Edit Profile (opens in new tab) Teboulle, Marc Compute Distance To: Compute Author ID: teboulle.marc Published as: Teboulle, Marc; Teboulle, M. Documents Indexed: 101 Publications since 1979, including 1 Book 1 Contribution as Editor Co-Authors: 46 Co-Authors with 97 Joint Publications 1,665 Co-Co-Authors all top 5 Co-Authors 5 single-authored 21 Beck, Amir 18 Ben-Tal, Aharon 14 Auslender, Alfred 10 Sabach, Shoham 7 Bolte, Jérôme 6 Iusem, Alfredo Noel 4 Drori, Yoel 4 Shefi, Ron 3 Ben-Tiba, Sami 3 Hallak, Nadav 3 Luke, David Russell 2 Attouch, Hedy 2 Bauschke, Heinz H. 2 Charnes, Abraham 2 Chen, Gong 2 Hershkovitz, Moshe 2 Kogan, Jacob 2 Luss, Ronny 2 Svaiter, Benar Fux 2 Tasch, Uri 2 Vaisbourd, Yakov 1 Ben-Israel, Adi 1 Birge, John R. 1 Borwein, Jonathan Michael 1 Ceng, Lu-Chuan 1 Chen, Jiawei 1 Chikishev, Zahar 1 Cohen, Eyal 1 Doljansky, Moshe 1 Eldar, Yonina Chana 1 Gowda, Muddappa Seetharama 1 Nedić, Angelia 1 Nicholas, Charles K. 1 Ozdaglar, Asuman E. 1 Pinar, Mustafa Çelebi 1 Polyak, Roman A. 1 Redont, Patrick 1 Silva, Paulo J. S. 1 Thao, Nguyen Hieu 1 Tzelgov, Joseph 1 Vajda, Igor 1 Voldman, Sergey 1 Wang, Shawn Xianfu 1 Yao, Jen-Chih 1 Zatlawey, Kobi 1 Zowe, Jochem all top 5 Serials 14 SIAM Journal on Optimization 13 Mathematical Programming. Series A. Series B 10 Mathematics of Operations Research 7 Journal of Optimization Theory and Applications 7 Operations Research Letters 4 SIAM Journal on Control and Optimization 2 IEEE Transactions on Information Theory 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Optimization 2 Journal of Robotic Systems 2 SIAM Journal on Matrix Analysis and Applications 2 Computational Optimization and Applications 2 SIAM Journal on Imaging Sciences 1 Inverse Problems 1 Management Science 1 Optimization 1 Annals of Operations Research 1 IEEE Transactions on Signal Processing 1 Journal of Global Optimization 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Computational and Applied Mathematics 1 Journal of Convex Analysis 1 Mathematical Finance 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 RAIRO. Operations Research 1 IEEE Transactions on Image Processing 1 Journal of Machine Learning Research (JMLR) 1 EURO Journal on Computational Optimization 1 Pure and Applied Functional Analysis 1 IEEE Transactions on Control of Network Systems 1 Springer Monographs in Mathematics 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 87 Operations research, mathematical programming (90-XX) 35 Numerical analysis (65-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 12 Information and communication theory, circuits (94-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 4,542 times in 3,168 Documents Cited by ▼ Year ▼ A fast iterative shrinkage-thresholding algorithm for linear inverse problems. Zbl 1175.94009Beck, Amir; Teboulle, Marc 1,366 2009 Proximal alternating linearized minimization for nonconvex and nonsmooth problems. Zbl 1297.90125Bolte, Jérôme; Sabach, Shoham; Teboulle, Marc 333 2014 Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems. Zbl 1371.94049Beck, Amir; Teboulle, Marc 186 2009 Asymptotic cones and functions in optimization and variational inequalities. Zbl 1017.49001Auslender, Alfred; Teboulle, Marc 186 2003 Convergence analysis of a proximal-like minimization algorithm using Bregman functions. Zbl 0808.90103Chen, Gong; Teboulle, Marc 161 1993 A proximal-based deomposition method for compositions method for convex minimization problems. Zbl 0823.90097Chen, Gong; Teboulle, Marc 156 1994 Mirror descent and nonlinear projected subgradient methods for convex optimization. Zbl 1046.90057Beck, Amir; Teboulle, Marc 140 2003 An old-new concept of convex risk measures: The optimized certainty equivalent. Zbl 1186.91116Ben-Tal, Aharon; Teboulle, Marc 97 2007 Interior gradient and proximal methods for convex and conic optimization. Zbl 1113.90118Auslender, Alfred; Teboulle, Marc 96 2006 A logarithmic-quadratic proximal method for variational inequalities. Zbl 1039.90529Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami 93 1999 Convergence of proximal-like algorithms. Zbl 0890.90151Teboulle, Marc 89 1997 A descent lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications. Zbl 1364.90251Bauschke, Heinz H.; Bolte, Jérôme; Teboulle, Marc 82 2017 Entropic proximal mappings with applications to nonlinear programming. Zbl 0766.90071Teboulle, Marc 78 1992 Rate of convergence analysis of decomposition methods based on the proximal method of multipliers for convex minimization. Zbl 1291.90176Shefi, Ron; Teboulle, Marc 68 2014 Smoothing and first order methods: a unified framework. Zbl 1251.90304Beck, Amir; Teboulle, Marc 63 2012 Entropy-like proximal methods in convex programming. Zbl 0821.90092Iusem, Alfredo N.; Svaiter, B. F.; Teboulle, Marc 60 1994 Hidden convexity in some nonconvex quadratically constrained quadratic programming. Zbl 0851.90087Ben-Tal, Aharon; Teboulle, Marc 60 1996 Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems. Zbl 1222.47091Ceng, L. C.; Teboulle, M.; Yao, J. C. 57 2010 Performance of first-order methods for smooth convex minimization: a novel approach. Zbl 1300.90068Drori, Yoel; Teboulle, Marc 56 2014 Interior projection-like methods for monotone variational inequalities. Zbl 1159.90517Auslender, Alfred; Teboulle, Marc 54 2005 Expected utility, penalty functions, and duality in stochastic nonlinear programming. Zbl 0625.90064Ben-Tal, Aharon; Teboulle, Marc 51 1986 Global optimality conditions for quadratic optimization problems with binary constraints. Zbl 0990.90089Beck, Amir; Teboulle, Marc 49 2000 Lagrangian duality and related multiplier methods for variational inequality problems. Zbl 0996.49005Auslender, Alfred; Teboulle, Marc 48 2000 Gradient-based algorithms with applications to signal-recovery problems. Zbl 1211.90290Beck, Amir; Teboulle, Marc 48 2010 Interior proximal and multiplier methods based on second order homogeneous kernels. Zbl 1039.90518Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami 45 1999 First order methods beyond convexity and Lipschitz gradient continuity with applications to quadratic inverse problems. Zbl 1402.90118Bolte, Jérôme; Sabach, Shoham; Teboulle, Marc; Vaisbourd, Yakov 43 2018 Conditional gradient algorithms for rank-one matrix approximations with a sparsity constraint. Zbl 1263.90094Luss, Ronny; Teboulle, Marc 42 2013 A comparison of constraint qualifications in infinite-dimensional convex programming. Zbl 0713.49042Gowda, M. Seetharama; Teboulle, Marc 34 1990 Nonlinear rescaling and proximal-like methods in convex optimization. Zbl 0882.90106Polyak, Roman; Teboulle, Marc 32 1997 A unified continuous optimization framework for center-based clustering methods. Zbl 1222.68318Teboulle, Marc 30 2007 A simplified view of first order methods for optimization. Zbl 1391.90482Teboulle, Marc 27 2018 Convergence rate analysis of nonquadratic proximal methods for convex and linear programming. Zbl 0845.90099Iusem, Alfredo N.; Teboulle, Marc 26 1995 Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. Zbl 1115.65065Beck, Amir; Ben-Tal, Aharon; Teboulle, Marc 26 2006 An \(O(1/k)\) gradient method for network resource allocation problems. Zbl 1370.90290Beck, Amir; Nedić, Angelia; Ozdaglar, Asuman; Teboulle, Marc 25 2014 A conditional gradient method with linear rate of convergence for solving convex linear systems. Zbl 1138.90440Beck, Amir; Teboulle, Marc 24 2004 Penalty functions and duality in stochastic programming via \(\phi\)- divergence functionals. Zbl 0624.90076Ben-Tal, A.; Teboulle, M. 23 1987 Interior gradient and epsilon-subgradient descent methods for constrained convex minimization. Zbl 1082.90087Auslender, A.; Teboulle, M. 22 2004 A fast dual proximal gradient algorithm for convex minimization and applications. Zbl 1408.90232Beck, Amir; Teboulle, Marc 22 2014 A convex optimization approach for minimizing the ratio of indefinite quadratic functions over an ellipsoid. Zbl 1176.90451Beck, Amir; Teboulle, Marc 22 2009 A simple algorithm for a class of nonsmooth convex-concave saddle-point problems. Zbl 1408.90234Drori, Yoel; Sabach, Shoham; Teboulle, Marc 21 2015 Entropic proximal decomposition methods for convex programs and variational inequalities. Zbl 1051.90017Auslender, Alfred; Teboulle, Marc 20 2001 Projected subgradient methods with non-Euclidean distances for non-differentiable convex minimization and variational inequalities. Zbl 1190.90118Auslender, Alfred; Teboulle, Marc 19 2009 A geometric property of the least squares solution of linear equations. Zbl 0704.15005Ben-Tal, Aharon; Teboulle, Marc 19 1990 Barrier operators and associated gradient-like dynamical systems for constrained minimization problems. Zbl 1051.49010Bolte, Jérôme; Teboulle, Marc 17 2003 Regularized Lotka-Volterra dynamical system as continuous proximal-like method in optimization. Zbl 1076.90053Attouch, H.; Teboulle, M. 17 2004 A smoothing technique for nondifferentiable optimization problems. Zbl 0683.90078Ben-Tal, A.; Teboulle, M. 17 1989 The role of duality in optimization problems involving entropy functionals with applications to information theory. Zbl 0631.49007Ben-Tal, A.; Teboulle, M.; Charnes, A. 16 1988 Certainty equivalents and information measures: Duality and extremal principles. Zbl 0736.94004Ben-Tal, Aharon; Ben-Israel, Adi; Teboulle, Marc 13 1991 Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization. Zbl 1153.34312Attouch, H.; Bolte, J.; Redont, P.; Teboulle, M. 13 2004 Convergence rate analysis and error bounds for projection algorithms in convex feasibility problems. Zbl 1060.90060Beck, Amir; Teboulle, Marc 12 2003 On the rate of convergence of the proximal alternating linearized minimization algorithm for convex problems. Zbl 1338.90306Shefi, Ron; Teboulle, Marc 12 2016 An interior proximal algorithm and the exponential multiplier method for semidefinite programming. Zbl 0960.90066Doljansky, Moshe; Teboulle, Marc 11 1998 Necessary conditions for linear convergence of iterated expansive, set-valued mappings. Zbl 1439.49032Luke, D. Russell; Teboulle, Marc; Thao, Nguyen H. 11 2020 A dual approach to multidimensional \(L_ p\) spectral estimation problems. Zbl 0672.93068Ben-Tal, A.; Borwein, J. M.; Teboulle, M. 11 1988 A moving balls approximation method for a class of smooth constrained minimization problems. Zbl 1229.90085Auslender, Alfred; Shefi, Ron; Teboulle, Marc 11 2010 An optimal variant of Kelley’s cutting-plane method. Zbl 1349.90880Drori, Yoel; Teboulle, Marc 11 2016 On linear convergence of non-Euclidean gradient methods without strong convexity and Lipschitz gradient continuity. Zbl 1429.65121Bauschke, Heinz H.; Bolte, Jérôme; Chen, Jiawei; Teboulle, Marc; Wang, Xianfu 10 2019 A minimax Chebyshev estimator for bounded error estimation. Zbl 1390.94170Eldar, Yonina C.; Beck, Amir; Teboulle, Marc 9 2008 Convergence of best \(\phi\)-entropy estimates. Zbl 0765.94001Teboulle, Marc; Vajda, Igor 9 1993 Iterative minimization schemes for solving the single source localization problem. Zbl 1180.90242Beck, Amir; Teboulle, Marc; Chikishev, Zahar 9 2008 Entropic means. Zbl 0675.26007Ben-Tal, Aharon; Charnes, Abraham; Teboulle, Marc 8 1989 Second order necessary optimality conditions for semi-infinite programming problems. Zbl 0409.90076Ben-Tal, Aharon; Teboulle, Marc; Zowe, Jochen 7 1979 Portfolio theory for the recourse certainty equivalent maximizing investor. Zbl 0795.90002Ben-Tal, Aharon; Teboulle, Marc 7 1991 Nonconvex Lagrangian-based optimization: monitoring schemes and global convergence. Zbl 1440.90072Bolte, Jérôme; Sabach, Shoham; Teboulle, Marc 7 2018 Nonmonotone projected gradient methods based on barrier and Euclidean distances. Zbl 1190.90129Auslender, Alfred; Silva, Paulo J. S.; Teboulle, Marc 7 2007 A linearly convergent algorithm for solving a class of nonconvex/affine feasibility problems. Zbl 1242.90225Beck, Amir; Teboulle, Marc 6 2011 Convex approximations to sparse PCA via Lagrangian duality. Zbl 1207.90082Luss, Ronny; Teboulle, Marc 6 2011 The log-quadratic proximal methodology in convex optimization algorithms and variational inequalities. Zbl 1129.90337Auslender, Alfred; Teboulle, Marc 5 2003 On semidefinite bounds for maximization of a non-convex quadratic objective over the \(\ell_1\) unit ball. Zbl 1180.90222Pinar, Mustafa Ç.; Teboulle, Marc 5 2006 On the convergence rate of entropic proximal optimization methods. Zbl 0803.90101Iusem, Alfredo N.; Teboulle, Marc 5 1993 A dual method for minimizing a nonsmooth objective over one smooth inequality constraint. Zbl 1356.90109Shefi, Ron; Teboulle, Marc 5 2016 Coupling the logarithmic-quadratic proximal method and the block nonlinear Gauss-Seidel algorithm for linearly constrained convex minimization. Zbl 0944.65066Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami 4 1999 A new semidefinite programming relaxation scheme for a class of quadratic matrix problems. Zbl 1247.90210Beck, Amir; Drori, Yoel; Teboulle, Marc 4 2012 A regularized dual-based iterative method for a class of image reconstruction problems. Zbl 0793.65046Iusem, Alfredo N.; Teboulle, Marc 4 1993 A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity. Zbl 0734.73097Ben-Tal, Aharon; Teboulle, Marc; Yang, Wei H. 4 1991 A linearly convergent dual-based gradient projection algorithm for quadratically constrained convex minimization. Zbl 1278.90289Beck, Amir; Teboulle, Marc 4 2006 On minimizing quadratically constrained ratio of two quadratic functions. Zbl 1213.90239Beck, A.; Teboulle, M. 4 2010 Lagrangian methods for composite optimization. Zbl 1446.90126Sabach, Shoham; Teboulle, Marc 4 2019 A conjugate duality scheme generating a new class of differentiable duals. Zbl 0856.90086Ben-Tal, Aharon; Teboulle, Marc 3 1996 Rate distortion theory with generalized information measures via convex programming duality. Zbl 0618.94010Ben-Tal, Aharon; Teboulle, Marc 3 1986 Multiplicative interior gradient methods for minimization over the nonnegative orthant. Zbl 0841.49012Iusem, Alfredo N.; Svaiter, B. F.; Teboulle, Marc 3 1996 Novel proximal gradient methods for nonnegative matrix factorization with sparsity constraints. Zbl 1442.90154Teboulle, Marc; Vaisbourd, Yakov 3 2020 Finding second-order stationary points in constrained minimization: a feasible direction approach. Zbl 1450.90034Hallak, Nadav; Teboulle, Marc 3 2020 An alternating semiproximal method for nonconvex regularized structured total least squares problems. Zbl 1346.90676Beck, Amir; Sabach, Shoham; Teboulle, Marc 3 2016 Faster Lagrangian-based methods in convex optimization. Zbl 1486.90149Sabach, Shoham; Teboulle, Marc 3 2022 A smoothing alternating minimization-based algorithm for clustering with sum-min of duclidean norms. Zbl 1474.90360Sabach, Shoham; Teboulle, Marc; Voldman, Sergey 2 2018 Applications of optimization methods to robust stability of linear systems. Zbl 0804.93044Teboulle, M.; Kogan, J. 2 1994 A primal-dual iterative algorithm for a maximum likelihood estimation problem. Zbl 0937.62562Iusem, Alfredo N.; Teboulle, Marc 2 1992 A simple duality proof for quadratically constrained entropy functionals and extension to convex constraints. Zbl 0681.62011Teboulle, Marc 2 1989 A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem. Zbl 1386.90117Luke, D. Russell; Sabach, Shoham; Teboulle, Marc; Zatlawey, Kobi 2 2017 A log-quadratic projection method for convex feasibility problems. Zbl 0987.90066Auslender, A.; Teboulle, Marc 1 2001 Toward a formulation of the human grasping quality sense. Zbl 0816.92003Hershkovitz, M.; Tasch, U.; Teboulle, M. 1 1995 Experimental validation of an optimization formulation of the human grasping quality sense. Zbl 0900.70003Hershkovitz, Moshe; Tasch, Uri; Teboulle, Marc; Tzelgov, Joseph 1 1997 Extension of some results for channel capacity using a generalized information measure. Zbl 0641.94008Ben-Tal, Aharon; Teboulle, Marc 1 1988 Upper bounds on the expected value of a convex function using gradient and conjugate function information. Zbl 0688.90007Birge, John; Teboulle, Marc 1 1989 Optimization on spheres: models and proximal algorithms with computational performance comparisons. Zbl 1499.90175Luke, D. Russell; Sabach, Shoham; Teboulle, Marc 1 2019 A dynamic alternating direction of multipliers for nonconvex minimization with nonlinear functional equality constraints. Zbl 1492.90133Cohen, Eyal; Hallak, Nadav; Teboulle, Marc 1 2022 Faster Lagrangian-based methods in convex optimization. Zbl 1486.90149Sabach, Shoham; Teboulle, Marc 3 2022 A dynamic alternating direction of multipliers for nonconvex minimization with nonlinear functional equality constraints. Zbl 1492.90133Cohen, Eyal; Hallak, Nadav; Teboulle, Marc 1 2022 Necessary conditions for linear convergence of iterated expansive, set-valued mappings. Zbl 1439.49032Luke, D. Russell; Teboulle, Marc; Thao, Nguyen H. 11 2020 Novel proximal gradient methods for nonnegative matrix factorization with sparsity constraints. Zbl 1442.90154Teboulle, Marc; Vaisbourd, Yakov 3 2020 Finding second-order stationary points in constrained minimization: a feasible direction approach. Zbl 1450.90034Hallak, Nadav; Teboulle, Marc 3 2020 On linear convergence of non-Euclidean gradient methods without strong convexity and Lipschitz gradient continuity. Zbl 1429.65121Bauschke, Heinz H.; Bolte, Jérôme; Chen, Jiawei; Teboulle, Marc; Wang, Xianfu 10 2019 Lagrangian methods for composite optimization. Zbl 1446.90126Sabach, Shoham; Teboulle, Marc 4 2019 Optimization on spheres: models and proximal algorithms with computational performance comparisons. Zbl 1499.90175Luke, D. Russell; Sabach, Shoham; Teboulle, Marc 1 2019 First order methods beyond convexity and Lipschitz gradient continuity with applications to quadratic inverse problems. Zbl 1402.90118Bolte, Jérôme; Sabach, Shoham; Teboulle, Marc; Vaisbourd, Yakov 43 2018 A simplified view of first order methods for optimization. Zbl 1391.90482Teboulle, Marc 27 2018 Nonconvex Lagrangian-based optimization: monitoring schemes and global convergence. Zbl 1440.90072Bolte, Jérôme; Sabach, Shoham; Teboulle, Marc 7 2018 A smoothing alternating minimization-based algorithm for clustering with sum-min of duclidean norms. Zbl 1474.90360Sabach, Shoham; Teboulle, Marc; Voldman, Sergey 2 2018 A descent lemma beyond Lipschitz gradient continuity: first-order methods revisited and applications. Zbl 1364.90251Bauschke, Heinz H.; Bolte, Jérôme; Teboulle, Marc 82 2017 A simple globally convergent algorithm for the nonsmooth nonconvex single source localization problem. Zbl 1386.90117Luke, D. Russell; Sabach, Shoham; Teboulle, Marc; Zatlawey, Kobi 2 2017 On the rate of convergence of the proximal alternating linearized minimization algorithm for convex problems. Zbl 1338.90306Shefi, Ron; Teboulle, Marc 12 2016 An optimal variant of Kelley’s cutting-plane method. Zbl 1349.90880Drori, Yoel; Teboulle, Marc 11 2016 A dual method for minimizing a nonsmooth objective over one smooth inequality constraint. Zbl 1356.90109Shefi, Ron; Teboulle, Marc 5 2016 An alternating semiproximal method for nonconvex regularized structured total least squares problems. Zbl 1346.90676Beck, Amir; Sabach, Shoham; Teboulle, Marc 3 2016 A simple algorithm for a class of nonsmooth convex-concave saddle-point problems. Zbl 1408.90234Drori, Yoel; Sabach, Shoham; Teboulle, Marc 21 2015 Proximal alternating linearized minimization for nonconvex and nonsmooth problems. Zbl 1297.90125Bolte, Jérôme; Sabach, Shoham; Teboulle, Marc 333 2014 Rate of convergence analysis of decomposition methods based on the proximal method of multipliers for convex minimization. Zbl 1291.90176Shefi, Ron; Teboulle, Marc 68 2014 Performance of first-order methods for smooth convex minimization: a novel approach. Zbl 1300.90068Drori, Yoel; Teboulle, Marc 56 2014 An \(O(1/k)\) gradient method for network resource allocation problems. Zbl 1370.90290Beck, Amir; Nedić, Angelia; Ozdaglar, Asuman; Teboulle, Marc 25 2014 A fast dual proximal gradient algorithm for convex minimization and applications. Zbl 1408.90232Beck, Amir; Teboulle, Marc 22 2014 Conditional gradient algorithms for rank-one matrix approximations with a sparsity constraint. Zbl 1263.90094Luss, Ronny; Teboulle, Marc 42 2013 Smoothing and first order methods: a unified framework. Zbl 1251.90304Beck, Amir; Teboulle, Marc 63 2012 A new semidefinite programming relaxation scheme for a class of quadratic matrix problems. Zbl 1247.90210Beck, Amir; Drori, Yoel; Teboulle, Marc 4 2012 A linearly convergent algorithm for solving a class of nonconvex/affine feasibility problems. Zbl 1242.90225Beck, Amir; Teboulle, Marc 6 2011 Convex approximations to sparse PCA via Lagrangian duality. Zbl 1207.90082Luss, Ronny; Teboulle, Marc 6 2011 Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems. Zbl 1222.47091Ceng, L. C.; Teboulle, M.; Yao, J. C. 57 2010 Gradient-based algorithms with applications to signal-recovery problems. Zbl 1211.90290Beck, Amir; Teboulle, Marc 48 2010 A moving balls approximation method for a class of smooth constrained minimization problems. Zbl 1229.90085Auslender, Alfred; Shefi, Ron; Teboulle, Marc 11 2010 On minimizing quadratically constrained ratio of two quadratic functions. Zbl 1213.90239Beck, A.; Teboulle, M. 4 2010 A fast iterative shrinkage-thresholding algorithm for linear inverse problems. Zbl 1175.94009Beck, Amir; Teboulle, Marc 1,366 2009 Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems. Zbl 1371.94049Beck, Amir; Teboulle, Marc 186 2009 A convex optimization approach for minimizing the ratio of indefinite quadratic functions over an ellipsoid. Zbl 1176.90451Beck, Amir; Teboulle, Marc 22 2009 Projected subgradient methods with non-Euclidean distances for non-differentiable convex minimization and variational inequalities. Zbl 1190.90118Auslender, Alfred; Teboulle, Marc 19 2009 A minimax Chebyshev estimator for bounded error estimation. Zbl 1390.94170Eldar, Yonina C.; Beck, Amir; Teboulle, Marc 9 2008 Iterative minimization schemes for solving the single source localization problem. Zbl 1180.90242Beck, Amir; Teboulle, Marc; Chikishev, Zahar 9 2008 An old-new concept of convex risk measures: The optimized certainty equivalent. Zbl 1186.91116Ben-Tal, Aharon; Teboulle, Marc 97 2007 A unified continuous optimization framework for center-based clustering methods. Zbl 1222.68318Teboulle, Marc 30 2007 Nonmonotone projected gradient methods based on barrier and Euclidean distances. Zbl 1190.90129Auslender, Alfred; Silva, Paulo J. S.; Teboulle, Marc 7 2007 Interior gradient and proximal methods for convex and conic optimization. Zbl 1113.90118Auslender, Alfred; Teboulle, Marc 96 2006 Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. Zbl 1115.65065Beck, Amir; Ben-Tal, Aharon; Teboulle, Marc 26 2006 On semidefinite bounds for maximization of a non-convex quadratic objective over the \(\ell_1\) unit ball. Zbl 1180.90222Pinar, Mustafa Ç.; Teboulle, Marc 5 2006 A linearly convergent dual-based gradient projection algorithm for quadratically constrained convex minimization. Zbl 1278.90289Beck, Amir; Teboulle, Marc 4 2006 Interior projection-like methods for monotone variational inequalities. Zbl 1159.90517Auslender, Alfred; Teboulle, Marc 54 2005 A conditional gradient method with linear rate of convergence for solving convex linear systems. Zbl 1138.90440Beck, Amir; Teboulle, Marc 24 2004 Interior gradient and epsilon-subgradient descent methods for constrained convex minimization. Zbl 1082.90087Auslender, A.; Teboulle, M. 22 2004 Regularized Lotka-Volterra dynamical system as continuous proximal-like method in optimization. Zbl 1076.90053Attouch, H.; Teboulle, M. 17 2004 Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization. Zbl 1153.34312Attouch, H.; Bolte, J.; Redont, P.; Teboulle, M. 13 2004 Asymptotic cones and functions in optimization and variational inequalities. Zbl 1017.49001Auslender, Alfred; Teboulle, Marc 186 2003 Mirror descent and nonlinear projected subgradient methods for convex optimization. Zbl 1046.90057Beck, Amir; Teboulle, Marc 140 2003 Barrier operators and associated gradient-like dynamical systems for constrained minimization problems. Zbl 1051.49010Bolte, Jérôme; Teboulle, Marc 17 2003 Convergence rate analysis and error bounds for projection algorithms in convex feasibility problems. Zbl 1060.90060Beck, Amir; Teboulle, Marc 12 2003 The log-quadratic proximal methodology in convex optimization algorithms and variational inequalities. Zbl 1129.90337Auslender, Alfred; Teboulle, Marc 5 2003 Entropic proximal decomposition methods for convex programs and variational inequalities. Zbl 1051.90017Auslender, Alfred; Teboulle, Marc 20 2001 A log-quadratic projection method for convex feasibility problems. Zbl 0987.90066Auslender, A.; Teboulle, Marc 1 2001 Global optimality conditions for quadratic optimization problems with binary constraints. Zbl 0990.90089Beck, Amir; Teboulle, Marc 49 2000 Lagrangian duality and related multiplier methods for variational inequality problems. Zbl 0996.49005Auslender, Alfred; Teboulle, Marc 48 2000 A logarithmic-quadratic proximal method for variational inequalities. Zbl 1039.90529Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami 93 1999 Interior proximal and multiplier methods based on second order homogeneous kernels. Zbl 1039.90518Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami 45 1999 Coupling the logarithmic-quadratic proximal method and the block nonlinear Gauss-Seidel algorithm for linearly constrained convex minimization. Zbl 0944.65066Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami 4 1999 An interior proximal algorithm and the exponential multiplier method for semidefinite programming. Zbl 0960.90066Doljansky, Moshe; Teboulle, Marc 11 1998 Convergence of proximal-like algorithms. Zbl 0890.90151Teboulle, Marc 89 1997 Nonlinear rescaling and proximal-like methods in convex optimization. Zbl 0882.90106Polyak, Roman; Teboulle, Marc 32 1997 Experimental validation of an optimization formulation of the human grasping quality sense. Zbl 0900.70003Hershkovitz, Moshe; Tasch, Uri; Teboulle, Marc; Tzelgov, Joseph 1 1997 Hidden convexity in some nonconvex quadratically constrained quadratic programming. Zbl 0851.90087Ben-Tal, Aharon; Teboulle, Marc 60 1996 A conjugate duality scheme generating a new class of differentiable duals. Zbl 0856.90086Ben-Tal, Aharon; Teboulle, Marc 3 1996 Multiplicative interior gradient methods for minimization over the nonnegative orthant. Zbl 0841.49012Iusem, Alfredo N.; Svaiter, B. F.; Teboulle, Marc 3 1996 Convergence rate analysis of nonquadratic proximal methods for convex and linear programming. Zbl 0845.90099Iusem, Alfredo N.; Teboulle, Marc 26 1995 Toward a formulation of the human grasping quality sense. Zbl 0816.92003Hershkovitz, M.; Tasch, U.; Teboulle, M. 1 1995 A proximal-based deomposition method for compositions method for convex minimization problems. Zbl 0823.90097Chen, Gong; Teboulle, Marc 156 1994 Entropy-like proximal methods in convex programming. Zbl 0821.90092Iusem, Alfredo N.; Svaiter, B. F.; Teboulle, Marc 60 1994 Applications of optimization methods to robust stability of linear systems. Zbl 0804.93044Teboulle, M.; Kogan, J. 2 1994 Convergence analysis of a proximal-like minimization algorithm using Bregman functions. Zbl 0808.90103Chen, Gong; Teboulle, Marc 161 1993 Convergence of best \(\phi\)-entropy estimates. Zbl 0765.94001Teboulle, Marc; Vajda, Igor 9 1993 On the convergence rate of entropic proximal optimization methods. Zbl 0803.90101Iusem, Alfredo N.; Teboulle, Marc 5 1993 A regularized dual-based iterative method for a class of image reconstruction problems. Zbl 0793.65046Iusem, Alfredo N.; Teboulle, Marc 4 1993 Entropic proximal mappings with applications to nonlinear programming. Zbl 0766.90071Teboulle, Marc 78 1992 A primal-dual iterative algorithm for a maximum likelihood estimation problem. Zbl 0937.62562Iusem, Alfredo N.; Teboulle, Marc 2 1992 Certainty equivalents and information measures: Duality and extremal principles. Zbl 0736.94004Ben-Tal, Aharon; Ben-Israel, Adi; Teboulle, Marc 13 1991 Portfolio theory for the recourse certainty equivalent maximizing investor. Zbl 0795.90002Ben-Tal, Aharon; Teboulle, Marc 7 1991 A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity. Zbl 0734.73097Ben-Tal, Aharon; Teboulle, Marc; Yang, Wei H. 4 1991 A comparison of constraint qualifications in infinite-dimensional convex programming. Zbl 0713.49042Gowda, M. Seetharama; Teboulle, Marc 34 1990 A geometric property of the least squares solution of linear equations. Zbl 0704.15005Ben-Tal, Aharon; Teboulle, Marc 19 1990 A smoothing technique for nondifferentiable optimization problems. Zbl 0683.90078Ben-Tal, A.; Teboulle, M. 17 1989 Entropic means. Zbl 0675.26007Ben-Tal, Aharon; Charnes, Abraham; Teboulle, Marc 8 1989 A simple duality proof for quadratically constrained entropy functionals and extension to convex constraints. Zbl 0681.62011Teboulle, Marc 2 1989 Upper bounds on the expected value of a convex function using gradient and conjugate function information. Zbl 0688.90007Birge, John; Teboulle, Marc 1 1989 The role of duality in optimization problems involving entropy functionals with applications to information theory. Zbl 0631.49007Ben-Tal, A.; Teboulle, M.; Charnes, A. 16 1988 A dual approach to multidimensional \(L_ p\) spectral estimation problems. Zbl 0672.93068Ben-Tal, A.; Borwein, J. M.; Teboulle, M. 11 1988 Extension of some results for channel capacity using a generalized information measure. Zbl 0641.94008Ben-Tal, Aharon; Teboulle, Marc 1 1988 Penalty functions and duality in stochastic programming via \(\phi\)- divergence functionals. Zbl 0624.90076Ben-Tal, A.; Teboulle, M. 23 1987 Expected utility, penalty functions, and duality in stochastic nonlinear programming. Zbl 0625.90064Ben-Tal, Aharon; Teboulle, Marc 51 1986 Rate distortion theory with generalized information measures via convex programming duality. Zbl 0618.94010Ben-Tal, Aharon; Teboulle, Marc 3 1986 Second order necessary optimality conditions for semi-infinite programming problems. Zbl 0409.90076Ben-Tal, Aharon; Teboulle, Marc; Zowe, Jochen 7 1979 all cited Publications top 5 cited Publications all top 5 Cited by 4,239 Authors 39 Boţ, Radu Ioan 39 Yuan, Xiaoming 35 Shehu, Yekini 34 Bnouhachem, Abdellah 34 Teboulle, Marc 30 Attouch, Hedy 29 Han, Deren 26 Beck, Amir 25 Iusem, Alfredo Noel 25 Kumam, Poom 23 Li, Min 22 Csetnek, Ernö Robert 22 Xia, Yong 21 Wu, Zhiyou 20 Dong, Qiaoli 20 Sabach, Shoham 20 Tran Dinh Quoc 19 Ceng, Lu-Chuan 19 Lan, Guanghui 19 Yao, Jen-Chih 18 He, Bingsheng 18 Oliveira, Paulo Roberto 18 Toh, Kim Chuan 17 Bauschke, Heinz H. 17 Ferreira, Orizon Pereira 17 Jeyakumar, Vaithilingam 17 Ma, Shiqian 17 Pock, Thomas 16 Fadili, Jalal M. 16 Pong, Ting Kei 16 Wu, Chunlin 15 da Cruz Neto, João Xavier 15 Lara, Felipe 15 Mewomo, Oluwatosin Temitope 15 Noor, Muhammad Aslam 15 Zhang, Xiaoqun 14 Bolte, Jérôme 14 Cai, Xingju 14 Chambolle, Antonin 14 López, Ruben 14 Lu, Zhaosong 14 Naraghirad, Eskandar 14 Peyré, Gabriel 14 Yin, Wotao 13 Aravkin, Aleksandr Y. 13 Luke, David Russell 13 Nesterov, Yurii 13 Patrinos, Panagiotis 13 Steidl, Gabriele 13 Sun, Defeng 13 Wen, Chingfeng 13 Xu, Yangyang 13 Yang, Xiaoqi 13 Zeng, Tie Yong 12 Ahookhosh, Masoud 12 Bello Cruz, Jose Yunier 12 Ben-Tal, Aharon 12 Dương Việt Thông 12 Han, Bo 12 He, Hongjin 12 Huang, Ting-Zhu 12 Jolaoso, Lateef Olakunle 12 Shen, Lixin 12 Wang, Shawn Xianfu 12 Wu, Zhongming 11 Aujol, Jean-François 11 Bala Abubakar, Auwal 11 Bonettini, Silvia 11 Cheng, Lizhi 11 Fang, Yaping 11 Gibali, Aviv 11 Iyiola, Olaniyi Samuel 11 Ng, Michael Kwok-Po 11 Ochs, Peter 11 Pauwels, Edouard Jean Robert 11 Peypouquet, Juan 11 Polyak, Roman A. 11 Reich, Simeon 11 Schönlieb, Carola-Bibiane 11 Wen, Zaiwen 11 Zhang, Hongchao 11 Zhang, Hui 11 Zhang, Shuzhong 10 Ben-Israel, Adi 10 Chbani, Zaki 10 Cho, Yeol Je 10 Flores-Bazán, Fabián 10 Hu, Rong 10 Li, Guoyin 10 Monteiro, Renato D. C. 10 Necoara, Ion 10 Pan, Shaohua 10 Riahi, Hassan 10 Tang, Yuchao 10 Xu, Yuesheng 10 Yu, Bo 9 Ansari, Qamrul Hasan 9 Auslender, Alfred 9 Burachik, Regina Sandra 9 Cholamjiak, Prasit ...and 4,139 more Authors all top 5 Cited in 351 Serials 190 Journal of Optimization Theory and Applications 189 Mathematical Programming. Series A. 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Electronic Transactions on Numerical Analysis 6 Vietnam Journal of Mathematics 6 Data Mining and Knowledge Discovery 6 International Journal of Wavelets, Multiresolution and Information Processing ...and 251 more Serials all top 5 Cited in 54 Fields 2,036 Operations research, mathematical programming (90-XX) 1,162 Numerical analysis (65-XX) 698 Calculus of variations and optimal control; optimization (49-XX) 438 Computer science (68-XX) 402 Information and communication theory, circuits (94-XX) 386 Operator theory (47-XX) 349 Statistics (62-XX) 160 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 94 Biology and other natural sciences (92-XX) 91 Linear and multilinear algebra; matrix theory (15-XX) 71 Systems theory; control (93-XX) 70 Partial differential equations (35-XX) 62 Functional analysis (46-XX) 51 Probability theory and stochastic processes (60-XX) 40 Convex and discrete geometry (52-XX) 39 Real functions (26-XX) 34 Ordinary differential equations (34-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Approximations and expansions (41-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Optics, electromagnetic theory (78-XX) 18 Mechanics of deformable solids (74-XX) 17 Integral transforms, operational calculus (44-XX) 15 General topology (54-XX) 14 Combinatorics (05-XX) 11 Integral equations (45-XX) 10 Geophysics (86-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Fluid mechanics (76-XX) 6 Algebraic geometry (14-XX) 6 Mechanics of particles and systems (70-XX) 6 Quantum theory (81-XX) 5 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Manifolds and cell complexes (57-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year