# zbMATH — the first resource for mathematics

## Mathematical Programming. Series A. Series B

### A Publication of the Mathematical Programming Society

 Short Title: Math. Program. Publisher: Springer, Berlin/Heidelberg ISSN: 0025-5610; 1436-4646/e Online: http://link.springer.com/journal/volumesAndIssues/10107 Predecessor: Mathematical ProgrammingMathematical Programming Study Comments: Indexed cover-to-cover
 Documents Indexed: 3,133 Publications (since 1988) References Indexed: 2,562 Publications with 73,294 References.
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#### Latest Issues

 188, No. 2(B) (2021) 188, No. 1(A) (2021) 187, No. 1-2 (A) (2021) 186, No. 1-2 (A) (2021) 185, No. 1-2 (A) (2021) 184, No. 1-2 (A) (2020) 183, No. 1-2 (B) (2020) 182, No. (1-2 (A)) (2020) 181, No. 2 (B) (2020) 181, No. 1 (A) (2020) 180, No. 1-2 (A) (2020) 179, No. 1-2 (A) (2020) 178, No. 1-2 (A) (2019) 177, No. 1-2 (A) (2019) 176, No. 1-2 (B) (2019) 175, No. 1-2 (A) (2019) 174, No. 1-2 (B) (2019) 173, No. 1-2 (A) (2019) 172, No. 1-2 (B) (2018) 171, No. 1-2 (A) (2018) 170, No. 2 (A) (2018) 170, No. 1 (B) (2018) 169, No. 2 (A) (2018) 169, No. 1 (B) (2018) 168, No. 1-2 (B) (2018) 167, No. 2 (A) (2018) 167, No. 1 (B) (2018) 166, No. 1-2 (A) (2017) 165, No. 2 (A) (2017) 165, No. 1 (B) (2017) 164, No. 1-2 (A) (2017) 163, No. 1-2 (A) (2017) 162, No. 1-2 (A) (2017) 161, No. 1-2 (A) (2017) 160, No. 1-2 (A) (2016) 159, No. 1-2 (A) (2016) 158, No. 1-2 (A) (2016) 157, No. 2 (B) (2016) 157, No. 1 (B) (2016) 156, No. 1-2 (A) (2016) 155, No. 1-2 (A) (2016) 154, No. 1-2 (B) (2015) 153, No. 2 (A) (2015) 153, No. 1 (B) (2015) 152, No. 1-2 (A) (2015) 151, No. 2 (B) (2015) 151, No. 1 (B) (2015) 150, No. 2 (A) (2015) 150, No. 1 (B) (2015) 149, No. 1-2 (A) (2015) 148, No. 1-2 (B) (2014) 147, No. 1-2 (A) (2014) 146, No. 1-2 (A) (2014) 145, No. 1-2 (A) (2014) 144, No. 1-2 (A) (2014) 143, No. 1-2 (A) (2014) 142, No. 1-2 (A) (2013) 141, No. 1-2 (A) (2013) 140, No. 2 (B) (2013) 140, No. 1 (B) (2013) 139, No. 1-2 (B) (2013) 138, No. 1-2 (A) (2013) 137, No. 1-2 (A) (2013) 136, No. 2 (B) (2012) 136, No. 1 (B) (2012) 135, No. 1-2 (A) (2012) 134, No. 2 (A) (2012) 134, No. 1 (B) (2012) 133, No. 1-2 (A) (2012) 132, No. 1-2 (A) (2012) 131, No. 1-2 (A) (2012) 130, No. 2 (A) (2011) 130, No. 1 (A) (2011) 129, No. 2 (B) (2011) 129, No. 1 (B) (2011) 128, No. 1-2 (A) (2011) 127, No. 2 (A) (2011) 127, No. 1 (B) (2011) 126, No. 2 (A) (2011) 126, No. 1 (A) (2011) 125, No. 2 (B) (2010) 125, No. 1 (A) (2010) 124, No. 1-2 (B) (2010) 123, No. 2 (A) (2010) 123, No. 1 (B) (2010) 122, No. 2 (A) (2010) 122, No. 1 (A) (2010) 121, No. 2 (A) (2010) 121, No. 1 (A) (2010) 120, No. 2 (A) (2009) 120, No. 1 (B) (2009) 119, No. 2 (A) (2009) 119, No. 1 (A) (2009) 118, No. 2 (A) (2009) 118, No. 1 (A) (2009) 117, No. 1-2 (B) (2009) 116, No. 1-2 (B) (2009) 115, No. 2 (A) (2008) 115, No. 1 (A) (2008) 114, No. 2 (A) (2008) ...and 205 more Volumes
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#### Authors

 47 Ye, Yinyu 36 Pang, Jong-Shi 35 Wolsey, Laurence Alexander 27 Monteiro, Renato D. C. 27 Toint, Philippe L. 26 Cornuéjols, Gérard P. 25 Fischetti, Matteo 25 Weismantel, Robert 23 Nemirovski, Arkadi S. 22 Conforti, Michele 22 Tseng, Paul 21 Anstreicher, Kurt M. 21 Günlük, Oktay 21 Kojima, Masakazu 21 Solodov, Mikhail V. 20 Goldfarb, Donald 20 Nemhauser, George L. 20 Sun, Defeng 20 Todd, Michael J. 19 Ahmed, Shabbir 19 Bertsimas, Dimitris John 19 Lodi, Andrea 18 Balas, Egon 18 Ferris, Michael C. 18 Ruszczyński, Andrzej 17 Burer, Samuel 17 Chen, Xiaojun 17 Letchford, Adam N. 17 Mordukhovich, Boris S. 17 Sun, Jie 16 Dash, Sanjeeb 16 Laurent, Monique 16 Mizuno, Shinji 15 Atamtürk, Alper 15 Byrd, Richard H. 15 Freund, Robert M. 15 Kanzow, Christian 15 Lewis, Adrian S. 15 Nocedal, Jorge 15 Parrilo, Pablo A. 15 Qi, Liqun 15 Rendl, Franz 15 Tunçel, Levent 15 Wets, Roger Jean-Baptiste 15 Zhang, Shuzhong 14 Ben-Tal, Aharon 14 Dey, Santanu S. 14 Luo, Zhi-Quan 14 Murota, Kazuo 14 Orlin, James B. 13 Caprara, Alberto 13 Fukushima, Masao 13 Izmailov, Alekseĭ F. 13 Lan, Guanghui 13 Lee, Jon 13 Lemaréchal, Claude 13 Nesterov, Yurii 13 Overton, Michael L. 13 Rinaldi, Giovanni 13 Sassano, Antonio 13 Shapiro, Alexander 13 Teboulle, Marc 12 Basu, Amitabh 12 Burke, James V. 12 Facchinei, Francisco 12 Fujishige, Satoru 12 Iusem, Alfredo Noel 12 Jeyakumar, Vaithilingam 12 Kuhn, Daniel 12 Margot, François 12 Rockafellar, Ralph Tyrrell 12 Toh, Kimchuan 12 Woeginger, Gerhard Johannes 12 Wright, Stephen J. 12 Zhang, Yin 11 Conn, Andrew Roger 11 de Klerk, Etienne 11 Iwata, Satoru 11 McCormick, S. Thomas 11 Mehrotra, Sanjay 11 Nie, Jiawang 11 Peña, Javier F. 11 Ralph, Daniel 11 Richard, Jean-Philippe Pascal 11 Robinson, Stephen M. 11 Tawarmalani, Mohit 11 Wolkowicz, Henry 10 Bienstock, Daniel 10 Bonnans, Joseph Frédéric 10 Del Pia, Alberto 10 Dentcheva, Darinka 10 Gonzaga, Clovis C. 10 Gowda, Muddappa Seetharama 10 Jarre, Florian 10 Johnson, Ellis L. 10 Lasserre, Jean-Bernard 10 Locatelli, Marco 10 Lu, Zhaosong 10 Naddef, Denis J. 10 Scheinberg, Katya ...and 2,911 more Authors
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#### Fields

 2,951 Operations research, mathematical programming (90-XX) 582 Numerical analysis (65-XX) 535 Calculus of variations and optimal control; optimization (49-XX) 248 Computer science (68-XX) 198 Convex and discrete geometry (52-XX) 186 Combinatorics (05-XX) 169 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 78 Operator theory (47-XX) 72 Statistics (62-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 42 General and overarching topics; collections (00-XX) 35 Real functions (26-XX) 33 Systems theory; control (93-XX) 32 Functional analysis (46-XX) 29 Probability theory and stochastic processes (60-XX) 23 Ordinary differential equations (34-XX) 20 Information and communication theory, circuits (94-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Algebraic geometry (14-XX) 15 Approximations and expansions (41-XX) 14 Number theory (11-XX) 12 Biology and other natural sciences (92-XX) 11 General topology (54-XX) 9 Mechanics of particles and systems (70-XX) 8 History and biography (01-XX) 7 Quantum theory (81-XX) 6 Manifolds and cell complexes (57-XX) 6 Mechanics of deformable solids (74-XX) 5 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 5 Partial differential equations (35-XX) 4 Mathematical logic and foundations (03-XX) 4 Group theory and generalizations (20-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 4 Optics, electromagnetic theory (78-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Mathematics education (97-XX) 2 Field theory and polynomials (12-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Astronomy and astrophysics (85-XX)

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2,846 Publications have been cited 58,327 times in 26,933 Documents Cited by Year
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Robust discrete optimization and network flows. Zbl 1082.90067
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Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems. Zbl 0756.90081
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Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods. Zbl 1260.49048
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Solving semidefinite-quadratic-linear programs using SDPT3. Zbl 1030.90082
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Gradient methods for minimizing composite functions. Zbl 1287.90067
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A lift-and-project cutting plane algorithm for mixed 0-1 programs. Zbl 0796.90041
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Robust optimization-methodology and applications. Zbl 1007.90047
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Error bounds in mathematical programming. Zbl 0887.90165
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A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. Zbl 0989.90124
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Extension of primal-dual interior point algorithms to symmetric cones. Zbl 1023.90083
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Approximation algorithms for scheduling unrelated parallel machines. Zbl 0715.90063
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Forcing strong convergence of proximal point iterations in a Hilbert space. Zbl 0971.90062
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A new inexact alternating directions method for monotone variational inequalities. Zbl 1009.90108
He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai
2002
A coordinate gradient descent method for nonsmooth separable minimization. Zbl 1166.90016
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A polynomial-time algorithm, based on Newton’s method, for linear programming. Zbl 0654.90050
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Multi-stage stochastic optimization applied to energy planning. Zbl 0749.90057
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1991
Fixed point and Bregman iterative methods for matrix rank minimization. Zbl 1221.65146
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On the copositive representation of binary and continuous nonconvex quadratic programs. Zbl 1180.90234
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Global optimization of mixed-integer nonlinear programs: a theoretical and computational study. Zbl 1062.90041
Tawarmalani, Mohit; Sahinidis, Nikolaos V.
2004
Cubic regularization of Newton method and its global performance. Zbl 1142.90500
Nesterov, Yurii; Polyak, B. T.
2006
Interior path following primal-dual algorithms. I: Linear programming. Zbl 0676.90038
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1989
On the convergence of the proximal algorithm for nonsmooth functions involving analytic features. Zbl 1165.90018
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2009
A proximal-based deomposition method for compositions method for convex minimization problems. Zbl 0823.90097
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1994
Differential variational inequalities. Zbl 1139.58011
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2008
Solution of monotone complementarity problems with locally Lipschitzian functions. Zbl 0871.90097
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1997
Proximity control in bundle methods for convex nondifferentiable minimization. Zbl 0697.90060
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1990
The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent. Zbl 1332.90193
Chen, Caihua; He, Bingsheng; Ye, Yinyu; Yuan, Xiaoming
2016
New variants of bundle methods. Zbl 0857.90102
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1995
A semismooth equation approach to the solution of nonlinear complementarity problems. Zbl 0874.90185
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1996
Partially finite convex programming. I: Quasi relative interiors and duality theory. Zbl 0778.90049
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1992
The Boolean quadratic polytope: Some characteristics, facets and relatives. Zbl 0675.90056
1989
A polynomial-time algorithm for a class of linear complementarity problems. Zbl 0676.90087
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1989
Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116
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1994
Uncertain convex programs: randomized solutions and confidence levels. Zbl 1177.90317
Calafiore, Giuseppe; Campi, M. C.
2005
A smoothing method for mathematical programs with equilibrium constraints. Zbl 0959.65079
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1999
Calmness of constraint systems with applications. Zbl 1093.90058
Henrion, René; Outrata, Jiří V.
2005
A new branch-and-cut algorithm for the capacitated vehicle routing problem. Zbl 1073.90068
Lysgaard, Jens; Letchford, Adam N.; Eglese, Richard W.
2004
Interior path following primal-dual algorithms. II: Convex quadratic programming. Zbl 0676.90039
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Exploring relaxation induced neighborhoods to improve MIP solutions. Zbl 1131.90036
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2005
Self-regular functions and new search directions for linear and semidefinite optimization. Zbl 1007.90037
Peng, Jiming; Roos, Cornelis; Terlaky, Tamás
2002
An unconstrained smooth minimization reformulation of the second-order cone complementarity problem. Zbl 1093.90063
Chen, Jein-Shan; Tseng, Paul
2005
Primal-dual subgradient methods for convex problems. Zbl 1191.90038
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2009
Scenario reduction in stochastic programming. Zbl 1023.90043
Dupačová, J.; Gröwe-Kuska, N.; Römisch, W.
2003
An implementation of Karmarkar’s algorithm for linear programming. Zbl 0682.90061
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1989
Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions. Zbl 1184.90149
Truong Quang Bao; Mordukhovich, Boris S.
2010
On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds. Zbl 0842.90106
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1994
Inexact implicit methods for monotone general variational inequalities. Zbl 0979.49006
He, Bingsheng
1999
Robust branch-and-cut-and-price for the capacitated vehicle routing problem. Zbl 1094.90050
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2006
Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints. Zbl 0870.90092
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1996
A filled function method for finding a global minimizer of a function of several variables. Zbl 0694.90083
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A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization. Zbl 1030.90077
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2003
A primal-dual infeasible-interior-point algorithm for linear programming. Zbl 0808.90093
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1993
A feasible method for optimization with orthogonality constraints. Zbl 1281.49030
Wen, Zaiwen; Yin, Wotao
2013
Iteration complexity of randomized block-coordinate descent methods for minimizing a composite function. Zbl 1301.65051
Richtárik, Peter; Takáč, Martin
2014
NE/SQP: A robust algorithm for the nonlinear complementarity problem. Zbl 0808.90123
Pang, Jong-Shi; Gabriel, Steven A.
1993
Solving mixed integer nonlinear programs by outer approximation. Zbl 0833.90088
Fletcher, Roger; Leyffer, Sven
1994
Sample-path solution of stochastic variational inequalities. Zbl 0972.90079
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1999
Chvátal closures for mixed integer programming problems. Zbl 0711.90057
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1990
A globally convergent Newton method for solving strongly monotone variational inequalities. Zbl 0792.49007
Taji, Kouichi; Fukushima, Masao; Ibaraki, Toshihide
1993
An approximation algorithm for the generalized assignment problem. Zbl 0804.90077
Shmoys, David B.; Tardos, Éva
1993
Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results. Zbl 1229.90192
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
2011
On an instance of the inverse shortest paths problem. Zbl 0756.90089
Burton, D.; Toint, Ph. L.
1992
Convergence of some algorithms for convex minimization. Zbl 0805.90083
Correa, Rafael; Lemaréchal, Claude
1993
A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152
Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge
2000
Coordinate descent algorithms. Zbl 1317.49038
Wright, Stephen J.
2015
Adaptive cubic regularisation methods for unconstrained optimization. II: Worst-case function- and derivative-evaluation complexity. Zbl 1229.90193
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L.
2011
The feasibility pump. Zbl 1077.90039
Fischetti, Matteo; Glover, Fred; Lodi, Andrea
2005
An integer programming approach for linear programs with probabilistic constraints. Zbl 1184.90115
Luedtke, James; Ahmed, Shabbir; Nemhauser, George L.
2010
Logic-based Benders decomposition. Zbl 1023.90082
Hooker, J. N.; Ottosson, G.
2003
Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124
Chen, Chunhui; Mangasarian, O. L.
1995
On implementing a primal-dual interior-point method for conic quadratic optimization. Zbl 1030.90137
Andersen, E. D.; Roos, C.; Terlaky, T.
2003
Is bilevel programming a special case of a mathematical program with complementarity constraints? Zbl 1235.90145
Dempe, S.; Dutta, J.
2012
Strong conical hull intersection property, bounded linear regularity, Jameson’s property $$(G)$$, and error bounds in convex optimization. Zbl 0998.90088
Bauschke, Heinz H.; Borwein, Jonathan M.; Li, Wu
1999
Smoothing methods for nonsmooth, nonconvex minimization. Zbl 1266.90145
Chen, Michael Martin Xiaojun
2012
Scenario tree generation for multiperiod financial optimization of optimal discretization. Zbl 0987.91034
Pflug, G. Ch.
2001
Risk-averse dynamic programming for Markov decision processes. Zbl 1207.49032
Ruszczyński, Andrzej
2010
Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117
Mangasarian, O. L.; Solodov, M. V.
1993
The volume algorithm: Producing primal solutions with a subgradient method. Zbl 0961.90058
Barahona, Francisco; Anbil, Ranga
2000
Distributionally robust joint chance constraints with second-order moment information. Zbl 1286.90103
Zymler, Steve; Kuhn, Daniel; Rustem, Berç
2013
Modified barrier functions (theory and methods). Zbl 0756.90085
Polyak, R.
1992
Cluster analysis and mathematical programming. Zbl 0887.90182
Hansen, Pierre; Jaumard, Brigitte
1997
Computational study of a family of mixed-integer quadratic programming problems. Zbl 0855.90090
Bienstock, Daniel
1996
Z-eigenvalue methods for a global polynomial optimization problem. Zbl 1169.90022
Qi, Liqun; Wang, Fei; Wang, Yiju
2009
A trust region algorithm for equality constrained optimization. Zbl 0816.90121
Powell, M. J. D.; Yuan, Yaxiang
1990
Implementable tensor methods in unconstrained convex optimization. Zbl 1459.90157
Nesterov, Yurii
2021
An $$\mathcal{O} (n^2 \log{n})$$ algorithm for the weighted stable set problem in claw-free graphs. Zbl 1458.05203
Nobili, Paolo; Sassano, Antonio
2021
Lower complexity bounds of first-order methods for convex-concave bilinear saddle-point problems. Zbl 1458.90516
Ouyang, Yuyuan; Xu, Yangyang
2021
Multidimensional sum-up rounding for integer programming in optimal experimental design. Zbl 1458.62158
Yu, Jing; Anitescu, Mihai
2021
Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria. Zbl 1459.65083
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
2021
Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning. Zbl 07367256
Bolte, Jérôme; Pauwels, Edouard
2021
Near-optimal analysis of Lasserre’s univariate measure-based bounds for multivariate polynomial optimization. Zbl 07380866
Slot, Lucas; Laurent, Monique
2021
On the equivalence of inexact proximal ALM and ADMM for a class of convex composite programming. Zbl 1458.90509
Chen, Liang; Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2021
Mathematical programs with complementarity constraints and a non-Lipschitz objective: optimality and approximation. Zbl 07300746
Guo, Lei; Chen, Xiaojun
2021
Amenable cones: error bounds without constraint qualifications. Zbl 1459.90205
Lourenço, Bruno F.
2021
Why random reshuffling beats stochastic gradient descent. Zbl 1459.90199
Gürbüzbalaban, M.; Ozdaglar, A.; Parrilo, P. A.
2021
Improved complexities of conditional gradient-type methods with applications to robust matrix recovery problems. Zbl 1459.90146
Garber, Dan; Kaplan, Atara; Sabach, Shoham
2021
Orbitopal fixing for the full (sub-)orbitope and application to the unit commitment problem. Zbl 1459.90129
Bendotti, Pascale; Fouilhoux, Pierre; Rottner, Cécile
2021
An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity. Zbl 1465.90071
Gratton, S.; Simon, E.; Toint, Ph. L.
2021
New characterizations of Hoffman constants for systems of linear constraints. Zbl 1465.90043
Peña, Javier; Vera, Juan C.; Zuluaga, Luis F.
2021
Chebyshev center of the intersection of balls: complexity, relaxation and approximation. Zbl 1465.90120
Xia, Yong; Yang, Meijia; Wang, Shu
2021
Generalized stochastic Frank-Wolfe algorithm with stochastic “substitute” gradient for structured convex optimization. Zbl 1465.90063
Lu, Haihao; Freund, Robert M.
2021
Analysis of biased stochastic gradient descent using sequential semidefinite programs. Zbl 1465.90052
Hu, Bin; Seiler, Peter; Lessard, Laurent
2021
Distributed stochastic gradient tracking methods. Zbl 1465.90054
Pu, Shi; Nedić, Angelia
2021
Inexact stochastic mirror descent for two-stage nonlinear stochastic programs. Zbl 1465.90051
Guigues, Vincent
2021
Convergent upper bounds in global minimization with nonlinear equality constraints. Zbl 1465.90070
Füllner, Christian; Kirst, Peter; Stein, Oliver
2021
Convergence rate of inertial forward-backward algorithm beyond Nesterov’s rule. Zbl 1439.90055
Apidopoulos, Vassilis; Aujol, Jean-François; Dossal, Charles
2020
An efficient Hessian based algorithm for solving large-scale sparse group Lasso problems. Zbl 1435.90112
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan
2020
Lower bounds for finding stationary points I. Zbl 1451.90128
Carmon, Yair; Duchi, John C.; Hinder, Oliver; Sidford, Aaron
2020
Communication-efficient algorithms for decentralized and stochastic optimization. Zbl 1437.90125
Lan, Guanghui; Lee, Soomin; Zhou, Yi
2020
Convergence of a relaxed inertial proximal algorithm for maximally monotone operators. Zbl 07263694
Attouch, Hedy; Cabot, Alexandre
2020
Golden ratio algorithms for variational inequalities. Zbl 07263698
Malitsky, Yura
2020
Chordal decomposition in operator-splitting methods for sparse semidefinite programs. Zbl 1434.90126
Zheng, Yang; Fantuzzi, Giovanni; Papachristodoulou, Antonis; Goulart, Paul; Wynn, Andrew
2020
Distributionally robust optimization with polynomial densities: theory, models and algorithms. Zbl 1467.90030
de Klerk, Etienne; Kuhn, Daniel; Postek, Krzysztof
2020
When do birds of a feather flock together? $$k$$-means, proximity, and conic programming. Zbl 1434.90123
Li, Xiaodong; Li, Yang; Ling, Shuyang; Strohmer, Thomas; Wei, Ke
2020
Newton-type methods for non-convex optimization under inexact Hessian information. Zbl 1451.90134
Xu, Peng; Roosta, Fred; Mahoney, Michael W.
2020
On the equivalence of the primal-dual hybrid gradient method and Douglas-Rachford splitting. Zbl 07152790
O&rsquo;Connor, Daniel; Vandenberghe, Lieven
2020
Necessary conditions for linear convergence of iterated expansive, set-valued mappings. Zbl 1439.49032
Luke, D. Russell; Teboulle, Marc; Thao, Nguyen H.
2020
Second-order variational analysis in second-order cone programming. Zbl 1440.90079
Hang, Nguyen T. V.; Mordukhovich, Boris S.; Sarabi, M. Ebrahim
2020
New analysis of linear convergence of gradient-type methods via unifying error bound conditions. Zbl 1435.90111
Zhang, Hui
2020
A Newton-CG algorithm with complexity guarantees for smooth unconstrained optimization. Zbl 1448.90081
Royer, Clément W.; O&rsquo;Neill, Michael; Wright, Stephen J.
2020
Solving Lagrangian variational inequalities with applications to stochastic programming. Zbl 1445.90069
Rockafellar, R. Tyrrell; Sun, Jie
2020
Distances between optimal solutions of mixed-integer programs. Zbl 1435.90090
Paat, Joseph; Weismantel, Robert; Weltge, Stefan
2020
Varying confidence levels for CVaR risk measures and minimax limits. Zbl 1436.90092
Anderson, Edward; Xu, Huifu; Zhang, Dali
2020
Exact semidefinite formulations for a class of (random and non-random) nonconvex quadratic programs. Zbl 1445.90073
Burer, Samuel; Ye, Yinyu
2020
Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. With applications to either-or-constrained programming. Zbl 07210786
Mehlitz, Patrick
2020
Derivative-free robust optimization by outer approximations. Zbl 1435.90096
Menickelly, Matt; Wild, Stefan M.
2020
Outer-product-free sets for polynomial optimization and oracle-based cuts. Zbl 1450.90024
Bienstock, Daniel; Chen, Chen; Muñoz, Gonzalo
2020
Efficient first-order methods for convex minimization: a constructive approach. Zbl 1451.90118
2020
Primal-dual optimization algorithms over Riemannian manifolds: an iteration complexity analysis. Zbl 07263700
Zhang, Junyu; Ma, Shiqian; Zhang, Shuzhong
2020
Piecewise affine parameterized value-function based bilevel non-cooperative games. Zbl 1434.91024
Hao, Tianyu; Pang, Jong-Shi
2020
Optimality conditions and global convergence for nonlinear semidefinite programming. Zbl 1434.90121
Andreani, Roberto; Haeser, Gabriel; Viana, Daiana S.
2020
Using regularization and second order information in outer approximation for convex MINLP. Zbl 1461.65168
Kronqvist, Jan; Bernal, David E.; Grossmann, Ignacio E.
2020
MIDAS: a mixed integer dynamic approximation scheme. Zbl 1467.90027
Philpott, A. B.; Wahid, F.; Bonnans, J. F.
2020
Quantile-based risk sharing with heterogeneous beliefs. Zbl 1443.91102
Embrechts, Paul; Liu, Haiyan; Mao, Tiantian; Wang, Ruodu
2020
The multiproximal linearization method for convex composite problems. Zbl 1445.90081
Bolte, Jérôme; Chen, Zheng; Pauwels, Edouard
2020
A tractable approach for designing piecewise affine policies in two-stage adjustable robust optimization. Zbl 1445.90071
Ben-Tal, Aharon; El Housni, Omar; Goyal, Vineet
2020
Distances to lattice points in knapsack polyhedra. Zbl 1445.90059
Aliev, Iskander; Henk, Martin; Oertel, Timm
2020
Fully dynamic bin packing revisited. Zbl 07152791
Berndt, Sebastian; Jansen, Klaus; Klein, Kim-Manuel
2020
A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds. Zbl 1437.90130
Gratton, S.; Royer, C. W.; Vicente, L. N.
2020
On the efficient computation of a generalized Jacobian of the projector over the Birkhoff polytope. Zbl 1434.90116
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2020
Correction to: “Approximations and generalized Newton methods”. Zbl 1462.49034
Klatte, Diethard; Kummer, Bernd
2020
Improving the integrality gap for multiway cut. Zbl 1450.90038
Bérczi, Kristóf; Chandrasekaran, Karthekeyan; Király, Tamás; Madan, Vivek
2020
An exact approach for the bilevel knapsack problem with interdiction constraints and extensions. Zbl 1450.90040
Della Croce, Federico; Scatamacchia, Rosario
2020
An efficient characterization of submodular spanning tree games. Zbl 1446.05066
Koh, Zhuan Khye; Sanità, Laura
2020
A generic exact solver for vehicle routing and related problems. Zbl 1450.90017
Pessoa, Artur; Sadykov, Ruslan; Uchoa, Eduardo; Vanderbeck, François
2020
Random projections for quadratic programs. Zbl 1453.90112
D&rsquo;Ambrosio, Claudia; Liberti, Leo; Poirion, Pierre-Louis; Vu, Ky
2020
Combinatorial $$n$$-fold integer programming and applications. Zbl 1451.90100
Knop, Dušan; Koutecký, Martin; Mnich, Matthias
2020
Approximations of semicontinuous functions with applications to stochastic optimization and statistical estimation. Zbl 1451.90108
Royset, Johannes O.
2020
Faster subgradient methods for functions with Hölderian growth. Zbl 1461.65161
Johnstone, Patrick R.; Moulin, Pierre
2020
Packing of arborescences with matroid constraints via matroid intersection. Zbl 1441.05185
Király, Csaba; Szigeti, Zoltán; Tanigawa, Shin-ichi
2020
An alternative to EM for Gaussian mixture models: batch and stochastic Riemannian optimization. Zbl 1441.62168
2020
Theoretical and empirical analysis of trading activity. Zbl 1443.91277
Pohl, Mathias; Ristig, Alexander; Schachermayer, Walter; Tangpi, Ludovic
2020
Stochastic packing integer programs with few queries. Zbl 1445.90067
Maehara, Takanori; Yamaguchi, Yutaro
2020
Improved approximation algorithms for hitting 3-vertex paths. Zbl 1442.05222
Fiorini, Samuel; Joret, Gwenaël; Schaudt, Oliver
2020
The geometry of SDP-exactness in quadratic optimization. Zbl 1445.90075
Cifuentes, Diego; Harris, Corey; Sturmfels, Bernd
2020
Linear convergence of first order methods for non-strongly convex optimization. Zbl 1412.90111
Necoara, I.; Nesterov, Yu.; Glineur, F.
2019
Stochastic dual dynamic integer programming. Zbl 1412.90101
Zou, Jikai; Ahmed, Shabbir; Sun, Xu Andy
2019
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100
Rockafellar, R. Tyrrell; Sun, Jie
2019
Efficiency of minimizing compositions of convex functions and smooth maps. Zbl 1431.90111
Drusvyatskiy, D.; Paquette, C.
2019
Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182
Chen, Xiaojun; Sun, Hailin; Xu, Huifu
2019
Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators. Zbl 1412.37083
Attouch, Hedy; Peypouquet, Juan
2019
Gradient descent with random initialization: fast global convergence for nonconvex phase retrieval. Zbl 1415.90086
Chen, Yuxin; Chi, Yuejie; Fan, Jianqing; Ma, Cong
2019
Sub-sampled Newton methods. Zbl 1412.49059
Roosta-Khorasani, Farbod; Mahoney, Michael W.
2019
Learning in games with continuous action sets and unknown payoff functions. Zbl 1420.91027
Mertikopoulos, Panayotis; Zhou, Zhengyuan
2019
Subdifferential characterization of probability functions under Gaussian distribution. Zbl 1421.90098
Hantoute, Abderrahim; Henrion, René; Pérez-Aros, Pedro
2019
Polytopes associated with symmetry handling. Zbl 1421.90088
Hojny, Christopher; Pfetsch, Marc E.
2019
A block symmetric Gauss-Seidel decomposition theorem for convex composite quadratic programming and its applications. Zbl 1412.90086
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2019
Oracle complexity of second-order methods for smooth convex optimization. Zbl 1430.90460
Arjevani, Yossi; Shamir, Ohad; Shiff, Ron
2019
Exploiting negative curvature in deterministic and stochastic optimization. Zbl 1417.49036
Curtis, Frank E.; Robinson, Daniel P.
2019
First-order methods almost always avoid strict saddle points. Zbl 1415.90089
Lee, Jason D.; Panageas, Ioannis; Piliouras, Georgios; Simchowitz, Max; Jordan, Michael I.; Recht, Benjamin
2019
Enhanced proximal DC algorithms with extrapolation for a class of structured nonsmooth DC minimization. Zbl 1415.90091
Lu, Zhaosong; Zhou, Zirui; Sun, Zhe
2019
On the R-superlinear convergence of the KKT residuals generated by the augmented Lagrangian method for convex composite conic programming. Zbl 1423.90171
Cui, Ying; Sun, Defeng; Toh, Kim-Chuan
2019
Weakly homogeneous variational inequalities and solvability of nonlinear equations over cones. Zbl 1418.90261
Gowda, M. Seetharama; Sossa, David
2019
Ambiguous risk constraints with moment and unimodality information. Zbl 1410.90139
Li, Bowen; Jiang, Ruiwei; Mathieu, Johanna L.
2019
Maximization of AUC and buffered AUC in binary classification. Zbl 1421.90099
Norton, Matthew; Uryasev, Stan
2019
Scaling, proximity, and optimization of integrally convex functions. Zbl 1421.90129
Moriguchi, Satoko; Murota, Kazuo; Tamura, Akihisa; Tardella, Fabio
2019
Routing optimization with time windows under uncertainty. Zbl 1412.90100
Zhang, Yu; Baldacci, Roberto; Sim, Melvyn; Tang, Jiafu
2019
A general double-proximal gradient algorithm for d.c. programming. Zbl 1423.90195
2019
Structural properties of affine sparsity constraints. Zbl 1415.90087
Dong, Hongbo; Ahn, Miju; Pang, Jong-Shi
2019
A new use of Douglas-Rachford splitting for identifying infeasible, unbounded, and pathological conic programs. Zbl 07089030
Liu, Yanli; Ryu, Ernest K.; Yin, Wotao
2019
On the existence of Pareto solutions for polynomial vector optimization problems. Zbl 1418.90248
Kim, Do Sang; Phạm, Tiến-Son; Tuyen, Nguyen Van
2019
Identifying effective scenarios in distributionally robust stochastic programs with total variation distance. Zbl 1410.90142
Rahimian, Hamed; Bayraksan, Güzin; Homem-de-Mello, Tito
2019
Conditional gradient type methods for composite nonlinear and stochastic optimization. Zbl 1410.90150
2019
On the pervasiveness of difference-convexity in optimization and statistics. Zbl 1434.90155
Nouiehed, Maher; Pang, Jong-Shi; Razaviyayn, Meisam
2019
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#### Cited by 23,829 Authors

 150 Yao, Jen-Chih 133 Qi, Liqun 99 Jeyakumar, Vaithilingam 96 Zhang, Liwei 87 Mordukhovich, Boris S. 79 Martínez, José Mario 78 Chen, Jein-Shan 77 Yang, Xiaoqi 76 Kanzow, Christian 75 Pardalos, Panos M. 75 Yuan, Xiaoming 73 Huang, Nan-Jing 71 Xiu, Naihua 71 Ye, Yinyu 68 Huang, Zheng-Hai 68 Noor, Muhammad Aslam 67 Fukushima, Masao 67 Han, Deren 67 Li, Guoyin 66 Terlaky, Tamás 66 Zhu, Detong 63 Cornuéjols, Gérard P. 63 Pang, Jong-Shi 62 Kumam, Poom 62 Sherali, Hanif D. 62 Xu, Dachuan 60 Jian, Jinbao 60 Liu, Hongwei 58 Ma, Changfeng 57 Sun, Defeng 56 Iusem, Alfredo Noel 55 Puerto Albandoz, Justo 54 Bnouhachem, Abdellah 54 Escudero, Laureano Fernando 54 Laporte, Gilbert 54 Pan, Shaohua 54 Zhang, Jianzhong 53 Ahmed, Shabbir 53 Sun, Jie 53 Zhang, Shuzhong 52 Boţ, Radu Ioan 52 Chen, Xiaojun 52 Hansen, Pierre 51 Bertsimas, Dimitris John 51 Lodi, Andrea 50 Fang, Shu-Cherng 50 Locatelli, Marco 49 He, Bingsheng 49 Laurent, Monique 49 Letchford, Adam N. 49 Solodov, Mikhail V. 49 Toint, Philippe L. 48 Liberti, Leo 48 Liu, Sanyang 48 Wolsey, Laurence Alexander 47 Kheirfam, Behrouz 47 Le Thi, Hoai An 46 Bauschke, Heinz H. 46 Li, Duan 45 Dempe, Stephan 45 Pang, Liping 44 Fischetti, Matteo 43 Teo, Kok Lay 42 Conforti, Michele 42 Weismantel, Robert 41 Bai, Yanqin 41 Birgin, Ernesto G. 41 de Klerk, Etienne 41 Dey, Santanu S. 41 Ferreira, Orizon Pereira 41 Wei, Zengxin 40 Cho, Yeol Je 40 Dai, Yu-Hong 40 Izmailov, Alekseĭ F. 40 Kojima, Masakazu 40 Nesterov, Yurii 40 Wu, Soon-Yi 40 Yao, Yonghong 40 Zhou, Jinchuan 39 Ansari, Qamrul Hasan 39 Roos, Cornelis 39 Ruszczyński, Andrzej 38 Babaie-Kafaki, Saman 38 Gondzio, Jacek 38 Gowda, Muddappa Seetharama 38 Júdice, Joaquim João 38 Konnov, Igor V. 38 Lasserre, Jean-Bernard 38 Lee, Gue Myung 38 Salazar-González, Juan-José 38 Sun, Wenyu 38 Tunçel, Levent 37 Chuong, Thai Doan 37 Lee, Jon 37 Li, Donghui 37 López-Cerdá, Marco Antonio 37 Monteiro, Renato D. C. 37 Nie, Jiawang 37 Outrata, Jiří V. 37 Wan, Zhongping ...and 23,729 more Authors
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#### Cited in 822 Journals

 1,915 Mathematical Programming. Series A. Series B 1,745 European Journal of Operational Research 1,448 Journal of Optimization Theory and Applications 979 Journal of Global Optimization 911 Computational Optimization and Applications 772 Computers & Operations Research 739 Optimization 652 SIAM Journal on Optimization 649 Operations Research Letters 632 Annals of Operations Research 563 Applied Mathematics and Computation 551 Optimization Letters 544 Optimization Methods & Software 524 Discrete Applied Mathematics 481 Journal of Computational and Applied Mathematics 317 Linear Algebra and its Applications 249 Journal of Mathematical Analysis and Applications 238 Numerical Algorithms 235 Discrete Optimization 223 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 219 Computers & Mathematics with Applications 212 Theoretical Computer Science 210 Set-Valued and Variational Analysis 204 INFORMS Journal on Computing 199 Automatica 187 Mathematical Problems in Engineering 185 Numerical Functional Analysis and Optimization 167 Mathematical Methods of Operations Research 162 Algorithmica 162 Journal of Combinatorial Optimization 154 Optimization and Engineering 151 Journal of Industrial and Management Optimization 151 Mathematical Programming Computation 150 Mathematics of Operations Research 149 Top 146 Operations Research 131 SIAM Journal on Scientific Computing 131 Journal of Inequalities and Applications 129 Abstract and Applied Analysis 122 Computer Methods in Applied Mechanics and Engineering 120 Fixed Point Theory and Applications 117 Applied Mathematical Modelling 113 Journal of Scientific Computing 113 Journal of the Operations Research Society of China 107 Journal of Applied Mathematics and Computing 102 Networks 102 Computational and Applied Mathematics 100 RAIRO. Operations Research 100 Computational Management Science 93 Asia-Pacific Journal of Operational Research 92 International Journal of Computer Mathematics 91 Journal of Scheduling 90 Discrete Mathematics 89 SIAM Journal on Imaging Sciences 86 Journal of Machine Learning Research (JMLR) 85 Applied Numerical Mathematics 84 Journal of Applied Mathematics 80 Information Processing Letters 78 4OR 77 Journal of Mathematical Imaging and Vision 77 OR Spectrum 76 Mathematical and Computer Modelling 75 Applied Mathematics Letters 75 Positivity 74 Applied Mathematics and Optimization 70 EURO Journal on Computational Optimization 68 SIAM Journal on Control and Optimization 65 Journal of Computational Physics 65 SIAM Journal on Matrix Analysis and Applications 63 Acta Mathematicae Applicatae Sinica. English Series 63 Discrete & Computational Geometry 63 Cybernetics and Systems Analysis 62 International Transactions in Operational Research 61 Information Sciences 61 SIAM Journal on Discrete Mathematics 60 Inverse Problems 58 Mathematics of Computation 57 Networks and Spatial Economics 56 Systems & Control Letters 55 Science China. Mathematics 53 Numerical Algebra, Control and Optimization 50 International Journal of Control 50 Vietnam Journal of Mathematics 49 CEJOR. Central European Journal of Operations Research 48 Computational Statistics and Data Analysis 47 Journal of Systems Science and Complexity 45 Automation and Remote Control 45 Set-Valued Analysis 45 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 45 Foundations of Computational Mathematics 44 Applied Mathematics. Series B (English Edition) 43 Numerische Mathematik 41 Applicable Analysis 41 Naval Research Logistics 41 Japan Journal of Industrial and Applied Mathematics 41 Journal of Heuristics 39 International Journal for Numerical Methods in Engineering 39 Journal of Symbolic Computation 39 Machine Learning 38 The Annals of Statistics ...and 722 more Journals
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#### Cited in 63 Fields

 20,211 Operations research, mathematical programming (90-XX) 5,560 Numerical analysis (65-XX) 4,128 Calculus of variations and optimal control; optimization (49-XX) 2,545 Computer science (68-XX) 2,014 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,430 Operator theory (47-XX) 1,359 Combinatorics (05-XX) 962 Statistics (62-XX) 868 Systems theory; control (93-XX) 797 Linear and multilinear algebra; matrix theory (15-XX) 745 Convex and discrete geometry (52-XX) 563 Information and communication theory, circuits (94-XX) 403 Mechanics of deformable solids (74-XX) 382 Probability theory and stochastic processes (60-XX) 336 Partial differential equations (35-XX) 324 Biology and other natural sciences (92-XX) 303 Functional analysis (46-XX) 268 Ordinary differential equations (34-XX) 245 Real functions (26-XX) 215 Algebraic geometry (14-XX) 184 Global analysis, analysis on manifolds (58-XX) 165 Fluid mechanics (76-XX) 129 General topology (54-XX) 120 Approximations and expansions (41-XX) 107 Quantum theory (81-XX) 102 Number theory (11-XX) 97 Mechanics of particles and systems (70-XX) 95 Commutative algebra (13-XX) 91 Dynamical systems and ergodic theory (37-XX) 68 Geophysics (86-XX) 66 Differential geometry (53-XX) 62 Nonassociative rings and algebras (17-XX) 59 Mathematical logic and foundations (03-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 46 Statistical mechanics, structure of matter (82-XX) 45 History and biography (01-XX) 40 Field theory and polynomials (12-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 37 Group theory and generalizations (20-XX) 36 Measure and integration (28-XX) 36 Geometry (51-XX) 34 General and overarching topics; collections (00-XX) 33 Integral transforms, operational calculus (44-XX) 29 Optics, electromagnetic theory (78-XX) 29 Classical thermodynamics, heat transfer (80-XX) 27 Manifolds and cell complexes (57-XX) 22 Integral equations (45-XX) 20 Several complex variables and analytic spaces (32-XX) 20 Algebraic topology (55-XX) 19 Associative rings and algebras (16-XX) 17 Functions of a complex variable (30-XX) 15 Difference and functional equations (39-XX) 14 Topological groups, Lie groups (22-XX) 14 Mathematics education (97-XX) 11 Special functions (33-XX) 9 General algebraic systems (08-XX) 6 Sequences, series, summability (40-XX) 5 Abstract harmonic analysis (43-XX) 3 $$K$$-theory (19-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX)