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: 2,530 Publications (since 1991) References Indexed: 919 Publications with 35,985 References. all top 5 Latest Issues 32, No. 4 (2022) 32, No. 3 (2022) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 4 (2021) 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) ...and 28 more Volumes all top 5 Authors 30 Monteiro, Renato D. C. 30 Ng, Kung-Fu 27 Sun, Defeng 27 Toh, Kim Chuan 26 Mordukhovich, Boris S. 25 Tseng, Paul 24 Li, Chong 21 Lasserre, Jean-Bernard 21 Nocedal, Jorge 20 Chen, Xiaojun 20 Luo, Zhi-Quan 20 Toint, Philippe L. 20 Ye, Jane J. 20 Zheng, Xiyin 19 Kanzow, Christian 19 Qi, Liqun 18 Fukushima, Masao 18 Pang, Jong-Shi 18 Zhang, Shuzhong 17 Byrd, Richard H. 17 Dennis, John E. jun. 17 Lewis, Adrian S. 17 López-Cerdá, Marco Antonio 17 Lucidi, Stefano 16 Beck, Amir 16 Martínez, José Mario 16 Solodov, Mikhail V. 15 Audet, Charles 15 Bauschke, Heinz H. 15 Curtis, Frank E. 15 Kojima, Masakazu 15 Li, Duan 15 Nesterov, Yurii 15 Potra, Florian-Alexandru 15 Shapiro, Alexander 15 Wright, Stephen J. 14 Gould, Nicholas Ian Mark 14 Lan, Guanghui 14 Mehrotra, Sanjay 14 Robinson, Daniel P. 14 Teboulle, Marc 14 Wang, Shawn Xianfu 14 Xu, Huifu 14 Ye, Yinyu 13 Burke, James V. 13 de Klerk, Etienne 13 Hintermüller, Michael 13 Izmailov, Alekseĭ F. 13 Roos, Cornelis 13 Svaiter, Benar Fux 13 Vicente, Luis Nunes 12 Attouch, Hedy 12 Ben-Tal, Aharon 12 Bertsekas, Dimitri Panteli 12 Jeyakumar, Vaithilingam 12 Li, Guoyin 12 Nie, Jiawang 12 Outrata, Jiří V. 12 Pong, Ting Kei 12 Sun, Jie 11 Borwein, Jonathan Michael 11 Dey, Santanu Subhas 11 Gfrerer, Helmut 11 Jongen, Hubertus Th. 11 Kiwiel, Krzysztof Czesław 11 Kunisch, Karl 11 Laurent, Monique 11 Lu, Zhaosong 11 Nemirovski, Arkadi S. 11 Wächter, Andreas 11 Zhang, Yin 10 Anitescu, Mihai 10 Anstreicher, Kurt M. 10 Leyffer, Sven 10 Parrilo, Pablo A. 10 Rockafellar, Ralph Tyrrell 10 Tapia, Richard A. 10 Terlaky, Tamás 10 Torczon, Virginia J. 10 Yang, Xiaoqi 10 Yao, Jen-Chih 10 Yuan, Ya-xiang 9 Andreani, Roberto 9 Daniilidis, Aris 9 Dentcheva, Darinka 9 Drusvyatskiy, Dmitriy 9 Fletcher, Roger 9 Freund, Robert M. 9 Gill, Philip E. 9 Gonzaga, Clovis C. 9 Kočvara, Michal 9 Peña, Javier F. 9 Rinaldi, Francesco 9 Ruszczyński, Andrzej 9 Schultz, Rüdiger 9 Tsuchiya, Takashi 9 Ulbrich, Michael 9 Wets, Roger Jean-Baptiste 9 Wolkowicz, Henry 9 Zhao, Yunbin ...and 2,593 more Authors all top 5 Fields 2,293 Operations research, mathematical programming (90-XX) 999 Numerical analysis (65-XX) 716 Calculus of variations and optimal control; optimization (49-XX) 185 Computer science (68-XX) 121 Operator theory (47-XX) 103 Convex and discrete geometry (52-XX) 88 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 79 Linear and multilinear algebra; matrix theory (15-XX) 79 Statistics (62-XX) 57 Functional analysis (46-XX) 54 Systems theory; control (93-XX) 50 Algebraic geometry (14-XX) 48 Real functions (26-XX) 46 Combinatorics (05-XX) 43 Global analysis, analysis on manifolds (58-XX) 40 Partial differential equations (35-XX) 40 Probability theory and stochastic processes (60-XX) 38 Approximations and expansions (41-XX) 28 Information and communication theory, circuits (94-XX) 26 Ordinary differential equations (34-XX) 24 Mechanics of deformable solids (74-XX) 18 Biology and other natural sciences (92-XX) 15 Number theory (11-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Field theory and polynomials (12-XX) 12 Commutative algebra (13-XX) 12 General topology (54-XX) 7 Measure and integration (28-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 7 Mechanics of particles and systems (70-XX) 6 Nonassociative rings and algebras (17-XX) 5 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 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-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 2,295 Publications have been cited 53,679 times in 23,513 Documents Cited by ▼ Year ▼ Global optimization with polynomials and the problem of moments. Zbl 1010.90061Lasserre, Jean B. 616 2001 Strong convergence of a proximal-type algorithm in a Banach space. Zbl 1101.90083Kamimura, Shoji; Takahashi, Wataru 444 2003 A singular value thresholding algorithm for matrix completion. Zbl 1201.90155Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei 435 2010 A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085Hager, William W.; Zhang, Hongchao 381 2005 The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074Hintermüller, M.; Ito, K.; Kunisch, K. 372 2003 A nonlinear conjugate gradient method with a strong global convergence property. Zbl 0957.65061Dai, Yuhong; Yuan, Yaxiang 369 1999 Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082Gilbert, Jean Charles; Nocedal, Jorge 360 1992 On the implementation of a primal-dual interior point method. Zbl 0773.90047Mehrotra, Sanjay 320 1992 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. 299 1998 Robust stochastic approximation approach to stochastic programming. Zbl 1189.90109Nemirovski, A.; Juditsky, A.; Lan, G.; Shapiro, A. 296 2009 Cones of matrices and set-functions and 0-1 optimization. Zbl 0754.90039Lovász, László; Schrijver, A. 293 1991 The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem. Zbl 0898.90119Raydan, Marcos 292 1997 The sample average approximation method for stochastic discrete optimization. Zbl 0991.90090Kleywegt, Anton J.; Shapiro, Alexander; Homem-de-Mello, Tito 281 2001 Nonmonotone spectral projected gradient methods on convex sets. Zbl 1047.90077Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos 275 2000 A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024Zhang, Hongchao; Hager, William W. 268 2004 An interior trust region approach for nonlinear minimization subject to bounds. Zbl 0855.65063Coleman, Thomas F.; Li, Yuying 249 1996 The Łojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems. Zbl 1129.26012Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian 240 2007 Efficiency of coordinate descent methods on huge-scale optimization problems. Zbl 1257.90073Nesterov, Yu. 233 2012 Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078Audet, Charles; Dennis, J. E. jun. 215 2006 Interior point methods in semidefinite programming with applications to combinatorial optimization. Zbl 0833.90087Alizadeh, Farid 206 1995 Primal-dual interior-point methods for self-scaled cones. Zbl 0922.90110Nesterov, Yu. E.; Todd, M. J. 205 1998 Convex approximations of chance constrained programs. Zbl 1126.90056Nemirovski, Arkadi; Shapiro, Alexander 202 2006 Smoothing functions for second-order-cone complementarity problems. Zbl 0995.90094Fukushima, Masao; Luo, Zhi-Quan; Tseng, Paul 201 2001 A D. C. optimization algorithm for solving the trust-region subproblem. Zbl 0913.65054Tao, Pham Dinh; Le Thi Hoai An 194 1998 On the convergence of pattern search algorithms. Zbl 0884.65053Torczon, Virginia 181 1997 Fixed-point continuation for \(\ell _1\)-minimization: methodology and convergence. Zbl 1180.65076Hale, Elaine T.; Yin, Wotao; Zhang, Yin 174 2008 Globally convergent inexact Newton methods. Zbl 0814.65049Eisenstat, Stanley C.; Walker, Homer F. 174 1994 SNOPT: An SQP algorithm for large-scale constrained optimization. Zbl 1027.90111Gill, Philip E.; Murray, Walter; Saunders, Michael A. 172 2002 Robust solutions to uncertain semidefinite programs. Zbl 0960.93007El Ghaoui, Laurent; Oustry, Francois; Lebret, Hervé 171 1998 A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis, numerical results. Zbl 0761.90090Schramm, Helga; Zowe, Jochem 171 1992 Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287Das, Indraneel; Dennis, J. E. 170 1998 Benchmarking derivative-free optimization algorithms. Zbl 1187.90319Moré, Jorge J.; Wild, Stefan M. 167 2009 A spectral bundle method for semidefinite programming. Zbl 0960.65074Helmberg, C.; Rendl, F. 166 2000 A sample approximation approach for optimization with probabilistic constraints. Zbl 1177.90301Luedtke, James; Ahmed, Shabbir 164 2008 Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082Pang, Jong-Shi; Qi, Liqun 162 1993 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 162 2004 An interior-point method for semidefinite programming. Zbl 0853.65066Helmberg, Christoph; Rendl, Franz; Vanderbei, Robert J.; Wolkowicz, Henry 162 1996 Convergence analysis of a proximal-like minimization algorithm using Bregman functions. Zbl 0808.90103Chen, Gong; Teboulle, Marc 161 1993 Projected reflected gradient methods for monotone variational inequalities. Zbl 1314.47099Malitsky, Yu. 159 2015 Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. Zbl 0872.90098Kojima, Masakazu; Shindoh, Susumu; Hara, Shinji 156 1997 Clarke subgradients of stratifiable functions. Zbl 1142.49006Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro 156 2007 An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge 154 1999 On augmented Lagrangian methods with general lower-level constraints. Zbl 1151.49027Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. 154 2007 Dual stochastic dominance and related mean-risk models. Zbl 1022.91017Ogryczak, Włodzimierz; Ruszczynski, Andrzej 151 2002 Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space. Zbl 1079.90096Alvarez, Felipe 146 2004 Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152He, Bingsheng; Tao, Min; Yuan, Xiaoming 144 2012 Rank-sparsity incoherence for matrix decomposition. Zbl 1226.90067Chandrasekaran, Venkat; Sanghavi, Sujay; Parrilo, Pablo A.; Willsky, Alan S. 143 2011 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. 141 1998 A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan 141 2010 On the global convergence of a filter-SQP algorithm. Zbl 1029.65063Fletcher, Roger; Leyffer, Sven; Toint, Philippe L. 140 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. 140 2004 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004Dontchev, A. L.; Rockafellar, R. T. 139 1996 Optimization with stochastic dominance constraints. Zbl 1055.90055Dentcheva, Darinka; Ruszczynski, Andrzej 138 2003 Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities. Zbl 0855.47043Zhu, D. L.; Marcotte, P. 137 1996 Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. Zbl 1010.90086Scholtes, Stefan 134 2001 Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115Tao, Min; Yuan, Xiaoming 133 2011 Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces. Zbl 1168.47047Kohsaka, Fumiaki; Takahashi, Wataru 132 2008 Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings. Zbl 1143.47047Nadezhkina, Natalia; Takahashi, Wataru 131 2006 A combined smoothing and regularization method for monotone second-order cone complementarity problems. Zbl 1114.90139Hayashi, Shunsuke; Yamashita, Nobuo; Fukushima, Masao 129 2005 Approximation of the stability number of a graph via copositive programming. Zbl 1035.90058de Klerk, E.; Pasechnik, D. V. 129 2002 A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048Burke, James V.; Lewis, Adrian S.; Overton, Michael L. 126 2005 A nonlinear conjugate gradient algorithm with an optimal property and an improved Wolfe line search. Zbl 1266.49065Dai, Yu-Hong; Kou, Cai-Xia 126 2013 Line search filter methods for nonlinear programming: motivation and global convergence. Zbl 1114.90128Wächter, Andreas; Biegler, Lorenz T. 124 2005 A class of globally convergent optimization methods based on conservative convex separable approximations. Zbl 1035.90088Svanberg, Krister 123 2002 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 119 2002 Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. Zbl 1109.65058Waki, Hayato; Kim, Sunyoung; Kojima, Masakazu; Muramatsu, Masakazu 117 2006 Variable metric method for minimization. Zbl 0752.90062Davidon, William C. 117 1991 On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem. Zbl 0803.90092Zhang, Yin 115 1994 Incremental subgradient methods for nondifferentiable optimization. Zbl 0991.90099Nedic, Angelia; Bertsekas, Dimitri P. 115 2001 Analysis of generalized pattern searches. Zbl 1053.90118Audet, Charles; Dennis, J. E. jun. 111 2003 The rate of convergence of Nesterov’s accelerated forward-backward method is actually faster than \(1/k^2\). Zbl 1346.49048Attouch, Hedy; Peypouquet, Juan 111 2016 Optimal inequalities in probability theory: A convex optimization approach. Zbl 1077.60020Bertsimas, Dimitris; Popescu, Ioana 110 2005 On the calmness of a class of multifunctions. Zbl 1028.49018Henrion, René; Jourani, Abderrahim; Outrata, Jiri 108 2002 A monotone+skew splitting model for composite monotone inclusions in duality. Zbl 1239.47053Briceño-Arias, Luis M.; Combettes, Patrick L. 108 2011 On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming. Zbl 0913.65050Zhang, Yin 106 1998 Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems. Zbl 1356.49061Hong, Mingyi; Luo, Zhi-Quan; Razaviyayn, Meisam 105 2016 Primal–dual path-following algorithms for semidefinite programming. Zbl 0913.65051Monteiro, Renato D. C. 104 1997 Global convergence of splitting methods for nonconvex composite optimization. Zbl 1330.90087Li, Guoyin; Pong, Ting Kei 104 2015 A new merit function for nonlinear complementarity problems and a related algorithm. Zbl 0873.90096Facchinei, Francisco; Soares, João 104 1997 On the convergence of block coordinate descent type methods. Zbl 1297.90113Beck, Amir; Tetruashvili, Luba 103 2013 Low-rank matrix completion by Riemannian optimization. Zbl 1277.15021Vandereycken, Bart 103 2013 On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037Qi, Liqun; Wei, Zengxin 100 2000 Newton’s method for multiobjective optimization. Zbl 1195.90078Fliege, J.; Drummond, L. M. Graña; Svaiter, B. F. 100 2009 Convergence of the iterates of descent methods for analytic cost functions. Zbl 1092.90036Absil, P.-A.; Mahony, R.; Andrews, B. 98 2005 On the global convergence of the BFGS method for nonconvex unconstrained optimization problems. Zbl 1010.90079Li, Dong-Hui; Fukushima, Masao 97 2001 Interior gradient and proximal methods for convex and conic optimization. Zbl 1113.90118Auslender, Alfred; Teboulle, Marc 96 2006 Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. Zbl 1250.47064Kassay, Gábor; Reich, Simeon; Sabach, Shoham 96 2011 Convergence rates in forward–backward splitting. Zbl 0876.49009Chen, George H-G.; Rockafellar, R. T. 95 1997 A new active set algorithm for box constrained optimization. Zbl 1165.90570Hager, William W.; Zhang, Hongchao 95 2006 Solving the trust-region subproblem using the Lanczos method. Zbl 1047.90510Gould, Nicholas I. M.; Lucidi, Stefano; Roma, Massimo; Toint, Philippe L. 94 1999 Newton’s method for large bound-constrained optimization problems. Zbl 0957.65064Lin, Chih-Jen; Moré, Jorge J. 94 1999 On the accurate identification of active constraints. Zbl 0960.90080Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 93 1998 On implementing Mehrotra’s predictor-corrector interior-point method for linear programming. Zbl 0771.90066Lustig, Irvin J.; Marsten, Roy E.; Shanno, David F. 93 1992 Line search filter methods for nonlinear programming: local convergence. Zbl 1115.90056Wächter, Andreas; Biegler, Lorenz T. 92 2005 Robust truss topology design via semidefinite programming. Zbl 0899.90133Ben-Tal, A.; Nemirovski, A. 91 1997 A unified convergence analysis of block successive minimization methods for nonsmooth optimization. Zbl 1273.90123Razaviyayn, Meisam; Hong, Mingyi; Luo, Zhi-Quan 91 2013 A proximal stochastic gradient method with progressive variance reduction. Zbl 1321.65016Xiao, Lin; Zhang, Tong 90 2014 Stochastic first- and zeroth-order methods for nonconvex stochastic programming. Zbl 1295.90026Ghadimi, Saeed; Lan, Guanghui 90 2013 Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048Brown, Peter N.; Saad, Youcef 90 1994 Convergence of proximal-like algorithms. Zbl 0890.90151Teboulle, Marc 89 1997 Faster Lagrangian-based methods in convex optimization. Zbl 1486.90149Sabach, Shoham; Teboulle, Marc 3 2022 Distributed optimization based on gradient tracking revisited: enhancing convergence rate via surrogation. Zbl 07510407Sun, Ying; Scutari, Gesualdo; Daneshmand, Amir 2 2022 Distributed variable sample-size gradient-response and best-response schemes for stochastic Nash equilibrium problems. Zbl 1487.91003Lei, Jinlong; Shanbhag, Uday V. 2 2022 On the convergence of stochastic primal-dual hybrid gradient. Zbl 1494.90075Alacaoglu, Ahmet; Fercoq, Olivier; Cevher, Volkan 2 2022 Fast decentralized nonconvex finite-sum optimization with recursive variance reduction. Zbl 1484.90090Xin, Ran; Khan, Usman A.; Kar, Soummya 1 2022 A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge 1 2022 Openness, Hölder metric regularity, and Hölder continuity properties of semialgebraic set-valued maps. Zbl 1489.90193Lee, Jae Hyoung; Pham, Tien-Son 1 2022 Affinely adjustable robust linear complementarity problems. Zbl 1486.90135Biefel, Christian; Liers, Frauke; Rolfes, Jan; Schmidt, Martin 1 2022 The ratio-cut polytope and K-means clustering. Zbl 1486.90120De Rosa, Antonio; Khajavirad, Aida 1 2022 Hyperbolic relaxation of \(k\)-locally positive semidefinite matrices. Zbl 07516284Blekherman, Grigoriy; Dey, Santanu S.; Shu, Kevin; Sun, Shengding 1 2022 Finite convergence of sum-of-squares hierarchies for the stability number of a graph. Zbl 1487.05259Laurent, Monique; Vargas, Luis Felipe 1 2022 A subspace acceleration method for minimization involving a group sparsity-inducing regularizer. Zbl 1491.90157Curtis, Frank E.; Dai, Yutong; Robinson, Daniel P. 1 2022 Zeroth-order regularized optimization (ZORO): approximately sparse gradients and adaptive sampling. Zbl 1491.90184Cai, HanQin; McKenzie, Daniel; Yin, Wotao; Zhang, Zhenliang 1 2022 Distributionally robust second-order stochastic dominance constrained optimization with Wasserstein ball. Zbl 1493.90119Mei, Yu; Liu, Jia; Chen, Zhiping 1 2022 Sequential quadratic optimization for nonlinear optimization problems on Riemannian manifolds. Zbl 07534675Obara, Mitsuaki; Okuno, Takayuki; Takeda, Akiko 1 2022 Improved performance guarantees for orthogonal group synchronization via generalized power method. Zbl 1493.90145Ling, Shuyang 1 2022 An accelerated method for derivative-free smooth stochastic convex optimization. Zbl 1494.90058Gorbunov, Eduard; Dvurechensky, Pavel; Gasnikov, Alexander 1 2022 Distributionally robust two-stage stochastic programming. Zbl 1496.90043Duque, Daniel; Mehrotra, Sanjay; Morton, David P. 1 2022 Sketched Newton-Raphson. Zbl 1496.90112Yuan, Rui; Lazaric, Alessandro; Gower, Robert M. 1 2022 Golden ratio primal-dual algorithm with linesearch. Zbl 1496.90053Chang, Xiao-Kai; Yang, Junfeng; Zhang, Hongchao 1 2022 Bregman Finito/MISO for nonconvex regularized finite sum minimization without Lipschitz gradient continuity. Zbl 1501.90073Latafat, Puya; Themelis, Andreas; Ahookhosh, Masoud; Patrinos, Panagiotis 1 2022 Scaled, inexact, and adaptive generalized FISTA for strongly convex optimization. Zbl 07594349Rebegoldi, Simone; Calatroni, Luca 1 2022 Model-based derivative-free methods for convex-constrained optimization. Zbl 07605222Hough, Matthew; Roberts, Lindon 1 2022 Riemannian conjugate gradient methods: general framework and specific algorithms with convergence analyses. Zbl 07622378Sato, Hiroyuki 1 2022 Generalized penalty and regularization method for differential variational-hemivariational inequalities. Zbl 07341863Liu, Zhenhai; Motreanu, Dumitru; Zeng, Shengda 25 2021 TSSOS: a moment-SOS hierarchy that exploits term sparsity. Zbl 07305921Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard 14 2021 Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. Zbl 1457.90106Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard 13 2021 Well-posedness, optimal control, and sensitivity analysis for a class of differential variational-hemivariational inequalities. Zbl 1478.49022Zeng, Shengda; Migórski, Stanisław; Liu, Zhenhai 10 2021 A primal-dual algorithm with line search for general convex-concave saddle point problems. Zbl 07351606Hamedani, Erfan Yazdandoost; Aybat, Necdet Serhat 9 2021 Global convergence rate analysis of a generic line search algorithm with noise. Zbl 1470.90129Berahas, A. S.; Cao, L.; Scheinberg, K. 8 2021 Riemannian optimization on the symplectic Stiefel manifold. Zbl 07364040Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana 7 2021 Nonlinear forward-backward splitting with projection correction. Zbl 1477.90103Giselsson, Pontus 6 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 6 2021 On a semismooth* Newton method for solving generalized equations. Zbl 1462.90141Gfrerer, Helmut; Outrata, Jiří V. 5 2021 Mathematical foundations of distributionally robust multistage optimization. Zbl 1481.90242Pichler, Alois; Shapiro, Alexander 4 2021 Convergence and dynamical behavior of the ADAM algorithm for nonconvex stochastic optimization. Zbl 1465.90050Barakat, Anas; Bianchi, Pascal 4 2021 On high-order multilevel optimization strategies. Zbl 1458.90586Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier 4 2021 Stochastic approximation for optimization in shape spaces. Zbl 1458.49034Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin 4 2021 An interior-point approach for solving risk-averse PDE-constrained optimization problems with coherent risk measures. Zbl 1456.49005Garreis, Sebastian; Surowiec, Thomas M.; Ulbrich, Michael 4 2021 A unified approach to mixed-integer optimization problems with logical constraints. Zbl 1479.90138Bertsimas, Dimitris; Cory-Wright, Ryan; Pauphilet, Jean 4 2021 Analysis and algorithms for some compressed sensing models based on L1/L2 minimization. Zbl 1470.90098Zeng, Liaoyuan; Yu, Peiran; Pong, Ting Kei 4 2021 Attouch-Théra duality, generalized cycles, and gap vectors. Zbl 07384486Alwadani, Salihah; Bauschke, Heinz; Wang, Xianfu 4 2021 Generalized momentum-based methods: a Hamiltonian perspective. Zbl 1462.90087Diakonikolas, Jelena; Jordan, Michael I. 3 2021 Multilevel composite stochastic optimization via nested variance reduction. 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Zbl 1445.47041Malitsky, Yura; Tam, Matthew K. 34 2020 Douglas-Rachford splitting and ADMM for nonconvex optimization: tight convergence results. Zbl 1434.90158Themelis, Andreas; Patrinos, Panagiotis 18 2020 A stochastic line search method with expected complexity analysis. Zbl 1431.90153Paquette, Courtney; Scheinberg, Katya 18 2020 ...and 1690 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 22,300 Authors 173 Yao, Jen-Chih 124 Qi, Liqun 106 Martínez, José Mario 98 Kumam, Poom 96 Mordukhovich, Boris S. 93 Yang, Xiaoqi 90 Jeyakumar, Vaithilingam 87 Le Thi, Hoai An 85 Zhang, Liwei 84 Jian, Jinbao 81 Boţ, Radu Ioan 78 Li, Guoyin 76 Shehu, Yekini 75 Kanzow, Christian 74 Chen, Jein-Shan 71 López-Cerdá, Marco Antonio 71 Yuan, Xiaoming 70 Ceng, Lu-Chuan 70 Zhu, Detong 66 Huang, Zheng-Hai 64 Liu, Hongwei 64 Noor, Muhammad Aslam 64 Toh, Kim Chuan 63 Li, Shengjie 63 Pham Dinh Tao 62 Bauschke, Heinz H. 62 Cho, Yeol Je 61 Han, Deren 59 Sun, Defeng 58 Lasserre, Jean-Bernard 57 Xiu, Naihua 56 Huang, Nan-Jing 56 Pang, Jong-Shi 55 Dai, Yu-Hong 55 Kheirfam, Behrouz 55 Ma, Changfeng 54 Thai Doan Chuong 53 Birgin, Ernesto G. 52 Chen, Xiaojun 52 Pan, Shaohua 52 Solodov, Mikhail V. 51 Attouch, Hedy 51 Fukushima, Masao 51 Hintermüller, Michael 51 Pang, Liping 51 Yuan, Gonglin 51 Zhang, Shuzhong 50 Teo, Kok Lay 50 Wang, Shawn Xianfu 49 Lucidi, Stefano 49 Toint, Philippe L. 48 Ansari, Qamrul Hasan 47 Dempe, Stephan 47 Dương Việt Thông 47 Iusem, Alfredo Noel 47 Wei, Zengxin 47 Yuan, Ya-xiang 46 Mewomo, Oluwatosin Temitope 46 Terlaky, Tamás 45 Bai, Yanqin 45 Csetnek, Ernö Robert 45 Dang Van Hieu 45 Outrata, Jiří V. 45 Sun, Jie 45 Xia, Yong 44 Lee, Gue Myung 44 Xu, Huifu 43 Dong, Qiaoli 43 Goberna, Miguel Angel 43 Kunisch, Karl 43 Nie, Jiawang 42 Cholamjiak, Prasit 42 de Klerk, Etienne 42 Ferreira, Orizon Pereira 42 Nesterov, Yurii 42 Takahashi, Wataru 42 Ye, Yinyu 42 Zhou, Jinchuan 41 Andreani, Roberto 41 Babaie-Kafaki, Saman 41 Gondzio, Jacek 41 Li, Donghui 41 Monteiro, Renato D. 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