and held by 54 WorldCat member libraries worldwide
« This is a substantially expanded and improved edition of the bestselling book by Bertsekas on dynamic programming, a central algorithmic method for optimal control, sequential decision making under uncertainty, and combinatorial optimization. The treatment focuses on basic unifying themes and conceptual foundations. It illustrates the versatility, power, and generality of the method with many examples and applications from engineering, operations research, and economics. »
4 editions published between 2005 and 2017 in English and held by 54 WorldCat member libraries worldwide
« This is a substantially expanded and improved edition of the bestselling book by Bertsekas on dynamic programming, a central algorithmic method for optimal control, sequential decision making under uncertainty, and combinatorial optimization. The treatment focuses on basic unifying themes and conceptual foundations. It illustrates the versatility, power, and generality of the method with many examples and applications from engineering, operations research, and economics. »
Dynamic programming and optimal control by
Dimitri P Bertsekas(
Book
)
3 editions published in 1995 in English and held by 24 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 24 WorldCat member libraries worldwide
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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.)
 Massachusetts Institute of Technology
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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 Multipliers (Mathematical analysis) Network analysis (Planning) Neural networks (Computer science) Nondifferentiable functions Nonlinear programming Parallel processing (Electronic computers) Probabilities Random variables Stochastic control theory Stochastic processes
Alternative Names
Bertsekas, D.
Bertsekas, D.P.
Bertsekas, Dimitri
Bertsekas, Dimitri P.
Bertsekas, Dimitri Panteli
Dimitri Bertsekas
Dimitri Bertsekas Greek computer scientist and mathematician
Бертсекас, Д.
Димитрис Берцекас
Дімітрі Берцекас
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