# zbMATH — the first resource for mathematics

## 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: 2,386 Publications (since 1991) References Indexed: 775 Publications with 29,588 References.
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#### Latest Issues

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#### 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
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#### Fields

 2,165 Operations research, mathematical programming (90-XX) 948 Numerical analysis (65-XX) 686 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) 81 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) 44 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) 8 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)

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2,130 Publications have been cited 44,284 times in 19,883 Documents Cited by Year
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Lasserre, Jean B.
2001
Strong convergence of a proximal-type algorithm in a Banach space. Zbl 1101.90083
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2003
A singular value thresholding algorithm for matrix completion. Zbl 1201.90155
Cai, Jian-Feng; Candès, Emmanuel J.; Shen, Zuowei
2010
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
2003
A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085
Hager, William W.; Zhang, Hongchao
2005
Global convergence properties of conjugate gradient methods for optimization. Zbl 0767.90082
Gilbert, Jean Charles; Nocedal, Jorge
1992
On the implementation of a primal-dual interior point method. Zbl 0773.90047
Mehrotra, Sanjay
1992
A nonlinear conjugate gradient method with a strong global convergence property. Zbl 0957.65061
Dai, Yuhong; Yuan, Yaxiang
1999
Cones of matrices and set-functions and 0-1 optimization. Zbl 0754.90039
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1991
Convergence properties of the Nelder–Mead simplex method in low dimensions. Zbl 1005.90056
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1998
The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem. Zbl 0898.90119
Raydan, Marcos
1997
Nonmonotone spectral projected gradient methods on convex sets. Zbl 1047.90077
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
2000
The sample average approximation method for stochastic discrete optimization. Zbl 0991.90090
Kleywegt, Anton J.; Shapiro, Alexander; Homem-de-Mello, Tito
2001
Robust stochastic approximation approach to stochastic programming. Zbl 1189.90109
Nemirovski, A.; Juditsky, A.; Lan, G.; Shapiro, A.
2009
A nonmonotone line search technique and its application to unconstrained optimization. Zbl 1073.90024
Zhang, Hongchao; Hager, William W.
2004
An interior trust region approach for nonlinear minimization subject to bounds. Zbl 0855.65063
Coleman, Thomas F.; Li, Yuying
1996
Primal-dual interior-point methods for self-scaled cones. Zbl 0922.90110
Nesterov, Yu. E.; Todd, M. J.
1998
The Łojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems. Zbl 1129.26012
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian
2007
Smoothing functions for second-order-cone complementarity problems. Zbl 0995.90094
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2001
Interior point methods in semidefinite programming with applications to combinatorial optimization. Zbl 0833.90087
1995
Efficiency of coordinate descent methods on huge-scale optimization problems. Zbl 1257.90073
Nesterov, Yu.
2012
Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078
Audet, Charles; Dennis, J. E. jun.
2006
A D. C. optimization algorithm for solving the trust-region subproblem. Zbl 0913.65054
Tao, Pham Dinh; Le Thi Hoai An
1998
SNOPT: An SQP algorithm for large-scale constrained optimization. Zbl 1027.90111
Gill, Philip E.; Murray, Walter; Saunders, Michael A.
2002
Globally convergent inexact Newton methods. Zbl 0814.65049
Eisenstat, Stanley C.; Walker, Homer F.
1994
A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis, numerical results. Zbl 0761.90090
Schramm, Helga; Zowe, Jochem
1992
On the convergence of pattern search algorithms. Zbl 0884.65053
Torczon, Virginia
1997
Fixed-point continuation for $$\ell _1$$-minimization: methodology and convergence. Zbl 1180.65076
Hale, Elaine T.; Yin, Wotao; Zhang, Yin
2008
Convex approximations of chance constrained programs. Zbl 1126.90056
2006
Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082
Pang, Jong-Shi; Qi, Liqun
1993
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. Zbl 0872.90098
Kojima, Masakazu; Shindoh, Susumu; Hara, Shinji
1997
Robust solutions to uncertain semidefinite programs. Zbl 0960.93007
El Ghaoui, Laurent; Oustry, Francois; Lebret, Hervé
1998
An interior-point method for semidefinite programming. Zbl 0853.65066
Helmberg, Christoph; Rendl, Franz; Vanderbei, Robert J.; Wolkowicz, Henry
1996
Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287
Das, Indraneel; Dennis, J. E.
1998
Dual stochastic dominance and related mean-risk models. Zbl 1022.91017
Ogryczak, Włodzimierz; Ruszczynski, Andrzej
2002
A spectral bundle method for semidefinite programming. Zbl 0960.65074
Helmberg, C.; Rendl, F.
2000
Convergence analysis of a proximal-like minimization algorithm using Bregman functions. Zbl 0808.90103
Chen, Gong; Teboulle, Marc
1993
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
1996
On augmented Lagrangian methods with general lower-level constraints. Zbl 1151.49027
Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L.
2007
Benchmarking derivative-free optimization algorithms. Zbl 1187.90319
Moré, Jorge J.; Wild, Stefan M.
2009
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
1999
Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Zbl 0911.65047
Alizadeh, Farid; Haeberly, Jean-Pierre A.; Overton, Michael L.
1998
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
2002
A comparative study of kernel functions for primal-dual interior-point algorithms in linear optimization. Zbl 1077.90038
Bai, Y. Q.; El Ghami, M.; Roos, C.
2004
Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. Zbl 1010.90086
Scholtes, Stefan
2001
A sample approximation approach for optimization with probabilistic constraints. Zbl 1177.90301
Luedtke, James; Ahmed, Shabbir
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 1106.90059
2004
A combined smoothing and regularization method for monotone second-order cone complementarity problems. Zbl 1114.90139
Hayashi, Shunsuke; Yamashita, Nobuo; Fukushima, Masao
2005
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2012
Rank-sparsity incoherence for matrix decomposition. Zbl 1226.90067
Chandrasekaran, Venkat; Sanghavi, Sujay; Parrilo, Pablo A.; Willsky, Alan S.
2011
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
2010
Optimization with stochastic dominance constraints. Zbl 1055.90055
Dentcheva, Darinka; Ruszczynski, Andrzej
2003
Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities. Zbl 0855.47043
Zhu, D. L.; Marcotte, P.
1996
Clarke subgradients of stratifiable functions. Zbl 1142.49006
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro
2007
Line search filter methods for nonlinear programming: motivation and global convergence. Zbl 1114.90128
Wächter, Andreas; Biegler, Lorenz T.
2005
Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces. Zbl 1168.47047
Kohsaka, Fumiaki; Takahashi, Wataru
2008
Global convergence of a trust-region SQP-filter algorithm for general nonlinear programming. Zbl 1038.90076
Fletcher, Roger; Gould, Nicholas I. M.; Leyffer, Sven; Toint, Philippe L.; Wächter, Andreas
2002
Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings. Zbl 1143.47047
2006
Approximation of the stability number of a graph via copositive programming. Zbl 1035.90058
de Klerk, E.; Pasechnik, D. V.
2002
On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem. Zbl 0803.90092
Zhang, Yin
1994
Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115
Tao, Min; Yuan, Xiaoming
2011
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2005
Variable metric method for minimization. Zbl 0752.90062
Davidon, William C.
1991
A class of globally convergent optimization methods based on conservative convex separable approximations. Zbl 1035.90088
Svanberg, Krister
2002
A nonlinear conjugate gradient algorithm with an optimal property and an improved Wolfe line search. Zbl 1266.49065
Dai, Yu-Hong; Kou, Cai-Xia
2013
Incremental subgradient methods for nondifferentiable optimization. Zbl 0991.90099
Nedic, Angelia; Bertsekas, Dimitri P.
2001
On the calmness of a class of multifunctions. Zbl 1028.49018
Henrion, René; Jourani, Abderrahim; Outrata, Jiri
2002
Primal–dual path-following algorithms for semidefinite programming. Zbl 0913.65051
Monteiro, Renato D. C.
1997
A new merit function for nonlinear complementarity problems and a related algorithm. Zbl 0873.90096
Facchinei, Francisco; Soares, João
1997
Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space. Zbl 1079.90096
Alvarez, Felipe
2004
Analysis of generalized pattern searches. Zbl 1053.90118
Audet, Charles; Dennis, J. E. jun.
2003
On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming. Zbl 0913.65050
Zhang, Yin
1998
Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. Zbl 1109.65058
Waki, Hayato; Kim, Sunyoung; Kojima, Masakazu; Muramatsu, Masakazu
2006
Projected reflected gradient methods for monotone variational inequalities. Zbl 1314.47099
Malitsky, Yu.
2015
On the accurate identification of active constraints. Zbl 0960.90080
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
1998
On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037
Qi, Liqun; Wei, Zengxin
2000
A monotone+skew splitting model for composite monotone inclusions in duality. Zbl 1239.47053
Briceño-Arias, Luis M.; Combettes, Patrick L.
2011
Optimal inequalities in probability theory: A convex optimization approach. Zbl 1077.60020
Bertsimas, Dimitris; Popescu, Ioana
2005
On implementing Mehrotra’s predictor-corrector interior-point method for linear programming. Zbl 0771.90066
Lustig, Irvin J.; Marsten, Roy E.; Shanno, David F.
1992
Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048
1994
Newton’s method for large bound-constrained optimization problems. Zbl 0957.65064
Lin, Chih-Jen; Moré, Jorge J.
1999
Line search filter methods for nonlinear programming: local convergence. Zbl 1115.90056
Wächter, Andreas; Biegler, Lorenz T.
2005
Convergence of proximal-like algorithms. Zbl 0890.90151
Teboulle, Marc
1997
A new active set algorithm for box constrained optimization. Zbl 1165.90570
Hager, William W.; Zhang, Hongchao
2006
Solving the trust-region subproblem using the Lanczos method. Zbl 1047.90510
Gould, Nicholas I. M.; Lucidi, Stefano; Roma, Massimo; Toint, Philippe L.
1999
A full-Newton step $$O(n)$$ infeasible interior-point algorithm for linear optimization. Zbl 1131.90029
Roos, C.
2006
Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098
Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan
2006
On the Nesterov-Todd direction in semidefinite programming. Zbl 0913.90217
Todd, M. J.; Toh, K. C.; Tütüncü, R. H.
1998
A pattern search filter method for nonlinear programming without derivatives. Zbl 1073.90066
Audet, Charles; Dennis, J. E. jun.
2004
Interior gradient and proximal methods for convex and conic optimization. Zbl 1113.90118
Auslender, Alfred; Teboulle, Marc
2006
Semismooth Newton methods for operator equations in function spaces. Zbl 1033.49039
Ulbrich, Michael
2003
New results on quadratic minimization. Zbl 1043.90064
Ye, Yinyu; Zhang, Shuzhong
2003
Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. Zbl 1250.47064
Kassay, Gábor; Reich, Simeon; Sabach, Shoham
2011
On the global convergence of the BFGS method for nonconvex unconstrained optimization problems. Zbl 1010.90079
Li, Dong-Hui; Fukushima, Masao
2001
Robust truss topology design via semidefinite programming. Zbl 0899.90133
Ben-Tal, A.; Nemirovski, A.
1997
Low-rank matrix completion by Riemannian optimization. Zbl 1277.15021
Vandereycken, Bart
2013
The rate of convergence of Nesterov’s accelerated forward-backward method is actually faster than $$1/k^2$$. Zbl 1346.49048
Attouch, Hedy; Peypouquet, Juan
2016
On the solution of large quadratic programming problems with bound constraints. Zbl 0752.90053
Moré, Jorge J.; Toraldo, Gerardo
1991
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
1997
On the convergence of block coordinate descent type methods. Zbl 1297.90113
Beck, Amir; Tetruashvili, Luba
2013
A Bregman forward-backward linesearch algorithm for nonconvex composite optimization: superlinear convergence to nonisolated local minima. Zbl 1461.90105
Ahookhosh, Masoud; Themelis, Andreas; Patrinos, Panagiotis
2021
Generalized penalty and regularization method for differential variational-hemivariational inequalities. Zbl 07341863
Zhenhai; Motreanu, Dumitru; Zeng, Shengda
2021
Convergence and dynamical behavior of the ADAM algorithm for nonconvex stochastic optimization. Zbl 1465.90050
Barakat, Anas; Bianchi, Pascal
2021
TSSOS: a moment-SOS hierarchy that exploits term sparsity. Zbl 07305921
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard
2021
Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension. Zbl 1457.90106
Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard
2021
Generalized momentum-based methods: a Hamiltonian perspective. Zbl 1462.90087
Diakonikolas, Jelena; Jordan, Michael I.
2021
An average curvature accelerated composite gradient method for nonconvex smooth composite optimization problems. Zbl 1458.90525
Liang, Jiaming; Monteiro, Renato D. C.
2021
On high-order multilevel optimization strategies. Zbl 1458.90586
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier
2021
Stochastic approximation for optimization in shape spaces. Zbl 1458.49034
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin
2021
Optimization of quasi-convex function over product measure sets. Zbl 07304311
Stenger, Jérôme; Gamboa, Fabrice; Keller, Merlin
2021
On a semismooth* Newton method for solving generalized equations. Zbl 1462.90141
Gfrerer, Helmut; Outrata, Jiří V.
2021
Variational analysis in normed spaces with applications to constrained optimization. Zbl 1459.49007
2021
Exact semidefinite programming bounds for packing problems. Zbl 07351611
Dostert, Maria; de Laat, David; Moustrou, Philippe
2021
Analysis and algorithms for some compressed sensing models based on L1/L2 minimization. Zbl 07364041
Zeng, Liaoyuan; Yu, Peiran; Pong, Ting Kei
2021
A forward-backward splitting method for monotone inclusions without cocoercivity. Zbl 1445.47041
Malitsky, Yura; Tam, Matthew K.
2020
Inexact cuts in stochastic dual dynamic programming. Zbl 1430.90444
Guigues, Vincent
2020
A stochastic line search method with expected complexity analysis. Zbl 1431.90153
Paquette, Courtney; Scheinberg, Katya
2020
Critical cones for sufficient second order conditions in PDE constrained optimization. Zbl 1431.35077
Casas, Eduardo; Mateos, Mariano
2020
Douglas-Rachford splitting and ADMM for nonconvex optimization: tight convergence results. Zbl 1434.90158
Themelis, Andreas; Patrinos, Panagiotis
2020
Tensor methods for minimizing convex functions with Hölder continuous higher-order derivatives. Zbl 1451.90119
Grapiglia, G. N.; Nesterov, Yu.
2020
Nonconvex robust low-rank matrix recovery. Zbl 07175265
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René
2020
The boosted difference of convex functions algorithm for nonsmooth functions. Zbl 1461.65119
Aragón Artacho, Francisco J.; Vuong, Phan T.
2020
Scalable algorithms for the sparse ridge regression. Zbl 1458.90489
Xie, Weijun; Deng, Xinwei
2020
On the convergence to stationary points of deterministic and randomized feasible descent directions methods. Zbl 1434.90148
2020
Operator splitting performance estimation: tight contraction factors and optimal parameter selection. Zbl 07248639
Ryu, Ernest K.; Taylor, Adrien B.; Bergeling, Carolina; Giselsson, Pontus
2020
A distributed flexible delay-tolerant proximal gradient algorithm. Zbl 1441.90120
Mishchenko, Konstantin; Iutzeler, Franck; Malick, Jérôme
2020
A single timescale stochastic approximation method for nested stochastic optimization. Zbl 1441.90106
Ghadimi, Saeed; Ruszczyński, Andrzej; Wang, Mengdi
2020
Noisy matrix completion: understanding statistical guarantees for convex relaxation via nonconvex optimization. Zbl 07271856
Chen, Yuxin; Chi, Yuejie; Fan, Jianqing; Ma, Cong; Yan, Yuling
2020
Contracting proximal methods for smooth convex optimization. Zbl 1454.90052
Doikov, Nikita; Nesterov, Yurii
2020
Risk-averse models in bilevel stochastic linear programming. Zbl 1431.90099
Burtscheidt, Johanna; Claus, Matthias; Dempe, Stephan
2020
Data-driven nonsmooth optimization. Zbl 1435.90105
Banert, Sebastian; Ringh, Axel; Adler, Jonas; Karlsson, Johan; Öktem, Ozan
2020
A note on the nonemptiness and compactness of solution sets of weakly homogeneous variational inequalities. Zbl 1435.90135
Ma, Xiao-Xiao; Zheng, Meng-Meng; Huang, Zheng-Hai
2020
Proximal gradient method for nonsmooth optimization over the Stiefel manifold. Zbl 1434.90195
Chen, Shixiang; Ma, Shiqian; Man-Cho So, Anthony; Zhang, Tong
2020
Worst-case convergence analysis of inexact gradient and Newton methods through semidefinite programming performance estimation. Zbl 1448.90070
De Klerk, Etienne; Glineur, François; Taylor, Adrien B.
2020
Periodical multistage stochastic programs. Zbl 1448.90066
Shapiro, Alexander; Ding, Lingquan
2020
Twice epi-differentiability of extended-real-valued functions with applications in composite optimization. Zbl 1448.49024
2020
A new constraint qualification and sharp optimality conditions for nonsmooth mathematical programming problems in terms of quasidifferentials. Zbl 07258107
Dolgopolik, M. V.
2020
Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints. Zbl 1437.90128
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
2020
Limitations on the expressive power of convex cones without long chains of faces. Zbl 1436.90108
Saunderson, James
2020
Robust accelerated gradient methods for smooth strongly convex functions. Zbl 1461.62145
Aybat, Necdet Serhat; Fallah, Alireza; Gürbüzbalaban, Mert; Ozdaglar, Asuman
2020
Convergence rate of $$\mathcal{O}(1/k)$$ for optimistic gradient and extragradient methods in smooth convex-concave saddle point problems. Zbl 1454.90057
Mokhtari, Aryan; Ozdaglar, Asuman E.; Pattathil, Sarath
2020
Existence of Lagrange multipliers under Gâteaux differentiable data with applications to stochastic optimal control problems. Zbl 07166153
Jourani, Abderrahim; Silva, Francisco J.
2020
A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031
Zhang, Chao; Chen, Xiaojun
2020
On the complexity of an inexact restoration method for constrained optimization. Zbl 1453.90162
Bueno, Luís Felipe; Martínez, José Mario
2020
Sharpness, restart, and acceleration. Zbl 1435.90109
Roulet, Vincent; d&rsquo;Aspremont, Alexandre
2020
Gradient-based solution algorithms for a class of bilevel optimization and optimal control problems with a nonsmooth lower level. Zbl 1432.49007
Christof, Constantin
2020
Revisiting EXTRA for smooth distributed optimization. Zbl 1447.90030
Li, Huan; Lin, Zhouchen
2020
Convergence rates of damped inertial dynamics under geometric conditions and perturbations. Zbl 1453.34076
Sebbouh, O.; Dossal, Ch.; Rondepierre, A.
2020
Efficient techniques for shape optimization with variational inequalities using adjoints. Zbl 1444.49014
Luft, Daniel; Schulz, Volker H.; Welker, Kathrin
2020
Finite convergence of proximal-gradient inertial algorithms combining dry friction with Hessian-driven damping. Zbl 1452.65103
2020
A nonsmooth trust-region method for locally Lipschitz functions with application to optimization problems constrained by variational inequalities. Zbl 1446.49006
Christof, Constantin; De los Reyes, Juan Carlos; Meyer, Christian
2020
A proximal point dual Newton algorithm for solving group graphical Lasso problems. Zbl 1448.90096
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan
2020
Solving chance-constrained problems via a smooth sample-based nonlinear approximation. Zbl 1448.90065
Peña-Ordieres, Alejandra; Luedtke, James R.; Wächter, Andreas
2020
A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization. Zbl 1464.90070
Zhang, Jiawei; Luo, Zhi-Quan
2020
On the computation of Kantorovich-Wasserstein distances between two-dimensional histograms by uncapacitated minimum cost flows. Zbl 1450.90008
Bassetti, Federico; Gualandi, Stefano; Veneroni, Marco
2020
On the behavior of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint. Zbl 1451.90117
Bauschke, Heinz H.; Moursi, Walaa M.
2020
Rank optimality for the Burer-Monteiro factorization. Zbl 1451.90114
Waldspurger, Irène; Waters, Alden
2020
Topology of Pareto sets of strongly convex problems. Zbl 1454.90054
Hamada, Naoki; Hayano, Kenta; Ichiki, Shunsuke; Kabata, Yutaro; Teramoto, Hiroshi
2020
Generalized conditional gradient with augmented Lagrangian for composite minimization. Zbl 1450.65054
Silveti-Falls, Antonio; Molinari, Cesare; Fadili, Jalal
2020
Stochastic three points method for unconstrained smooth minimization. Zbl 1451.90150
Bergou, El Houcine; Gorbunov, Eduard; Richtárik, Peter
2020
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
2020
Asymptotic results of stochastic decomposition for two-stage stochastic quadratic programming. Zbl 1461.90083
Liu, Junyi; Sen, Suvrajeet
2020
A data-independent distance to infeasibility for linear conic systems. Zbl 1437.90120
Peña, Javier; Roshchina, Vera
2020
On stochastic and deterministic quasi-Newton methods for nonstrongly convex optimization: asymptotic convergence and rate analysis. Zbl 1461.65189
Yousefian, Farzad; Nedić, Angelia; Shanbhag, Uday V.
2020
Exact converging bounds for stochastic dual dynamic programming via Fenchel duality. Zbl 1444.90086
Leclère, Vincent; Carpentier, Pierre; Chancelier, Jean-Philippe; Lenoir, Arnaud; Pacaud, François
2020
A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 07202484
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
2020
Daniilidis, Aris; Drusvyatskiy, Dmitriy
2020
Inertial, corrected, primal-dual proximal splitting. Zbl 07202490
Valkonen, Tuomo
2020
On the convergence of stochastic gradient descent for nonlinear ill-posed problems. Zbl 07202491
Jin, Bangti; Zhou, Zehui; Zou, Jun
2020
Robust optimality and duality in multiobjective optimization problems under data uncertainty. Zbl 07213880
Chuong, Thai Doan
2020
Primal-dual stochastic gradient method for convex programs with many functional constraints. Zbl 1445.90070
Xu, Yangyang
2020
Multicomposite nonconvex optimization for training deep neural networks. Zbl 1445.90086
Cui, Ying; He, Ziyu; Pang, Jong-Shi
2020
New constraint qualifications for optimization problems in Banach spaces based on asymptotic KKT conditions. Zbl 1453.90182
Börgens, Eike; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd
2020
The convex hull of a quadratic constraint over a polytope. Zbl 1453.90115
Santana, Asteroide; Dey, Santanu S.
2020
Convergence of inexact forward-backward algorithms using the forward-backward envelope. Zbl 1452.65105
Bonettini, S.; Prato, M.; Rebegoldi, S.
2020
Globally convergent type-I Anderson acceleration for nonsmooth fixed-point iterations. Zbl 07284421
Zhang, Junzi; O&rsquo;Donoghue, Brendan; Boyd, Stephen
2020
Newton-like inertial dynamics and proximal algorithms governed by maximally monotone operators. Zbl 07284424
Attouch, Hedy; László, Szilárd Csaba
2020
Stochastic model-based minimization of weakly convex functions. Zbl 1415.65136
Davis, Damek; Drusvyatskiy, Dmitriy
2019
Gradient descent finds the cubic-regularized nonconvex Newton step. Zbl 1461.65135
Carmon, Yair; Duchi, John
2019
Optimality conditions and constraint qualifications for generalized Nash equilibrium problems and their practical implications. Zbl 1422.91049
Bueno, Luís Felipe; Haeser, Gabriel; Rojas, Frank Navarro
2019
New sequential optimality conditions for mathematical programs with complementarity constraints and algorithmic consequences. Zbl 1427.90258
Andreani, R.; Haeser, G.; Secchin, Leonardo D.; Silva, P. J. S.
2019
On representer theorems and convex regularization. Zbl 1423.49036
Boyer, Claire; Chambolle, Antonin; De Castro, Yohann; Duval, Vincent; De Gournay, Frédéric; Weiss, Pierre
2019
Universal regularization methods: varying the power, the smoothness and the accuracy. Zbl 1436.90136
Cartis, Coralia; Gould, Nick I.; Toint, Philippe L.
2019
A sequential optimality condition related to the quasi-normality constraint qualification and its algorithmic consequences. Zbl 1451.90166
Andreani, Roberto; Fazzio, Nadia S.; Schuverdt, Maria L.; Secchin, Leonardo D.
2019
Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134
Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin
2019
Accelerated regularized Newton methods for minimizing composite convex functions. Zbl 1406.49030
Grapiglia, Geovani N.; Nesterov, Yurii
2019
The mesh adaptive direct search algorithm for granular and discrete variables. Zbl 1411.90229
Audet, Charles; Le Digabel, Sébastien; Tribes, Christophe
2019
Randomized projection methods for convex feasibility: conditioning and convergence rates. Zbl 1430.90463
Necoara, Ion; Richtárik, Peter; Patrascu, Andrei
2019
Adaptive regularization algorithms with inexact evaluations for nonconvex optimization. Zbl 1427.90228
Bellavia, Stefania; Gurioli, Gianmarco; Morini, Benedetta; Toint, Philippe L.
2019
A proximal minimization algorithm for structured nonconvex and nonsmooth problems. Zbl 1431.65088
Boţ, Radu Ioan; Csetnek, Ernö Robert; Nguyen, Dang-Khoa
2019
Fast proximal methods via time scaling of damped inertial dynamics. Zbl 07105235
Attouch, Hedy; Chbani, Zaki; Riahi, Hassan
2019
Variance-based extragradient methods with line search for stochastic variational inequalities. Zbl 1415.65145
Iusem, Alfredo N.; Jofré, Alejandro; Oliveira, Roberto I.; Thompson, Philip
2019
Second-order variational analysis of parametric constraint and variational systems. Zbl 1408.49015
Gfrerer, Helmut; Mordukhovich, Boris S.
2019
Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359
Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge
2019
Adaptive Douglas-Rachford splitting algorithm for the sum of two operators. Zbl 1440.47054
Dao, Minh N.; Phan, Hung M.
2019
Optimal convergence rates for Nesterov acceleration. Zbl 1453.90117
Aujol, Jean-Francois; Dossal, Charles; Rondepierre, Aude
2019
Convergence rates for projective splitting. Zbl 07098595
Johnstone, Patrick R.; Eckstein, Jonathan
2019
Unifying abstract inexact convergence theorems and block coordinate variable metric iPiano. Zbl 1411.32009
Ochs, Peter
2019
A branch-and-bound-based algorithm for nonconvex multiobjective optimization. Zbl 1414.90288
Niebling, Julia; Eichfelder, Gabriele
2019
Gradient method for optimization on Riemannian manifolds with lower bounded curvature. Zbl 1429.90051
Ferreira, O. P.; Louzeiro, Mauricio Silva; Prudente, L. F.
2019
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#### Cited by 18,630 Authors

 152 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. 55 Shehu, Yekini 54 Ma, Changfeng 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 45 Iusem, Alfredo Noel 44 Dempe, Stephan 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. C. 36 Tunçel, Levent 36 Xu, Huifu 35 Babaie-Kafaki, Saman 35 Cánovas, María Josefa 35 Hantoute, Abderrahim 35 Li, Donghui 35 Phan Quôc Khánh 35 Toh, Kimchuan 35 Wang, Guoqiang 34 Combettes, Patrick L. 34 Dương Việt Thông 34 Izmailov, Alekseĭ F. 34 Li, Shengjie 34 Parra, Juan 34 Roos, Cornelis 34 Sun, Wenyu 34 Yang, Xinmin 33 Wen, Chingfeng 33 Wu, Zhiyou 32 Andrei, Neculai 32 Kojima, Masakazu 32 Kruger, Alexander Ya. 32 Lewis, Adrian S. 32 Lin, Guihua 32 Salahi, Maziar ...and 18,530 more Authors
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#### Cited in 737 Journals

 1,276 Journal of Optimization Theory and Applications 1,158 Mathematical Programming. Series A. Series B 851 Computational Optimization and Applications 771 Journal of Global Optimization 683 SIAM Journal on Optimization 671 Optimization 592 European Journal of Operational Research 536 Optimization Methods & Software 460 Optimization Letters 454 Applied Mathematics and Computation 442 Journal of Computational and Applied Mathematics 262 Numerical Algorithms 257 Operations Research Letters 237 Annals of Operations Research 234 Journal of Mathematical Analysis and Applications 217 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 210 Automatica 208 Numerical Functional Analysis and Optimization 206 Linear Algebra and its Applications 206 Set-Valued and Variational Analysis 178 Computers & Operations Research 164 SIAM Journal on Scientific Computing 164 Fixed Point Theory and Applications 160 Computers & Mathematics with Applications 159 Computer Methods in Applied Mechanics and Engineering 152 Abstract and Applied Analysis 146 Mathematical Problems in Engineering 143 Journal of Inequalities and Applications 140 Optimization and Engineering 130 Journal of Scientific Computing 125 Journal of Computational Physics 124 Journal of Industrial and Management Optimization 114 Applied Numerical Mathematics 114 Mathematical Methods of Operations Research 108 Discrete Applied Mathematics 106 Computational and Applied Mathematics 98 SIAM Journal on Control and Optimization 98 Journal of Applied Mathematics and Computing 94 Mathematical Programming Computation 93 Mathematics of Operations Research 89 Applied Mathematical Modelling 88 Journal of Applied Mathematics 88 SIAM Journal on Imaging Sciences 87 Journal of Machine Learning Research (JMLR) 86 INFORMS Journal on Computing 86 Structural and Multidisciplinary Optimization 86 Journal of the Operations Research Society of China 82 Asia-Pacific Journal of Operational Research 82 Top 81 International Journal of Computer Mathematics 79 Operations Research 79 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 78 SIAM Journal on Matrix Analysis and Applications 77 Inverse Problems 75 Information Sciences 71 Numerische Mathematik 71 Vietnam Journal of Mathematics 66 Discrete Optimization 65 Mathematics of Computation 65 Applied Mathematics and Optimization 65 Systems & Control Letters 64 Journal of Mathematical Imaging and Vision 62 Positivity 62 Computational Management Science 59 Journal of Fixed Point Theory and Applications 55 Theoretical Computer Science 54 Acta Mathematicae Applicatae Sinica. English Series 53 Applicable Analysis 53 International Journal for Numerical Methods in Engineering 53 Computational Statistics and Data Analysis 53 RAIRO. Operations Research 52 Applied Mathematics Letters 50 Foundations of Computational Mathematics 50 Science China. Mathematics 49 Neural Computation 48 The Annals of Statistics 48 Applied and Computational Harmonic Analysis 48 4OR 45 Mathematical and Computer Modelling 44 SIAM Journal on Numerical Analysis 44 Numerical Algebra, Control and Optimization 42 International Journal of Control 41 Journal of the Franklin Institute 41 Calcolo 41 Numerical Linear Algebra with Applications 41 Advances in Computational Mathematics 40 Set-Valued Analysis 40 Journal of Combinatorial Optimization 39 EURO Journal on Computational Optimization 38 Machine Learning 38 Journal of Systems Science and Complexity 37 Automation and Remote Control 35 Kybernetika 35 Journal of Nonlinear and Variational Analysis 34 Journal of Convex Analysis 34 Inverse Problems in Science and Engineering 33 Journal of Symbolic Computation 33 Acta Mathematica Sinica. English Series 32 Mathematics and Computers in Simulation 32 Journal of Nonlinear Science and Applications ...and 637 more Journals
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#### Cited in 62 Fields

 13,446 Operations research, mathematical programming (90-XX) 5,819 Numerical analysis (65-XX) 4,079 Calculus of variations and optimal control; optimization (49-XX) 1,642 Operator theory (47-XX) 1,351 Computer science (68-XX) 973 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 951 Statistics (62-XX) 891 Systems theory; control (93-XX) 742 Linear and multilinear algebra; matrix theory (15-XX) 637 Partial differential equations (35-XX) 553 Mechanics of deformable solids (74-XX) 548 Information and communication theory, circuits (94-XX) 420 Probability theory and stochastic processes (60-XX) 393 Convex and discrete geometry (52-XX) 354 Biology and other natural sciences (92-XX) 327 Combinatorics (05-XX) 292 Functional analysis (46-XX) 264 Fluid mechanics (76-XX) 253 Ordinary differential equations (34-XX) 243 Real functions (26-XX) 219 Algebraic geometry (14-XX) 213 Global analysis, analysis on manifolds (58-XX) 136 Approximations and expansions (41-XX) 126 General topology (54-XX) 118 Dynamical systems and ergodic theory (37-XX) 91 Mechanics of particles and systems (70-XX) 90 Quantum theory (81-XX) 87 Commutative algebra (13-XX) 81 Geophysics (86-XX) 72 Differential geometry (53-XX) 66 Classical thermodynamics, heat transfer (80-XX) 62 Optics, electromagnetic theory (78-XX) 55 Statistical mechanics, structure of matter (82-XX) 52 Integral transforms, operational calculus (44-XX) 49 Number theory (11-XX) 47 Field theory and polynomials (12-XX) 47 Nonassociative rings and algebras (17-XX) 43 Harmonic analysis on Euclidean spaces (42-XX) 32 Measure and integration (28-XX) 29 Mathematical logic and foundations (03-XX) 29 Integral equations (45-XX) 27 Several complex variables and analytic spaces (32-XX) 26 Geometry (51-XX) 25 Manifolds and cell complexes (57-XX) 21 General and overarching topics; collections (00-XX) 20 History and biography (01-XX) 19 Functions of a complex variable (30-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 15 Difference and functional equations (39-XX) 13 Group theory and generalizations (20-XX) 8 Topological groups, Lie groups (22-XX) 8 Mathematics education (97-XX) 7 General algebraic systems (08-XX) 7 Associative rings and algebras (16-XX) 7 Potential theory (31-XX) 7 Special functions (33-XX) 5 Abstract harmonic analysis (43-XX) 5 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX)