## 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: 2,502 Publications (since 1991) References Indexed: 891 Publications with 34,725 References.
all top 5

### Latest Issues

 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) 8, No. 2 (1998) ...and 27 more Volumes
all top 5

### Authors

 30 Monteiro, Renato D. C. 30 Ng, Kung-Fu 26 Mordukhovich, Boris S. 26 Sun, Defeng 26 Toh, Kim Chuan 25 Tseng, Paul 24 Li, Chong 21 Lasserre, Jean-Bernard 21 Nocedal, Jorge 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 Lewis, Adrian S. 17 López-Cerdá, Marco Antonio 17 Lucidi, Stefano 17 Zhang, Shuzhong 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 Potra, Florian-Alexandru 15 Shapiro, Alexander 15 Wright, Stephen J. 14 Gould, Nicholas Ian Mark 14 Lan, Guanghui 14 Mehrotra, Sanjay 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 Roos, Cornelis 13 Svaiter, Benar Fux 13 Vicente, Luis Nunes 13 Wang, Shawn Xianfu 13 Xu, Huifu 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 S. 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 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 8 Burer, Samuel ...and 2,553 more Authors
all top 5

### Fields

 2,269 Operations research, mathematical programming (90-XX) 990 Numerical analysis (65-XX) 709 Calculus of variations and optimal control; optimization (49-XX) 184 Computer science (68-XX) 120 Operator theory (47-XX) 102 Convex and discrete geometry (52-XX) 88 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 78 Statistics (62-XX) 77 Linear and multilinear algebra; matrix theory (15-XX) 56 Functional analysis (46-XX) 53 Systems theory; control (93-XX) 49 Algebraic geometry (14-XX) 47 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)

### Citations contained in zbMATH Open

2,265 Publications have been cited 50,823 times in 22,678 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
A new conjugate gradient method with guaranteed descent and an efficient line search. Zbl 1093.90085
Hager, William W.; Zhang, Hongchao
2005
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
2003
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
Robust stochastic approximation approach to stochastic programming. Zbl 1189.90109
Nemirovski, A.; Juditsky, A.; Lan, G.; Shapiro, A.
2009
The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem. Zbl 0898.90119
Raydan, Marcos
1997
The sample average approximation method for stochastic discrete optimization. Zbl 0991.90090
Kleywegt, Anton J.; Shapiro, Alexander; Homem-de-Mello, Tito
2001
Nonmonotone spectral projected gradient methods on convex sets. Zbl 1047.90077
Birgin, Ernesto G.; Martínez, José Mario; Raydan, Marcos
2000
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
Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078
Audet, Charles; Dennis, J. E. jun.
2006
Smoothing functions for second-order-cone complementarity problems. Zbl 0995.90094
Fukushima, Masao; Luo, Zhi-Quan; Tseng, Paul
2001
Primal-dual interior-point methods for self-scaled cones. Zbl 0922.90110
Nesterov, Yu. E.; Todd, M. J.
1998
Convex approximations of chance constrained programs. Zbl 1126.90056
Nemirovski, Arkadi; Shapiro, Alexander
2006
A D. C. optimization algorithm for solving the trust-region subproblem. Zbl 0913.65054
Tao, Pham Dinh; Le Thi Hoai An
1998
Globally convergent inexact Newton methods. Zbl 0814.65049
Eisenstat, Stanley C.; Walker, Homer F.
1994
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
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
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
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. Zbl 0872.90098
Kojima, Masakazu; Shindoh, Susumu; Hara, Shinji
1997
Convergence analysis of a proximal-like minimization algorithm using Bregman functions. Zbl 0808.90103
Chen, Gong; Teboulle, Marc
1993
Benchmarking derivative-free optimization algorithms. Zbl 1187.90319
Moré, Jorge J.; Wild, Stefan M.
2009
A sample approximation approach for optimization with probabilistic constraints. Zbl 1177.90301
Luedtke, James; Ahmed, Shabbir
2008
Dual stochastic dominance and related mean-risk models. Zbl 1022.91017
Ogryczak, Włodzimierz; Ruszczynski, Andrzej
2002
An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057
Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge
1999
Projected reflected gradient methods for monotone variational inequalities. Zbl 1314.47099
Malitsky, Yu.
2015
On augmented Lagrangian methods with general lower-level constraints. Zbl 1151.49027
Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L.
2007
A spectral bundle method for semidefinite programming. Zbl 0960.65074
Helmberg, C.; Rendl, F.
2000
Clarke subgradients of stratifiable functions. Zbl 1142.49006
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro
2007
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
1996
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
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
Rank-sparsity incoherence for matrix decomposition. Zbl 1226.90067
Chandrasekaran, Venkat; Sanghavi, Sujay; Parrilo, Pablo A.; Willsky, Alan S.
2011
On the global convergence of a filter-SQP algorithm. Zbl 1029.65063
Fletcher, Roger; Leyffer, Sven; Toint, Philippe L.
2002
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
2010
Alternating direction method with Gaussian back substitution for separable convex programming. Zbl 1273.90152
He, Bingsheng; Tao, Min; Yuan, Xiaoming
2012
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
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
Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. Zbl 1010.90086
Scholtes, Stefan
2001
Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces. Zbl 1168.47047
Kohsaka, Fumiaki; Takahashi, Wataru
2008
A combined smoothing and regularization method for monotone second-order cone complementarity problems. Zbl 1114.90139
Hayashi, Shunsuke; Yamashita, Nobuo; Fukushima, Masao
2005
Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings. Zbl 1143.47047
Nadezhkina, Natalia; Takahashi, Wataru
2006
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
Approximation of the stability number of a graph via copositive programming. Zbl 1035.90058
de Klerk, E.; Pasechnik, D. V.
2002
Line search filter methods for nonlinear programming: motivation and global convergence. Zbl 1114.90128
Wächter, Andreas; Biegler, Lorenz T.
2005
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
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
A class of globally convergent optimization methods based on conservative convex separable approximations. Zbl 1035.90088
Svanberg, Krister
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
Incremental subgradient methods for nondifferentiable optimization. Zbl 0991.90099
Nedic, Angelia; Bertsekas, Dimitri P.
2001
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
On the calmness of a class of multifunctions. Zbl 1028.49018
Henrion, René; Jourani, Abderrahim; Outrata, Jiri
2002
Analysis of generalized pattern searches. Zbl 1053.90118
Audet, Charles; Dennis, J. E. jun.
2003
A new merit function for nonlinear complementarity problems and a related algorithm. Zbl 0873.90096
Facchinei, Francisco; Soares, João
1997
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
Optimal inequalities in probability theory: A convex optimization approach. Zbl 1077.60020
Bertsimas, Dimitris; Popescu, Ioana
2005
On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming. Zbl 0913.65050
Zhang, Yin
1998
Primal–dual path-following algorithms for semidefinite programming. Zbl 0913.65051
Monteiro, Renato D. C.
1997
On the constant positive linear dependence condition and its application to SQP methods. Zbl 0999.90037
Qi, Liqun; Wei, Zengxin
2000
Low-rank matrix completion by Riemannian optimization. Zbl 1277.15021
Vandereycken, Bart
2013
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 convergence of block coordinate descent type methods. Zbl 1297.90113
Beck, Amir; Tetruashvili, Luba
2013
A monotone+skew splitting model for composite monotone inclusions in duality. Zbl 1239.47053
Briceño-Arias, Luis M.; Combettes, Patrick L.
2011
On the global convergence of the BFGS method for nonconvex unconstrained optimization problems. Zbl 1010.90079
Li, Dong-Hui; Fukushima, Masao
2001
Newton’s method for large bound-constrained optimization problems. Zbl 0957.65064
Lin, Chih-Jen; Moré, Jorge J.
1999
Iterative methods for solving systems of variational inequalities in reflexive Banach spaces. Zbl 1250.47064
Kassay, Gábor; Reich, Simeon; Sabach, Shoham
2011
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
Newton’s method for multiobjective optimization. Zbl 1195.90078
Fliege, J.; Drummond, L. M. Graña; Svaiter, B. F.
2009
On the accurate identification of active constraints. Zbl 0960.90080
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
1998
Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048
Brown, Peter N.; Saad, Youcef
1994
Convergence rates in forward–backward splitting. Zbl 0876.49009
Chen, George H-G.; Rockafellar, R. T.
1997
Global convergence of splitting methods for nonconvex composite optimization. Zbl 1330.90087
Li, Guoyin; Pong, Ting Kei
2015
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 new active set algorithm for box constrained optimization. Zbl 1165.90570
Hager, William W.; Zhang, Hongchao
2006
Interior gradient and proximal methods for convex and conic optimization. Zbl 1113.90118
Auslender, Alfred; Teboulle, Marc
2006
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 unified convergence analysis of block successive minimization methods for nonsmooth optimization. Zbl 1273.90123
Razaviyayn, Meisam; Hong, Mingyi; Luo, Zhi-Quan
2013
Semismooth Newton methods for operator equations in function spaces. Zbl 1033.49039
Ulbrich, Michael
2003
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
Convergence of the iterates of descent methods for analytic cost functions. Zbl 1092.90036
Absil, P.-A.; Mahony, R.; Andrews, B.
2005
Faster Lagrangian-based methods in convex optimization. Zbl 1486.90149
Sabach, Shoham; Teboulle, Marc
2022
Affinely adjustable robust linear complementarity problems. Zbl 1486.90135
Biefel, Christian; Liers, Frauke; Rolfes, Jan; Schmidt, Martin
2022
The ratio-cut polytope and K-means clustering. Zbl 1486.90120
De Rosa, Antonio; Khajavirad, Aida
2022
Hyperbolic relaxation of $$k$$-locally positive semidefinite matrices. Zbl 07516284
Blekherman, Grigoriy; Dey, Santanu S.; Shu, Kevin; Sun, Shengding
2022
Finite convergence of sum-of-squares hierarchies for the stability number of a graph. Zbl 1487.05259
Laurent, Monique; Vargas, Luis Felipe
2022
Zeroth-order regularized optimization (ZORO): approximately sparse gradients and adaptive sampling. Zbl 1491.90184
Cai, HanQin; McKenzie, Daniel; Yin, Wotao; Zhang, Zhenliang
2022
Fast decentralized nonconvex finite-sum optimization with recursive variance reduction. Zbl 1484.90090
Xin, Ran; Khan, Usman A.; Kar, Soummya
2022
A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117
Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge
2022
Distributionally robust second-order stochastic dominance constrained optimization with Wasserstein ball. Zbl 07534670
Mei, Yu; Liu, Jia; Chen, Zhiping
2022
Improved performance guarantees for orthogonal group synchronization via generalized power method. Zbl 07535634
Ling, Shuyang
2022
An accelerated method for derivative-free smooth stochastic convex optimization. Zbl 07543642
Gorbunov, Eduard; Dvurechensky, Pavel; Gasnikov, Alexander
2022
On the convergence of stochastic primal-dual hybrid gradient. Zbl 07543645
Alacaoglu, Ahmet; Fercoq, Olivier; Cevher, Volkan
2022
Distributionally robust two-stage stochastic programming. Zbl 07565250
Duque, Daniel; Mehrotra, Sanjay; Morton, David P.
2022
Sketched Newton-Raphson. Zbl 07565252
Yuan, Rui; Lazaric, Alessandro; Gower, Robert M.
2022
Generalized penalty and regularization method for differential variational-hemivariational inequalities. Zbl 07341863
Zhenhai; Motreanu, Dumitru; Zeng, Shengda
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
TSSOS: a moment-SOS hierarchy that exploits term sparsity. Zbl 07305921
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
Global convergence rate analysis of a generic line search algorithm with noise. Zbl 1470.90129
Berahas, A. S.; Cao, L.; Scheinberg, K.
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
Riemannian optimization on the symplectic Stiefel manifold. Zbl 07364040
Gao, Bin; Son, Nguyen Thanh; Absil, P.-A.; Stykel, Tatjana
2021
Nonlinear forward-backward splitting with projection correction. Zbl 1477.90103
Giselsson, Pontus
2021
On a semismooth* Newton method for solving generalized equations. Zbl 1462.90141
Gfrerer, Helmut; Outrata, Jiří V.
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
Convergence and dynamical behavior of the ADAM algorithm for nonconvex stochastic optimization. Zbl 1465.90050
Barakat, Anas; Bianchi, Pascal
2021
Stochastic approximation for optimization in shape spaces. Zbl 1458.49034
Geiersbach, Caroline; Loayza-Romero, Estefania; Welker, Kathrin
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
Generalized momentum-based methods: a Hamiltonian perspective. Zbl 1462.90087
Diakonikolas, Jelena; Jordan, Michael I.
2021
On the intrinsic core of convex cones in real linear spaces. Zbl 1481.90253
Khazayel, Bahareh; Farajzadeh, Ali; Günther, Christian; Tammer, Christiane
2021
Mathematical foundations of distributionally robust multistage optimization. Zbl 1481.90242
Pichler, Alois; Shapiro, Alexander
2021
Genericity analysis of multi-leader-disjoint-followers game. Zbl 1476.91029
Aussel, Didier; Bouza, Gemayqzel; Dempe, Stephan; Lepaul, Sébastien
2021
A unified approach to mixed-integer optimization problems with logical constraints. Zbl 1479.90138
Bertsimas, Dimitris; Cory-Wright, Ryan; Pauphilet, Jean
2021
Approximations of countably infinite linear programs over bounded measure spaces. Zbl 1461.90070
Kuntz, Juan; Thomas, Philipp; Stan, Guy-Bart; Barahona, Mauricio
2021
Error bounds and singularity degree in semidefinite programming. Zbl 1462.90086
Sremac, Stefan; Woerdeman, Hugo J.; Wolkowicz, Henry
2021
Generalized Newton algorithms for tilt-stable minimizers in nonsmooth optimization. Zbl 1468.90132
Mordukhovich, Boris S.; Sarabi, M. Ebrahim
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 1470.90098
Zeng, Liaoyuan; Yu, Peiran; Pong, Ting Kei
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
The generalized Bregman distance. Zbl 07304310
Burachik, Regina S.; Dao, Minh N.; Lindstrom, Scott B.
2021
Variational analysis in normed spaces with applications to constrained optimization. Zbl 1459.49007
Mohammadi, Ashkan; Mordukhovich, Boris S.
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
Necessary and sufficient optimality conditions in DC semi-infinite programming. Zbl 07330002
Correa, Rafael; López, M. A.; Pérez-Aros, Pedro
2021
The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. Zbl 1462.90083
Jia, Zhongxiao; Wang, Fa
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
Horizon maps and graphical convergence revisited. Zbl 07351607
López, Rubén; Sama, Miguel
2021
Reformulation of the M-stationarity conditions as a system of discontinuous equations and its solution by a semismooth Newton method. Zbl 1467.49024
Harder, Felix; Mehlitz, Patrick; Wachsmuth, Gerd
2021
Attouch-Théra duality, generalized cycles, and gap vectors. Zbl 07384486
Alwadani, Salihah; Bauschke, Heinz; Wang, Xianfu
2021
The structure of conservative gradient fields. Zbl 1471.49013
Lewis, Adrian S.; Tian, Tonghua
2021
Stochastic dynamic linear programming: a sequential sampling algorithm for multistage stochastic linear programming. Zbl 1477.90047
Gangammanavar, Harsha; Sen, Suvrajeet
2021
Optimizing hypergraph-based polynomials modeling job-occupancy in queuing with redundancy scheduling. Zbl 1477.90056
Brosch, D.; Laurent, M.; Steenkamp, A.
2021
An SQP method for equality constrained optimization on Hilbert manifolds. Zbl 1477.90122
Schiela, Anton; Ortiz, Julian
2021
Conditional gradient methods for convex optimization with general affine and nonlinear constraints. Zbl 1479.90157
Lan, Guanghui; Romeijn, Edwin; Zhou, Zhiqiang
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 1484.90055
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
An optimal algorithm for decentralized finite-sum optimization. Zbl 07421063
Hendrikx, Hadrien; Bach, Francis; Massoulié, Laurent
2021
Distance-sparsity transference for vertices of corner polyhedra. Zbl 1458.90475
Aliev, Iskander; Celaya, Marcel; Henk, Martin; Williams, Aled
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
Distributionally robust partially observable Markov decision process with moment-based ambiguity. Zbl 1458.90633
Nakao, Hideaki; Jiang, Ruiwei; Shen, Siqian
2021
Spectral relaxations and branching strategies for global optimization of mixed-integer quadratic programs. Zbl 1458.90486
Nohra, Carlos J.; Raghunathan, Arvind U.; Sahinidis, Nikolaos
2021
Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. Zbl 1461.90107
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J.
2021
Quadratic growth and strong metric subregularity of the subdifferential via subgradient graphical derivative. Zbl 1459.49009
Chieu, Nguyen Huy; Hien, Le Van; Nghia, Tran T. A.; Tuan, Ha Anh
2021
A generalized simplex method for integer problems given by verification oracles. Zbl 1461.90074
Chubanov, Sergei
2021
Greedy quasi-Newton methods with explicit superlinear convergence. Zbl 1461.90167
Rodomanov, Anton; Nesterov, Yurii
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
Efficient algorithms for distributionally robust stochastic optimization with discrete scenario support. Zbl 1472.90080
Zhang, Zhe; Ahmed, Shabbir; Lan, Guanghui
2021
Characterizing convexity of images for quadratic-linear mappings with applications in nonconvex quadratic optimization. Zbl 07372963
Flores-Bazán, Fabián; Opazo, Felipe
2021
Unified acceleration of high-order algorithms under general Hölder continuity. Zbl 1483.65100
Song, Chaobing; Jiang, Yong; Ma, Yi
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
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
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
The boosted difference of convex functions algorithm for nonsmooth functions. Zbl 1461.65119
Aragón Artacho, Francisco J.; Vuong, Phan T.
2020
Newton-like inertial dynamics and proximal algorithms governed by maximally monotone operators. Zbl 1477.90058
Attouch, Hedy; László, Szilárd Csaba
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
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
Nonconvex robust low-rank matrix recovery. Zbl 07175265
Li, Xiao; Zhu, Zhihui; Man-Cho So, Anthony; Vidal, René
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
Operator splitting performance estimation: tight contraction factors and optimal parameter selection. Zbl 07248639
Ryu, Ernest K.; Taylor, Adrien B.; Bergeling, Carolina; Giselsson, Pontus
2020
Critical cones for sufficient second order conditions in PDE constrained optimization. Zbl 1431.35077
Casas, Eduardo; Mateos, Mariano
2020
The convex hull of a quadratic constraint over a polytope. Zbl 1453.90115
Santana, Asteroide; Dey, Santanu S.
2020
A single timescale stochastic approximation method for nested stochastic optimization. Zbl 1441.90106
Ghadimi, Saeed; Ruszczyński, Andrzej; Wang, Mengdi
2020
Scalable algorithms for the sparse ridge regression. Zbl 1458.90489
Xie, Weijun; Deng, Xinwei
2020
Robust accelerated gradient methods for smooth strongly convex functions. Zbl 1461.62145
Aybat, Necdet Serhat; Fallah, Alireza; Gürbüzbalaban, Mert; Ozdaglar, Asuman
2020
Primal-dual stochastic gradient method for convex programs with many functional constraints. Zbl 1445.90070
Xu, Yangyang
2020
Globally convergent type-I Anderson acceleration for nonsmooth fixed-point iterations. Zbl 07284421
Zhang, Junzi; O&rsquo;Donoghue, Brendan; Boyd, Stephen
2020
Sharpness, restart, and acceleration. Zbl 1435.90109
Roulet, Vincent; d&rsquo;Aspremont, Alexandre
2020
Finite convergence of proximal-gradient inertial algorithms combining dry friction with Hessian-driven damping. Zbl 1452.65103
Adly, Samir; Attouch, Hedy
2020
Solving chance-constrained problems via a smooth sample-based nonlinear approximation. Zbl 1448.90065
Peña-Ordieres, Alejandra; Luedtke, James R.; Wächter, Andreas
2020
Twice epi-differentiability of extended-real-valued functions with applications in composite optimization. Zbl 1448.49024
Mohammadi, Ashkan; Sarabi, M. Ebrahim
2020
Distributionally robust stochastic dual dynamic programming. Zbl 1451.90109
Duque, Daniel; Morton, David P.
2020
Solving multiobjective mixed integer convex optimization problems. Zbl 1453.90139
De Santis, Marianna; Eichfelder, Gabriele; Niebling, Julia; Rocktäschel, Stefan
2020
...and 1688 more Documents
all top 5

### Cited by 21,393 Authors

 165 Yao, Jen-Chih 123 Qi, Liqun 101 Martínez, José Mario 95 Mordukhovich, Boris S. 93 Yang, Xiaoqi 92 Kumam, Poom 89 Jeyakumar, Vaithilingam 85 Le Thi, Hoai An 85 Zhang, Liwei 80 Boţ, Radu Ioan 73 Chen, Jein-Shan 73 Jian, Jinbao 73 Kanzow, Christian 73 Li, Guoyin 71 López-Cerdá, Marco Antonio 71 Shehu, Yekini 70 Yuan, Xiaoming 69 Ceng, Lu-Chuan 69 Zhu, Detong 64 Huang, Zheng-Hai 64 Liu, Hongwei 62 Pham Dinh Tao 62 Toh, Kim Chuan 61 Cho, Yeol Je 61 Noor, Muhammad Aslam 60 Bauschke, Heinz H. 60 Han, Deren 57 Lasserre, Jean-Bernard 56 Sun, Defeng 55 Kheirfam, Behrouz 55 Ma, Changfeng 55 Pang, Jong-Shi 55 Xiu, Naihua 53 Dai, Yu-Hong 53 Huang, Nan-Jing 52 Pan, Shaohua 52 Solodov, Mikhail V. 51 Birgin, Ernesto G. 51 Chuong, Thai Doan 51 Fukushima, Masao 51 Zhang, Shuzhong 50 Attouch, Hedy 50 Pang, Liping 50 Teo, Kok Lay 49 Chen, Xiaojun 49 Toint, Philippe L. 49 Yuan, Gonglin 47 Dempe, Stephan 47 Hintermüller, Michael 47 Iusem, Alfredo Noel 47 Lucidi, Stefano 47 Wang, Shawn Xianfu 47 Wei, Zengxin 46 Ansari, Qamrul Hasan 46 Terlaky, Tamás 46 Yuan, Ya-xiang 45 Csetnek, Ernö Robert 45 Dang Van Hieu 45 Outrata, Jiří V. 44 Bai, Yanqin 44 Dương Việt Thông 44 Lee, Gue Myung 44 Xia, Yong 43 Goberna, Miguel Angel 42 de Klerk, Etienne 42 Kunisch, Karl 42 Sun, Jie 42 Takahashi, Wataru 41 Gondzio, Jacek 41 Li, Donghui 41 Mewomo, Oluwatosin Temitope 41 Nie, Jiawang 41 Santos, Sandra Augusta 41 Xu, Huifu 40 Cholamjiak, Prasit 40 Dong, Qiaoli 40 Ferreira, Orizon Pereira 40 Monteiro, Renato D. C. 40 Ye, Yinyu 40 Zhou, Jinchuan 39 Babaie-Kafaki, Saman 39 Cánovas, María Josefa 39 Hantoute, Abderrahim 38 Liu, Sanyang 38 Parra, Juan 38 Phan Quôc Khánh 38 Wen, Chingfeng 38 Yang, Xinmin 38 Yin, Gang George 37 Andreani, Roberto 37 Combettes, Patrick L. 37 Kruger, Alexander Y. 37 Nesterov, Yurii 37 Tunçel, Levent 37 Ye, Jane J. 36 Izmailov, Alekseĭ F. 36 Wu, Soon-Yi 36 Yin, Wotao 35 Henrion, René 35 Laurent, Monique ...and 21,293 more Authors
all top 5

### Cited in 808 Journals

 1,355 Journal of Optimization Theory and Applications 1,268 Mathematical Programming. Series A. Series B 912 Computational Optimization and Applications 834 Journal of Global Optimization 787 SIAM Journal on Optimization 730 Optimization 653 European Journal of Operational Research 547 Optimization Methods & Software 506 Optimization Letters 474 Applied Mathematics and Computation 469 Journal of Computational and Applied Mathematics 311 Numerical Algorithms 287 Operations Research Letters 269 Annals of Operations Research 263 Automatica 249 Set-Valued and Variational Analysis 243 Journal of Mathematical Analysis and Applications 229 Numerical Functional Analysis and Optimization 223 Linear Algebra and its Applications 221 Journal of Inequalities and Applications 217 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 215 Computers & Operations Research 193 Optimization and Engineering 190 SIAM Journal on Scientific Computing 176 Computer Methods in Applied Mechanics and Engineering 170 Journal of Scientific Computing 168 Journal of Industrial and Management Optimization 166 Computers & Mathematics with Applications 164 Fixed Point Theory and Applications 151 Abstract and Applied Analysis 146 INFORMS Journal on Computing 145 Mathematical Problems in Engineering 142 Journal of Computational Physics 142 Computational and Applied Mathematics 124 Applied Numerical Mathematics 121 Mathematical Methods of Operations Research 121 Journal of Applied Mathematics and Computing 119 SIAM Journal on Imaging Sciences 115 Discrete Applied Mathematics 114 Mathematics of Operations Research 114 Mathematical Programming Computation 113 SIAM Journal on Control and Optimization 109 International Journal of Computer Mathematics 104 Journal of Machine Learning Research (JMLR) 101 Operations Research 98 Journal of the Operations Research Society of China 97 Applied Mathematical Modelling 94 Applied Mathematics and Optimization 93 Asia-Pacific Journal of Operational Research 89 SIAM Journal on Matrix Analysis and Applications 88 Journal of Applied Mathematics 86 Inverse Problems 86 Structural and Multidisciplinary Optimization 85 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 83 Top 82 Information Sciences 76 Vietnam Journal of Mathematics 76 Discrete Optimization 73 Systems & Control Letters 73 Journal of Mathematical Imaging and Vision 72 Numerische Mathematik 71 Positivity 69 Mathematics of Computation 67 Journal of Convex Analysis 66 Computational Management Science 64 Applicable Analysis 62 Foundations of Computational Mathematics 62 Journal of Fixed Point Theory and Applications 60 Theoretical Computer Science 59 Applied and Computational Harmonic Analysis 59 Numerical Algebra, Control and Optimization 58 Acta Mathematicae Applicatae Sinica. English Series 58 Applied Mathematics Letters 58 Computational Statistics and Data Analysis 56 The Annals of Statistics 53 International Journal of Control 53 International Journal for Numerical Methods in Engineering 53 RAIRO. Operations Research 52 Neural Computation 51 4OR 51 Science China. Mathematics 50 Machine Learning 49 Journal of Nonlinear and Variational Analysis 48 Journal of Combinatorial Optimization 47 Calcolo 47 Advances in Computational Mathematics 46 Journal of the Franklin Institute 46 SIAM Journal on Numerical Analysis 46 Statistics and Computing 45 Mathematical and Computer Modelling 45 Journal of Systems Science and Complexity 45 SIAM Journal on Mathematics of Data Science 42 Mathematics and Computers in Simulation 41 Numerical Linear Algebra with Applications 40 Set-Valued Analysis 39 EURO Journal on Computational Optimization 38 Journal of Symbolic Computation 38 Applications of Mathematics 37 Automation and Remote Control 36 Inverse Problems in Science and Engineering ...and 708 more Journals
all top 5

### Cited in 63 Fields

 15,209 Operations research, mathematical programming (90-XX) 6,666 Numerical analysis (65-XX) 4,615 Calculus of variations and optimal control; optimization (49-XX) 1,946 Operator theory (47-XX) 1,644 Computer science (68-XX) 1,184 Statistics (62-XX) 1,133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,033 Systems theory; control (93-XX) 875 Linear and multilinear algebra; matrix theory (15-XX) 752 Partial differential equations (35-XX) 646 Information and communication theory, circuits (94-XX) 623 Mechanics of deformable solids (74-XX) 488 Probability theory and stochastic processes (60-XX) 447 Convex and discrete geometry (52-XX) 407 Biology and other natural sciences (92-XX) 376 Combinatorics (05-XX) 344 Functional analysis (46-XX) 306 Fluid mechanics (76-XX) 301 Real functions (26-XX) 287 Ordinary differential equations (34-XX) 254 Algebraic geometry (14-XX) 246 Global analysis, analysis on manifolds (58-XX) 154 Approximations and expansions (41-XX) 153 Dynamical systems and ergodic theory (37-XX) 152 General topology (54-XX) 106 Quantum theory (81-XX) 98 Commutative algebra (13-XX) 98 Mechanics of particles and systems (70-XX) 90 Geophysics (86-XX) 87 Differential geometry (53-XX) 80 Statistical mechanics, structure of matter (82-XX) 75 Optics, electromagnetic theory (78-XX) 71 Classical thermodynamics, heat transfer (80-XX) 58 Number theory (11-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 55 Field theory and polynomials (12-XX) 55 Integral transforms, operational calculus (44-XX) 52 Nonassociative rings and algebras (17-XX) 45 Measure and integration (28-XX) 33 Geometry (51-XX) 32 Integral equations (45-XX) 31 General and overarching topics; collections (00-XX) 31 Mathematical logic and foundations (03-XX) 30 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) 19 Order, lattices, ordered algebraic structures (06-XX) 18 Group theory and generalizations (20-XX) 17 Difference and functional equations (39-XX) 11 Mathematics education (97-XX) 9 Associative rings and algebras (16-XX) 9 Topological groups, Lie groups (22-XX) 9 Special functions (33-XX) 8 General algebraic systems (08-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) 2 Category theory; homological algebra (18-XX) 1 (04-XX) 1 Sequences, series, summability (40-XX)