SIAM Journal on Optimization Short Title: SIAM J. Optim. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 1052-6234; 1095-7189/e Online: http://epubs.siam.org/loi/sjope8 Comments: Indexed cover-to-cover Documents Indexed: 2,378 Publications (since 1991) References Indexed: 767 Publications with 29,260 References. all top 5 Latest Issues 31, No. 3 (2021) 31, No. 2 (2021) 31, No. 1 (2021) 30, No. 4 (2020) 30, No. 3 (2020) 30, No. 2 (2020) 30, No. 1 (2020) 29, No. 4 (2019) 29, No. 3 (2019) 29, No. 2 (2019) 29, No. 1 (2019) 28, No. 4 (2018) 28, No. 3 (2018) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 4 (2017) 27, No. 3 (2017) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 4 (2016) 26, No. 3 (2016) 26, No. 2 (2016) 26, No. 1 (2016) 25, No. 4 (2015) 25, No. 3 (2015) 25, No. 2 (2015) 25, No. 1 (2015) 24, No. 4 (2014) 24, No. 3 (2014) 24, No. 2 (2014) 24, No. 1 (2014) 23, No. 4 (2013) 23, No. 3 (2013) 23, No. 2 (2013) 23, No. 1 (2013) 22, No. 4 (2012) 22, No. 3 (2012) 22, No. 2 (2012) 22, No. 1 (2012) 21, No. 4 (2011) 21, No. 3 (2011) 21, No. 2 (2011) 21, No. 1 (2011) 20, No. 6 (2010) 20, No. 5 (2010) 20, No. 4 (2010) 20, No. 3 (2009) 20, No. 2 (2009) 20, No. 1 (2009) 19, No. 4 (2008/2009) 19, No. 3 (2008) 19, No. 2 (2008) 19, No. 1 (2008) 18, No. 4 (2007) 18, No. 3 (2007) 18, No. 2 (2007) 18, No. 1 (2007) 17, No. 4 (2006/2007) 17, No. 3 (2006) 17, No. 2 (2006) 17, No. 1 (2006) 16, No. 4 (2006) 16, No. 3 (2006) 16, No. 2 (2005) 16, No. 1 (2005) 15, No. 4 (2005) 15, No. 3 (2005) 15, No. 2 (2004/2005) 15, No. 1 (2004) 14, No. 4 (2004) 14, No. 3 (2003/2004) 14, No. 2 (2003) 14, No. 1 (2003) 13, No. 4 (2003) 13, No. 3 (2002/2003) 13, No. 2 (2002) 13, No. 1 (2002) 12, No. 4 (2002) 12, No. 3 (2002) 12, No. 2 (2002) 12, No. 1 (2001) 11, No. 4 (2001) 11, No. 3 (2000/2001) 11, No. 2 (2000) 11, No. 1 (2000) 10, No. 4 (2000) 10, No. 3 (2000) 10, No. 2 (1999/2000) 10, No. 1 (1999) 9, No. 4 (1999) 9, No. 3 (1999) 9, No. 2 (1999) 9, No. 1 (1998) 8, No. 4 (1998) 8, No. 3 (1998) 8, No. 2 (1998) 8, No. 1 (1998) 7, No. 4 (1997) 7, No. 3 (1997) 7, No. 2 (1997) ...and 23 more Volumes all top 5 Authors 29 Ng, Kung-Fu 27 Monteiro, Renato D. C. 26 Sun, Defeng 25 Mordukhovich, Boris S. 25 Tseng, Paul 24 Li, Chong 20 Nocedal, Jorge 20 Toint, Philippe L. 19 Kanzow, Christian 19 Lasserre, Jean-Bernard 19 Luo, Zhi-Quan 19 Qi, Liqun 19 Zheng, Xiyin 18 Chen, Xiaojun 18 Fukushima, Masao 18 Pang, Jong-Shi 18 Ye, Jane J. 17 Dennis, John E. jun. 17 López-Cerdá, Marco Antonio 17 Lucidi, Stefano 17 Toh, Kimchuan 17 Zhang, Shuzhong 16 Beck, Amir 16 Byrd, Richard H. 16 Martínez, José Mario 16 Solodov, Mikhail V. 15 Kojima, Masakazu 15 Lewis, Adrian S. 15 Li, Duan 15 Potra, Florian-Alexandru 14 Bauschke, Heinz H. 14 Curtis, Frank E. 14 Gould, Nicholas Ian Mark 14 Shapiro, Alexander 14 Wright, Stephen J. 14 Ye, Yinyu 13 Audet, Charles 13 Burke, James V. 13 de Klerk, Etienne 13 Hintermüller, Michael 13 Izmailov, Alekseĭ F. 13 Mehrotra, Sanjay 13 Nesterov, Yurii 13 Robinson, Daniel P. 13 Roos, Cornelis 13 Teboulle, Marc 13 Vicente, Luis Nunes 13 Wang, Shawn Xianfu 12 Ben-Tal, Aharon 12 Bertsekas, Dimitri Panteli 12 Jeyakumar, Vaithilingam 12 Li, Guoyin 12 Outrata, Jiří V. 12 Pong, Ting Kei 12 Sun, Jie 11 Attouch, Hedy 11 Borwein, Jonathan Michael 11 Gfrerer, Helmut 11 Jongen, Hubertus Th. 11 Kiwiel, Krzysztof Czesław 11 Kunisch, Karl 11 Lan, Guanghui 11 Lu, Zhaosong 11 Nemirovski, Arkadi S. 11 Nie, Jiawang 11 Wächter, Andreas 11 Xu, Huifu 11 Zhang, Yin 10 Anstreicher, Kurt M. 10 Rockafellar, Ralph Tyrrell 10 Svaiter, Benar Fux 10 Tapia, Richard A. 10 Terlaky, Tamás 10 Torczon, Virginia J. 10 Yang, Xiaoqi 10 Yao, Jen-Chih 9 Andreani, Roberto 9 Anitescu, Mihai 9 Daniilidis, Aris 9 Fletcher, Roger 9 Freund, Robert M. 9 Gill, Philip E. 9 Gonzaga, Clovis C. 9 Kočvara, Michal 9 Laurent, Monique 9 Leyffer, Sven 9 Parrilo, Pablo A. 9 Peña, Javier F. 9 Rinaldi, Francesco 9 Ruszczyński, Andrzej 9 Schultz, Rüdiger 9 Tsuchiya, Takashi 9 Wets, Roger Jean-Baptiste 9 Wolkowicz, Henry 9 Yuan, Ya-xiang 9 Zhao, Yunbin 8 Burer, Samuel 8 Correa, Rafael 8 Dentcheva, Darinka 8 Dey, Santanu S. ...and 2,402 more Authors all top 5 Fields 2,157 Operations research, mathematical programming (90-XX) 945 Numerical analysis (65-XX) 684 Calculus of variations and optimal control; optimization (49-XX) 165 Computer science (68-XX) 113 Operator theory (47-XX) 99 Convex and discrete geometry (52-XX) 80 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 70 Statistics (62-XX) 54 Functional analysis (46-XX) 52 Systems theory; control (93-XX) 47 Algebraic geometry (14-XX) 43 Combinatorics (05-XX) 43 Real functions (26-XX) 43 Global analysis, analysis on manifolds (58-XX) 38 Approximations and expansions (41-XX) 38 Probability theory and stochastic processes (60-XX) 37 Partial differential equations (35-XX) 28 Information and communication theory, circuits (94-XX) 25 Ordinary differential equations (34-XX) 23 Mechanics of deformable solids (74-XX) 17 Biology and other natural sciences (92-XX) 13 Number theory (11-XX) 13 Field theory and polynomials (12-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Commutative algebra (13-XX) 12 General topology (54-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Mechanics of particles and systems (70-XX) 6 Measure and integration (28-XX) 6 Differential geometry (53-XX) 5 Nonassociative rings and algebras (17-XX) 4 Mathematical logic and foundations (03-XX) 4 Manifolds and cell complexes (57-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Difference and functional equations (39-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,125 Publications have been cited 44,205 times in 19,851 Documents Cited by ▼ Year ▼ Global optimization with polynomials and the problem of moments. Zbl 1010.90061Lasserre, Jean B. 522 2001 Strong convergence of a proximal-type algorithm in a Banach space. Zbl 1101.90083Kamimura, Shoji; Takahashi, Wataru 395 2003 A singular value thresholding algorithm for matrix completion. Zbl 1201.90155Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei 363 2010 The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074Hintermüller, M.; Ito, K.; Kunisch, K. 315 2003 A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085Hager, William W.; Zhang, Hongchao 314 2005 Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082Gilbert, Jean Charles; Nocedal, Jorge 310 1992 On the implementation of a primal-dual interior point method. Zbl 0773.90047Mehrotra, Sanjay 281 1992 A nonlinear conjugate gradient method with a strong global convergence property. Zbl 0957.65061Dai, Yuhong; Yuan, Yaxiang 279 1999 Cones of matrices and set-functions and 0-1 optimization. Zbl 0754.90039Lovász, László; Schrijver, A. 267 1991 Convergence properties of the Nelder–Mead simplex method in low dimensions. Zbl 1005.90056Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.; Wright, Paul E. 267 1998 The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem. Zbl 0898.90119Raydan, Marcos 243 1997 Nonmonotone spectral projected gradient methods on convex sets. Zbl 1047.90077Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 235 2000 The sample average approximation method for stochastic discrete optimization. Zbl 0991.90090Kleywegt, Anton J.; Shapiro, Alexander; Homem-de-Mello, Tito 224 2001 Robust stochastic approximation approach to stochastic programming. Zbl 1189.90109Nemirovski, A.; Juditsky, A.; Lan, G.; Shapiro, A. 224 2009 A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024Zhang, Hongchao; Hager, William W. 217 2004 An interior trust region approach for nonlinear minimization subject to bounds. Zbl 0855.65063Coleman, Thomas F.; Li, Yuying 216 1996 Primal-dual interior-point methods for self-scaled cones. Zbl 0922.90110Nesterov, Yu. E.; Todd, M. J. 187 1998 The Łojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems. Zbl 1129.26012Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian 186 2007 Smoothing functions for second-order-cone complementarity problems. Zbl 0995.90094Fukushima, Masao; Luo, Zhi-Quan; Tseng, Paul 184 2001 Interior point methods in semidefinite programming with applications to combinatorial optimization. Zbl 0833.90087Alizadeh, Farid 183 1995 Efficiency of coordinate descent methods on huge-scale optimization problems. Zbl 1257.90073Nesterov, Yu. 174 2012 Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078Audet, Charles; Dennis, J. E. jun. 173 2006 A D. C. optimization algorithm for solving the trust-region subproblem. Zbl 0913.65054Tao, Pham Dinh; Le Thi Hoai An 167 1998 SNOPT: An SQP algorithm for large-scale constrained optimization. Zbl 1027.90111Gill, Philip E.; Murray, Walter; Saunders, Michael A. 162 2002 A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis, numerical results. Zbl 0761.90090Schramm, Helga; Zowe, Jochem 159 1992 Globally convergent inexact Newton methods. Zbl 0814.65049Eisenstat, Stanley C.; Walker, Homer F. 159 1994 On the convergence of pattern search algorithms. Zbl 0884.65053Torczon, Virginia 158 1997 Fixed-point continuation for \(\ell _1\)-minimization: methodology and convergence. Zbl 1180.65076Hale, Elaine T.; Yin, Wotao; Zhang, Yin 158 2008 Convex approximations of chance constrained programs. Zbl 1126.90056Nemirovski, Arkadi; Shapiro, Alexander 153 2006 Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082Pang, Jong-Shi; Qi, Liqun 151 1993 Robust solutions to uncertain semidefinite programs. Zbl 0960.93007El Ghaoui, Laurent; Oustry, Francois; Lebret, Hervé 149 1998 Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. Zbl 0872.90098Kojima, Masakazu; Shindoh, Susumu; Hara, Shinji 149 1997 An interior-point method for semidefinite programming. Zbl 0853.65066Helmberg, Christoph; Rendl, Franz; Vanderbei, Robert J.; Wolkowicz, Henry 146 1996 Dual stochastic dominance and related mean-risk models. Zbl 1022.91017Ogryczak, Włodzimierz; Ruszczynski, Andrzej 139 2002 Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287Das, Indraneel; Dennis, J. E. 139 1998 A spectral bundle method for semidefinite programming. Zbl 0960.65074Helmberg, C.; Rendl, F. 136 2000 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004Dontchev, A. L.; Rockafellar, R. T. 134 1996 Convergence analysis of a proximal-like minimization algorithm using Bregman functions. Zbl 0808.90103Chen, Gong; Teboulle, Marc 134 1993 Benchmarking derivative-free optimization algorithms. Zbl 1187.90319Moré, Jorge J.; Wild, Stefan M. 132 2009 On augmented Lagrangian methods with general lower-level constraints. Zbl 1151.49027Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 132 2007 An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge 129 1999 Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Zbl 0911.65047Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L. 128 1998 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 127 2002 A comparative study of kernel functions for primal-dual interior-point algorithms in linear optimization. Zbl 1077.90038Bai, Y. Q.; El Ghami, M.; Roos, C. 126 2004 Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. Zbl 1010.90086Scholtes, Stefan 124 2001 A sample approximation approach for optimization with probabilistic constraints. Zbl 1177.90301Luedtke, James; Ahmed, Shabbir 124 2008 Prox-method with rate of convergence \(O(1/t)\) for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems. Zbl 1106.90059Nemirovski, Arkadi 122 2004 A combined smoothing and regularization method for monotone second-order cone complementarity problems. Zbl 1114.90139Hayashi, Shunsuke; Yamashita, Nobuo; Fukushima, Masao 121 2005 Rank-sparsity incoherence for matrix decomposition. Zbl 1226.90067Chandrasekaran, Venkat; Sanghavi, Sujay; Parrilo, Pablo A.; Willsky, Alan S. 119 2011 A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan 119 2010 Optimization with stochastic dominance constraints. Zbl 1055.90055Dentcheva, Darinka; Ruszczynski, Andrzej 118 2003 Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152He, Bingsheng; Tao, Min; Yuan, Xiaoming 118 2012 Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities. Zbl 0855.47043Zhu, D. L.; Marcotte, P. 117 1996 Clarke subgradients of stratifiable functions. Zbl 1142.49006Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro 113 2007 Line search filter methods for nonlinear programming: motivation and global convergence. Zbl 1114.90128Wächter, Andreas; Biegler, Lorenz T. 111 2005 Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas 109 2002 Approximation of the stability number of a graph via copositive programming. Zbl 1035.90058de Klerk, E.; Pasechnik, D. V. 109 2002 Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces. Zbl 1168.47047Kohsaka, Fumiaki; Takahashi, Wataru 109 2008 Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings. Zbl 1143.47047Nadezhkina, Natalia; Takahashi, Wataru 109 2006 Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115Tao, Min; Yuan, Xiaoming 108 2011 On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem. Zbl 0803.90092Zhang, Yin 108 1994 A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 107 2005 Variable metric method for minimization. Zbl 0752.90062Davidon, William C. 103 1991 A nonlinear conjugate gradient algorithm with an optimal property and an improved Wolfe line search. Zbl 1266.49065Dai, Yu-Hong; Kou, Cai-Xia 102 2013 A class of globally convergent optimization methods based on conservative convex separable approximations. Zbl 1035.90088Svanberg, Krister 102 2002 Incremental subgradient methods for nondifferentiable optimization. Zbl 0991.90099Nedic, Angelia; Bertsekas, Dimitri P. 100 2001 On the calmness of a class of multifunctions. Zbl 1028.49018Henrion, René; Jourani, Abderrahim; Outrata, Jiri 99 2002 A new merit function for nonlinear complementarity problems and a related algorithm. Zbl 0873.90096Facchinei, Francisco; Soares, João 98 1997 Primal–dual path-following algorithms for semidefinite programming. Zbl 0913.65051Monteiro, Renato D. C. 98 1997 Analysis of generalized pattern searches. Zbl 1053.90118Audet, Charles; Dennis, J. E. jun. 97 2003 Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space. Zbl 1079.90096Alvarez, Felipe 97 2004 On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming. Zbl 0913.65050Zhang, Yin 96 1998 Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. Zbl 1109.65058Waki, Hayato; Kim, Sunyoung; Kojima, Masakazu; Muramatsu, Masakazu 94 2006 Projected reflected gradient methods for monotone variational inequalities. Zbl 1314.47099Malitsky, Yu. 93 2015 On the accurate identification of active constraints. Zbl 0960.90080Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 87 1998 On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037Qi, Liqun; Wei, Zengxin 86 2000 Optimal inequalities in probability theory: A convex optimization approach. Zbl 1077.60020Bertsimas, Dimitris; Popescu, Ioana 86 2005 A monotone+skew splitting model for composite monotone inclusions in duality. Zbl 1239.47053Briceño-Arias, Luis M.; Combettes, Patrick L. 86 2011 On implementing Mehrotra’s predictor-corrector interior-point method for linear programming. Zbl 0771.90066Lustig, Irvin J.; Marsten, Roy E.; Shanno, David F. 85 1992 Newton’s method for large bound-constrained optimization problems. Zbl 0957.65064Lin, Chih-Jen; Moré, Jorge J. 84 1999 Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048Brown, Peter N.; Saad, Youcef 84 1994 Line search filter methods for nonlinear programming: local convergence. Zbl 1115.90056Wächter, Andreas; Biegler, Lorenz T. 84 2005 Convergence of proximal-like algorithms. Zbl 0890.90151Teboulle, Marc 83 1997 A new active set algorithm for box constrained optimization. Zbl 1165.90570Hager, William W.; Zhang, Hongchao 82 2006 Solving the trust-region subproblem using the Lanczos method. Zbl 1047.90510Gould, Nicholas I. M.; Lucidi, Stefano; Roma, Massimo; Toint, Philippe L. 81 1999 A full-Newton step \(O(n)\) infeasible interior-point algorithm for linear optimization. Zbl 1131.90029Roos, C. 81 2006 Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan 81 2006 On the Nesterov-Todd direction in semidefinite programming. Zbl 0913.90217Todd, M. J.; Toh, K. C.; Tütüncü, R. H. 80 1998 Semismooth Newton methods for operator equations in function spaces. Zbl 1033.49039Ulbrich, Michael 79 2003 New results on quadratic minimization. Zbl 1043.90064Ye, Yinyu; Zhang, Shuzhong 79 2003 A pattern search filter method for nonlinear programming without derivatives. Zbl 1073.90066Audet, Charles; Dennis, J. E. jun. 79 2004 Interior gradient and proximal methods for convex and conic optimization. Zbl 1113.90118Auslender, Alfred; Teboulle, Marc 79 2006 Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. Zbl 1250.47064Kassay, Gábor; Reich, Simeon; Sabach, Shoham 79 2011 On the global convergence of the BFGS method for nonconvex unconstrained optimization problems. Zbl 1010.90079Li, Dong-Hui; Fukushima, Masao 78 2001 Robust truss topology design via semidefinite programming. Zbl 0899.90133Ben-Tal, A.; Nemirovski, A. 77 1997 Low-rank matrix completion by Riemannian optimization. Zbl 1277.15021Vandereycken, Bart 76 2013 The rate of convergence of Nesterov’s accelerated forward-backward method is actually faster than \(1/k^2\). Zbl 1346.49048Attouch, Hedy; Peypouquet, Juan 75 2016 On the solution of large quadratic programming problems with bound constraints. Zbl 0752.90053Moré, Jorge J.; Toraldo, Gerardo 74 1991 Convergence rates in forward–backward splitting. Zbl 0876.49009Chen, George H-G.; Rockafellar, R. T. 73 1997 On the convergence of block coordinate descent type methods. Zbl 1297.90113Beck, Amir; Tetruashvili, Luba 73 2013 Generalized momentum-based methods: a Hamiltonian perspective. Zbl 1462.90087Diakonikolas, Jelena; Jordan, Michael I. 2 2021 Generalized penalty and regularization method for differential variational-hemivariational inequalities. Zbl 07341863Zhenhai; Motreanu, Dumitru; Zeng, Shengda 2 2021 Convergence and dynamical behavior of the ADAM algorithm for nonconvex stochastic optimization. Zbl 1465.90050Barakat, Anas; Bianchi, Pascal 2 2021 A Bregman forward-backward linesearch algorithm for nonconvex composite optimization: superlinear convergence to nonisolated local minima. Zbl 1461.90105Ahookhosh, Masoud; Themelis, Andreas; Patrinos, Panagiotis 2 2021 Exact semidefinite programming bounds for packing problems. Zbl 07351611Dostert, Maria; de Laat, David; Moustrou, Philippe 1 2021 Analysis and algorithms for some compressed sensing models based on L1/L2 minimization. Zbl 07364041Zeng, Liaoyuan; Yu, Peiran; Pong, Ting Kei 1 2021 An average curvature accelerated composite gradient method for nonconvex smooth composite optimization problems. Zbl 1458.90525Liang, Jiaming; Monteiro, Renato D. C. 1 2021 On high-order multilevel optimization strategies. Zbl 1458.90586Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier 1 2021 Stochastic approximation for optimization in shape spaces. Zbl 1458.49034Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin 1 2021 Optimization of quasi-convex function over product measure sets. Zbl 07304311Stenger, Jérôme; Gamboa, Fabrice; Keller, Merlin 1 2021 TSSOS: a moment-SOS hierarchy that exploits term sparsity. Zbl 07305921Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard 1 2021 Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. Zbl 1457.90106Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard 1 2021 On a semismooth* Newton method for solving generalized equations. Zbl 1462.90141Gfrerer, Helmut; Outrata, Jiří V. 1 2021 Variational analysis in normed spaces with applications to constrained optimization. Zbl 1459.49007Mohammadi, Ashkan; Mordukhovich, Boris S. 1 2021 A forward-backward splitting method for monotone inclusions without cocoercivity. Zbl 1445.47041Malitsky, Yura; Tam, Matthew K. 12 2020 Inexact cuts in stochastic dual dynamic programming. Zbl 1430.90444Guigues, Vincent 6 2020 Critical cones for sufficient second order conditions in PDE constrained optimization. Zbl 1431.35077Casas, Eduardo; Mateos, Mariano 5 2020 A stochastic line search method with expected complexity analysis. Zbl 1431.90153Paquette, Courtney; Scheinberg, Katya 5 2020 Tensor methods for minimizing convex functions with Hölder continuous higher-order derivatives. Zbl 1451.90119Grapiglia, G. N.; Nesterov, Yu. 4 2020 Nonconvex robust low-rank matrix recovery. Zbl 07175265Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René 4 2020 The boosted difference of convex functions algorithm for nonsmooth functions. Zbl 1461.65119Aragón Artacho, Francisco J.; Vuong, Phan T. 4 2020 Scalable algorithms for the sparse ridge regression. Zbl 1458.90489Xie, Weijun; Deng, Xinwei 4 2020 Douglas-Rachford splitting and ADMM for nonconvex optimization: tight convergence results. Zbl 1434.90158Themelis, Andreas; Patrinos, Panagiotis 4 2020 Operator splitting performance estimation: tight contraction factors and optimal parameter selection. Zbl 07248639Ryu, Ernest K.; Taylor, Adrien B.; Bergeling, Carolina; Giselsson, Pontus 3 2020 A distributed flexible delay-tolerant proximal gradient algorithm. Zbl 1441.90120Mishchenko, Konstantin; Iutzeler, Franck; Malick, Jérôme 3 2020 A single timescale stochastic approximation method for nested stochastic optimization. Zbl 1441.90106Ghadimi, Saeed; Ruszczyński, Andrzej; Wang, Mengdi 3 2020 Noisy matrix completion: understanding statistical guarantees for convex relaxation via nonconvex optimization. Zbl 07271856Chen, Yuxin; Chi, Yuejie; Fan, Jianqing; Ma, Cong; Yan, Yuling 3 2020 Contracting proximal methods for smooth convex optimization. Zbl 1454.90052Doikov, Nikita; Nesterov, Yurii 3 2020 On the convergence to stationary points of deterministic and randomized feasible descent directions methods. Zbl 1434.90148Beck, Amir; Hallak, Nadav 3 2020 Worst-case convergence analysis of inexact gradient and Newton methods through semidefinite programming performance estimation. Zbl 1448.90070De Klerk, Etienne; Glineur, François; Taylor, Adrien B. 2 2020 Twice epi-differentiability of extended-real-valued functions with applications in composite optimization. Zbl 1448.49024Mohammadi, Ashkan; Sarabi, M. Ebrahim 2 2020 Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints. Zbl 1437.90128Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. 2 2020 Limitations on the expressive power of convex cones without long chains of faces. Zbl 1436.90108Saunderson, James 2 2020 Risk-averse models in bilevel stochastic linear programming. Zbl 1431.90099Burtscheidt, Johanna; Claus, Matthias; Dempe, Stephan 2 2020 Robust accelerated gradient methods for smooth strongly convex functions. Zbl 1461.62145Aybat, Necdet Serhat; Fallah, Alireza; Gürbüzbalaban, Mert; Ozdaglar, Asuman 2 2020 Convergence rate of \(\mathcal{O}(1/k)\) for optimistic gradient and extragradient methods in smooth convex-concave saddle point problems. Zbl 1454.90057Mokhtari, Aryan; Ozdaglar, Asuman E.; Pattathil, Sarath 2 2020 Data-driven nonsmooth optimization. Zbl 1435.90105Banert, Sebastian; Ringh, Axel; Adler, Jonas; Karlsson, Johan; Öktem, Ozan 2 2020 A note on the nonemptiness and compactness of solution sets of weakly homogeneous variational inequalities. Zbl 1435.90135Ma, Xiao-Xiao; Zheng, Meng-Meng; Huang, Zheng-Hai 2 2020 Proximal gradient method for nonsmooth optimization over the Stiefel manifold. Zbl 1434.90195Chen, Shixiang; Ma, Shiqian; Man-Cho So, Anthony; Zhang, Tong 2 2020 Robust optimality and duality in multiobjective optimization problems under data uncertainty. Zbl 07213880Chuong, Thai Doan 1 2020 Primal-dual stochastic gradient method for convex programs with many functional constraints. Zbl 1445.90070Xu, Yangyang 1 2020 Multicomposite nonconvex optimization for training deep neural networks. Zbl 1445.90086Cui, Ying; He, Ziyu; Pang, Jong-Shi 1 2020 Revisiting EXTRA for smooth distributed optimization. Zbl 1447.90030Li, Huan; Lin, Zhouchen 1 2020 Efficient techniques for shape optimization with variational inequalities using adjoints. Zbl 1444.49014Luft, Daniel; Schulz, Volker H.; Welker, Kathrin 1 2020 Periodical multistage stochastic programs. Zbl 1448.90066Shapiro, Alexander; Ding, Lingquan 1 2020 Finite convergence of proximal-gradient inertial algorithms combining dry friction with Hessian-driven damping. Zbl 1452.65103Adly, Samir; Attouch, Hedy 1 2020 A nonsmooth trust-region method for locally Lipschitz functions with application to optimization problems constrained by variational inequalities. Zbl 1446.49006Christof, Constantin; De los Reyes, Juan Carlos; Meyer, Christian 1 2020 A proximal point dual Newton algorithm for solving group graphical Lasso problems. Zbl 1448.90096Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan 1 2020 Solving chance-constrained problems via a smooth sample-based nonlinear approximation. Zbl 1448.90065Peña-Ordieres, Alejandra; Luedtke, James R.; Wächter, Andreas 1 2020 A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization. Zbl 1464.90070Zhang, Jiawei; Luo, Zhi-Quan 1 2020 On the computation of Kantorovich-Wasserstein distances between two-dimensional histograms by uncapacitated minimum cost flows. Zbl 1450.90008Bassetti, Federico; Gualandi, Stefano; Veneroni, Marco 1 2020 On the behavior of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint. Zbl 1451.90117Bauschke, Heinz H.; Moursi, Walaa M. 1 2020 Rank optimality for the Burer-Monteiro factorization. Zbl 1451.90114Waldspurger, Irène; Waters, Alden 1 2020 A new constraint qualification and sharp optimality conditions for nonsmooth mathematical programming problems in terms of quasidifferentials. Zbl 07258107Dolgopolik, M. V. 1 2020 Generalized conditional gradient with augmented Lagrangian for composite minimization. Zbl 1450.65054Silveti-Falls, Antonio; Molinari, Cesare; Fadili, Jalal 1 2020 Stochastic three points method for unconstrained smooth minimization. Zbl 1451.90150Bergou, El Houcine; Gorbunov, Eduard; Richtárik, Peter 1 2020 Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan 1 2020 A data-independent distance to infeasibility for linear conic systems. Zbl 1437.90120Peña, Javier; Roshchina, Vera 1 2020 Exact converging bounds for stochastic dual dynamic programming via Fenchel duality. Zbl 1444.90086Leclère, Vincent; Carpentier, Pierre; Chancelier, Jean-Philippe; Lenoir, Arnaud; Pacaud, François 1 2020 A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 07202484Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 1 2020 Pathological subgradient dynamics. Zbl 1444.90111Daniilidis, Aris; Drusvyatskiy, Dmitriy 1 2020 Inertial, corrected, primal-dual proximal splitting. Zbl 07202490Valkonen, Tuomo 1 2020 On the convergence of stochastic gradient descent for nonlinear ill-posed problems. Zbl 07202491Jin, Bangti; Zhou, Zehui; Zou, Jun 1 2020 Gradient-based solution algorithms for a class of bilevel optimization and optimal control problems with a nonsmooth lower level. Zbl 1432.49007Christof, Constantin 1 2020 Existence of Lagrange multipliers under Gâteaux differentiable data with applications to stochastic optimal control problems. Zbl 07166153Jourani, Abderrahim; Silva, Francisco J. 1 2020 New constraint qualifications for optimization problems in Banach spaces based on asymptotic KKT conditions. Zbl 1453.90182Börgens, Eike; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 1 2020 The convex hull of a quadratic constraint over a polytope. Zbl 1453.90115Santana, Asteroide; Dey, Santanu S. 1 2020 Convergence of inexact forward-backward algorithms using the forward-backward envelope. Zbl 1452.65105Bonettini, S.; Prato, M.; Rebegoldi, S. 1 2020 Globally convergent type-I Anderson acceleration for nonsmooth fixed-point iterations. Zbl 07284421Zhang, Junzi; O’Donoghue, Brendan; Boyd, Stephen 1 2020 Newton-like inertial dynamics and proximal algorithms governed by maximally monotone operators. Zbl 07284424Attouch, Hedy; László, Szilárd Csaba 1 2020 A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031Zhang, Chao; Chen, Xiaojun 1 2020 On the complexity of an inexact restoration method for constrained optimization. Zbl 1453.90162Bueno, Luís Felipe; Martínez, José Mario 1 2020 Sharpness, restart, and acceleration. Zbl 1435.90109Roulet, Vincent; d’Aspremont, Alexandre 1 2020 Stochastic model-based minimization of weakly convex functions. Zbl 1415.65136Davis, Damek; Drusvyatskiy, Dmitriy 19 2019 Gradient descent finds the cubic-regularized nonconvex Newton step. Zbl 1461.65135Carmon, Yair; Duchi, John 14 2019 Optimality conditions and constraint qualifications for generalized Nash equilibrium problems and their practical implications. Zbl 1422.91049Bueno, Luís Felipe; Haeser, Gabriel; Rojas, Frank Navarro 11 2019 New sequential optimality conditions for mathematical programs with complementarity constraints and algorithmic consequences. Zbl 1427.90258Andreani, R.; Haeser, G.; Secchin, Leonardo D.; Silva, P. J. S. 10 2019 Universal regularization methods: varying the power, the smoothness and the accuracy. Zbl 1436.90136Cartis, Coralia; Gould, Nick I.; Toint, Philippe L. 10 2019 A sequential optimality condition related to the quasi-normality constraint qualification and its algorithmic consequences. Zbl 1451.90166Andreani, Roberto; Fazzio, Nadia S.; Schuverdt, Maria L.; Secchin, Leonardo D. 10 2019 On representer theorems and convex regularization. Zbl 1423.49036Boyer, Claire; Chambolle, Antonin; De Castro, Yohann; Duval, Vincent; De Gournay, Frédéric; Weiss, Pierre 10 2019 Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin 9 2019 Randomized projection methods for convex feasibility: conditioning and convergence rates. Zbl 1430.90463Necoara, Ion; Richtárik, Peter; Patrascu, Andrei 8 2019 The mesh adaptive direct search algorithm for granular and discrete variables. Zbl 1411.90229Audet, Charles; Le Digabel, Sébastien; Tribes, Christophe 8 2019 Accelerated regularized Newton methods for minimizing composite convex functions. Zbl 1406.49030Grapiglia, Geovani N.; Nesterov, Yurii 8 2019 Adaptive regularization algorithms with inexact evaluations for nonconvex optimization. Zbl 1427.90228Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta; Toint, Philippe L. 7 2019 Variance-based extragradient methods with line search for stochastic variational inequalities. Zbl 1415.65145Iusem, Alfredo N.; Jofré, Alejandro; Oliveira, Roberto I.; Thompson, Philip 7 2019 Second-order variational analysis of parametric constraint and variational systems. Zbl 1408.49015Gfrerer, Helmut; Mordukhovich, Boris S. 7 2019 A proximal minimization algorithm for structured nonconvex and nonsmooth problems. Zbl 1431.65088Boţ, Radu Ioan; Csetnek, Ernö Robert; Nguyen, Dang-Khoa 7 2019 Fast proximal methods via time scaling of damped inertial dynamics. Zbl 07105235Attouch, Hedy; Chbani, Zaki; Riahi, Hassan 6 2019 Adaptive Douglas-Rachford splitting algorithm for the sum of two operators. Zbl 1440.47054Dao, Minh N.; Phan, Hung M. 6 2019 Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge 6 2019 Unifying abstract inexact convergence theorems and block coordinate variable metric iPiano. Zbl 1411.32009Ochs, Peter 6 2019 A branch-and-bound-based algorithm for nonconvex multiobjective optimization. Zbl 1414.90288Niebling, Julia; Eichfelder, Gabriele 6 2019 Gradient method for optimization on Riemannian manifolds with lower bounded curvature. Zbl 1429.90051Ferreira, O. P.; Louzeiro, Mauricio Silva; Prudente, L. F. 5 2019 Complexity of a quadratic penalty accelerated inexact proximal point method for solving linearly constrained nonconvex composite programs. Zbl 07118631Kong, Weiwei; Melo, Jefferson G.; Monteiro, Renato D. C. 5 2019 Optimal convergence rates for Nesterov acceleration. Zbl 1453.90117Aujol, Jean-Francois; Dossal, Charles; Rondepierre, Aude 5 2019 The approximate duality gap technique: a unified theory of first-order methods. Zbl 1412.90085Diakonikolas, Jelena; Orecchia, Lorenzo 5 2019 The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel 5 2019 Sum-of-squares optimization without semidefinite programming. Zbl 1412.90114Papp, Dávid; Yildiz, Sercan 5 2019 Criticality of Lagrange multipliers in variational systems. Zbl 1421.90144Mordukhovich, Boris; Sarabi, Ebrahim 5 2019 ...and 1664 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 18,604 Authors 150 Yao, Jen-Chih 116 Qi, Liqun 98 Martínez, José Mario 89 Yang, Xiaoqi 87 Jeyakumar, Vaithilingam 85 Mordukhovich, Boris S. 83 Zhang, Liwei 80 Le Thi, Hoai An 76 Boţ, Radu Ioan 72 Kanzow, Christian 70 Chen, Jein-Shan 67 Li, Guoyin 67 López-Cerdá, Marco Antonio 66 Ceng, Lu-Chuan 66 Zhu, Detong 64 Kumam, Poom 64 Yuan, Xiaoming 63 Jian, Jinbao 62 Huang, Zheng-Hai 61 Liu, Hongwei 59 Pham Dinh Tao 57 Han, Deren 56 Bauschke, Heinz H. 54 Ma, Changfeng 54 Shehu, Yekini 53 Cho, Yeol Je 53 Sun, Defeng 53 Xiu, Naihua 52 Pang, Jong-Shi 51 Fukushima, Masao 51 Kheirfam, Behrouz 51 Noor, Muhammad Aslam 50 Solodov, Mikhail V. 49 Huang, Nan-Jing 49 Lasserre, Jean-Bernard 49 Pan, Shaohua 48 Birgin, Ernesto G. 48 Chen, Xiaojun 48 Toint, Philippe L. 47 Pang, Liping 47 Teo, Kok Lay 47 Wei, Zengxin 47 Zhang, Shuzhong 45 Chuong, Thai Doan 45 Dai, Yu-Hong 44 Dempe, Stephan 44 Iusem, Alfredo Noel 44 Lucidi, Stefano 44 Terlaky, Tamás 43 Bai, Yanqin 43 Yuan, Ya-xiang 42 Ansari, Qamrul Hasan 42 Csetnek, Ernö Robert 42 Outrata, Jiří V. 42 Wang, Shawn Xianfu 41 Attouch, Hedy 41 Goberna, Miguel Angel 40 Hintermüller, Michael 40 Lee, Gue Myung 40 Santos, Sandra Augusta 40 Sun, Jie 40 Takahashi, Wataru 39 Yuan, Gonglin 39 Zhou, Jinchuan 38 Dang Van Hieu 38 Gondzio, Jacek 38 Kunisch, Karl 38 Nie, Jiawang 38 Xia, Yong 38 Ye, Yinyu 38 Yin, Gang George 37 de Klerk, Etienne 37 Ferreira, Orizon Pereira 36 Liu, Sanyang 36 Monteiro, Renato D. 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