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Eckstein, Jonathan

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Author ID: eckstein.jonathan Recent zbMATH articles by "Eckstein, Jonathan"
Published as: Eckstein, J.; Eckstein, Jonathan
External Links: MGP
Documents Indexed: 45 Publications since 1988

Publications by Year

Citations contained in zbMATH

39 Publications have been cited 2,125 times in 1,603 Documents Cited by Year
Distributed optimization and statistical learning via the alternating direction method of multipliers. Zbl 1229.90122
Boyd, Stephen; Parikh, Neal; Chu, Eric; Peleato, Borja; Eckstein, Jonathan
896
2010
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators. Zbl 0765.90073
Eckstein, Jonathan; Bertsekas, Dimitri P.
572
1992
Nonlinear proximal point algorithms using Bregman functions, with applications to convex programming. Zbl 0807.47036
Eckstein, Jonathan
132
1993
Approximate iterations in Bregman-function-based proximal algorithms. Zbl 0920.90117
Eckstein, Jonathan
77
1998
Understanding the convergence of the alternating direction method of multipliers: theoretical and computational perspectives. Zbl 1330.90074
Eckstein, Jonathan; Yao, Wang
52
2015
Some reformulations and applications of the alternating direction method of multipliers. Zbl 0816.90109
Eckstein, Jonathan; Fukushima, Masao
43
1994
A family of projective splitting methods for the sum of two maximal monotone operators. Zbl 1134.47048
Eckstein, Jonathan; Svaiter, B. F.
36
2008
General projective splitting methods for sums of maximal monotone operators. Zbl 1194.49038
Eckstein, Jonathan; Svaiter, B. F.
31
2009
A practical relative error criterion for augmented Lagrangians. Zbl 1362.90312
Eckstein, Jonathan; Silva, Paulo J. S.
24
2013
Dual coordinate step methods for linear network flow problems. Zbl 0664.90031
Bertsekas, Dimitri P.; Eckstein, Jonathan
24
1988
The maximum box problem and its application to data analysis. Zbl 1028.90039
Eckstein, Jonathan; Hammer, Peter L.; Liu, Ying; Nediak, Mikhail; Simeone, Bruno
20
2002
Operator-splitting methods for monotone affine variational inequalities, with a parallel application to optimal control. Zbl 1034.90531
Eckstein, Jonathan; Ferris, Michael C.
19
1998
Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions. Zbl 06857174
Combettes, Patrick L.; Eckstein, Jonathan
18
2018
Smooth methods of multipliers for complementarity problems. Zbl 0978.90094
Eckstein, Jonathan; Ferris, Michael C.
17
1999
Stochastic dedication: Designing fixed income portfolios using massively parallel Benders decomposition. Zbl 0800.90064
Hiller, Randall S.; Eckstein, Jonathan
16
1993
Rescaling and stepsize selection in proximal methods using separable generalized distances. Zbl 1039.90053
da Silva e Silva, Paulo José; Eckstein, Jonathan; Humes, Carlos jun.
15
2001
Relative-error approximate versions of Douglas-Rachford splitting and special cases of the ADMM. Zbl 1401.90151
Eckstein, Jonathan; Yao, Wang
14
2018
Parallel alternating direction multiplier decomposition of convex programs. Zbl 0797.90075
Eckstein, J.
14
1994
The alternating step method for monotropic programming on the connection machine CM-2. Zbl 0773.90055
Eckstein, Jonathan
12
1993
Approximate ADMM algorithms derived from Lagrangian splitting. Zbl 1378.90063
Eckstein, Jonathan; Yao, Wang
11
2017
A simplified form of block-iterative operator splitting and an asynchronous algorithm resembling the multi-block alternating direction method of multipliers. Zbl 06768800
Eckstein, Jonathan
11
2017
Parallel branch-and-bound algorithms for general mixed integer programming on the CM-5. Zbl 0819.90063
Eckstein, Jonathan
11
1994
PEBBL: an object-oriented framework for scalable parallel branch and bound. Zbl 1329.90171
Eckstein, Jonathan; Hart, William E.; Phillips, Cynthia A.
7
2015
Double-regularization proximal methods, with complementarity applications. Zbl 1111.90111
Silva, Paulo J. S.; Eckstein, Jonathan
7
2006
A practical general approximation criterion for methods of multipliers based on Bregman distances. Zbl 1023.90048
Eckstein, Jonathan
7
2003
PICO: An object-oriented framework for parallel branch and bound. Zbl 0989.90130
Eckstein, Jonathan; Phillips, Cynthia A.; Hart, William E.
7
2001
Arrival rate approximation by nonnegative cubic splines. Zbl 1167.90436
Alizadeh, Farid; Eckstein, Jonathan; Noyan, Nilay; Rudolf, Gábor
5
2008
Data-parallel implementations of dense simplex methods on the Connection Machine CM-2. Zbl 0842.90080
Eckstein, Jonathan; Boduroğlu, İ. İlkay; Polymenakos, Lazaros C.; Goldfarb, Donald
5
1995
Proximal methods for nonlinear programming: Double regularization and inexact subproblems. Zbl 1220.90164
Eckstein, Jonathan; Silva, Paulo J. S.
4
2010
Convergence rates for projective splitting. Zbl 07098595
Johnstone, Patrick R.; Eckstein, Jonathan
3
2019
Distributed versus centralized storage and control for parallel branch and bound: Mixed integer programming on the CM-5. Zbl 0881.90100
Eckstein, Jonathan
3
1997
Multilevel optimization modeling for risk-averse stochastic programming. Zbl 1338.90281
Eckstein, Jonathan; Eskandani, Deniz; Fan, Jingnan
2
2016
An improved branch-and-bound method for maximum monomial agreement. Zbl 06599273
Eckstein, Jonathan; Goldberg, Noam
2
2012
Sparse weighted voting classifier selection and its linear programming relaxations. Zbl 1243.68239
Goldberg, Noam; Eckstein, Jonathan
2
2012
Parallel computing in network optimization. Zbl 0839.90129
Bertsekas, Dimitri; Castañon, David; Eckstein, Jonathan; Zenios, Stavros
2
1995
Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms. Zbl 1432.90107
Alves, M. Marques; Eckstein, Jonathan; Geremia, Marina; Melo, Jefferson G.
1
2020
Projective splitting with forward steps only requires continuity. Zbl 1433.90113
Johnstone, Patrick R.; Eckstein, Jonathan
1
2020
Managing periodically updated data in relational databases: a stochastic modeling approach. Zbl 1323.68249
Gal, Avigdor; Eckstein, Jonathan
1
2001
How much communication does parallel branch and bound need? Zbl 0890.90148
Eckstein, Jonathan
1
1997
Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms. Zbl 1432.90107
Alves, M. Marques; Eckstein, Jonathan; Geremia, Marina; Melo, Jefferson G.
1
2020
Projective splitting with forward steps only requires continuity. Zbl 1433.90113
Johnstone, Patrick R.; Eckstein, Jonathan
1
2020
Convergence rates for projective splitting. Zbl 07098595
Johnstone, Patrick R.; Eckstein, Jonathan
3
2019
Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions. Zbl 06857174
Combettes, Patrick L.; Eckstein, Jonathan
18
2018
Relative-error approximate versions of Douglas-Rachford splitting and special cases of the ADMM. Zbl 1401.90151
Eckstein, Jonathan; Yao, Wang
14
2018
Approximate ADMM algorithms derived from Lagrangian splitting. Zbl 1378.90063
Eckstein, Jonathan; Yao, Wang
11
2017
A simplified form of block-iterative operator splitting and an asynchronous algorithm resembling the multi-block alternating direction method of multipliers. Zbl 06768800
Eckstein, Jonathan
11
2017
Multilevel optimization modeling for risk-averse stochastic programming. Zbl 1338.90281
Eckstein, Jonathan; Eskandani, Deniz; Fan, Jingnan
2
2016
Understanding the convergence of the alternating direction method of multipliers: theoretical and computational perspectives. Zbl 1330.90074
Eckstein, Jonathan; Yao, Wang
52
2015
PEBBL: an object-oriented framework for scalable parallel branch and bound. Zbl 1329.90171
Eckstein, Jonathan; Hart, William E.; Phillips, Cynthia A.
7
2015
A practical relative error criterion for augmented Lagrangians. Zbl 1362.90312
Eckstein, Jonathan; Silva, Paulo J. S.
24
2013
An improved branch-and-bound method for maximum monomial agreement. Zbl 06599273
Eckstein, Jonathan; Goldberg, Noam
2
2012
Sparse weighted voting classifier selection and its linear programming relaxations. Zbl 1243.68239
Goldberg, Noam; Eckstein, Jonathan
2
2012
Distributed optimization and statistical learning via the alternating direction method of multipliers. Zbl 1229.90122
Boyd, Stephen; Parikh, Neal; Chu, Eric; Peleato, Borja; Eckstein, Jonathan
896
2010
Proximal methods for nonlinear programming: Double regularization and inexact subproblems. Zbl 1220.90164
Eckstein, Jonathan; Silva, Paulo J. S.
4
2010
General projective splitting methods for sums of maximal monotone operators. Zbl 1194.49038
Eckstein, Jonathan; Svaiter, B. F.
31
2009
A family of projective splitting methods for the sum of two maximal monotone operators. Zbl 1134.47048
Eckstein, Jonathan; Svaiter, B. F.
36
2008
Arrival rate approximation by nonnegative cubic splines. Zbl 1167.90436
Alizadeh, Farid; Eckstein, Jonathan; Noyan, Nilay; Rudolf, Gábor
5
2008
Double-regularization proximal methods, with complementarity applications. Zbl 1111.90111
Silva, Paulo J. S.; Eckstein, Jonathan
7
2006
A practical general approximation criterion for methods of multipliers based on Bregman distances. Zbl 1023.90048
Eckstein, Jonathan
7
2003
The maximum box problem and its application to data analysis. Zbl 1028.90039
Eckstein, Jonathan; Hammer, Peter L.; Liu, Ying; Nediak, Mikhail; Simeone, Bruno
20
2002
Rescaling and stepsize selection in proximal methods using separable generalized distances. Zbl 1039.90053
da Silva e Silva, Paulo José; Eckstein, Jonathan; Humes, Carlos jun.
15
2001
PICO: An object-oriented framework for parallel branch and bound. Zbl 0989.90130
Eckstein, Jonathan; Phillips, Cynthia A.; Hart, William E.
7
2001
Managing periodically updated data in relational databases: a stochastic modeling approach. Zbl 1323.68249
Gal, Avigdor; Eckstein, Jonathan
1
2001
Smooth methods of multipliers for complementarity problems. Zbl 0978.90094
Eckstein, Jonathan; Ferris, Michael C.
17
1999
Approximate iterations in Bregman-function-based proximal algorithms. Zbl 0920.90117
Eckstein, Jonathan
77
1998
Operator-splitting methods for monotone affine variational inequalities, with a parallel application to optimal control. Zbl 1034.90531
Eckstein, Jonathan; Ferris, Michael C.
19
1998
Distributed versus centralized storage and control for parallel branch and bound: Mixed integer programming on the CM-5. Zbl 0881.90100
Eckstein, Jonathan
3
1997
How much communication does parallel branch and bound need? Zbl 0890.90148
Eckstein, Jonathan
1
1997
Data-parallel implementations of dense simplex methods on the Connection Machine CM-2. Zbl 0842.90080
Eckstein, Jonathan; Boduroğlu, İ. İlkay; Polymenakos, Lazaros C.; Goldfarb, Donald
5
1995
Parallel computing in network optimization. Zbl 0839.90129
Bertsekas, Dimitri; Castañon, David; Eckstein, Jonathan; Zenios, Stavros
2
1995
Some reformulations and applications of the alternating direction method of multipliers. Zbl 0816.90109
Eckstein, Jonathan; Fukushima, Masao
43
1994
Parallel alternating direction multiplier decomposition of convex programs. Zbl 0797.90075
Eckstein, J.
14
1994
Parallel branch-and-bound algorithms for general mixed integer programming on the CM-5. Zbl 0819.90063
Eckstein, Jonathan
11
1994
Nonlinear proximal point algorithms using Bregman functions, with applications to convex programming. Zbl 0807.47036
Eckstein, Jonathan
132
1993
Stochastic dedication: Designing fixed income portfolios using massively parallel Benders decomposition. Zbl 0800.90064
Hiller, Randall S.; Eckstein, Jonathan
16
1993
The alternating step method for monotropic programming on the connection machine CM-2. Zbl 0773.90055
Eckstein, Jonathan
12
1993
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators. Zbl 0765.90073
Eckstein, Jonathan; Bertsekas, Dimitri P.
572
1992
Dual coordinate step methods for linear network flow problems. Zbl 0664.90031
Bertsekas, Dimitri P.; Eckstein, Jonathan
24
1988
all top 5

Cited by 2,666 Authors

58 Yuan, Xiaoming
31 Han, Deren
26 He, Bingsheng
24 Bauschke, Heinz H.
21 Huang, Ting-Zhu
21 Verma, Ram U.
20 Ma, Shiqian
18 Boyd, Stephen Poythress
17 Eckstein, Jonathan
15 Bnouhachem, Abdellah
15 Combettes, Patrick L.
15 Tran Dinh Quoc
15 Zhao, Xile
14 He, Hongjin
14 Sun, Defeng
13 Noor, Muhammad Aslam
13 Toh, Kimchuan
12 Cai, Xingju
12 Li, Min
12 Wang, Shawn Xianfu
12 Zeng, Tie Yong
11 Lou, Yifei
11 Moursi, Walaa M.
11 Zhang, Shuzhong
11 Zhang, Wenxing
10 Iusem, Alfredo Noel
10 Ma, Tian-Hui
10 Teboulle, Marc
10 Yao, Jen-Chih
10 Zenios, Stavros Andrea
9 Chan, Raymond Hon-Fu
9 Liu, Sanyang
9 Ma, Feng
9 Silva, Paulo J. S.
9 Steidl, Gabriele
9 Sun, Min
9 Tao, Min
8 Bertsekas, Dimitri Panteli
8 Censor, Yair
8 Dong, Bin
8 Jung, Miyoun
8 Langenberg, Nils
8 Ng, Michael Kwok-Po
8 Pong, Ting Kei
8 Yin, Wotao
7 Boţ, Radu Ioan
7 Ceng, Lu-Chuan
7 Chen, Caihua
7 Cho, Yeol Je
7 Dong, Yunda
7 Gonçalves, Max L. N.
7 Hamdi, Abdelouahed
7 Kang, Myungjoo
7 Konnov, Igor V.
7 Lv, Xiaoguang
7 Melo, Jefferson G.
7 Shen, Yuan
7 Tichatschke, Rainer
7 Zhang, Xiaoqun
6 Burger, Martin
6 Chen, Jiawei
6 Chen, Liang
6 da Cruz Neto, João Xavier
6 Dao, Minh Ngoc
6 Goldfarb, Donald
6 Kang, Myeongmin
6 Kaplan, Aleksander A.
6 Kong, Lingchen
6 Li, Jueyou
6 Lin, Tianyi
6 Liu, Jun
6 Luo, Zhi-Quan
6 Morigi, Serena
6 Pesquet, Jean-Christophe
6 Peyré, Gabriel
6 Sabach, Shoham
6 Shen, Xiaotong
6 Strodiot, Jean-Jacques
6 Tseng, Paul
6 Wang, Kai
6 Wu, Zhongming
6 Xu, Minghua
6 Xu, Yangyang
6 Zhang, Liwei
5 Alves, M. Marques
5 Bredies, Kristian
5 Briceño-Arias, Luis M.
5 Burachik, Regina Sandra
5 Chambolle, Antonin
5 Chang, Huibin
5 Chen, Yunmei
5 Diehl, Moritz Mathias
5 Hong, Mingyi
5 Jiang, Hao
5 Jiao, Yuling
5 Jin, Qinian
5 Lanza, Alessandro
5 Li, Fang
5 Li, Guoyin
5 Liao, Li-Zhi
...and 2,566 more Authors
all top 5

Cited in 219 Serials

94 Journal of Optimization Theory and Applications
80 Computational Optimization and Applications
77 Mathematical Programming. Series A. Series B
56 SIAM Journal on Optimization
45 SIAM Journal on Imaging Sciences
42 Journal of Scientific Computing
41 Optimization
40 Automatica
35 Applied Mathematics and Computation
34 Journal of Global Optimization
33 Journal of Computational and Applied Mathematics
30 Journal of Mathematical Imaging and Vision
30 Optimization Methods & Software
29 Inverse Problems
26 Journal of Machine Learning Research (JMLR)
26 Optimization Letters
24 SIAM Journal on Scientific Computing
23 European Journal of Operational Research
22 Journal of the Operations Research Society of China
20 Journal of Inequalities and Applications
17 Computers & Mathematics with Applications
17 Machine Learning
17 Computational Statistics and Data Analysis
16 Mathematical Problems in Engineering
16 Fixed Point Theory and Applications
15 The Annals of Statistics
15 Numerical Algorithms
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Annals of Operations Research
14 Abstract and Applied Analysis
13 Journal of Mathematical Analysis and Applications
13 Information Sciences
13 Journal of the American Statistical Association
13 Inverse Problems and Imaging
12 Advances in Computational Mathematics
12 Mathematical Programming Computation
11 Numerical Functional Analysis and Optimization
11 Neural Networks
11 Applied Mathematical Modelling
11 Journal of Industrial and Management Optimization
10 Numerische Mathematik
10 Computers & Operations Research
10 Applied and Computational Harmonic Analysis
10 Electronic Journal of Statistics
9 Mathematics of Computation
9 Systems & Control Letters
9 Operations Research Letters
9 Applied Numerical Mathematics
9 Journal of Applied Mathematics and Computing
8 Journal of Multivariate Analysis
8 Mathematics of Operations Research
8 International Journal of Computer Vision
8 International Journal of Wavelets, Multiresolution and Information Processing
7 Journal of the Franklin Institute
7 Pattern Recognition
7 Set-Valued and Variational Analysis
7 Science China. Mathematics
6 SIAM Journal on Numerical Analysis
6 Applied Mathematics Letters
6 Mathematical and Computer Modelling
6 Neural Computation
6 Journal of Statistical Computation and Simulation
5 Discrete Applied Mathematics
5 International Journal of Control
5 SIAM Journal on Control and Optimization
5 Multidimensional Systems and Signal Processing
5 International Journal of Computer Mathematics
5 Computational and Applied Mathematics
5 Optimization and Engineering
5 Journal of Applied Mathematics
5 Computational & Mathematical Methods in Medicine
4 Computer Methods in Applied Mechanics and Engineering
4 Mathematical Methods in the Applied Sciences
4 International Journal of Mathematics and Mathematical Sciences
4 Asia-Pacific Journal of Operational Research
4 SIAM Journal on Matrix Analysis and Applications
4 Computational Statistics
4 INFORMS Journal on Computing
4 Mathematical Methods of Operations Research
4 Computational Geosciences
4 Foundations of Computational Mathematics
4 Analysis and Applications (Singapore)
4 Journal of Fixed Point Theory and Applications
4 Journal of Nonlinear Science and Applications
4 Statistics and Computing
4 Numerical Algebra, Control and Optimization
3 Applied Mathematics and Optimization
3 BIT
3 Journal of Approximation Theory
3 Journal of Econometrics
3 Circuits, Systems, and Signal Processing
3 Computer Aided Geometric Design
3 Journal of Economic Dynamics & Control
3 Automation and Remote Control
3 Complexity
3 European Journal of Control
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 RAIRO. Operations Research
3 Journal of Systems Science and Complexity
3 Acta Numerica
...and 119 more Serials
all top 5

Cited in 44 Fields

939 Operations research, mathematical programming (90-XX)
590 Numerical analysis (65-XX)
329 Calculus of variations and optimal control; optimization (49-XX)
254 Computer science (68-XX)
238 Operator theory (47-XX)
212 Information and communication theory, circuits (94-XX)
203 Statistics (62-XX)
82 Systems theory; control (93-XX)
61 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
46 Biology and other natural sciences (92-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
32 Partial differential equations (35-XX)
19 Combinatorics (05-XX)
18 Functional analysis (46-XX)
14 Probability theory and stochastic processes (60-XX)
12 Convex and discrete geometry (52-XX)
11 Real functions (26-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Optics, electromagnetic theory (78-XX)
8 Approximations and expansions (41-XX)
6 General topology (54-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Mechanics of deformable solids (74-XX)
6 Geophysics (86-XX)
5 Differential geometry (53-XX)
5 Quantum theory (81-XX)
4 History and biography (01-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Integral transforms, operational calculus (44-XX)
3 Fluid mechanics (76-XX)
3 Mathematics education (97-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Ordinary differential equations (34-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)

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