## Ben-Tal, Aharon

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 Author ID: ben-tal.aharon Published as: Ben-Tal, Aharon; Ben-Tal, A. Homepage: https://web.iem.technion.ac.il/en/people/userprofile/abental.html
 Documents Indexed: 122 Publications since 1972, including 4 Books Co-Authors: 63 Co-Authors with 111 Joint Publications 1,490 Co-Co-Authors
all top 5

### Co-Authors

 8 single-authored 30 Nemirovski, Arkadi S. 18 Teboulle, Marc 15 Ben-Israel, Adi 11 Zowe, Jochem 10 Beck, Amir 7 Charnes, Abraham 6 den Hertog, Dick 5 Zlobec, Sanjo 4 Bhattacharyya, Chiranjib 4 Eldar, Yonina Chana 3 Tetruashvili, Luba 2 Barzilai, Jonathan 2 Bendsøe, Martin Philip 2 Bhadra, Sahely 2 Brekelmans, Ruud C. M. 2 Eiger, Gideon 2 Golany, Boaz 2 Hochman, Eithan 2 Kočvara, Michal 2 Margalit, Tamar 2 Nath, Jagarlapudi Saketha 2 Postek, Krzysztof 2 Roos, Cornelis 2 Shtern, Shimrit 2 Vial, Jean-Philippe 1 Abigadol, Noomi 1 Achtziger, Wolfgang 1 Aflalo, Jonathan 1 Bachelis, Boris 1 Barb, Florin Dan 1 Barzilai, A. 1 Bertsimas, Dimitris John 1 Blanc, Johannes Pieter Cornelis 1 Boni, Odellia 1 Borwein, Jonathan Michael 1 Boyd, Stephen Poythress 1 Brown, David B. 1 de Ruiter, Frans J. C. T. 1 El Housni, Omar 1 Gal, Shmuel 1 Gershovitz, Vladimir 1 Gorissen, Bram L. 1 Goryashko, A. P. 1 Goyal, Vineet 1 Guslitzer, E. 1 Guttmann-Beck, Nili 1 Hazan, Elad 1 Jarre, Florian 1 Kanzow, Christian 1 Kerzner, L. 1 Kevrekidis, Ioannis George 1 Koren, Tomer 1 Kovara, M. 1 Mannor, Shie 1 Melamed, Michal 1 Melenberg, Bertrand 1 Melman, Aaron 1 Outrata, Jiří V. 1 Raman, Sankaran 1 Rosinger, Elemer E. 1 Saketha Nath, J. 1 Taylor, John Edward 1 Tind, Jørgen 1 Zibulevsky, Michael 1 Ziemba, William T.
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### Serials

 14 Mathematical Programming. Series A. Series B 12 SIAM Journal on Optimization 8 Mathematics of Operations Research 6 Operations Research 5 Journal of Optimization Theory and Applications 4 Operations Research Letters 4 SIAM Journal on Matrix Analysis and Applications 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 2 Applicable Analysis 2 IEEE Transactions on Information Theory 2 Journal of Mathematical Analysis and Applications 2 Mathematical Programming 2 Optimization 2 Annals of Operations Research 2 IEEE Transactions on Signal Processing 2 Mathematical Methods of Operations Research 2 Optimization and Engineering 2 Journal of Machine Learning Research (JMLR) 2 Computational Management Science 2 Naval Research Logistics Quarterly 1 Econometrica 1 Journal of Applied Probability 1 Journal of Geometry 1 Management Science 1 Mathematical Programming Study 1 SIAM Journal on Numerical Analysis 1 Physica D 1 IMPACT of Computing in Science and Engineering 1 Journal of Global Optimization 1 Journal of the Australian Mathematical Society. Series A 1 Linear Algebra and its Applications 1 Problems of Control and Information Theory 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Zeitschrift für Operations Research. Serie A: Theorie 1 INFORMS Journal on Computing 1 Mathematical Finance 1 SIAM Journal on Applied Dynamical Systems 1 Methods of Operations Research 1 MPS/SIAM Series on Optimization 1 Princeton Series in Applied Mathematics
all top 5

### Fields

 99 Operations research, mathematical programming (90-XX) 20 Numerical analysis (65-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Mechanics of deformable solids (74-XX) 9 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 8 Statistics (62-XX) 5 Computer science (68-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX)

### Citations contained in zbMATH Open

112 Publications have been cited 4,492 times in 2,714 Documents Cited by Year
Lectures on modern convex optimization. Analysis, algorithms, and engineering applications. Zbl 0986.90032
2001
Robust convex optimization. Zbl 0977.90052
Ben-Tal, A.; Nemirovski, A.
1998
Robust optimization. Zbl 1221.90001
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2009
Robust solutions of uncertain linear programs. Zbl 0941.90053
Ben-Tal, A.; Nemirovski, A.
1999
Robust solutions of linear programming problems contaminated with uncertain data. Zbl 0964.90025
2000
Adjustable robust solutions of uncertain linear programs. Zbl 1089.90037
Ben-Tal, A.; Goryashko, A.; Guslitzer, E.; Nemirovski, A.
2004
Robust optimization-methodology and applications. Zbl 1007.90047
2002
An old-new concept of convex risk measures: The optimized certainty equivalent. Zbl 1186.91116
Ben-Tal, Aharon; Teboulle, Marc
2007
A unified theory of first and second order conditions for extremum problems in topological vector spaces. Zbl 0494.49020
Ben-Tal, A.; Zowe, J.
1982
Robust truss topology design via semidefinite programming. Zbl 0899.90133
Ben-Tal, A.; Nemirovski, A.
1997
Second-order and related extremality conditions in nonlinear programming. Zbl 0416.90062
Ben-Tal, A.
1980
On polyhedral approximations of the second-order cone. Zbl 1082.90133
2001
Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Zbl 0488.90059
Ben-Tal, A.; Zowe, J.
1982
Duality in robust optimization: Primal worst equals dual best. Zbl 1154.90614
Beck, Amir; Ben-Tal, Aharon
2009
Selected topics in robust convex optimization. Zbl 1135.90046
2008
Ben-Tal, Aharon; Teboulle, Marc
1996
Ben-Tal, A.; Nemirovski, A.; Roos, C.
2002
On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty. Zbl 1008.90034
2002
Expected utility, penalty functions, and duality in stochastic nonlinear programming. Zbl 0625.90064
Ben-Tal, Aharon; Teboulle, Marc
1986
Optimality in nonlinear programming: a feasible directions approach. Zbl 0454.90043
Ben-Israel, A.; Ben-Tal, A.; Zlobec, S.
1981
Penalty/Barrier multiplier methods for convex programming problems. Zbl 0872.90068
Ben-Tal, Aharon; Zibulevsky, Michael
1997
Technical note: Directional derivatives in nonsmooth optimization. Zbl 0556.90074
Ben-Tal, A.; Zowe, J.
1985
Extending scope of robust optimization: comprehensive robust counterparts of uncertain problems. Zbl 1134.90042
Ben-Tal, Aharon; Boyd, Stephen; Nemirovski, Arkadi
2006
Global minimization by reducing the duality gap. Zbl 0807.90101
Ben-Tal, Aharon; Eiger, Gideon; Gershovitz, Vladimir
1994
Deriving robust counterparts of nonlinear uncertain inequalities. Zbl 1308.65089
Ben-Tal, Aharon; Den Hertog, Dick; Vial, Jean-Philippe
2015
A soft robust model for optimization under ambiguity. Zbl 1228.90060
Ben-Tal, Aharon; Bertsimas, Dimitris; Brown, David B.
2010
On generalized means and generalized convex functions. Zbl 0325.26007
Ben-Tal, A.
1977
Robust modeling of multi-stage portfolio problems. Zbl 1016.91055
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2000
A new method for optimal truss topology design. Zbl 0780.90076
Ben-Tal, Aharon; Bendsøe, Martin P.
1993
Non-Euclidean restricted memory level method for large-scale convex optimization. Zbl 1066.90079
2005
The ordered subsets mirror descent optimization method with applications to tomography. Zbl 0992.92034
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2001
Hidden conic quadratic representation of some nonconvex quadratic optimization problems. Zbl 1295.90036
Ben-Tal, Aharon; den Hertog, Dick
2014
On the solution of the Tikhonov regularization of the total least squares problem. Zbl 1112.65034
Beck, Amir; Ben-Tal, Aharon
2006
Optimal design of trusses under a nonconvex global buckling constraint. Zbl 1106.74388
Ben-Tal, Aharon; Jarre, Florian; Kočvara, Michal; Nemirovski, Arkadi; Zowe, Jochem
2000
Bounds on the expectation of a convex function of a random variable: With applications to stochastic programming. Zbl 0362.62014
Huang, C. C.; Ziemba, W. T.; Ben-Tal, A.
1977
Equivalent displacement based formulations for maximum strength truss topology design. Zbl 0769.73054
Achtziger, W.; Bendsøe, Martin P.; Ben-Tal, A.; Zowe, J.
1992
Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. Zbl 1115.65065
Beck, Amir; Ben-Tal, Aharon; Teboulle, Marc
2006
Penalty functions and duality in stochastic programming via $$\phi$$- divergence functionals. Zbl 0624.90076
Ben-Tal, A.; Teboulle, M.
1987
Characterization of optimality in convex programming without a constraint qualification. Zbl 0327.90025
Ben-Tal, A.; Ben-Israel, A.; Zlobec, S.
1976
A geometric property of the least squares solution of linear equations. Zbl 0704.15005
Ben-Tal, Aharon; Teboulle, Marc
1990
More bounds on the expectation of a convex function of a random variable. Zbl 0246.60011
Ben-Tal, A.; Hochman, E.
1972
A smoothing technique for nondifferentiable optimization problems. Zbl 0683.90078
Ben-Tal, A.; Teboulle, M.
1989
Necessary and sufficient conditions for a Pareto optimum in convex programming. Zbl 0367.90093
Ben-Israel, A.; Ben-Tal, A.; Charnes, A.
1977
The role of duality in optimization problems involving entropy functionals with applications to information theory. Zbl 0631.49007
Ben-Tal, A.; Teboulle, M.; Charnes, A.
1988
On safe tractable approximations of chance-constrained linear matrix inequalities. Zbl 1218.90140
2009
Technical note: Deriving robust and globalized robust solutions of uncertain linear programs with general convex uncertainty sets. Zbl 1302.90142
Gorissen, Bram L.; Blanc, Hans; den Hertog, Dick; Ben-Tal, Aharon
2014
Optimality conditions for convex semi-infinite programming problems. Zbl 0448.90045
Ben-Tal, A.; Kerzner, L.; Zlobec, S.
1980
Potential reduction polynomial time method for truss topology design. Zbl 0821.90137
1994
The CoMirror algorithm for solving nonsmooth constrained convex problems. Zbl 1202.90209
Beck, Amir; Ben-Tal, Aharon; Guttmann-Beck, Nili; Tetruashvili, Luba
2010
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0969.74051
Ben-Tal, A.; Kocvara, M.; Nemirovski, A.; Zowe, J.
1999
Certainty equivalents and information measures: Duality and extremal principles. Zbl 0736.94004
Ben-Tal, Aharon; Ben-Israel, Adi; Teboulle, Marc
1991
The entropic penalty approach to stochastic programming. Zbl 0565.90052
Ben-Tal, Aharon
1985
Oracle-based robust optimization via online learning. Zbl 1327.90379
Ben-Tal, Aharon; Hazan, Elad; Koren, Tomer; Mannor, Shie
2015
A dual approach to multidimensional $$L_ p$$ spectral estimation problems. Zbl 0672.93068
Ben-Tal, A.; Borwein, J. M.; Teboulle, M.
1988
Extended matrix cube theorems with applications to $$\mu$$-theory in control. Zbl 1082.90083
Ben-Tal, Aharon; Nemirovski, Arkadi; Roos, Cornelis
2003
Chance constrained uncertain classification via robust optimization. Zbl 1218.68117
Ben-Tal, Aharon; Bhadra, Sahely; Bhattacharyya, Chiranjib; Saketha Nath, J.
2011
Robust mean-squared error estimation in the presence of model uncertainties. Zbl 1370.93255
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2005
A recourse certainty equivalent for decisions under uncertainty. Zbl 0741.90001
1991
Curved search methods for unconstrained optimization. Zbl 0722.90071
Ben-Tal, A.; Melman, A.; Zowe, J.
1990
Robustness. Zbl 0957.90525
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2000
A sequential parametric convex approximation method with applications to nonconvex truss topology design problems. Zbl 1220.90095
Beck, Amir; Ben-Tal, Aharon; Tetruashvili, Luba
2010
Entropic means. Zbl 0675.26007
Ben-Tal, Aharon; Charnes, Abraham; Teboulle, Marc
1989
Stochastic programs with incomplete information. Zbl 0347.90053
Ben-Tal, Aharon; Hochman, Eithan
1976
A Helly-type theorem and semiinfinite programming. Zbl 0444.49023
Ben-Tal, A.; Rosinger, E. E.; Ben-Israel, A.
1979
Linear minimax regret estimation of deterministic parameters with bounded data uncertainties. Zbl 1369.93592
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2004
Second order optimality conditions for the $$L_ 1$$-minimization problem. Zbl 0566.49013
Ben-Tal, A.; Zowe, J.
1985
Portfolio theory for the recourse certainty equivalent maximizing investor. Zbl 0795.90002
Ben-Tal, Aharon; Teboulle, Marc
1991
Structural design. Zbl 0957.90529
2000
On a characterization of optimality in convex programming. Zbl 0352.90048
Ben-Israel, A.; Ben-Tal, A.
1976
Second order necessary optimality conditions for semi-infinite programming problems. Zbl 0409.90076
Ben-Tal, Aharon; Teboulle, Marc; Zowe, Jochen
1979
On approximate robust counterparts of uncertain semidefinite and conic quadratic programs. Zbl 1095.90588
2003
Symmetry restoration in a class of forced oscillators. Zbl 1034.34050
Ben-Tal, A.
2002
Robust optimization of uncertain multistage inventory systems with inexact data in decision rules. Zbl 1397.90047
de Ruiter, Frans J. C. T.; Ben-Tal, Aharon; Brekelmans, Ruud C. M.; den Hertog, Dick
2017
Characterizations of optimality in convex programming: The nondifferentiable case. Zbl 0408.90068
Ben-Tal, A.; Ben-Israel, A.
1979
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0984.74061
Ben-Tal, A.; Kovara, M.; Nemirovski, A.; Zowe, J.
2000
Robust optimization with ambiguous stochastic constraints under mean and dispersion information. Zbl 1455.90123
Postek, Krzysztof; Ben-Tal, Aharon; den Hertog, Dick; Melenberg, Bertrand
2018
Robust dissipativity of interval uncertain linear systems. Zbl 1049.93020
Barb, Florin Dan; Ben-Tal, Aharon; Nemirovski, Arkadi
2003
Boni, Odellia; Ben-Tal, Aharon
2008
A nondifferentiable approach to decomposable optimization problems with an application to the design of water distribution networks. Zbl 0790.90064
Ben-Tal, A.; Eiger, G.; Outrata, J.; Zowe, J.
1992
A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity. Zbl 0734.73097
Ben-Tal, Aharon; Teboulle, Marc; Yang, Wei H.
1991
A global solution for the structured total least squares problem with block circulant matrices. Zbl 1106.65034
Beck, Amir; Ben-Tal, Aharon
2005
Second order theory of extremum problems. Zbl 0432.90085
Ben-Tal, Aharon
1980
A dual optimization framework for some problems of information theory and statistics. Zbl 0437.90078
Ben-Tal, A.; Charnes, A.
1979
Optimality conditions in convex programming. Zbl 0446.90068
Ben-Israel, A.; Ben-Tal, A.; Zlobec, S.
1980
A tractable approach for designing piecewise affine policies in two-stage adjustable robust optimization. Zbl 1445.90071
Ben-Tal, Aharon; El Housni, Omar; Goyal, Vineet
2020
Rate distortion theory with generalized information measures via convex programming duality. Zbl 0618.94010
Ben-Tal, Aharon; Teboulle, Marc
1986
Globalized robust optimization for nonlinear uncertain inequalities. Zbl 1371.90092
Ben-Tal, Aharon; Brekelmans, Ruud; den Hertog, Dick; Vial, Jean-Philippe
2017
F-convex functions: Properties and applications. Zbl 0535.90074
Ben-Tal, A.; Ben-Israel, A.
1981
A fast method for finding the global solution of the regularized structured total least squares problem for image deblurring. Zbl 1156.90429
Beck, Amir; Ben-Tal, Aharon; Kanzow, Christian
2008
A conjugate duality scheme generating a new class of differentiable duals. Zbl 0856.90086
Ben-Tal, Aharon; Teboulle, Marc
1996
A unified model for elastoplastic structural analysis via dual variational principles. Zbl 0767.73093
Ben-Tal, Aharon; Taylor, John E.
1992
Robust mean-squared error estimation of multiple signals in linear systems affected by model and noise uncertainties. Zbl 1135.93031
Beck, Amir; Ben-Tal, Aharon; Eldar, Yonina C.
2006
Primal geometric programs treated by linear programming. Zbl 0346.90050
1976
Nonpolynomial and inverse interpolation for line search: Synthesis and convergence rates. Zbl 0493.65026
Barzilai, J.; Ben-Tal, A.
1982
Ordered incidence geometry and the geometric foundations of convexity theory. Zbl 0629.51013
1987
A semi-definite programming approach for robust tracking. Zbl 1353.90105
Shtern, Shimrit; Ben-Tal, Aharon
2016
Variable sparsity kernel learning. Zbl 1280.68152
Aflalo, Jonathan; Ben-Tal, Aharon; Bhattacharyya, Chiranjib; Saketha Nath, Jagarlapudi; Raman, Sankaran
2011
Efficient methods for robust classification under uncertainty in kernel matrices. Zbl 1433.68326
2012
Mean-squared error estimation for linear systems with block circulant uncertainty. Zbl 1154.90007
Beck, Amir; Eldar, Yonina C.; Ben-Tal, Aharon
2007
A new class of feasible direction methods. Zbl 0405.90057
Ben-Tal, A.; Zlobec, S.
1979
A tractable approach for designing piecewise affine policies in two-stage adjustable robust optimization. Zbl 1445.90071
Ben-Tal, Aharon; El Housni, Omar; Goyal, Vineet
2020
Robust optimization with ambiguous stochastic constraints under mean and dispersion information. Zbl 1455.90123
Postek, Krzysztof; Ben-Tal, Aharon; den Hertog, Dick; Melenberg, Bertrand
2018
Robust optimization of uncertain multistage inventory systems with inexact data in decision rules. Zbl 1397.90047
de Ruiter, Frans J. C. T.; Ben-Tal, Aharon; Brekelmans, Ruud C. M.; den Hertog, Dick
2017
Globalized robust optimization for nonlinear uncertain inequalities. Zbl 1371.90092
Ben-Tal, Aharon; Brekelmans, Ruud; den Hertog, Dick; Vial, Jean-Philippe
2017
A semi-definite programming approach for robust tracking. Zbl 1353.90105
Shtern, Shimrit; Ben-Tal, Aharon
2016
On the average performance of the adjustable RO and its use as an offline tool for multi-period production planning under uncertainty. Zbl 1397.90314
Melamed, Michal; Ben-Tal, Aharon; Golany, Boaz
2016
Computational methods for solving nonconvex block-separable constrained quadratic problems. Zbl 1338.90293
Shtern, Shimrit; Ben-Tal, Aharon
2016
Coarse-graining and simplification of the dynamics seen in bursting neurons. Zbl 1353.37164
Ben-Tal, A.; Kevrekidis, I. G.
2016
Deriving robust counterparts of nonlinear uncertain inequalities. Zbl 1308.65089
Ben-Tal, Aharon; Den Hertog, Dick; Vial, Jean-Philippe
2015
Oracle-based robust optimization via online learning. Zbl 1327.90379
Ben-Tal, Aharon; Hazan, Elad; Koren, Tomer; Mannor, Shie
2015
On solving large-scale polynomial convex problems by randomized first-order algorithms. Zbl 1338.90249
2015
Hidden conic quadratic representation of some nonconvex quadratic optimization problems. Zbl 1295.90036
Ben-Tal, Aharon; den Hertog, Dick
2014
Technical note: Deriving robust and globalized robust solutions of uncertain linear programs with general convex uncertainty sets. Zbl 1302.90142
Gorissen, Bram L.; Blanc, Hans; den Hertog, Dick; Ben-Tal, Aharon
2014
Robust formulations for clustering-based large-scale classification. Zbl 1294.62141
Saketha Nath, Jagarlapudi; Ben-Tal, Aharon; Bhattacharyya, Chiranjib
2013
Efficient methods for robust classification under uncertainty in kernel matrices. Zbl 1433.68326
2012
A sequential ascending parameter method for solving constrained minimization problems. Zbl 1269.90076
Beck, Amir; Ben-Tal, Aharon; Tetruashvili, Luba
2012
Chance constrained uncertain classification via robust optimization. Zbl 1218.68117
Ben-Tal, Aharon; Bhadra, Sahely; Bhattacharyya, Chiranjib; Saketha Nath, J.
2011
Variable sparsity kernel learning. Zbl 1280.68152
Aflalo, Jonathan; Ben-Tal, Aharon; Bhattacharyya, Chiranjib; Saketha Nath, Jagarlapudi; Raman, Sankaran
2011
A soft robust model for optimization under ambiguity. Zbl 1228.90060
Ben-Tal, Aharon; Bertsimas, Dimitris; Brown, David B.
2010
The CoMirror algorithm for solving nonsmooth constrained convex problems. Zbl 1202.90209
Beck, Amir; Ben-Tal, Aharon; Guttmann-Beck, Nili; Tetruashvili, Luba
2010
A sequential parametric convex approximation method with applications to nonconvex truss topology design problems. Zbl 1220.90095
Beck, Amir; Ben-Tal, Aharon; Tetruashvili, Luba
2010
Robust optimization. Zbl 1221.90001
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2009
Duality in robust optimization: Primal worst equals dual best. Zbl 1154.90614
Beck, Amir; Ben-Tal, Aharon
2009
On safe tractable approximations of chance-constrained linear matrix inequalities. Zbl 1218.90140
2009
Selected topics in robust convex optimization. Zbl 1135.90046
2008
Boni, Odellia; Ben-Tal, Aharon
2008
A fast method for finding the global solution of the regularized structured total least squares problem for image deblurring. Zbl 1156.90429
Beck, Amir; Ben-Tal, Aharon; Kanzow, Christian
2008
An old-new concept of convex risk measures: The optimized certainty equivalent. Zbl 1186.91116
Ben-Tal, Aharon; Teboulle, Marc
2007
Mean-squared error estimation for linear systems with block circulant uncertainty. Zbl 1154.90007
Beck, Amir; Eldar, Yonina C.; Ben-Tal, Aharon
2007
Extending scope of robust optimization: comprehensive robust counterparts of uncertain problems. Zbl 1134.90042
Ben-Tal, Aharon; Boyd, Stephen; Nemirovski, Arkadi
2006
On the solution of the Tikhonov regularization of the total least squares problem. Zbl 1112.65034
Beck, Amir; Ben-Tal, Aharon
2006
Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. Zbl 1115.65065
Beck, Amir; Ben-Tal, Aharon; Teboulle, Marc
2006
Robust mean-squared error estimation of multiple signals in linear systems affected by model and noise uncertainties. Zbl 1135.93031
Beck, Amir; Ben-Tal, Aharon; Eldar, Yonina C.
2006
Non-Euclidean restricted memory level method for large-scale convex optimization. Zbl 1066.90079
2005
Robust mean-squared error estimation in the presence of model uncertainties. Zbl 1370.93255
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2005
A global solution for the structured total least squares problem with block circulant matrices. Zbl 1106.65034
Beck, Amir; Ben-Tal, Aharon
2005
Adjustable robust solutions of uncertain linear programs. Zbl 1089.90037
Ben-Tal, A.; Goryashko, A.; Guslitzer, E.; Nemirovski, A.
2004
Linear minimax regret estimation of deterministic parameters with bounded data uncertainties. Zbl 1369.93592
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2004
Extended matrix cube theorems with applications to $$\mu$$-theory in control. Zbl 1082.90083
Ben-Tal, Aharon; Nemirovski, Arkadi; Roos, Cornelis
2003
On approximate robust counterparts of uncertain semidefinite and conic quadratic programs. Zbl 1095.90588
2003
Robust dissipativity of interval uncertain linear systems. Zbl 1049.93020
Barb, Florin Dan; Ben-Tal, Aharon; Nemirovski, Arkadi
2003
Robust optimization-methodology and applications. Zbl 1007.90047
2002
Ben-Tal, A.; Nemirovski, A.; Roos, C.
2002
On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty. Zbl 1008.90034
2002
Symmetry restoration in a class of forced oscillators. Zbl 1034.34050
Ben-Tal, A.
2002
Lectures on modern convex optimization. Analysis, algorithms, and engineering applications. Zbl 0986.90032
2001
On polyhedral approximations of the second-order cone. Zbl 1082.90133
2001
The ordered subsets mirror descent optimization method with applications to tomography. Zbl 0992.92034
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2001
Robust solutions of linear programming problems contaminated with uncertain data. Zbl 0964.90025
2000
Robust modeling of multi-stage portfolio problems. Zbl 1016.91055
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2000
Optimal design of trusses under a nonconvex global buckling constraint. Zbl 1106.74388
Ben-Tal, Aharon; Jarre, Florian; Kočvara, Michal; Nemirovski, Arkadi; Zowe, Jochem
2000
Robustness. Zbl 0957.90525
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2000
Structural design. Zbl 0957.90529
2000
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0984.74061
Ben-Tal, A.; Kovara, M.; Nemirovski, A.; Zowe, J.
2000
Robust solutions of uncertain linear programs. Zbl 0941.90053
Ben-Tal, A.; Nemirovski, A.
1999
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0969.74051
Ben-Tal, A.; Kocvara, M.; Nemirovski, A.; Zowe, J.
1999
Robust convex optimization. Zbl 0977.90052
Ben-Tal, A.; Nemirovski, A.
1998
Robust truss topology design via semidefinite programming. Zbl 0899.90133
Ben-Tal, A.; Nemirovski, A.
1997
Penalty/Barrier multiplier methods for convex programming problems. Zbl 0872.90068
Ben-Tal, Aharon; Zibulevsky, Michael
1997
Duality and equilibrium prices in economics of uncertainty. Zbl 0886.90057
1997
Ben-Tal, Aharon; Teboulle, Marc
1996
A conjugate duality scheme generating a new class of differentiable duals. Zbl 0856.90086
Ben-Tal, Aharon; Teboulle, Marc
1996
Global minimization by reducing the duality gap. Zbl 0807.90101
Ben-Tal, Aharon; Eiger, Gideon; Gershovitz, Vladimir
1994
Potential reduction polynomial time method for truss topology design. Zbl 0821.90137
1994
A new method for optimal truss topology design. Zbl 0780.90076
Ben-Tal, Aharon; Bendsøe, Martin P.
1993
Equivalent displacement based formulations for maximum strength truss topology design. Zbl 0769.73054
Achtziger, W.; Bendsøe, Martin P.; Ben-Tal, A.; Zowe, J.
1992
A nondifferentiable approach to decomposable optimization problems with an application to the design of water distribution networks. Zbl 0790.90064
Ben-Tal, A.; Eiger, G.; Outrata, J.; Zowe, J.
1992
A unified model for elastoplastic structural analysis via dual variational principles. Zbl 0767.73093
Ben-Tal, Aharon; Taylor, John E.
1992
Certainty equivalents and information measures: Duality and extremal principles. Zbl 0736.94004
Ben-Tal, Aharon; Ben-Israel, Adi; Teboulle, Marc
1991
A recourse certainty equivalent for decisions under uncertainty. Zbl 0741.90001
1991
Portfolio theory for the recourse certainty equivalent maximizing investor. Zbl 0795.90002
Ben-Tal, Aharon; Teboulle, Marc
1991
A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity. Zbl 0734.73097
Ben-Tal, Aharon; Teboulle, Marc; Yang, Wei H.
1991
A geometric property of the least squares solution of linear equations. Zbl 0704.15005
Ben-Tal, Aharon; Teboulle, Marc
1990
Curved search methods for unconstrained optimization. Zbl 0722.90071
Ben-Tal, A.; Melman, A.; Zowe, J.
1990
A smoothing technique for nondifferentiable optimization problems. Zbl 0683.90078
Ben-Tal, A.; Teboulle, M.
1989
Entropic means. Zbl 0675.26007
Ben-Tal, Aharon; Charnes, Abraham; Teboulle, Marc
1989
The role of duality in optimization problems involving entropy functionals with applications to information theory. Zbl 0631.49007
Ben-Tal, A.; Teboulle, M.; Charnes, A.
1988
A dual approach to multidimensional $$L_ p$$ spectral estimation problems. Zbl 0672.93068
Ben-Tal, A.; Borwein, J. M.; Teboulle, M.
1988
Extension of some results for channel capacity using a generalized information measure. Zbl 0641.94008
Ben-Tal, Aharon; Teboulle, Marc
1988
Penalty functions and duality in stochastic programming via $$\phi$$- divergence functionals. Zbl 0624.90076
Ben-Tal, A.; Teboulle, M.
1987
Ordered incidence geometry and the geometric foundations of convexity theory. Zbl 0629.51013
1987
Expected utility, penalty functions, and duality in stochastic nonlinear programming. Zbl 0625.90064
Ben-Tal, Aharon; Teboulle, Marc
1986
Rate distortion theory with generalized information measures via convex programming duality. Zbl 0618.94010
Ben-Tal, Aharon; Teboulle, Marc
1986
Technical note: Directional derivatives in nonsmooth optimization. Zbl 0556.90074
Ben-Tal, A.; Zowe, J.
1985
The entropic penalty approach to stochastic programming. Zbl 0565.90052
Ben-Tal, Aharon
1985
Second order optimality conditions for the $$L_ 1$$-minimization problem. Zbl 0566.49013
Ben-Tal, A.; Zowe, J.
1985
A minmax-search for the critical level of a system: The asymmetric case. Zbl 0579.90039
1985
A duality theory for a class of problems with essentially unconstrained duals. Zbl 0513.90067
Ben-Tal, A.; Barzilai, A.; Charnes, A.
1983
A unified theory of first and second order conditions for extremum problems in topological vector spaces. Zbl 0494.49020
Ben-Tal, A.; Zowe, J.
1982
Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Zbl 0488.90059
Ben-Tal, A.; Zowe, J.
1982
Nonpolynomial and inverse interpolation for line search: Synthesis and convergence rates. Zbl 0493.65026
Barzilai, J.; Ben-Tal, A.
1982
Optimality in nonlinear programming: a feasible directions approach. Zbl 0454.90043
Ben-Israel, A.; Ben-Tal, A.; Zlobec, S.
1981
F-convex functions: Properties and applications. Zbl 0535.90074
Ben-Tal, A.; Ben-Israel, A.
1981
Second-order and related extremality conditions in nonlinear programming. Zbl 0416.90062
Ben-Tal, A.
1980
Optimality conditions for convex semi-infinite programming problems. Zbl 0448.90045
Ben-Tal, A.; Kerzner, L.; Zlobec, S.
1980
Second order theory of extremum problems. Zbl 0432.90085
Ben-Tal, Aharon
1980
Optimality conditions in convex programming. Zbl 0446.90068
Ben-Israel, A.; Ben-Tal, A.; Zlobec, S.
1980
Characterization of Pareto and lexicographic optimal solutions. Zbl 0443.90097
Ben-Tal, Aharon
1980
A Helly-type theorem and semiinfinite programming. Zbl 0444.49023
Ben-Tal, A.; Rosinger, E. E.; Ben-Israel, A.
1979
Second order necessary optimality conditions for semi-infinite programming problems. Zbl 0409.90076
Ben-Tal, Aharon; Teboulle, Marc; Zowe, Jochen
1979
...and 12 more Documents
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### Cited by 3,724 Authors

 51 Jeyakumar, Vaithilingam 40 Ben-Tal, Aharon 31 Bertsimas, Dimitris John 31 Goerigk, Marc 31 Li, Guoyin 25 Pinar, Mustafa Çelebi 22 Kuhn, Daniel 22 Xia, Yong 21 Nemirovski, Arkadi S. 20 Yang, Xiaoqi 19 den Hertog, Dick 19 Poss, Michael 18 Kanno, Yoshihiro 18 Salahi, Maziar 18 Schöbel, Anita 18 Zlobec, Sanjo 17 Fang, Shu-Cherng 16 Boyd, Stephen Poythress 16 Teboulle, Marc 15 Chuong, Thai Doan 15 Wiesemann, Wolfram 14 Atamtürk, Alper 14 Beck, Amir 14 Goberna, Miguel Angel 14 Li, Duan 14 Rustem, Berc 14 Zhang, Liwei 13 Borwein, Jonathan Michael 13 Gasnikov, Alexander V. 13 Kočvara, Michal 13 Lee, Gue Myung 12 Juditsky, Anatoli B. 12 Polyak, Boris Teodorovich 12 Teo, Kok Lay 12 Van Ackooij, Wim 12 Wolkowicz, Henry 11 Chassein, André B. 11 Nie, Jiawang 11 Pardalos, Panos M. 11 Sim, Melvyn 10 Dey, Santanu S. 10 Guigues, Vincent 10 Lan, Guanghui 10 López-Cerdá, Marco Antonio 10 Pastor, Karel 10 Stolpe, Mathias 10 Vielma, Juan Pablo 10 Zhang, Shuzhong 9 Krokhmal, Pavlo A. 9 Lee, Jae Hyoung 9 Shapiro, Alexander 9 Sun, Jie 9 Terlaky, Tamás 9 Weber, Gerhard-Wilhelm 9 Zowe, Jochem 8 Antczak, Tadeusz 8 Ben-Israel, Adi 8 Buchheim, Christoph 8 Campi, Marco Claudio 8 Deng, Zhibin 8 Georghiou, Angelos 8 Gotoh, Jun-ya 8 Goyal, Vineet 8 Henrion, Didier 8 Ivanov, Vsevolod Ivanov 8 Klep, Igor 8 Köbis, Elisabeth 8 Kurtz, Jannis 8 Lasserre, Jean-Bernard 8 Misener, Ruth 8 Ouorou, Adam 8 Pokutta, Sebastian 8 Takeda, Akiko 8 Xing, Wenxun 8 Xu, Huifu 7 Bednařík, Dušan 7 Bomze, Immanuel M. 7 Chen, Jiawei 7 Chen, Zhiping 7 Goulart, Paul J. 7 Hanasusanto, Grani A. 7 Helton, John William 7 Jiang, Rujun 7 Kılınç Karzan, Fatma 7 Liers, Frauke 7 Penot, Jean-Paul 7 Sun, Xiangkai 7 Thiele, Aurélie C. 7 Tran Dinh Quoc 7 Tunçel, Levent 6 Ahmed, Shabbir 6 Calafiore, Giuseppe Carlo 6 Charnes, Abraham 6 Chen, Chunrong 6 Delage, Erick 6 Fabozzi, Frank J. 6 Fallahi, Saeed 6 Fawzi, Hamza 6 Floudas, Christodoulos Achilleus 6 Ginchev, Ivan G. ...and 3,624 more Authors
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### Cited in 336 Serials

 230 European Journal of Operational Research 211 Mathematical Programming. Series A. Series B 152 Journal of Optimization Theory and Applications 108 Journal of Global Optimization 83 Optimization 81 SIAM Journal on Optimization 78 Computers & Operations Research 78 Annals of Operations Research 72 Optimization Letters 70 Operations Research Letters 65 Computational Optimization and Applications 49 Operations Research 45 Automatica 44 Optimization and Engineering 39 Optimization Methods & Software 28 Computational Management Science 26 Computer Methods in Applied Mechanics and Engineering 26 Applied Mathematics and Optimization 25 Mathematics of Operations Research 25 Linear Algebra and its Applications 25 Journal of Industrial and Management Optimization 24 INFORMS Journal on Computing 22 Journal of Computational and Applied Mathematics 22 Structural and Multidisciplinary Optimization 21 Applied Mathematical Modelling 19 Mathematical Methods of Operations Research 18 Journal of Mathematical Analysis and Applications 17 Automation and Remote Control 17 Mathematical Problems in Engineering 16 Mathematical Programming 16 Set-Valued and Variational Analysis 15 Applied Mathematics and Computation 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 OR Spectrum 15 Discrete Optimization 13 International Journal for Numerical Methods in Engineering 13 Numerical Functional Analysis and Optimization 13 Journal of the Operations Research Society of China 12 Positivity 12 Journal of Scheduling 12 EURO Journal on Computational Optimization 11 Discrete Applied Mathematics 11 Systems & Control Letters 11 Top 11 Journal of Inequalities and Applications 11 Mathematical Programming Computation 10 International Journal of Control 10 Insurance Mathematics & Economics 10 Computational and Applied Mathematics 10 Journal of Combinatorial Optimization 10 Nonlinear Analysis. Theory, Methods & Applications 9 Applicable Analysis 9 Applications of Mathematics 8 Transactions of the American Mathematical Society 8 CEJOR. Central European Journal of Operations Research 8 Quantitative Finance 8 Networks and Spatial Economics 8 Numerical Algebra, Control and Optimization 8 SIAM Journal on Applied Algebra and Geometry 7 The Annals of Statistics 7 Asia-Pacific Journal of Operational Research 7 Mathematical and Computer Modelling 7 Numerical Algorithms 7 Computational Statistics and Data Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 RAIRO. Operations Research 6 Fuzzy Sets and Systems 6 Networks 6 Discrete & Computational Geometry 6 Japan Journal of Industrial and Applied Mathematics 6 Computational Mathematics and Mathematical Physics 6 SIAM Journal on Scientific Computing 6 European Journal of Control 6 Abstract and Applied Analysis 6 Discrete Dynamics in Nature and Society 5 Computers & Mathematics with Applications 5 Journal of the Franklin Institute 5 Journal of Statistical Planning and Inference 5 Applied Numerical Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Computational Mechanics 5 Machine Learning 5 SIAM Review 5 ZOR. Zeitschrift für Operations Research 5 Cybernetics and Systems Analysis 5 Journal of Mathematical Sciences (New York) 5 International Transactions in Operational Research 5 Mathematical Finance 5 Vietnam Journal of Mathematics 5 Foundations of Computational Mathematics 5 Journal of Applied Mathematics 5 4OR 5 Electronic Journal of Statistics 5 SIAM Journal on Financial Mathematics 5 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 4 Information Sciences 4 Kybernetika 4 Naval Research Logistics 4 Opsearch 4 SIAM Journal on Control and Optimization ...and 236 more Serials
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### Cited in 54 Fields

 2,200 Operations research, mathematical programming (90-XX) 373 Calculus of variations and optimal control; optimization (49-XX) 361 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 296 Numerical analysis (65-XX) 162 Systems theory; control (93-XX) 153 Statistics (62-XX) 134 Computer science (68-XX) 108 Mechanics of deformable solids (74-XX) 66 Convex and discrete geometry (52-XX) 65 Linear and multilinear algebra; matrix theory (15-XX) 62 Probability theory and stochastic processes (60-XX) 45 Real functions (26-XX) 42 Information and communication theory, circuits (94-XX) 36 Functional analysis (46-XX) 35 Operator theory (47-XX) 18 Algebraic geometry (14-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Combinatorics (05-XX) 17 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 14 Quantum theory (81-XX) 12 Approximations and expansions (41-XX) 9 History and biography (01-XX) 6 Number theory (11-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Mathematics education (97-XX)