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DIMITRI BERTSEKAS

  • Dimitri Bertsekas
  • Greek-American electrical engineer (1942–2026)

    Dimitri Panteli Bertsekas (Greek: Δημήτρης Παντελής Μπερτσεκάς; July 9, 1942 – June 3, 2026) was a Greek-American applied mathematician, electrical engineer

    Dimitri Bertsekas

    Dimitri Bertsekas

    Dimitri_Bertsekas

  • Danskin's theorem
  • Theorem in convex analysis

    function. An extension to more general conditions was proven 1971 by Dimitri Bertsekas. The following version is proven in "Nonlinear programming" (1991)

    Danskin's theorem

    Danskin's_theorem

  • Auction algorithm
  • weight matching problem (MWM). This algorithm was first proposed by Dimitri Bertsekas in 1979. The ideas of the auction algorithm and ε-scaling are also

    Auction algorithm

    Auction_algorithm

  • Asuman Özdağlar
  • Turkish academic (born 1974)

    Workplaces Massachusetts Institute of Technology Doctoral advisor Dimitri Bertsekas Notable students Ilan Lobel, Kostas Bimpikis, Ozan Candogan, Kimon

    Asuman Özdağlar

    Asuman_Özdağlar

  • Augmented Lagrangian method
  • Class of algorithms for solving constrained optimization problems

    were used in structural optimization. The method was also studied by Dimitri Bertsekas, notably in his 1982 book, together with extensions involving non-quadratic

    Augmented Lagrangian method

    Augmented_Lagrangian_method

  • Subgradient method
  • Concept in convex optimization mathematics

    subgradient method is stated as Exercise 6.3.14(a) in Bertsekas (page 636): Bertsekas, Dimitri P. (1999). Nonlinear Programming (Second ed.). Cambridge

    Subgradient method

    Subgradient_method

  • Hilbert's problems
  • 23 mathematical problems stated in 1900

    (2004). The Calculus of Variations. Springer. ISBN 978-0-387-40247-5. Dimitri Bertsekas. Dynamic programming and optimal control. Athena Scientific, 2005

    Hilbert's problems

    Hilbert's problems

    Hilbert's_problems

  • Athena (disambiguation)
  • Topics referred to by the same term

    science and engineering publishing company co-founded by MIT professor Dimitri Bertsekas Athena Technologies, a Virginia-based company specializing in navigation

    Athena (disambiguation)

    Athena_(disambiguation)

  • List of Greek mathematicians
  • Technology, he has authored a number of books about mathematics. Dimitri Bertsekas (1942–2026) - Member of the National Academy of Engineering professor

    List of Greek mathematicians

    List_of_Greek_mathematicians

  • Calculus of variations
  • Differential calculus on function spaces

    Calculus of Variations and its Applications". arXiv:math/0402357. Dimitri Bertsekas. Dynamic programming and optimal control. Athena Scientific, 2005

    Calculus of variations

    Calculus_of_variations

  • Mengdi Wang
  • Theoretical computer scientist

    Institute of Technology as a graduate student, where she worked alongside Dimitri Bertsekas. Her doctoral research developed stochastic methods for large-scale

    Mengdi Wang

    Mengdi_Wang

  • Mathematical optimization
  • Study of mathematical algorithms for optimization problems

    mathematical optimization include the following: Richard Bellman Dimitri Bertsekas Michel Bierlaire Stephen P. Boyd Roger Fletcher Martin Grötschel Ronald

    Mathematical optimization

    Mathematical optimization

    Mathematical_optimization

  • Relative interior
  • Generalization of topological interior

    Princeton, NJ: Princeton University Press. p. 47. ISBN 978-0-691-01586-6. Dimitri Bertsekas (1999). Nonlinear Programming (2nd ed.). Belmont, Massachusetts: Athena

    Relative interior

    Relative_interior

  • Convex function
  • Real function with secant line between points above the graph itself

    convexity · Xingyu Zhou's blog". xingyuzhou.org. Retrieved 2023-09-27. Dimitri Bertsekas (2003). Convex Analysis and Optimization. Contributors: Angelia Nedic

    Convex function

    Convex function

    Convex_function

  • National Technical University of Athens
  • Greek university

    Sciences, Washington University in St. Louis Dimitri Bertsekas – professor of engineering at MIT Dimitris Bertsimas – professor in the Sloan School of

    National Technical University of Athens

    National_Technical_University_of_Athens

  • Karush–Kuhn–Tucker conditions
  • Concept in mathematical optimization

    NJ: Princeton University Press. ISBN 978-0691119151. MR 2199043. Dimitri Bertsekas (1999). Nonlinear Programming (2 ed.). Athena Scientific. pp. 329–330

    Karush–Kuhn–Tucker conditions

    Karush–Kuhn–Tucker_conditions

  • John Tsitsiklis
  • Greek-American probabilist

    distributed systems" as well as the John von Neumann Theory Prize, with Dimitri Bertsekas, "for contributions to Parallel and Distributed Computation as well

    John Tsitsiklis

    John_Tsitsiklis

  • John von Neumann Theory Prize
  • Operations research and management sciences award

    2021 Alexander Shapiro 2020 Adrian Lewis 2019 Dimitris Bertsimas and Jong-Shi Pang 2018 Dimitri Bertsekas and John Tsitsiklis for contributions to Parallel

    John von Neumann Theory Prize

    John_von_Neumann_Theory_Prize

  • Deaths in June 2026
  • Surinamese Roman Catholic prelate, bishop of Paramaribo (2004–2014). Dimitri Bertsekas, 83, Greek mathematician. Sterling Betancourt, 96, Trinidadian steelpan

    Deaths in June 2026

    Deaths_in_June_2026

  • Robert G. Gallager
  • American electrical engineer (born 1931)

    Data Networks in 1988, with a second edition 1992, co-authored with Dimitri Bertsekas, which helped provide a conceptual foundation for this field. In the

    Robert G. Gallager

    Robert G. Gallager

    Robert_G._Gallager

  • Paul Tseng
  • Chinese-American mathematician

    optimization and had close collaborations with several colleagues, including Dimitri Bertsekas and Zhi-Quan Tom Luo. Tseng's research subjects include: Efficient

    Paul Tseng

    Paul Tseng

    Paul_Tseng

  • Recursive economics
  • Branch of modern economics

    Warren B. Powell, Approximate Dynamic Programming, 2d ed. Wiley, 2011, Dimitri Bertsekas, Dynamic Programming and Optimal Control, Athena Scientific 2005,

    Recursive economics

    Recursive_economics

  • List of people by Erdős number
  • Berestycki Zvi Bern Robert Bernecky Douglas Bernheim Daniel J. Bernstein Dimitri Bertsekas Michele Besso Hans Bethe Stefano Bianchini Edward Bierstone Eli Biham

    List of people by Erdős number

    List of people by Erdős number

    List_of_people_by_Erdős_number

  • MIT Department of Electrical Engineering and Computer Science
  • Academic department at the Massachusetts Institute of Technology

    Agarwal Akintunde I. Akinwande Dimitri A. Antoniadis Arvind Arthur B. Baggeroer Hari Balakrishnan Dimitri P. Bertsekas Robert C. Berwick Duane S. Boning

    MIT Department of Electrical Engineering and Computer Science

    MIT_Department_of_Electrical_Engineering_and_Computer_Science

  • Duality (optimization)
  • Principle in mathematical optimization

    ISBN 0-13-617549-X. Bertsekas, Dimitri; Nedic, Angelia; Ozdaglar, Asuman (2003). Convex Analysis and Optimization. Athena Scientific. ISBN 1-886529-45-0. Bertsekas, Dimitri

    Duality (optimization)

    Duality_(optimization)

  • Fundamental theorem of linear programming
  • Extremes of a linear function over a convex polygonal region occur at the region's corners

    . , x t {\displaystyle x_{1},...,x_{t}} , are optimal solutions. Bertsekas, Dimitri P. (1995). Nonlinear Programming (1st ed.). Belmont, Massachusetts:

    Fundamental theorem of linear programming

    Fundamental_theorem_of_linear_programming

  • Convex optimization
  • Subfield of mathematical optimization

    ISBN 978-1-886529-45-8. Bertsekas, Dimitri P. (2009). Convex Optimization Theory. Belmont, MA.: Athena Scientific. ISBN 978-1-886529-31-1. Bertsekas, Dimitri P. (2015)

    Convex optimization

    Convex_optimization

  • Hamilton–Jacobi–Bellman equation
  • Optimality condition in optimal control theory

    Optimal Control (3rd ed.). Wiley. p. 278. ISBN 978-0-470-63349-6. Bertsekas, Dimitri P. (2005). Dynamic Programming and Optimal Control. Athena Scientific

    Hamilton–Jacobi–Bellman equation

    Hamilton–Jacobi–Bellman_equation

  • Hellenic Operational Research Society
  • Non-profit research society based in Greece

    awarded: 1999 General Radamathis Spanogiannakis, Hellas 2000 Professor Dimitris Bertsekas, Massachusetts Institute of Technology (MIT), USA 2001 Professor Panagiotis

    Hellenic Operational Research Society

    Hellenic_Operational_Research_Society

  • Ira A. Fulton Schools of Engineering
  • Engineering college of Arizona State University

    Professor, School for Engineering of Matter, Transport and Energy Dimitri Bertsekas - Professor, School of Computing and Augmented Intelligence Gerald

    Ira A. Fulton Schools of Engineering

    Ira A. Fulton Schools of Engineering

    Ira_A._Fulton_Schools_of_Engineering

  • Dantzig Prize
  • Mathematical programming award

    2009: Gérard Cornuéjols 2012: Jorge Nocedal, Laurence Wolsey 2015: Dimitri P. Bertsekas 2018: Andrzej Piotr Ruszczyński, Alexander Shapiro 2021: Hedy Attouch

    Dantzig Prize

    Dantzig_Prize

  • Richard E. Bellman Control Heritage Award
  • Award given by the American Automatic Control Council

    Manfred Morari 2012: Arthur J. Krener 2013: A. Stephen Morse 2014: Dimitri Bertsekas 2015: Thomas F. Edgar 2016: Jason L. Speyer 2017: John Baras 2018:

    Richard E. Bellman Control Heritage Award

    Richard_E._Bellman_Control_Heritage_Award

  • Oriented matroid
  • Abstraction of ordered linear algebra

    Optimization. Wiley-Interscience. republished by Athena Scientific of Dimitri Bertsekas, 1998. Ziegler, Günter M. (1994). Lectures on Polytopes. New York:

    Oriented matroid

    Oriented matroid

    Oriented_matroid

  • Deterministic system
  • System in which no randomness is involved in determining its future states

    deterministic system - definition at The Internet Encyclopedia of Science Bertsekas, Dimitri P. (1987). Dynamic programming: deterministic and stochastic models

    Deterministic system

    Deterministic system

    Deterministic_system

  • Actor-critic algorithm
  • Reinforcement learning algorithms

    Cambridge, Massachusetts: The MIT Press. ISBN 978-0-262-03924-6. Bertsekas, Dimitri P. (2019). Reinforcement learning and optimal control (2 ed.). Belmont

    Actor-critic algorithm

    Actor-critic_algorithm

  • Steven E. Shreve
  • American mathematician

    Statistics. Stochastic Optimal Control: The Discrete Time Case with Dimitri P. Bertsekas, Academic Press, 1978. Brownian Motion and Stochastic Calculus with

    Steven E. Shreve

    Steven_E._Shreve

  • Ivar Ekeland
  • French mathematician (born 1944)

    MR 2449499. Bertsekas (1996, pp. 364–381)acknowledging Ekeland & Temam (1999) on page 374 and Aubin & Ekeland (1976) on page 381: Bertsekas, Dimitri P. (1996)

    Ivar Ekeland

    Ivar Ekeland

    Ivar_Ekeland

  • IEEE Roger W. Brockett Control Systems Award
  • Pramod Khargonekar 2020: Anders Lindquist 2021: Hidenori Kimura 2022: Dimitri Bertsekas 2023: Naomi Leonard 2024: Alain Bensoussan 2025: Malcolm C. Smith

    IEEE Roger W. Brockett Control Systems Award

    IEEE_Roger_W._Brockett_Control_Systems_Award

  • Claude Lemaréchal
  • French applied mathematician

    problems"), where nonconvexity appears because of integer constraints: Bertsekas, Dimitri P. (1982). "5.6 Large scale separable integer programming problems

    Claude Lemaréchal

    Claude Lemaréchal

    Claude_Lemaréchal

  • M. Grazia Speranza
  • Italian mathematician (born 1957)

    Zsolt Tuza of the Hungarian Academy of Science - Budapest (Hungary), Dimitri Bertsekas of the Massachusetts Institute of Technology (U.S.A.), Michel Gendreau

    M. Grazia Speranza

    M._Grazia_Speranza

  • Backtracking line search
  • Mathematical optimization method

    1007/s10107-011-0484-9. Bertsekas, Dimitri P. (2016), Nonlinear Programming, Athena Scientific, ISBN 978-1-886529-05-2 Bertsekas, D. P.; Tsitsiklis, J.

    Backtracking line search

    Backtracking_line_search

  • Lagrange multiplier
  • Method to solve constrained optimization problems

    by Vector Space Methods. New York: John Wiley & Sons. pp. 188–189. Bertsekas, Dimitri P. (1999). Nonlinear Programming (Second ed.). Cambridge, MA: Athena

    Lagrange multiplier

    Lagrange_multiplier

  • Step function
  • Linear combination of indicator functions of real intervals

    and measure. Cambridge University Press, 1973. ISBN 0-521-09751-7. Bertsekas, Dimitri P. (2002). Introduction to Probability. Tsitsiklis, John N., Τσιτσικλής

    Step function

    Step function

    Step_function

  • Policy gradient method
  • Class of reinforcement learning algorithms

    Cambridge, Massachusetts: The MIT Press. ISBN 978-0-262-03924-6. Bertsekas, Dimitri P. (2019). Reinforcement learning and optimal control (2 ed.). Belmont

    Policy gradient method

    Policy_gradient_method

  • John R. Ragazzini Award
  • Award for education in automatic control

    Peter Dorato 1999: Katsuhiko Ogata 2000: Hassan K. Khalil 2001: Dimitri P. Bertsekas 2002: Robert F. Stengel 2003: Stephen P. Boyd 2004: Mark W. Spong

    John R. Ragazzini Award

    John_R._Ragazzini_Award

  • Physical layer
  • OSI model layer for physical data transmission

    books for an open world". en.wikibooks.org. Retrieved 2019-02-15. Bertsekas, Dimitri; Gallager, Robert (1992). Data Networks. Prentice Hall. p. 61. ISBN 0-13-200916-1

    Physical layer

    Physical_layer

  • Lagrangian relaxation
  • Method in mathematical optimization

    ISBN 0-13-617549-X.{{cite book}}: CS1 maint: multiple names: authors list (link) Bertsekas, Dimitri P. (1999). Nonlinear Programming: 2nd Edition. Athena Scientific.

    Lagrangian relaxation

    Lagrangian_relaxation

  • Frank–Wolfe algorithm
  • Optimization algorithm

    Methodological. 18 (2): 169–177. doi:10.1016/0191-2615(84)90029-8. Bertsekas, Dimitri (1999). Nonlinear Programming. Athena Scientific. p. 215. ISBN 978-1-886529-00-7

    Frank–Wolfe algorithm

    Frank–Wolfe_algorithm

  • Bernoulli distribution
  • Probability distribution modeling a coin toss which need not be fair

    Statistics (1 ed.). Springer London. pp. 43–48. ISBN 9781849969529. Bertsekas, Dimitri P. (2002). Introduction to Probability. Tsitsiklis, John N., Τσιτσικλής

    Bernoulli distribution

    Bernoulli distribution

    Bernoulli_distribution

  • Bellman equation
  • Necessary condition for optimality associated with dynamic programming

    arXiv:2006.08175. doi:10.1016/j.automatica.2021.109510. S2CID 222350370. Bertsekas, Dimitri P. (2005). Dynamic Programming and Optimal Control (3rd ed.). Belmond

    Bellman equation

    Bellman equation

    Bellman_equation

  • Metric projection
  • arXiv:funct-an/9311001, Bibcode:1993funct.an.11001A Gafni, Eli M.; Bertsekas, Dimitri P. (November 1984). "Two-Metric Projection Methods for Constrained

    Metric projection

    Metric_projection

  • Hilbert's twenty-third problem
  • Promotes work on calculus of variations

    Calculus of Variations and its Applications". arXiv:math/0402357. Dimitri P Bertsekas. Dynamic programming and optimal control. Athena Scientific, 2005

    Hilbert's twenty-third problem

    Hilbert's_twenty-third_problem

  • Reinforcement learning
  • Field of machine learning

    reinforcement learning". Journal of Machine Learning Research. 11: 1563–1600. Bertsekas, Dimitri P. (2023) [2019]. Reinforcement Learning and Optimal Control (1st ed

    Reinforcement learning

    Reinforcement learning

    Reinforcement_learning

  • Geometric distribution
  • Probability distribution

    (1st ed.). Wiley. doi:10.1002/9780470627242. ISBN 978-0-470-39063-4. Bertsekas, Dimitri P.; Tsitsiklis, John N. (2008). Introduction to Probability. Optimization

    Geometric distribution

    Geometric distribution

    Geometric_distribution

  • Duality gap
  • Algorithms and Applications. Prentice Hall. ISBN 0-13-617549-X. Bertsekas, Dimitri P. (1999). Nonlinear Programming (2nd ed.). Athena Scientific. ISBN 1-886529-00-0

    Duality gap

    Duality_gap

  • Constrained optimization
  • Optimizing objective functions that have constrained variables

    solving constraint optimization problems." AAAI/IAAI, Vol. 1. 1996. Bertsekas, Dimitri P. (1982). Constrained Optimization and Lagrange Multiplier Methods

    Constrained optimization

    Constrained_optimization

  • Coordinate descent
  • Mathematical algorithm

    Publishers, pp. 471–477, doi:10.1007/BF00940196, S2CID 120052975 Bertsekas, Dimitri P. (1999). Nonlinear Programming, Second Edition Athena Scientific

    Coordinate descent

    Coordinate_descent

  • Computer network
  • Network that allows computers to share resources and communicate with each other

    Computer Networking with Internet Protocols and Technology. Pearson Education. Bertsekas, Dimitri; Gallager, Robert (1992). Data Networks. Prentice Hall.

    Computer network

    Computer network

    Computer_network

  • Value function
  • Maximized objective function of an optimization problem

    Economics. Cambridge: The MIT Press. p. 82. ISBN 978-0-262-01573-8. Bertsekas, Dimitri P.; Tsitsiklis, John N. (1996). Neuro-Dynamic Programming. Belmont:

    Value function

    Value_function

  • Assignment problem
  • Combinatorial optimization problem

    Assignment Problems (Revised reprint). SIAM. ISBN 978-1-61197-222-1. Bertsekas, Dimitri (1998). Network Optimization: Continuous and Discrete Models. Athena

    Assignment problem

    Assignment problem

    Assignment_problem

  • Interval (mathematics)
  • All numbers between two given numbers

    summarized in a section below possibly with links to separate articles. Bertsekas, Dimitri P. (1998). Network Optimization: Continuous and Discrete Methods.

    Interval (mathematics)

    Interval_(mathematics)

  • Chess engine
  • Computer program for chess analysis and game

    June 2018. Retrieved 17 June 2017. Gundawar, Atharva; Li, Yuchao; Bertsekas, Dimitri (2024). "Superior Computer Chess with Model Predictive Control, Reinforcement

    Chess engine

    Chess engine

    Chess_engine

  • Stochastic process
  • Collection of random variables

    Optical Engineering Press. ISBN 978-0-8194-2513-3 – via Google Books. Bertsekas, Dimitri P. (1996). Stochastic Optimal Control: The Discrete-Time Case. Athena

    Stochastic process

    Stochastic process

    Stochastic_process

  • Bucket queue
  • Data structure for integer priorities

    Structures: The Basic Toolbox, Springer, p. 201, ISBN 9783540779773. Bertsekas, Dimitri P. (1991), "Dial's algorithm", Linear Network Optimization: Algorithms

    Bucket queue

    Bucket queue

    Bucket_queue

  • Incremental deformations
  • 474 (2211) 20170728. doi:10.1098/rspa.2017.0728. ISSN 1364-5021. Bertsekas, Dimitri P. (1996). Constrained optimization and Lagrange multiplier methods

    Incremental deformations

    Incremental_deformations

  • Pierre-Louis Lions
  • French mathematician (born 1956)

    MR 1911872. S2CID 122667025. Zbl 1013.47032. Eckstein, Jonathan; Bertsekas, Dimitri P. (1992). "On the Douglas–Rachford splitting method and the proximal

    Pierre-Louis Lions

    Pierre-Louis Lions

    Pierre-Louis_Lions

  • Random variable
  • Variable representing a random phenomenon

    Probability and Measure (3rd ed.). Wiley. p. 187. ISBN 9781466575592. Bertsekas, Dimitri P. (2002). Introduction to Probability. Tsitsiklis, John N., Τσιτσικλής

    Random variable

    Random variable

    Random_variable

  • Shapley–Folkman lemma
  • Sums of sets of vectors are nearly convex

    experiments on page 373. Bertsekas (1996, pp. 364–381) acknowledging Ekeland (1999) on page 374 and Aubin & Ekeland (1976) on page 381: Bertsekas (1996, pp. 364–381)

    Shapley–Folkman lemma

    Shapley–Folkman lemma

    Shapley–Folkman_lemma

  • List of people in systems and control
  • of Honor (1979), Richard E. Bellman Control Heritage Award (1984) Dimitri P. Bertsekas (Δημήτρης Παντελής Μπερτσεκάς) Massachusetts Institute of Technology

    List of people in systems and control

    List_of_people_in_systems_and_control

  • List of members of the National Academy of Engineering (electronics)
  • SubCom 2016 Toby Berger (died 2022) University of Virginia 2006 Dimitri P. Bertsekas Massachusetts Institute of Technology 2001 Rajaram Bhat Corning Incorporated

    List of members of the National Academy of Engineering (electronics)

    List_of_members_of_the_National_Academy_of_Engineering_(electronics)

  • Mathematical economics
  • Branch of applied mathematics

    Symposium. Berkeley: University of California Press. pp. 481–492. Bertsekas, Dimitri P. (1999). Nonlinear Programming (Second ed.). Cambridge, Massachusetts

    Mathematical economics

    Mathematical_economics

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