## Computational Optimization and Applications

### An International Journal

 Short Title: Comput. Optim. Appl. Publisher: Springer US, New York, NY ISSN: 0926-6003; 1573-2894/e Online: http://link.springer.com/journal/volumesAndIssues/10589 Comments: Indexed cover-to-cover
 Documents Indexed: 1,904 Publications (since 1992) References Indexed: 1,531 Publications with 49,384 References.
all top 5

### Latest Issues

 83, No. 1 (2022) 82, No. 3 (2022) 82, No. 2 (2022) 82, No. 1 (2022) 81, No. 3 (2022) 81, No. 2 (2022) 81, No. 1 (2022) 80, No. 3 (2021) 80, No. 2 (2021) 80, No. 1 (2021) 79, No. 3 (2021) 79, No. 2 (2021) 79, No. 1 (2021) 78, No. 3 (2021) 78, No. 2 (2021) 78, No. 1 (2021) 77, No. 3 (2020) 77, No. 2 (2020) 77, No. 1 (2020) 76, No. 3 (2020) 76, No. 2 (2020) 76, No. 1 (2020) 75, No. 3 (2020) 75, No. 2 (2020) 75, No. 1 (2020) 74, No. 3 (2019) 74, No. 2 (2019) 74, No. 1 (2019) 73, No. 3 (2019) 73, No. 2 (2019) 73, No. 1 (2019) 72, No. 3 (2019) 72, No. 2 (2019) 72, No. 1 (2019) 71, No. 3 (2018) 71, No. 2 (2018) 71, No. 1 (2018) 70, No. 3 (2018) 70, No. 2 (2018) 70, No. 1 (2018) 69, No. 3 (2018) 69, No. 2 (2018) 69, No. 1 (2018) 68, No. 3 (2017) 68, No. 2 (2017) 68, No. 1 (2017) 67, No. 3 (2017) 67, No. 2 (2017) 67, No. 1 (2017) 66, No. 3 (2017) 66, No. 2 (2017) 66, No. 1 (2017) 65, No. 3 (2016) 65, No. 2 (2016) 65, No. 1 (2016) 64, No. 3 (2016) 64, No. 2 (2016) 64, No. 1 (2016) 63, No. 3 (2016) 63, No. 2 (2016) 63, No. 1 (2016) 62, No. 3 (2015) 62, No. 2 (2015) 62, No. 1 (2015) 61, No. 3 (2015) 61, No. 2 (2015) 61, No. 1 (2015) 60, No. 3 (2015) 60, No. 2 (2015) 60, No. 1 (2015) 59, No. 3 (2014) 59, No. 1-2 (2014) 58, No. 3 (2014) 58, No. 2 (2014) 58, No. 1 (2014) 57, No. 3 (2014) 57, No. 2 (2014) 57, No. 1 (2014) 56, No. 3 (2013) 56, No. 2 (2013) 56, No. 1 (2013) 55, No. 3 (2013) 55, No. 2 (2013) 55, No. 1 (2013) 54, No. 3 (2013) 54, No. 2 (2013) 54, No. 1 (2013) 53, No. 3 (2012) 53, No. 2 (2012) 53, No. 1 (2012) 52, No. 3 (2012) 52, No. 2 (2012) 52, No. 1 (2012) 51, No. 3 (2012) 51, No. 2 (2012) 51, No. 1 (2012) 50, No. 3 (2011) 50, No. 2 (2011) 50, No. 1 (2011) 49, No. 3 (2011) ...and 137 more Volumes
all top 5

### Authors

 20 Solodov, Mikhail V. 19 Kanzow, Christian 19 Qi, Liqun 18 Lucidi, Stefano 17 Fukushima, Masao 17 Hager, William W. 17 Locatelli, Marco 16 Martínez, José Mario 15 Pardalos, Panos M. 15 Sciandrone, Marco 15 Tröltzsch, Fredi 14 Izmailov, Alekseĭ F. 14 Liuzzi, Giampaolo 14 Yuan, Xiaoming 13 Birgin, Ernesto G. 13 Gondzio, Jacek 12 Pong, Ting Kei 12 Zhang, Hongchao 11 Chen, Jein-Shan 11 Coleman, Thomas F. 11 He, Bingsheng 11 Kunisch, Karl 11 Monteiro, Renato D. C. 11 Schoen, Fabio 10 Hinze, Michael 10 Rösch, Arnd 10 Sherali, Hanif D. 10 Toh, Kim Chuan 9 Jacobson, Sheldon H. 9 Mangasarian, Olvi L. 9 Pang, Jong-Shi 9 Rinaldi, Francesco 8 Casas, Eduardo 8 Chen, Xiaojun 8 Fan, Jinyan 8 Ferreira, Orizon Pereira 8 Fischer, Andreas M. 8 Huang, Zheng-Hai 8 Júdice, Joaquim João 8 Konno, Hiroshi 8 Leyffer, Sven 8 Morini, Benedetta 8 Roma, Massimo 8 Santos, Sandra Augusta 8 Sun, Jie 8 Svaiter, Benar Fux 8 Toint, Philippe L. 8 Volkwein, Stefan 8 Wachsmuth, Daniel 8 Wolkowicz, Henry 8 Yamashita, Nobuo 7 Bertsekas, Dimitri Panteli 7 Biegler, Lorenz T. 7 Dai, Yu-Hong 7 DiPillo, Gianni 7 Eckstein, Jonathan 7 Hifi, Mhand 7 Li, Donghui 7 Lucet, Yves 7 Mateos, Mariano 7 Murray, Walter 7 Pan, Shaohua 7 Qi, Houduo 7 Shanno, David F. 7 Vicente, Luis Nunes 7 Wright, Stephen J. 7 Wu, Soon-Yi 7 Xiu, Naihua 7 Yabe, Hiroshi 6 Audet, Charles 6 Bellavia, Stefania 6 Dostál, Zdeněk 6 Facchinei, Francisco 6 Gould, Nicholas Ian Mark 6 Gratton, Serge 6 Hare, Warren L. 6 Hintermüller, Michael 6 Kennington, Jeffery L. 6 Kojima, Masakazu 6 Kuno, Takahito 6 Le Digabel, Sébastien 6 Ling, Chen 6 Marcotte, Patrice 6 Martí, Rafael 6 Mitchell, John E. 6 Petra, Cosmin G. 6 Piccialli, Veronica 6 Prudente, Leandro F. 6 Raydan, Marcos 6 Sachs, Ekkehard W. 6 Schiela, Anton 6 Sun, Defeng 6 Tran Dinh Quoc 6 Tunçel, Levent 6 Vial, Jean-Philippe 6 Yang, Xiaoqi 6 Zhang, Jianzhong 5 Armand, Paul 5 Benson, Hande Y. 5 Burer, Samuel ...and 2,737 more Authors
all top 5

### Fields

 1,695 Operations research, mathematical programming (90-XX) 355 Numerical analysis (65-XX) 313 Calculus of variations and optimal control; optimization (49-XX) 88 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Partial differential equations (35-XX) 41 Computer science (68-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 31 Systems theory; control (93-XX) 28 Operator theory (47-XX) 24 Statistics (62-XX) 16 Combinatorics (05-XX) 16 Biology and other natural sciences (92-XX) 15 General and overarching topics; collections (00-XX) 12 Fluid mechanics (76-XX) 11 Mechanics of deformable solids (74-XX) 9 Convex and discrete geometry (52-XX) 7 Information and communication theory, circuits (94-XX) 6 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 Integral transforms, operational calculus (44-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

1,613 Publications have been cited 16,537 times in 11,002 Documents Cited by Year
A variational discretization concept in control constrained optimization: The linear-quadratic case. Zbl 1074.65069
Hinze, M.
2005
A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112
Chen, Chunhui; Mangasarian, O. L.
1996
Error estimates for the numerical approximation of a semilinear elliptic control problem. Zbl 1033.65044
2002
Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems. Zbl 1038.90084
Chen, X. D.; Sun, D.; Sun, J.
2003
CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization. Zbl 1325.90004
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L.
2015
An interior-point algorithm for nonconvex nonlinear programming. Zbl 1040.90564
Vanderbei, Robert J.; Shanno, David F.
1999
Scenario reduction algorithms in stochastic programming. Zbl 1094.90024
Heitsch, Holger; Römisch, Werner
2003
A heuristic for moment-matching scenario generation. Zbl 1094.90579
Høyland, Kjetil; Kaut, Michal; Wallace, Stein W.
2003
Elliptic optimal control problems with $$L^1$$-control cost and applications for the placement of control devices. Zbl 1185.49031
2009
A logarithmic-quadratic proximal method for variational inequalities. Zbl 1039.90529
Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami
1999
Modified hybrid projection methods for finding common solutions to variational inequality problems. Zbl 1368.65103
Dang Van Hieu; Pham Ky Anh; Le Dung Muu
2017
Application of the alternating direction method of multipliers to separable convex programming problems. Zbl 0763.90071
Fukushima, Masao
1992
On the resolution of monotone complementarity problems. Zbl 0859.90113
Geiger, Carl; Kanzow, Christian
1996
Absolute value programming. Zbl 1278.90386
Mangasarian, Olvi L.
2007
Large-scale active-set box-constrained optimization method with spectral projected gradients. Zbl 1031.90012
Birgin, Ernesto G.; Martínez, José Mario
2002
Formulating an $$n$$-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
2017
Smoothing algorithms for complementarity problems over symmetric cones. Zbl 1198.90373
Huang, Zheng-Hai; Ni, Tie
2010
A projected gradient method for vector optimization problems. Zbl 1056.90126
Graña Drummond, L. M.; Iusem, A. N.
2004
The sample average approximation method applied to stochastic routing problems: a computational study. Zbl 1094.90029
Verweij, Bram; Ahmed, Shabbir; Kleywegt, Anton J.; Nemhauser, George; Shapiro, Alexander
2003
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
1999
Algorithm for cardinality-constrained quadratic optimization. Zbl 1178.90262
Bertsimas, Dimitris; Shioda, Romy
2009
Primal-dual strategy for state-constrained optimal control problems. Zbl 1015.49026
Bergounioux, Maïtine; Kunisch, Karl
2002
On the computational complexity of membership problems for the completely positive cone and its dual. Zbl 1330.90103
Dickinson, Peter J. C.; Gijben, Luuk
2014
Preconditioning indefinite systems in interior point methods for optimization. Zbl 1056.90137
Bergamaschi, Luca; Gondzio, Jacek; Zilli, Giovanni
2004
On equivalent reformulations for absolute value equations. Zbl 1181.90263
Prokopyev, Oleg
2009
Multiple centrality corrections in a primal-dual method for linear programming. Zbl 0860.90084
Gondzio, Jacek
1996
Global convergence properties of nonlinear conjugate gradient methods with modified secant condition. Zbl 1056.90130
Yabe, Hiroshi; Takano, Masahiro
2004
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints. Zbl 1244.90155
Censor, Yair; Chen, Wei; Combettes, Patrick L.; Davidi, Ran; Herman, Gabor T.
2012
A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints. Zbl 0904.90153
Fukushima, Masao; Luo, Zhi-Quan; Pang, Jong-Shi
1998
A globally and quadratically convergent method for absolute value equations. Zbl 1230.90195
Caccetta, Louis; Qu, Biao; Zhou, Guanglu
2011
Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints. Zbl 1220.90136
Nabetani, Koichi; Tseng, Paul; Fukushima, Masao
2011
Superlinear convergence of a stabilized SQP method to a degenerate solution. Zbl 0917.90279
Wright, Stephen J.
1998
Nonmonotone globalization techniques for the Barzilai-Borwein gradient method. Zbl 1028.90061
Grippo, L.; Sciandrone, M.
2002
Solving Euclidean distance matrix completion problems via semidefinite progrmming. Zbl 1040.90537
Alfakih, Abdo Y.; Khandani, Amir; Wolkowicz, Henry
1999
Solving binary cutting stock problems by column generation and branch- and-bound. Zbl 0801.90080
Vance, Pamela H.; Barnhart, Cynthia; Johnson, Ellis L.; Nemhauser, George L.
1994
Cone-constrained eigenvalue problems: Theory and algorithms. Zbl 1193.65039
Pinto da Costa, A.; Seeger, A.
2010
On the $$O(1/t)$$ convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators. Zbl 1304.90203
Cai, Xingju; Gu, Guoyong; He, Bingsheng
2014
Decomposition algorithms for stochastic programming on a computational grid. Zbl 1094.90026
Linderoth, Jeff; Wright, Stephen
2003
A new class of semismooth Newton-type methods for nonlinear complementarity problems. Zbl 0913.90250
Kanzow, Christian; Kleinmichel, Helmut
1998
SSVM: A smooth support vector machine for classification. Zbl 1017.90105
Lee, Yuh-Jye; Mangasarian, O. L.
2001
The superlinear convergence of a modified BFGS-type method for unconstrained optimization. Zbl 1070.90089
Wei, Zengxin; Yu, Gaohang; Yuan, Gonglin; Lian, Zhigang
2004
Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495
von Heusinger, Anna; Kanzow, Christian
2009
Zhou, Bin; Gao, Li; Dai, Yu-Hong
2006
Complementarity constraint qualifications and simplified $$B$$-stationary conditions for mathematical programs with equilibrium constraints. Zbl 1040.90560
Pang, Jong-Shi; Fukushima, Masao
1999
A survey of optimization by building and using probabilistic models. Zbl 0988.90052
Pelikan, Martin; Goldberg, David E.; Lobo, Fernando G.
2002
Convexity of chance constraints with independent random variables. Zbl 1168.90568
Henrion, René; Strugarek, Cyrille
2008
Smoothing method for minimax problems. Zbl 1054.90087
Xu, Song
2001
Scaled conjugate gradient algorithms for unconstrained optimization. Zbl 1168.90608
Andrei, Neculai
2007
Error estimates for the numerical approximation of boundary semilinear elliptic control problems. Zbl 1081.49023
Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi
2005
Optimal control of PDEs with regularized pointwise state constraints. Zbl 1103.90072
Meyer, Christian; Rösch, Arnd; Tröltzsch, Fredi
2006
Modified two-point stepsize gradient methods for unconstrained optimization. Zbl 1008.90056
Dai, Yuhong; Yuan, Jinyun; Yuan, Ya-Xiang
2002
Integrating SQP and branch-and-bound for mixed integer nonlinear programming. Zbl 1009.90074
Leyffer, Sven
2001
Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080
He, Bing-Sheng
2009
Relaxed steepest descent and Cauchy-Barzilai-Borwein method. Zbl 0988.90049
Raydan, Marcos; Svaiter, Benar F.
2002
The discretizable molecular distance geometry problem. Zbl 1259.90153
Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio
2012
Convergence analysis of a modified BFGS method on convex minimizations. Zbl 1228.90077
Yuan, Gonglin; Wei, Zengxin
2010
A Frank–Wolfe type theorem for convex polynomial programs. Zbl 1029.90054
Belousov, Evgeny G.; Klatte, Diethard
2002
A family of NCP functions and a descent method for the nonlinear complementarity problem. Zbl 1153.90542
Chen, Jein-Shan; Pan, Shaohua
2008
Numerical comparison of augmented Lagrangian algorithms for nonconvex problems. Zbl 1101.90066
Birgin, E. G.; Castillo, R. A.; Martínez, J. M.
2005
Multicategory classification by support vector machines. Zbl 1040.90574
Bredensteiner, Erin J.; Bennett, Kristin P.
1999
Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination. Zbl 1071.65085
Dostál, Zdeněk; Schöberl, Joachim
2005
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
2009
A feature selection Newton method for support vector machine classification. Zbl 1056.90103
Fung, Glenn M.; Mangasarian, O. L.
2004
Interior-point methods for nonconvex nonlinear programming: Filter methods and merit functions. Zbl 1022.90017
Benson, Hande Y.; Vanderbei, Robert J.; Shanno, David F.
2002
Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method. Zbl 1226.49026
Garg, Divya; Patterson, Michael A.; Francolin, Camila; Darby, Christopher L.; Huntington, Geoffrey T.; Hager, William W.; Rao, Anil V.
2011
An efficient gradient method using the Yuan steplength. Zbl 1310.90082
De Asmundis, Roberta; Di Serafino, Daniela; Hager, William W.; Toraldo, Gerardo; Zhang, Hongchao
2014
The eigenvalue complementarity problem. Zbl 1181.90261
Júdice, Joaquim J.; Sherali, Hanif D.; Ribeiro, Isabel M.
2007
Decomposition algorithms for generalized potential games. Zbl 1237.91017
Facchinei, Francisco; Piccialli, Veronica; Sciandrone, Marco
2011
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
2010
A nonsmooth algorithm for cone-constrained eigenvalue problems. Zbl 1220.90128
2011
Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems. Zbl 0914.93024
Elnagar, Gamal N.; Kazemi, Mohammad A.
1998
A proximal bundle method for nonsmooth nonconvex functions with inexact information. Zbl 1343.90069
Hare, W.; Sagastizábal, C.; Solodov, M.
2016
Relaxation methods for mixed-integer optimal control of partial differential equations. Zbl 1272.49026
Hante, Falk M.; Sager, Sebastian
2013
Branch-and-price algorithms for the one-dimensional cutting stock problem. Zbl 0897.90161
Vance, Pamela H.
1998
A complete efficiency ranking of decision making units in data envelopment analysis. Zbl 0963.91021
Mehrabian, Saeid; Alirezaee, Mohammad R.; Jahanshahloo, Gholam R.
1999
An implementation of Shor’s $$r$$-algorithm. Zbl 0947.90112
Kappel, Franz; Kuntsevich, Alexei V.
2000
On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552
Kanzow, Christian; Klug, Andreas
2006
Stabilized sequential quadratic programming. Zbl 1040.90566
Hager, William W.
1999
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function. Zbl 1372.90079
Cai, Xingju; Han, Deren; Yuan, Xiaoming
2017
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
1994
A “logic-constrained” knapsack formulation and a tabu algorithm for the daily photograph scheduling of an earth observation satellite. Zbl 0983.90082
Vasquez, Michel; Hao, Jin-Kao
2001
Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type. Zbl 1077.49030
Haslinger, J.; Kozubek, T.; Kunisch, K.; Peichl, G.
2003
Comparison of two kinds of prediction-correction methods for monotone variational inequalities. Zbl 1061.90111
He, Bingsheng; Yuan, Xiaoming; Zhang, Jason J. Z.
2004
Convergence of the forward-backward sweep method in optimal control. Zbl 1258.49040
McAsey, Michael; Mou, Libin; Han, Weimin
2012
Kantorovich’s majorants principle for Newton’s method. Zbl 1191.90095
Ferreira, O. P.; Svaiter, B. F.
2009
A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046
De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian
2000
A comparison of large scale mixed complementarity problem solvers. Zbl 0883.90116
Billups, Stephen C.; Dirkse, Steven P.; Ferris, Michael C.
1997
Interfaces to PATH 3.0: Design, implementation and usage. Zbl 1040.90549
Ferris, Michael C.; Munson, Todd S.
1999
Multidimensional assignment formulation of data association problems arising from multitarget and multisensor tracking. Zbl 0818.93070
Poore, Aubrey B.
1994
A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Zbl 1192.49031
Benedix, Olaf; Vexler, Boris
2009
Convergence of direct methods for paramonotone variational inequalities. Zbl 1220.90129
Bello Cruz, J. Y.; Iusem, A. N.
2010
Globally solving box-constrained nonconvex quadratic programs with semidefinite-based finite branch-and-bound. Zbl 1170.90522
Burer, Samuel; Vandenbussche, Dieter
2009
Iterative averaging of entropic projections for solving stochastic convex feasibility problems. Zbl 0880.90106
Butnariu, Dan; Censor, Yair; Reich, Simeon
1997
Sensitivity analysis for parametric control problems with control-state constraints. Zbl 0864.49020
Malanowski, Kazimierz; Maurer, Helmut
1996
On the cone eigenvalue complementarity problem for higher-order tensors. Zbl 1339.15008
Ling, Chen; He, Hongjin; Qi, Liqun
2016
A double projection method for solving variational inequalities without monotonicity. Zbl 1308.90184
Ye, Minglu; He, Yiran
2015
A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
2018
Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control. Zbl 1165.49034
Gong, Qi; Ross, I. Michael; Kang, Wei; Fahroo, Fariba
2008
Generalized convex disjunctive programming: Nonlinear convex hull relaxation. Zbl 1030.90069
Grossmann, Ignacio E.; Lee, Sangbum
2003
STRSCNE: a scaled trust-region solver for constrained nonlinear equations. Zbl 1056.90128
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
2004
Parametric shape optimization using the support function. Zbl 1490.90284
Antunes, Pedro R. S.; Bogosel, Beniamin
2022
Complexity of an inexact proximal-point penalty method for constrained smooth non-convex optimization. Zbl 1490.90230
Lin, Qihang; Ma, Runchao; Xu, Yangyang
2022
Finite-sum smooth optimization with SARAH. Zbl 07548103
Nguyen, Lam M.; van Dijk, Marten; Phan, Dzung T.; Nguyen, Phuong Ha; Weng, Tsui-Wei; Kalagnanam, Jayant R.
2022
A Riemannian rank-adaptive method for low-rank matrix completion. Zbl 1484.90110
Gao, Bin; Absil, P.-A.
2022
Expected complexity analysis of stochastic direct-search. Zbl 1484.90054
Dzahini, Kwassi Joseph
2022
An inexact accelerated stochastic ADMM for separable convex optimization. Zbl 1487.90521
Bai, Jianchao; Hager, William W.; Zhang, Hongchao
2022
A smoothing proximal gradient algorithm for matrix rank minimization problem. Zbl 1490.65083
Yu, Quan; Zhang, Xinzhen
2022
An alternate approach to solve two-level priority based assignment problem. Zbl 1487.90576
Xie, Fanrong; Sharma, Anuj; Li, Zuoan
2022
On the acceleration of the Barzilai-Borwein method. Zbl 1487.90513
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao
2022
Diagonal BFGS updates and applications to the limited memory BFGS method. Zbl 1487.90607
Li, Donghui; Wang, Xiaozhou; Huang, Jiajian
2022
The circumcentered-reflection method achieves better rates than alternating projections. Zbl 1470.49058
Arefidamghani, Reza; Behling, Roger; Bello-Cruz, Yunier; Iusem, Alfredo N.; Santos, Luiz-Rafael
2021
T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming. Zbl 1465.15031
Zheng, Meng-Meng; Huang, Zheng-Hai; Wang, Yong
2021
Stochastic mesh adaptive direct search for blackbox optimization using probabilistic estimates. Zbl 1469.90095
Audet, Charles; Dzahini, Kwassi Joseph; Kokkolaras, Michael; Le Digabel, Sébastien
2021
Stochastic proximal gradient methods for nonconvex problems in Hilbert spaces. Zbl 1469.90157
Geiersbach, Caroline; Scarinci, Teresa
2021
Exploiting term sparsity in noncommutative polynomial optimization. Zbl 07402746
Wang, Jie; Magron, Victor
2021
Sequential optimality conditions for cardinality-constrained optimization problems with applications. Zbl 1482.90211
Kanzow, Christian; Raharja, Andreas B.; Schwartz, Alexandra
2021
Decomposition and discrete approximation methods for solving two-stage distributionally robust optimization problems. Zbl 1468.90075
Chen, Yannan; Sun, Hailin; Xu, Huifu
2021
Quantitative results on a Halpern-type proximal point algorithm. Zbl 07353215
Leuştean, Laurenţiu; Pinto, Pedro
2021
Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation. Zbl 1470.90052
Leyffer, Sven; Manns, Paul; Winckler, Malte
2021
An interior point-proximal method of multipliers for convex quadratic programming. Zbl 1469.90158
Pougkakiotis, Spyridon; Gondzio, Jacek
2021
Globalized inexact proximal Newton-type methods for nonconvex composite functions. Zbl 1469.90111
Kanzow, Christian; Lechner, Theresa
2021
A bundle method for nonsmooth DC programming with application to chance-constrained problems. Zbl 1469.90115
van Ackooij, W.; Demassey, S.; Javal, P.; Morais, H.; de Oliveira, W.; Swaminathan, B.
2021
Strengthened splitting methods for computing resolvents. Zbl 07402748
Aragón Artacho, Francisco J.; Campoy, Rubén; Tam, Matthew K.
2021
Accelerated Bregman proximal gradient methods for relatively smooth convex optimization. Zbl 1473.90114
Hanzely, Filip; Richtárik, Peter; Xiao, Lin
2021
Multi-block Bregman proximal alternating linearized minimization and its application to orthogonal nonnegative matrix factorization. Zbl 1473.90122
Ahookhosh, Masoud; Hien, Le Thi Khanh; Gillis, Nicolas; Patrinos, Panagiotis
2021
Fastest rates for stochastic mirror descent methods. Zbl 1473.90113
Hanzely, Filip; Richtárik, Peter
2021
Properties of the delayed weighted gradient method. Zbl 1468.90144
Andreani, Roberto; Raydan, Marcos
2021
An efficient algorithm for nonconvex-linear minimax optimization problem and its application in solving weighted maximin dispersion problem. Zbl 1468.90141
Pan, Weiwei; Shen, Jingjing; Xu, Zi
2021
Decomposition algorithms for some deterministic and two-stage stochastic single-leader multi-follower games. Zbl 1470.91031
Borges, Pedro; Sagastizábal, Claudia; Solodov, Mikhail
2021
Polyhedral approximations of the semidefinite cone and their application. Zbl 1469.90105
Wang, Yuzhu; Tanaka, Akihiro; Yoshise, Akiko
2021
A proximal gradient method for control problems with non-smooth and non-convex control cost. Zbl 1482.49005
Natemeyer, Carolin; Wachsmuth, Daniel
2021
A stochastic subspace approach to gradient-free optimization in high dimensions. Zbl 1473.90087
Kozak, David; Becker, Stephen; Doostan, Alireza; Tenorio, Luis
2021
A Laplacian approach to $$\ell_1$$-norm minimization. Zbl 1473.90157
Bonifaci, Vincenzo
2021
An accelerated first-order method with complexity analysis for solving cubic regularization subproblems. Zbl 1473.90116
Jiang, Rujun; Yue, Man-Chung; Zhou, Zhishuo
2021
Computing mixed strategies equilibria in presence of switching costs by the solution of nonconvex QP problems. Zbl 1470.91015
Liuzzi, G.; Locatelli, M.; Piccialli, V.; Rass, S.
2021
A FISTA-type accelerated gradient algorithm for solving smooth nonconvex composite optimization problems. Zbl 1473.90130
Liang, Jiaming; Monteiro, Renato D. C.; Sim, Chee-Khian
2021
Alternating conditional gradient method for convex feasibility problems. Zbl 1472.65068
Díaz Millán, R.; Ferreira, O. P.; Prudente, L. F.
2021
An accelerated active-set algorithm for a quadratic semidefinite program with general constraints. Zbl 1462.65071
Shen, Chungen; Wang, Yunlong; Xue, Wenjuan; Zhang, Lei-Hong
2021
Single-forward-step projective splitting: exploiting cocoercivity. Zbl 1468.90084
Johnstone, Patrick R.; Eckstein, Jonathan
2021
Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations. Zbl 1468.65048
Fischer, A.; Izmailov, A. F.; Solodov, M. V.
2021
Generating set search using simplex gradients for bound-constrained black-box optimization. Zbl 1469.90136
Dedoncker, Sander; Desmet, Wim; Naets, Frank
2021
Inexact proximal memoryless quasi-Newton methods based on the Broyden family for minimizing composite functions. Zbl 1469.90141
Nakayama, Shummin; Narushima, Yasushi; Yabe, Hiroshi
2021
MINLP formulations for continuous piecewise linear function fitting. Zbl 1469.90093
Goldberg, Noam; Rebennack, Steffen; Kim, Youngdae; Krasko, Vitaliy; Leyffer, Sven
2021
Conditional gradient method for multiobjective optimization. Zbl 1469.90127
Assunção, P. B.; Ferreira, O. P.; Prudente, L. F.
2021
A proximal DC approach for quadratic assignment problem. Zbl 1469.90104
Jiang, Zhuoxuan; Zhao, Xinyuan; Ding, Chao
2021
A strictly contractive Peaceman-Rachford splitting method for the doubly nonnegative relaxation of the minimum cut problem. Zbl 1465.05146
Li, Xinxin; Pong, Ting Kei; Sun, Hao; Wolkowicz, Henry
2021
Secant update generalized version of PSB: a new approach. Zbl 1469.90159
Boutet, Nicolas; Haelterman, Rob; Degroote, Joris
2021
Nonconvex robust programming via value-function optimization. Zbl 1469.90099
Cui, Ying; He, Ziyu; Pang, Jong-Shi
2021
Tensor $$Z$$-eigenvalue complementarity problems. Zbl 1469.90150
Zeng, Meilan
2021
On mixed-integer optimal control with constrained total variation of the integer control. Zbl 1465.49022
Sager, Sebastian; Zeile, Clemens
2021
Forward-reflected-backward method with variance reduction. Zbl 1478.90130
Alacaoglu, Ahmet; Malitsky, Yura; Cevher, Volkan
2021
A data-driven approach for a class of stochastic dynamic optimization problems. Zbl 1481.90237
Silva, Thuener; Valladão, Davi; Homem-de-Mello, Tito
2021
Weak convergence of iterative methods for solving quasimonotone variational inequalities. Zbl 07342388
Liu, Hongwei; Yang, Jun
2020
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
2020
Numerically tractable optimistic bilevel problems. Zbl 1443.90312
Lampariello, Lorenzo; Sagratella, Simone
2020
Inexact first-order primal-dual algorithms. Zbl 1443.90273
Rasch, Julian; Chambolle, Antonin
2020
Restarting the accelerated coordinate descent method with a rough strong convexity estimate. Zbl 1432.90109
Fercoq, Olivier; Qu, Zheng
2020
Stochastic structured tensors to stochastic complementarity problems. Zbl 1441.15017
Du, Shouqiang; Che, Maolin; Wei, Yimin
2020
Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms. Zbl 1432.90107
Alves, M. Marques; Eckstein, Jonathan; Geremia, Marina; Melo, Jefferson G.
2020
Algorithms for stochastic optimization with function or expectation constraints. Zbl 1443.90263
Lan, Guanghui; Zhou, Zhiqiang
2020
The block-wise circumcentered-reflection method. Zbl 1445.90080
Behling, Roger; Bello-Cruz, J.-Yunier; Santos, Luiz-Rafael
2020
Tensor neural network models for tensor singular value decompositions. Zbl 1441.65040
Wang, Xuezhong; Che, Maolin; Wei, Yimin
2020
On the extension of the Hager-Zhang conjugate gradient method for vector optimization. Zbl 1446.90142
Gonçalves, M. L. N.; Prudente, L. F.
2020
Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117
Jiang, Jie; Chen, Xiaojun; Chen, Zhiping
2020
An augmented Lagrangian method for quasi-equilibrium problems. Zbl 1446.90154
Bueno, L. F.; Haeser, G.; Lara, F.; Rojas, F. N.
2020
Convergence rates of subgradient methods for quasi-convex optimization problems. Zbl 1447.90039
Hu, Yaohua; Li, Jiawen; Yu, Carisa Kwok Wai
2020
A self-adaptive method for pseudomonotone equilibrium problems and variational inequalities. Zbl 1432.49013
Yang, Jun; Liu, Hongwei
2020
Momentum and stochastic momentum for stochastic gradient, Newton, proximal point and subspace descent methods. Zbl 1466.90065
Loizou, Nicolas; Richtárik, Peter
2020
A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems. Zbl 1433.90148
de Carvalho Bento, Glaydston; Bitar, Sandro Dimy Barbosa; da Cruz Neto, João Xavier; Soubeyran, Antoine; de Oliveira Souza, João Carlos
2020
A branch-and-cut algorithm for solving mixed-integer semidefinite optimization problems. Zbl 1440.90031
Kobayashi, Ken; Takano, Yuich
2020
The Pontryagin maximum principle for solving Fokker-Planck optimal control problems. Zbl 1447.49029
Breitenbach, Tim; Borzì, Alfio
2020
An active-set algorithmic framework for non-convex optimization problems over the simplex. Zbl 1447.90038
Cristofari, Andrea; De Santis, Marianna; Lucidi, Stefano; Rinaldi, Francesco
2020
An explicit Tikhonov algorithm for nested variational inequalities. Zbl 1466.90112
Lampariello, Lorenzo; Neumann, Christoph; Ricci, Jacopo M.; Sagratella, Simone; Stein, Oliver
2020
Global optimization via inverse distance weighting and radial basis functions. Zbl 1466.90075
2020
Convergence rates for an inexact ADMM applied to separable convex optimization. Zbl 1466.90072
Hager, William W.; Zhang, Hongchao
2020
Riemannian conjugate gradient methods with inverse retraction. Zbl 1466.90124
Zhu, Xiaojing; Sato, Hiroyuki
2020
Expected residual minimization method for monotone stochastic tensor complementarity problem. Zbl 1466.90113
Ming, Zhenyu; Zhang, Liping; Qi, Liqun
2020
Secant update version of quasi-Newton PSB with weighted multisecant equations. Zbl 1433.90191
Boutet, Nicolas; Haelterman, Rob; Degroote, Joris
2020
Fast feasibility check of the multi-material vertical alignment problem in road design. Zbl 1432.90167
Monnet, Dominique; Hare, Warren; Lucet, Yves
2020
On semi-infinite systems of convex polynomial inequalities and polynomial optimization problems. Zbl 1441.90167
Guo, Feng; Sun, Xiaoxia
2020
An efficient adaptive accelerated inexact proximal point method for solving linearly constrained nonconvex composite problems. Zbl 1443.90282
Kong, Weiwei; Melo, Jefferson G.; Monteiro, Renato D. C.
2020
A differentiable path-following algorithm for computing perfect stationary points. Zbl 1453.90170
Zhan, Yang; Li, Peixuan; Dang, Chuangyin
2020
Towards an efficient augmented Lagrangian method for convex quadratic programming. Zbl 1446.90122
Bueno, Luís Felipe; Haeser, Gabriel; Santos, Luiz-Rafael
2020
Inverse point source location with the Helmholtz equation on a bounded domain. Zbl 1447.35387
Pieper, Konstantin; Tang, Bao Quoc; Trautmann, Philip; Walter, Daniel
2020
A sequential partial linearization algorithm for the symmetric eigenvalue complementarity problem. Zbl 1466.90109
Fukushima, Masao; Júdice, Joaquim; de Oliveira, Welington; Sessa, Valentina
2020
Hybrid Riemannian conjugate gradient methods with global convergence properties. Zbl 1466.90123
Sakai, Hiroyuki; Iiduka, Hideaki
2020
Multiscale stochastic optimization: modeling aspects and scenario generation. Zbl 1432.90094
Glanzer, Martin; Pflug, Georg Ch.
2020
A global hybrid derivative-free method for high-dimensional systems of nonlinear equations. Zbl 1432.90161
Begiato, Rodolfo G.; Custódio, Ana L.; Gomes-Ruggiero, Márcia A.
2020
An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization. Zbl 1433.90126
Liu, Zexian; Liu, Hongwei; Dai, Yu-Hong
2020
Modified Jacobian smoothing method for nonsmooth complementarity problems. Zbl 1432.90149
Chen, Pin-Bo; Zhang, Peng; Zhu, Xide; Lin, Gui-Hua
2020
Heuristics for the single machine weighted sum of completion times scheduling problem with periodic maintenance. Zbl 1432.90060
Krim, Hanane; Benmansour, Rachid; Duvivier, David; Aït-Kadi, Daoud; Hanafi, Said
2020
A line search exact penalty method for nonlinear semidefinite programming. Zbl 1432.90105
Zhao, Qi; Chen, Zhongwen
2020
A semidefinite relaxation method for second-order cone polynomial complementarity problems. Zbl 1441.15015
Cheng, Lulu; Zhang, Xinzhen
2020
SDP relaxation algorithms for $$\mathbf{P(P}_0)$$-tensor detection. Zbl 07181819
Wang, Xiao; Zhang, Xinzhen; Zhou, Guangming
2020
Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement. Zbl 1455.81010
Zhang, Mengshi; Ni, Guyan; Zhang, Guofeng
2020
Saddle points of rational functions. Zbl 1441.90179
Zhou, Guangming; Wang, Qin; Zhao, Wenjie
2020
A derivative-free optimization algorithm for the efficient minimization of functions obtained via statistical averaging. Zbl 1433.90193
Beyhaghi, Pooriya; Alimo, Ryan; Bewley, Thomas
2020
A discretization algorithm for nonsmooth convex semi-infinite programming problems based on bundle methods. Zbl 1433.90175
Pang, Li-Ping; Wu, Qi; Wang, Jin-He; Wu, Qiong
2020
Efficient local search procedures for quadratic fractional programming problems. Zbl 1433.90167
Consolini, Luca; Locatelli, Marco; Wang, Jiulin; Xia, Yong
2020
Accelerating incremental gradient optimization with curvature information. Zbl 1443.90276
Wai, Hoi-To; Shi, Wei; Uribe, César A.; Nedić, Angelia; Scaglione, Anna
2020
...and 1513 more Documents
all top 5

### Cited by 12,566 Authors

 67 Chen, Jein-Shan 67 Kanzow, Christian 65 Qi, Liqun 64 Martínez, José Mario 60 Huang, Zheng-Hai 52 Dang Van Hieu 50 Kunisch, Karl 50 Yuan, Xiaoming 44 Birgin, Ernesto G. 44 Fukushima, Masao 44 Shehu, Yekini 42 Solodov, Mikhail V. 41 Liu, Sanyang 41 Ma, Changfeng 40 Han, Deren 40 Pang, Jong-Shi 40 Tröltzsch, Fredi 39 Pardalos, Panos M. 39 Yuan, Gonglin 38 Pang, Liping 38 Rinaldi, Francesco 37 Chen, Yanping 37 Gondzio, Jacek 37 Jian, Jinbao 36 Lucidi, Stefano 35 Casas, Eduardo 35 Izmailov, Alekseĭ F. 35 Liberti, Leo 35 Zhang, Liwei 34 Lavor, Carlile Campos 33 Locatelli, Marco 33 Sherali, Hanif D. 32 Andreani, Roberto 32 Hager, William W. 32 Hinze, Michael 32 Júdice, Joaquim João 31 Liu, Hongwei 31 Pan, Shaohua 30 Dương Việt Thông 30 Ferreira, Orizon Pereira 30 He, Hongjin 30 Rösch, Arnd 30 Van Ackooij, Wim 29 Toh, Kim Chuan 29 Wang, Yiju 28 Bnouhachem, Abdellah 28 Dai, Yu-Hong 28 Dong, Qiaoli 28 He, Bingsheng 28 Liuzzi, Giampaolo 28 Sciandrone, Marco 28 Yao, Jen-Chih 28 Zhu, Detong 27 Dostál, Zdeněk 26 Bomze, Immanuel M. 26 Iusem, Alfredo Noel 26 Sun, Defeng 25 Frangioni, Antonio 25 Gibali, Aviv 25 Li, Donghui 25 Li, Duan 25 Zhang, Hongchao 24 Audet, Charles 24 Gaudioso, Manlio 24 Li, Guoyin 24 Reich, Simeon 24 Wachsmuth, Daniel 24 Xiao, Yunhai 24 Zhou, Jinchuan 23 Fan, Jinyan 23 Mangasarian, Olvi L. 23 Santos, Sandra Augusta 23 Stein, Oliver 23 Vexler, Boris 23 Wei, Zengxin 22 Babaie-Kafaki, Saman 22 Du, Shouqiang 22 Hintermüller, Michael 22 Jeyakumar, Vaithilingam 22 Li, Min 22 Ling, Chen 22 Seeger, Alberto 22 Sun, Jie 22 Tang, Jingyong 22 Teo, Kok Lay 22 Volkwein, Stefan 22 Yuan, Ya-xiang 21 Chen, Haibin 21 Hao, Jin-Kao 21 Le Thi, Hoai An 21 Lisser, Abdel 21 Lodi, Andrea 21 Mitchell, John E. 21 Mucherino, Antonio 21 Pasiliao, Eduardo L. jun. 21 Sun, Wenyu 21 Yang, Xiaoqi 20 Bellavia, Stefania 20 Censor, Yair 20 Fernandes, Edite M. G. P. ...and 12,466 more Authors
all top 5

### Cited in 552 Journals

 860 Computational Optimization and Applications 591 European Journal of Operational Research 554 Journal of Optimization Theory and Applications 456 Journal of Global Optimization 401 Mathematical Programming. Series A. Series B 331 Computers & Operations Research 312 Applied Mathematics and Computation 309 Optimization Methods & Software 293 Journal of Computational and Applied Mathematics 279 Optimization 267 Optimization Letters 260 SIAM Journal on Optimization 220 Annals of Operations Research 185 Numerical Algorithms 113 Mathematical Problems in Engineering 109 Computers & Mathematics with Applications 107 Computational and Applied Mathematics 102 Optimization and Engineering 101 INFORMS Journal on Computing 99 Journal of Inequalities and Applications 99 Journal of Industrial and Management Optimization 98 Numerical Functional Analysis and Optimization 97 Operations Research Letters 88 Journal of Scientific Computing 87 Applied Numerical Mathematics 87 SIAM Journal on Scientific Computing 81 Mathematical Methods of Operations Research 78 Applied Mathematical Modelling 76 Mathematical Programming Computation 75 International Journal of Computer Mathematics 73 Journal of Applied Mathematics and Computing 72 SIAM Journal on Control and Optimization 69 Automatica 68 Discrete Applied Mathematics 63 Set-Valued and Variational Analysis 59 Journal of Mathematical Analysis and Applications 56 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 54 Linear Algebra and its Applications 53 Top 52 Journal of the Operations Research Society of China 49 Inverse Problems 49 Numerische Mathematik 49 Computational Management Science 48 Computer Methods in Applied Mechanics and Engineering 47 Information Sciences 46 Asia-Pacific Journal of Operational Research 45 Journal of Combinatorial Optimization 44 Abstract and Applied Analysis 43 Journal of Computational Physics 42 Applied Mathematics and Optimization 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 38 Mathematics of Operations Research 38 Journal of Applied Mathematics 38 Numerical Algebra, Control and Optimization 32 Operations Research 32 4OR 31 Networks 31 EURO Journal on Computational Optimization 30 Calcolo 30 International Transactions in Operational Research 29 Advances in Computational Mathematics 28 SIAM Journal on Numerical Analysis 28 Theoretical Computer Science 28 SIAM Journal on Imaging Sciences 27 Mathematics of Computation 27 OR Spectrum 27 Science China. Mathematics 26 Applicable Analysis 26 Acta Mathematicae Applicatae Sinica. English Series 25 SIAM Journal on Matrix Analysis and Applications 25 Soft Computing 25 Discrete Optimization 24 Journal of the Franklin Institute 24 International Journal for Numerical Methods in Engineering 24 Journal of Machine Learning Research (JMLR) 23 Applied Mathematics Letters 22 Mathematics and Computers in Simulation 22 Computational Mechanics 22 Mathematical Control and Related Fields 21 International Journal of Control 21 Journal of Convex Analysis 20 Optimal Control Applications & Methods 20 Mathematical and Computer Modelling 20 Journal of Mathematical Imaging and Vision 20 RAIRO. Operations Research 20 Quantitative Finance 19 Vietnam Journal of Mathematics 19 Journal of Systems Science and Complexity 19 Journal of Fixed Point Theory and Applications 19 SIAM Journal on Mathematics of Data Science 18 Numerical Linear Algebra with Applications 18 Journal of Nonlinear and Variational Analysis 17 Discrete Dynamics in Nature and Society 17 CEJOR. Central European Journal of Operations Research 17 Frontiers of Mathematics in China 17 AIMS Mathematics 16 Automation and Remote Control 16 Structural and Multidisciplinary Optimization 15 Machine Learning 15 Pattern Recognition ...and 452 more Journals
all top 5

### Cited in 58 Fields

 7,878 Operations research, mathematical programming (90-XX) 3,572 Numerical analysis (65-XX) 2,195 Calculus of variations and optimal control; optimization (49-XX) 727 Computer science (68-XX) 658 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 529 Partial differential equations (35-XX) 515 Operator theory (47-XX) 423 Systems theory; control (93-XX) 375 Statistics (62-XX) 354 Linear and multilinear algebra; matrix theory (15-XX) 229 Mechanics of deformable solids (74-XX) 220 Biology and other natural sciences (92-XX) 202 Combinatorics (05-XX) 180 Information and communication theory, circuits (94-XX) 151 Fluid mechanics (76-XX) 93 Probability theory and stochastic processes (60-XX) 90 Convex and discrete geometry (52-XX) 88 Ordinary differential equations (34-XX) 66 Mechanics of particles and systems (70-XX) 58 Real functions (26-XX) 54 Functional analysis (46-XX) 53 Approximations and expansions (41-XX) 51 Optics, electromagnetic theory (78-XX) 50 Global analysis, analysis on manifolds (58-XX) 40 Dynamical systems and ergodic theory (37-XX) 37 Statistical mechanics, structure of matter (82-XX) 35 Quantum theory (81-XX) 31 Classical thermodynamics, heat transfer (80-XX) 25 General topology (54-XX) 23 Geometry (51-XX) 22 Algebraic geometry (14-XX) 22 Geophysics (86-XX) 19 Integral equations (45-XX) 19 Differential geometry (53-XX) 18 General and overarching topics; collections (00-XX) 17 Number theory (11-XX) 16 History and biography (01-XX) 15 Nonassociative rings and algebras (17-XX) 11 Mathematical logic and foundations (03-XX) 11 Integral transforms, operational calculus (44-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Field theory and polynomials (12-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Special functions (33-XX) 5 Difference and functional equations (39-XX) 5 Manifolds and cell complexes (57-XX) 4 Commutative algebra (13-XX) 4 Mathematics education (97-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Relativity and gravitational theory (83-XX)