## 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: 2,447 Publications (since 1991) References Indexed: 836 Publications with 32,167 References.
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### Latest Issues

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### Authors

 30 Monteiro, Renato D. C. 30 Ng, Kung-Fu 26 Mordukhovich, Boris S. 26 Sun, Defeng 25 Tseng, Paul 24 Li, Chong 24 Toh, Kim Chuan 21 Nocedal, Jorge 20 Lasserre, Jean-Bernard 20 Toint, Philippe L. 20 Ye, Jane J. 20 Zheng, Xiyin 19 Chen, Xiaojun 19 Kanzow, Christian 19 Luo, Zhi-Quan 19 Qi, Liqun 18 Fukushima, Masao 18 Pang, Jong-Shi 17 Byrd, Richard H. 17 Dennis, John E. jun. 17 López-Cerdá, Marco Antonio 17 Lucidi, Stefano 17 Zhang, Shuzhong 16 Beck, Amir 16 Lewis, Adrian S. 16 Martínez, José Mario 16 Solodov, Mikhail V. 15 Curtis, Frank E. 15 Kojima, Masakazu 15 Li, Duan 15 Potra, Florian-Alexandru 15 Shapiro, Alexander 15 Wright, Stephen J. 14 Audet, Charles 14 Bauschke, Heinz H. 14 Gould, Nicholas Ian Mark 14 Nesterov, Yurii 14 Robinson, Daniel P. 14 Teboulle, Marc 14 Ye, Yinyu 13 Burke, James V. 13 de Klerk, Etienne 13 Hintermüller, Michael 13 Izmailov, Alekseĭ F. 13 Mehrotra, Sanjay 13 Roos, Cornelis 13 Svaiter, Benar Fux 13 Vicente, Luis Nunes 13 Wang, Shawn Xianfu 12 Ben-Tal, Aharon 12 Bertsekas, Dimitri Panteli 12 Jeyakumar, Vaithilingam 12 Lan, Guanghui 12 Li, Guoyin 12 Nie, Jiawang 12 Outrata, Jiří V. 12 Pong, Ting Kei 12 Sun, Jie 12 Xu, Huifu 11 Attouch, Hedy 11 Borwein, Jonathan Michael 11 Gfrerer, Helmut 11 Jongen, Hubertus Th. 11 Kiwiel, Krzysztof Czesław 11 Kunisch, Karl 11 Lu, Zhaosong 11 Nemirovski, Arkadi S. 11 Wächter, Andreas 11 Zhang, Yin 10 Anstreicher, Kurt M. 10 Dey, Santanu S. 10 Laurent, Monique 10 Leyffer, Sven 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 Anitescu, Mihai 9 Daniilidis, Aris 9 Dentcheva, Darinka 9 Fletcher, Roger 9 Freund, Robert M. 9 Gill, Philip E. 9 Gonzaga, Clovis C. 9 Kočvara, Michal 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 Zhao, Yunbin 8 Burer, Samuel 8 Correa, Rafael ...and 2,484 more Authors
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### Fields

 2,218 Operations research, mathematical programming (90-XX) 968 Numerical analysis (65-XX) 703 Calculus of variations and optimal control; optimization (49-XX) 175 Computer science (68-XX) 118 Operator theory (47-XX) 99 Convex and discrete geometry (52-XX) 86 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Linear and multilinear algebra; matrix theory (15-XX) 75 Statistics (62-XX) 53 Functional analysis (46-XX) 53 Systems theory; control (93-XX) 48 Algebraic geometry (14-XX) 44 Combinatorics (05-XX) 43 Real functions (26-XX) 43 Global analysis, analysis on manifolds (58-XX) 39 Partial differential equations (35-XX) 39 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) 23 Mechanics of deformable solids (74-XX) 18 Biology and other natural sciences (92-XX) 15 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 Measure and integration (28-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Mechanics of particles and systems (70-XX) 6 Nonassociative rings and algebras (17-XX) 6 Differential geometry (53-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)

### Citations contained in zbMATH Open

2,213 Publications have been cited 48,534 times in 21,742 Documents Cited by Year
Global optimization with polynomials and the problem of moments. Zbl 1010.90061
Lasserre, Jean B.
2001
Strong convergence of a proximal-type algorithm in a Banach space. Zbl 1101.90083
Kamimura, Shoji; Takahashi, Wataru
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
A nonlinear conjugate gradient method with a strong global convergence property. Zbl 0957.65061
Dai, Yuhong; Yuan, Yaxiang
1999
On the implementation of a primal-dual interior point method. Zbl 0773.90047
Mehrotra, Sanjay
1992
Convergence properties of the Nelder–Mead simplex method in low dimensions. Zbl 1005.90056
Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.; Wright, Paul E.
1998
Cones of matrices and set-functions and 0-1 optimization. Zbl 0754.90039
Lovász, László; Schrijver, A.
1991
The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem. Zbl 0898.90119
Raydan, Marcos
1997
Robust stochastic approximation approach to stochastic programming. Zbl 1189.90109
Nemirovski, A.; Juditsky, A.; Lan, G.; Shapiro, A.
2009
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
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
The Łojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems. Zbl 1129.26012
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian
2007
Efficiency of coordinate descent methods on huge-scale optimization problems. Zbl 1257.90073
Nesterov, Yu.
2012
Interior point methods in semidefinite programming with applications to combinatorial optimization. Zbl 0833.90087
1995
Primal-dual interior-point methods for self-scaled cones. Zbl 0922.90110
Nesterov, Yu. E.; Todd, M. J.
1998
Smoothing functions for second-order-cone complementarity problems. Zbl 0995.90094
Fukushima, Masao; Luo, Zhi-Quan; Tseng, Paul
2001
Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078
Audet, Charles; Dennis, J. E. jun.
2006
Convex approximations of chance constrained programs. Zbl 1126.90056
2006
A D. C. optimization algorithm for solving the trust-region subproblem. Zbl 0913.65054
Tao, Pham Dinh; Le Thi Hoai An
1998
On the convergence of pattern search algorithms. Zbl 0884.65053
Torczon, Virginia
1997
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
Fixed-point continuation for $$\ell _1$$-minimization: methodology and convergence. Zbl 1180.65076
Hale, Elaine T.; Yin, Wotao; Zhang, Yin
2008
Robust solutions to uncertain semidefinite programs. Zbl 0960.93007
El Ghaoui, Laurent; Oustry, Francois; Lebret, Hervé
1998
Nonsmooth equations: Motivation and algorithms. Zbl 0784.90082
Pang, Jong-Shi; Qi, Liqun
1993
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
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. Zbl 0872.90098
Kojima, Masakazu; Shindoh, Susumu; Hara, Shinji
1997
Dual stochastic dominance and related mean-risk models. Zbl 1022.91017
Ogryczak, Włodzimierz; Ruszczynski, Andrzej
2002
Convergence analysis of a proximal-like minimization algorithm using Bregman functions. Zbl 0808.90103
Chen, Gong; Teboulle, Marc
1993
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
1999
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
A spectral bundle method for semidefinite programming. Zbl 0960.65074
Helmberg, C.; Rendl, F.
2000
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
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
1996
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
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
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
2002
Rank-sparsity incoherence for matrix decomposition. Zbl 1226.90067
Chandrasekaran, Venkat; Sanghavi, Sujay; Parrilo, Pablo A.; Willsky, Alan S.
2011
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2012
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
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
2010
Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. Zbl 1010.90086
Scholtes, Stefan
2001
Optimization with stochastic dominance constraints. Zbl 1055.90055
Dentcheva, Darinka; Ruszczynski, Andrzej
2003
A combined smoothing and regularization method for monotone second-order cone complementarity problems. Zbl 1114.90139
Hayashi, Shunsuke; Yamashita, Nobuo; Fukushima, Masao
2005
Recovering low-rank and sparse components of matrices from incomplete and noisy observations. Zbl 1218.90115
Tao, Min; Yuan, Xiaoming
2011
Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces. Zbl 1168.47047
Kohsaka, Fumiaki; Takahashi, Wataru
2008
Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings. Zbl 1143.47047
2006
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
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. Zbl 1078.65048
Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
2005
Line search filter methods for nonlinear programming: motivation and global convergence. Zbl 1114.90128
Wächter, Andreas; Biegler, Lorenz T.
2005
Projected reflected gradient methods for monotone variational inequalities. Zbl 1314.47099
Malitsky, Yu.
2015
Approximation of the stability number of a graph via copositive programming. Zbl 1035.90058
de Klerk, E.; Pasechnik, D. V.
2002
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
Variable metric method for minimization. Zbl 0752.90062
Davidon, William C.
1991
On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem. Zbl 0803.90092
Zhang, Yin
1994
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
A class of globally convergent optimization methods based on conservative convex separable approximations. Zbl 1035.90088
Svanberg, Krister
2002
On the calmness of a class of multifunctions. Zbl 1028.49018
Henrion, René; Jourani, Abderrahim; Outrata, Jiri
2002
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
Analysis of generalized pattern searches. Zbl 1053.90118
Audet, Charles; Dennis, J. E. jun.
2003
Primal–dual path-following algorithms for semidefinite programming. Zbl 0913.65051
Monteiro, Renato D. C.
1997
On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming. Zbl 0913.65050
Zhang, Yin
1998
A new merit function for nonlinear complementarity problems and a related algorithm. Zbl 0873.90096
Facchinei, Francisco; Soares, João
1997
Optimal inequalities in probability theory: A convex optimization approach. Zbl 1077.60020
Bertsimas, Dimitris; Popescu, Ioana
2005
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 constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037
Qi, Liqun; Wei, Zengxin
2000
Newton’s method for large bound-constrained optimization problems. Zbl 0957.65064
Lin, Chih-Jen; Moré, Jorge J.
1999
A monotone+skew splitting model for composite monotone inclusions in duality. Zbl 1239.47053
Briceño-Arias, Luis M.; Combettes, Patrick L.
2011
Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems. Zbl 1356.49061
Hong, Mingyi; Luo, Zhi-Quan; Razaviyayn, Meisam
2016
On the accurate identification of active constraints. Zbl 0960.90080
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
1998
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
On the convergence of block coordinate descent type methods. Zbl 1297.90113
Beck, Amir; Tetruashvili, Luba
2013
Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048
1994
Low-rank matrix completion by Riemannian optimization. Zbl 1277.15021
Vandereycken, Bart
2013
Line search filter methods for nonlinear programming: local convergence. Zbl 1115.90056
Wächter, Andreas; Biegler, Lorenz T.
2005
Newton’s method for multiobjective optimization. Zbl 1195.90078
Fliege, J.; Drummond, L. M. Graña; Svaiter, B. F.
2009
Solving the trust-region subproblem using the Lanczos method. Zbl 1047.90510
Gould, Nicholas I. M.; Lucidi, Stefano; Roma, Massimo; Toint, Philippe L.
1999
On the global convergence of the BFGS method for nonconvex unconstrained optimization problems. Zbl 1010.90079
Li, Dong-Hui; Fukushima, Masao
2001
Global convergence of splitting methods for nonconvex composite optimization. Zbl 1330.90087
Li, Guoyin; Pong, Ting Kei
2015
Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. Zbl 1250.47064
Kassay, Gábor; Reich, Simeon; Sabach, Shoham
2011
Local convergence of SQP methods for mathematical programs with equilibrium constraints. Zbl 1112.90098
Fletcher, Roger; Leyffer, Sven; Ralph, Danny; Scholtes, Stefan
2006
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
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
1997
Semismooth Newton methods for operator equations in function spaces. Zbl 1033.49039
Ulbrich, Michael
2003
Interior gradient and proximal methods for convex and conic optimization. Zbl 1113.90118
Auslender, Alfred; Teboulle, Marc
2006
On the Nesterov-Todd direction in semidefinite programming. Zbl 0913.90217
Todd, M. J.; Toh, K. C.; Tütüncü, R. H.
1998
Robust truss topology design via semidefinite programming. Zbl 0899.90133
Ben-Tal, A.; Nemirovski, A.
1997
New results on quadratic minimization. Zbl 1043.90064
Ye, Yinyu; Zhang, Shuzhong
2003
Faster Lagrangian-based methods in convex optimization. Zbl 07489489
Sabach, Shoham; Teboulle, Marc
2022
Generalized penalty and regularization method for differential variational-hemivariational inequalities. Zbl 07341863
Zhenhai; Motreanu, Dumitru; Zeng, Shengda
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
A primal-dual algorithm with line search for general convex-concave saddle point problems. Zbl 07351606
Hamedani, Erfan Yazdandoost; Aybat, Necdet Serhat
2021
On a semismooth* Newton method for solving generalized equations. Zbl 1462.90141
Gfrerer, Helmut; Outrata, Jiří V.
2021
Convergence and dynamical behavior of the ADAM algorithm for nonconvex stochastic optimization. Zbl 1465.90050
Barakat, Anas; Bianchi, Pascal
2021
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
Global convergence rate analysis of a generic line search algorithm with noise. Zbl 1470.90129
Berahas, A. S.; Cao, L.; Scheinberg, K.
2021
Riemannian optimization on the symplectic Stiefel manifold. Zbl 07364040
Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana
2021
Stochastic approximation for optimization in shape spaces. Zbl 1458.49034
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin
2021
Genericity analysis of multi-leader-disjoint-followers game. Zbl 1476.91029
Aussel, Didier; Bouza, Gemayqzel; Dempe, Stephan; Lepaul, Sébastien
2021
Nonlinear forward-backward splitting with projection correction. Zbl 1477.90103
Giselsson, Pontus
2021
Well-posedness, optimal control, and sensitivity analysis for a class of differential variational-hemivariational inequalities. Zbl 1478.49022
Zeng, Shengda; Migórski, Stanisław; Liu, Zhenhai
2021
The generalized Bregman distance. Zbl 07304310
Burachik, Regina S.; Dao, Minh N.; Lindstrom, Scott B.
2021
An interior-point approach for solving risk-averse PDE-constrained optimization problems with coherent risk measures. Zbl 1456.49005
Garreis, Sebastian; Surowiec, Thomas M.; Ulbrich, Michael
2021
Variational analysis in normed spaces with applications to constrained optimization. Zbl 1459.49007
2021
Approximations of countably infinite linear programs over bounded measure spaces. Zbl 1461.90070
Kuntz, Juan; Thomas, Philipp; Stan, Guy-Bart; Barahona, Mauricio
2021
Generalized momentum-based methods: a Hamiltonian perspective. Zbl 1462.90087
Diakonikolas, Jelena; Jordan, Michael I.
2021
Analysis and algorithms for some compressed sensing models based on L1/L2 minimization. Zbl 1470.90098
Zeng, Liaoyuan; Yu, Peiran; Pong, Ting Kei
2021
Generalized Newton algorithms for tilt-stable minimizers in nonsmooth optimization. Zbl 1468.90132
Mordukhovich, Boris S.; Sarabi, M. Ebrahim
2021
On the intrinsic core of convex cones in real linear spaces. Zbl 1481.90253
Khazayel, Bahareh; Farajzadeh, Ali; Günther, Christian; Tammer, Christiane
2021
Exact semidefinite programming bounds for packing problems. Zbl 07351611
Dostert, Maria; de Laat, David; Moustrou, Philippe
2021
An average curvature accelerated composite gradient method for nonconvex smooth composite optimization problems. Zbl 1458.90525
Liang, Jiaming; Monteiro, Renato D. C.
2021
An exact algorithmic framework for a class of mixed-integer programs with equilibrium constraints. Zbl 1458.90482
Dan, Teodora; Lodi, Andrea; Marcotte, Patrice
2021
On high-order multilevel optimization strategies. Zbl 1458.90586
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier
2021
Optimization of quasi-convex function over product measure sets. Zbl 1469.46004
Stenger, Jérôme; Gamboa, Fabrice; Keller, Merlin
2021
Parallel stochastic asynchronous coordinate descent: tight bounds on the possible parallelism. Zbl 1458.90510
Cheung, Yun Kuen; Cole, Richard J.; Tao, Yixin
2021
A generalized simplex method for integer problems given by verification oracles. Zbl 1461.90074
Chubanov, Sergei
2021
Error bounds and singularity degree in semidefinite programming. Zbl 1462.90086
Sremac, Stefan; Woerdeman, Hugo J.; Wolkowicz, Henry
2021
The condition number of Riemannian approximation problems. Zbl 1462.90133
Breiding, Paul; Vannieuwenhoven, Nick
2021
Multilevel composite stochastic optimization via nested variance reduction. Zbl 07341862
Zhang, Junyu; Xiao, Lin
2021
Weakly convex optimization over Stiefel manifold using Riemannian subgradient-type methods. Zbl 07372957
Li, Xiao; Chen, Shixiang; Deng, Zengde; Qu, Qing; Zhu, Zhihui; Man-Cho So, Anthony
2021
Nonlinear conjugate gradient methods for PDE constrained shape optimization based on Steklov-Poincaré-type metrics. Zbl 1468.49046
Blauth, Sebastian
2021
Approximate 1-norm minimization and minimum-rank structured sparsity for various generalized inverses via local search. Zbl 1472.90102
Xu, Luze; Fampa, Marcia; Lee, Jon; Ponte, Gabriel
2021
A unified approach to mixed-integer optimization problems with logical constraints. Zbl 1479.90138
Bertsimas, Dimitris; Cory-Wright, Ryan; Pauphilet, Jean
2021
A Lagrange multiplier expression method for bilevel polynomial optimization. Zbl 07414054
Nie, Jiawang; Wang, Li; Ye, Jane J.; Zhong, Suhan
2021
Optimality conditions for convex stochastic optimization problems in Banach spaces with almost sure state constraints. Zbl 07414057
Geiersbach, Caroline; Wollner, Winnifried
2021
Efficient search of first-order Nash equilibria in nonconvex-concave smooth min-max problems. Zbl 1480.91016
Ostrovskii, Dmitrii M.; Lowy, Andrew; Razaviyayn, Meisam
2021
Mathematical foundations of distributionally robust multistage optimization. Zbl 1481.90242
Pichler, Alois; Shapiro, Alexander
2021
Equipping the Barzilai-Borwein method with the two dimensional quadratic termination property. Zbl 1481.90244
Huang, Ya-Kui; Dai, Yu-Hong; Liu, Xin-Wei
2021
A forward-backward splitting method for monotone inclusions without cocoercivity. Zbl 1445.47041
Malitsky, Yura; Tam, Matthew K.
2020
Douglas-Rachford splitting and ADMM for nonconvex optimization: tight convergence results. Zbl 1434.90158
Themelis, Andreas; Patrinos, Panagiotis
2020
A stochastic line search method with expected complexity analysis. Zbl 1431.90153
Paquette, Courtney; Scheinberg, Katya
2020
Risk-averse models in bilevel stochastic linear programming. Zbl 1431.90099
Burtscheidt, Johanna; Claus, Matthias; Dempe, Stephan
2020
Inexact cuts in stochastic dual dynamic programming. Zbl 1430.90444
Guigues, Vincent
2020
The boosted difference of convex functions algorithm for nonsmooth functions. Zbl 1461.65119
Aragón Artacho, Francisco J.; Vuong, Phan T.
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
Nonconvex robust low-rank matrix recovery. Zbl 07175265
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René
2020
Noisy matrix completion: understanding statistical guarantees for convex relaxation via nonconvex optimization. Zbl 1477.90060
Chen, Yuxin; Chi, Yuejie; Fan, Jianqing; Ma, Cong; Yan, Yuling
2020
Critical cones for sufficient second order conditions in PDE constrained optimization. Zbl 1431.35077
Casas, Eduardo; Mateos, Mariano
2020
A single timescale stochastic approximation method for nested stochastic optimization. Zbl 1441.90106
Ghadimi, Saeed; Ruszczyński, Andrzej; Wang, Mengdi
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
The convex hull of a quadratic constraint over a polytope. Zbl 1453.90115
Santana, Asteroide; Dey, Santanu S.
2020
Scalable algorithms for the sparse ridge regression. Zbl 1458.90489
Xie, Weijun; Deng, Xinwei
2020
Sharpness, restart, and acceleration. Zbl 1435.90109
Roulet, Vincent; d&rsquo;Aspremont, Alexandre
2020
Twice epi-differentiability of extended-real-valued functions with applications in composite optimization. Zbl 1448.49024
2020
Tensor methods for minimizing convex functions with Hölder continuous higher-order derivatives. Zbl 1451.90119
Grapiglia, G. N.; Nesterov, Yu.
2020
Contracting proximal methods for smooth convex optimization. Zbl 1454.90052
Doikov, Nikita; Nesterov, Yurii
2020
Newton-like inertial dynamics and proximal algorithms governed by maximally monotone operators. Zbl 1477.90058
Attouch, Hedy; László, Szilárd Csaba
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
A distributed flexible delay-tolerant proximal gradient algorithm. Zbl 1441.90120
Mishchenko, Konstantin; Iutzeler, Franck; Malick, Jérôme
2020
On the convergence of stochastic gradient descent for nonlinear ill-posed problems. Zbl 07202491
Jin, Bangti; Zhou, Zehui; Zou, Jun
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
A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization. Zbl 1464.90070
Zhang, Jiawei; Luo, Zhi-Quan
2020
Active set complexity of the away-step Frank-Wolfe algorithm. Zbl 1462.65063
Bomze, Immanuel M.; Rinaldi, Francesco; Zeffiro, Damiano
2020
Rank optimality for the Burer-Monteiro factorization. Zbl 1451.90114
Waldspurger, Irène; Waters, Alden
2020
Globally convergent type-I Anderson acceleration for nonsmooth fixed-point iterations. Zbl 07284421
Zhang, Junzi; O&rsquo;Donoghue, Brendan; Boyd, Stephen
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
Robust accelerated gradient methods for smooth strongly convex functions. Zbl 1461.62145
Aybat, Necdet Serhat; Fallah, Alireza; Gürbüzbalaban, Mert; Ozdaglar, Asuman
2020
On the convergence to stationary points of deterministic and randomized feasible descent directions methods. Zbl 1434.90148
2020
Data-driven nonsmooth optimization. Zbl 1435.90105
Banert, Sebastian; Ringh, Axel; Adler, Jonas; Karlsson, Johan; Öktem, Ozan
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
Convergence analysis of the relaxed Douglas-Rachford algorithm. Zbl 07173421
Luke, D. Russell; Martins, Anna-Lena
2020
Inertial, corrected, primal-dual proximal splitting. Zbl 07202490
Valkonen, Tuomo
2020
Revisiting EXTRA for smooth distributed optimization. Zbl 1447.90030
Li, Huan; Lin, Zhouchen
2020
Periodical multistage stochastic programs. Zbl 1448.90066
Shapiro, Alexander; Ding, Lingquan
2020
Solving chance-constrained problems via a smooth sample-based nonlinear approximation. Zbl 1448.90065
Peña-Ordieres, Alejandra; Luedtke, James R.; Wächter, Andreas
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
A new constraint qualification and sharp optimality conditions for nonsmooth mathematical programming problems in terms of quasidifferentials. Zbl 07258107
Dolgopolik, M. V.
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
Analysis of the BFGS method with errors. Zbl 1435.90149
Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge
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
Limitations on the expressive power of convex cones without long chains of faces. Zbl 1436.90108
Saunderson, James
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
Spectral properties of Barzilai-Borwein rules in solving singly linearly constrained optimization problems subject to lower and upper bounds. Zbl 1461.65139
Crisci, Serena; Porta, Federica; Ruggiero, Valeria; Zanni, Luca
2020
Daniilidis, Aris; Drusvyatskiy, Dmitriy
2020
Robust optimality and duality in multiobjective optimization problems under data uncertainty. Zbl 1483.90149
Chuong, Thai Doan
2020
Primal-dual stochastic gradient method for convex programs with many functional constraints. Zbl 1445.90070
Xu, Yangyang
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
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
Feasible corrector-predictor interior-point algorithm for $$P_* (\kappa)$$-linear complementarity problems based on a new search direction. Zbl 1451.90161
Darvay, Zsolt; Illés, Tibor; Povh, Janez; Rigó, Petra Renáta
2020
Stochastic three points method for unconstrained smooth minimization. Zbl 1451.90150
Bergou, El Houcine; Gorbunov, Eduard; Richtárik, Peter
2020
Distributionally robust stochastic dual dynamic programming. Zbl 1451.90109
Duque, Daniel; Morton, David P.
2020
Convergence of inexact forward-backward algorithms using the forward-backward envelope. Zbl 1452.65105
Bonettini, S.; Prato, M.; Rebegoldi, S.
2020
Solving multiobjective mixed integer convex optimization problems. Zbl 1453.90139
De Santis, Marianna; Eichfelder, Gabriele; Niebling, Julia; Rocktäschel, Stefan
2020
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### Cited by 20,538 Authors

 162 Yao, Jen-Chih 119 Qi, Liqun 100 Martínez, José Mario 93 Mordukhovich, Boris S. 92 Yang, Xiaoqi 89 Jeyakumar, Vaithilingam 85 Zhang, Liwei 84 Le Thi, Hoai An 82 Kumam, Poom 78 Boţ, Radu Ioan 72 Chen, Jein-Shan 72 Kanzow, Christian 71 López-Cerdá, Marco Antonio 70 Li, Guoyin 68 Zhu, Detong 67 Ceng, Lu-Chuan 67 Jian, Jinbao 67 Yuan, Xiaoming 64 Huang, Zheng-Hai 64 Liu, Hongwei 64 Shehu, Yekini 62 Pham Dinh Tao 59 Cho, Yeol Je 59 Noor, Muhammad Aslam 58 Bauschke, Heinz H. 58 Han, Deren 58 Toh, Kim Chuan 55 Xiu, Naihua 54 Kheirfam, Behrouz 54 Lasserre, Jean-Bernard 54 Ma, Changfeng 54 Sun, Defeng 52 Pang, Jong-Shi 52 Solodov, Mikhail V. 51 Fukushima, Masao 51 Huang, Nan-Jing 50 Birgin, Ernesto G. 50 Dai, Yu-Hong 50 Pan, Shaohua 49 Chen, Xiaojun 49 Pang, Liping 49 Teo, Kok Lay 49 Toint, Philippe L. 49 Zhang, Shuzhong 48 Chuong, Thai Doan 47 Attouch, Hedy 47 Dempe, Stephan 47 Iusem, Alfredo Noel 47 Wei, Zengxin 45 Ansari, Qamrul Hasan 45 Hintermüller, Michael 45 Lucidi, Stefano 45 Outrata, Jiří V. 45 Terlaky, Tamás 45 Wang, Shawn Xianfu 45 Yuan, Ya-xiang 44 Bai, Yanqin 44 Csetnek, Ernö Robert 43 Goberna, Miguel Angel 43 Yuan, Gonglin 42 Dang Van Hieu 42 Lee, Gue Myung 42 Takahashi, Wataru 41 Gondzio, Jacek 41 Kunisch, Karl 41 Li, Donghui 41 Sun, Jie 40 Dương Việt Thông 40 Ferreira, Orizon Pereira 40 Nie, Jiawang 40 Santos, Sandra Augusta 40 Xia, Yong 39 Cánovas, María Josefa 39 Hantoute, Abderrahim 39 Monteiro, Renato D. C. 39 Xu, Huifu 39 Ye, Yinyu 39 Zhou, Jinchuan 38 Cholamjiak, Prasit 38 de Klerk, Etienne 38 Liu, Sanyang 38 Parra, Juan 38 Yin, Gang George 37 Babaie-Kafaki, Saman 37 Mewomo, Oluwatosin Temitope 37 Wen, Chingfeng 37 Yang, Xinmin 36 Combettes, Patrick L. 36 Izmailov, Alekseĭ F. 36 Kruger, Alexander Ya. 36 Phan Quôc Khánh 36 Tunçel, Levent 35 Dong, Qiaoli 35 Wang, Guoqiang 35 Ye, Jane J. 34 Andreani, Roberto 34 Andrei, Neculai 34 Henrion, René 34 Li, Shengjie 34 Nesterov, Yurii ...and 20,438 more Authors
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### Cited in 779 Journals

 1,337 Journal of Optimization Theory and Applications 1,235 Mathematical Programming. Series A. Series B 894 Computational Optimization and Applications 814 Journal of Global Optimization 739 SIAM Journal on Optimization 711 Optimization 639 European Journal of Operational Research 536 Optimization Methods & Software 494 Optimization Letters 472 Applied Mathematics and Computation 463 Journal of Computational and Applied Mathematics 289 Numerical Algorithms 283 Operations Research Letters 257 Annals of Operations Research 253 Automatica 240 Journal of Mathematical Analysis and Applications 225 Set-Valued and Variational Analysis 222 Numerical Functional Analysis and Optimization 219 Journal of Inequalities and Applications 217 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 212 Linear Algebra and its Applications 206 Computers & Operations Research 180 Optimization and Engineering 178 SIAM Journal on Scientific Computing 173 Computer Methods in Applied Mechanics and Engineering 164 Fixed Point Theory and Applications 162 Computers & Mathematics with Applications 157 Journal of Industrial and Management Optimization 151 Abstract and Applied Analysis 147 Journal of Scientific Computing 145 Mathematical Problems in Engineering 137 Journal of Computational Physics 131 Computational and Applied Mathematics 119 Applied Numerical Mathematics 118 Mathematical Methods of Operations Research 115 Discrete Applied Mathematics 110 Journal of Applied Mathematics and Computing 110 SIAM Journal on Imaging Sciences 110 Mathematical Programming Computation 109 International Journal of Computer Mathematics 107 SIAM Journal on Control and Optimization 106 Mathematics of Operations Research 104 Journal of Machine Learning Research (JMLR) 97 Applied Mathematical Modelling 94 Journal of the Operations Research Society of China 89 Asia-Pacific Journal of Operational Research 88 Journal of Applied Mathematics 87 Operations Research 86 Inverse Problems 86 INFORMS Journal on Computing 86 Structural and Multidisciplinary Optimization 85 Applied Mathematics and Optimization 83 SIAM Journal on Matrix Analysis and Applications 82 Information Sciences 82 Top 81 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 75 Vietnam Journal of Mathematics 71 Numerische Mathematik 70 Systems & Control Letters 70 Positivity 69 Journal of Mathematical Imaging and Vision 69 Discrete Optimization 68 Mathematics of Computation 64 Computational Management Science 63 Journal of Convex Analysis 61 Journal of Fixed Point Theory and Applications 59 Applicable Analysis 59 Theoretical Computer Science 58 Acta Mathematicae Applicatae Sinica. English Series 57 Foundations of Computational Mathematics 56 The Annals of Statistics 56 Applied Mathematics Letters 56 Computational Statistics and Data Analysis 54 Numerical Algebra, Control and Optimization 53 International Journal for Numerical Methods in Engineering 53 Applied and Computational Harmonic Analysis 53 RAIRO. Operations Research 52 International Journal of Control 51 Neural Computation 50 4OR 50 Science China. Mathematics 48 Machine Learning 46 Calcolo 45 Journal of the Franklin Institute 45 SIAM Journal on Numerical Analysis 45 Mathematical and Computer Modelling 45 Advances in Computational Mathematics 43 Journal of Combinatorial Optimization 43 Journal of Systems Science and Complexity 43 Statistics and Computing 41 Numerical Linear Algebra with Applications 40 Set-Valued Analysis 39 Mathematics and Computers in Simulation 39 EURO Journal on Computational Optimization 39 SIAM Journal on Mathematics of Data Science 37 Applications of Mathematics 37 Automation and Remote Control 36 Inverse Problems in Science and Engineering 35 Kybernetika 35 Journal of Symbolic Computation ...and 679 more Journals
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### Cited in 63 Fields

 14,585 Operations research, mathematical programming (90-XX) 6,360 Numerical analysis (65-XX) 4,452 Calculus of variations and optimal control; optimization (49-XX) 1,838 Operator theory (47-XX) 1,544 Computer science (68-XX) 1,118 Statistics (62-XX) 1,064 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 992 Systems theory; control (93-XX) 827 Linear and multilinear algebra; matrix theory (15-XX) 720 Partial differential equations (35-XX) 608 Mechanics of deformable solids (74-XX) 605 Information and communication theory, circuits (94-XX) 463 Probability theory and stochastic processes (60-XX) 429 Convex and discrete geometry (52-XX) 390 Biology and other natural sciences (92-XX) 364 Combinatorics (05-XX) 318 Functional analysis (46-XX) 299 Fluid mechanics (76-XX) 282 Ordinary differential equations (34-XX) 279 Real functions (26-XX) 236 Algebraic geometry (14-XX) 231 Global analysis, analysis on manifolds (58-XX) 147 Approximations and expansions (41-XX) 146 General topology (54-XX) 141 Dynamical systems and ergodic theory (37-XX) 101 Quantum theory (81-XX) 99 Mechanics of particles and systems (70-XX) 94 Commutative algebra (13-XX) 87 Geophysics (86-XX) 85 Differential geometry (53-XX) 72 Optics, electromagnetic theory (78-XX) 71 Statistical mechanics, structure of matter (82-XX) 70 Classical thermodynamics, heat transfer (80-XX) 54 Number theory (11-XX) 54 Integral transforms, operational calculus (44-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 52 Field theory and polynomials (12-XX) 48 Nonassociative rings and algebras (17-XX) 43 Measure and integration (28-XX) 31 General and overarching topics; collections (00-XX) 31 Integral equations (45-XX) 31 Geometry (51-XX) 30 Mathematical logic and foundations (03-XX) 29 Several complex variables and analytic spaces (32-XX) 25 Manifolds and cell complexes (57-XX) 24 Functions of a complex variable (30-XX) 22 History and biography (01-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 17 Group theory and generalizations (20-XX) 16 Difference and functional equations (39-XX) 9 Associative rings and algebras (16-XX) 9 Special functions (33-XX) 9 Mathematics education (97-XX) 8 General algebraic systems (08-XX) 8 Topological groups, Lie groups (22-XX) 8 Potential theory (31-XX) 7 Algebraic topology (55-XX) 5 Abstract harmonic analysis (43-XX) 5 Astronomy and astrophysics (85-XX) 4 Relativity and gravitational theory (83-XX) 1 (04-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX)