# zbMATH — the first resource for mathematics

## Journal of Global Optimization

### An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management, and Engineering

 Short Title: J. Glob. Optim. Publisher: Springer US, New York, NY ISSN: 0925-5001; 1573-2916/e Online: http://link.springer.com/journal/volumesAndIssues/10898 Comments: Indexed cover-to-cover
 Documents Indexed: 2,880 Publications (since 1991) References Indexed: 2,322 Publications with 67,926 References.
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#### Latest Issues

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#### Authors

 54 Pardalos, Panos M. 38 Floudas, Christodoulos Achilleus 28 Yao, Jen-Chih 27 Teo, Kok Lay 27 Yang, Xiaoqi 26 Tuy, Hoang 23 Li, Duan 21 Du, Ding-Zhu 21 Hendrix, Eligius M. T. 21 Le Thi, Hoai An 21 Locatelli, Marco 21 Sherali, Hanif D. 20 Qi, Liqun 18 Lin, Lai-Jiu 18 Sahinidis, Nikolaos V. 17 Pham Dinh Tao 16 Hansen, Pierre 16 Mitsos, Alexander 15 Huang, Nan-Jing 15 Konno, Hiroshi 15 Kuno, Takahito 15 Neumaier, Arnold 14 Barton, Paul I. 14 Bomze, Immanuel M. 14 García, Inmaculada F. 14 Liberti, Leo 14 Phan Quôc Khánh 14 Pistikopoulos, Efstratios N. 14 Wu, Soon-Yi 13 Carrizosa, Emilio 13 Casado, Leocadio G. 13 Csendes, Tibor 13 Fang, Shu-Cherng 13 Gao, David Yang 13 Jeyakumar, Vaithilingam 13 Schoen, Fabio 13 Sergeev, Yaroslav Dmitrievich 13 Wu, Weili 13 Zabinsky, Zelda B. 13 Zhang, Zhao 12 Messine, Frédéric 12 Nguyen van Thoai 12 Schaible, Siegfried 12 Žilinskas, Antanas 11 Bagirov, Adil M. 11 Stein, Oliver 11 Xu, Dachuan 10 Benson, Harold P. 10 Demyanov, Vladimir Fedorovich 10 Grossmann, Ignacio E. 10 Jongen, Hubertus Th. 10 Lee, Gue Myung 10 Miettinen, Kaisa M. 10 Rubinov, Alexander M. 10 Žilinskas, Julius 9 Adjiman, Claire S. 9 Ansari, Qamrul Hasan 9 Brazil, Marcus N. 9 Ferreira, Orizon Pereira 9 Hadjisavvas, Nicolas 9 Konnov, Igor V. 9 Lavor, Carlile Campos 9 Martínez, José Mario 9 Mladenović, Nenad 9 Mohebi, Hossein 9 Mordukhovich, Boris S. 9 Strekalovskiĭ, Aleksandr Sergeevich 9 Wu, Zhiyou 8 Araya, Ignacio J. 8 Audet, Charles 8 Calvin, James M. 8 Dempe, Stephan 8 Domes, Ferenc 8 Flores-Bazán, Fabián 8 Gadhi, Nazih Abderrazzak 8 Kang, Shin Min 8 Kearfott, Baker 8 Lalitha, C. S. 8 Martínez-Legaz, Juan-Enrique 8 Mastroeni, Giandomenico 8 Németh, Sándor Zoltán 8 Peng, Jianwen 8 Romeijn, H. Edwin 8 Rosen, J. Ben 8 Rubinstein, J. Hyam 8 Rustem, Berc 8 Sheu, Ruey-Lin 8 Thomas, Doreen Anne 8 Wood, Graham R. 8 Yang, Xinmin 8 Zafarani, Jafar 7 Allevi, Elisabetta 7 Ceng, Lu-Chuan 7 Chen, Jein-Shan 7 Ding, Xie Ping 7 Eichfelder, Gabriele 7 Fukushima, Masao 7 Huang, Xuexiang 7 Isac, George 7 Iusem, Alfredo Noel ...and 3,565 more Authors
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#### Fields

 2,495 Operations research, mathematical programming (90-XX) 490 Calculus of variations and optimal control; optimization (49-XX) 266 Numerical analysis (65-XX) 179 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 153 Operator theory (47-XX) 73 Computer science (68-XX) 66 General and overarching topics; collections (00-XX) 56 Systems theory; control (93-XX) 52 Real functions (26-XX) 50 Statistics (62-XX) 46 Biology and other natural sciences (92-XX) 40 Partial differential equations (35-XX) 37 Global analysis, analysis on manifolds (58-XX) 33 Convex and discrete geometry (52-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 31 Functional analysis (46-XX) 29 Combinatorics (05-XX) 29 Mechanics of deformable solids (74-XX) 28 Ordinary differential equations (34-XX) 26 General topology (54-XX) 17 Probability theory and stochastic processes (60-XX) 17 Information and communication theory, circuits (94-XX) 10 Approximations and expansions (41-XX) 8 History and biography (01-XX) 8 Difference and functional equations (39-XX) 5 Field theory and polynomials (12-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Algebraic geometry (14-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

2,337 Publications have been cited 25,032 times in 13,588 Documents Cited by Year
Differential evolution – a simple and efficient heuristic for global optimization over continuous spaces. Zbl 0888.90135
Storn, Rainer; Price, Kenneth
1997
Efficient global optimization of expensive black-box functions. Zbl 0917.90270
Jones, Donald R.; Schonlau, Matthias; Welch, William J.
1998
Greedy randomized adaptive search procedures. Zbl 0822.90110
Feo, Thomas A.; Resende, Mauricio G. C.
1995
A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. Zbl 1149.90186
Karaboga, Dervis; Basturk, Bahriye
2007
A taxonomy of global optimization methods based on response surfaces. Zbl 1172.90492
Jones, Donald R.
2001
Bilevel and multilevel programming: A bibliography review. Zbl 0822.90127
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1994
BARON: A general purpose global optimization software package. Zbl 0856.90104
Sahinidis, Nikolaos V.
1996
Gap functions for equilibrium problems. Zbl 1061.90112
Mastroeni, G.
2003
$$\alpha BB$$: A global optimization method for general constrained nonconvex problems. Zbl 0846.90087
Androulakis, I. P.; Maranas, C. D.; Floudas, C. A.
1995
Machine scheduling with an availability constraint. Zbl 0870.90071
Lee, Chung-Yee
1996
Quadratic programming with one negative eigenvalue is NP-hard. Zbl 0755.90065
Pardalos, Panos M.; Vavasis, Stephen A.
1991
A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique. Zbl 0787.90088
Sherali, Hanif D.; Tuncbilek, Cihan H.
1992
ANTIGONE: algorithms for coNTinuous/Integer global optimization of nonlinear equations. Zbl 1301.90063
Misener, Ruth; Floudas, Christodoulos A.
2014
Solving a class of linearly constrained indefinite quadratic problems by DC algorithms. Zbl 0905.90131
Le Thi Hoai An; Pham Dinh Tao
1997
A numerical evaluation of several stochastic algorithms on selected continuous global optimization test problems. Zbl 1093.90028
Ali, M. Montaz; Khompatraporn, Charoenchai; Zabinsky, Zelda B.
2005
Solving standard quadratic optimization problems via linear, semidefinite and copositive programming. Zbl 1047.90038
Bomze, Immanuel M.; De Klerk, Etienne
2002
A radial basis function method for global optimization. Zbl 0972.90055
Gutmann, H.-M.
2001
A nonlinear scalarization function and generalized quasi-vector equilibrium problems. Zbl 1130.90413
Chen, G. Y.; Yang, X. Q.; Yu, H.
2005
A branch-and-reduce approach to global optimization. Zbl 0856.90103
Ryoo, Hong S.; Sahinidis, Nikolaos V.
1996
Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems. Zbl 1198.47081
Ceng, Lu-Chuan; Hadjisavvas, Nicolas; Wong, Ngai-Ching
2010
QAPLIB - a quadratic assignment problem library. Zbl 0884.90116
Burkard, Rainer E.; Karisch, Stefan E.; Rendl, Franz
1997
Solution semicontinuity of parametric generalized vector equilibrium problems. Zbl 1213.54028
Chen, C. R.; Li, S. J.; Teo, K. L.
2009
Global optimization by multilevel coordinate search. Zbl 0956.90045
Huyer, Waltraud; Neumaier, Arnold
1999
A review of recent advances in global optimization. Zbl 1180.90245
Floudas, C. A.; Gounaris, C. E.
2009
A new reformulation-linearization technique for bilinear programming problems. Zbl 0791.90056
Sherali, Hanif D.; Alameddine, Amine
1992
The maximum clique problem. Zbl 0797.90108
Pardalos, Panos M.; Xue, Jue
1994
Global stability results for the weak vector variational inequality. Zbl 1097.49006
Cheng, Y. H.; Zhu, D. L.
2005
A regularization method for the proximal point algorithm. Zbl 1131.90062
Xu, Hong-Kun
2006
Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming. Zbl 1169.90425
Anstreicher, Kurt M.
2009
Derivative-free optimization: a review of algorithms and comparison of software implementations. Zbl 1272.90116
Rios, Luis Miguel; Sahinidis, Nikolaos V.
2013
A penalty function approach for solving bi-level linear programs. Zbl 0791.90047
White, D. J.; Anandalingam, G.
1993
Inferrring an ELECTRE TRI model from assignment examples. Zbl 0904.90093
Mousseau, V.; Slowinski, R.
1998
An outer approximation algorithm for generating all efficient extreme points in the outcome set of a multiple objective linear programming problem. Zbl 0908.90223
Benson, Harold P.
1998
A recipe for semidefinite relaxation for $$(0,1)$$-quadratic programming. Zbl 0843.90088
Poljak, S.; Rendl, F.; Wolkowicz, H.
1995
Two-phases method and branch and bound procedures to solve the bi-objective knapsack problem. Zbl 0908.90191
Visée, M.; Teghem, J.; Pirlot, M.; Ulungu, E. L.
1998
Global optimization of stochastic black-box systems via sequential kriging meta-models. Zbl 1098.90097
Huang, D.; Allen, T. T.; Notz, W. I.; Zheng, N.
2006
The complexity analysis of the inverse center location problem. Zbl 0978.90065
Cai, M. C.; Yang, X. G.; Zhang, J. Z.
1999
Parametric simplex algorithms for solving a special class of nonconvex minimization problems. Zbl 0746.90056
Konno, Hiroshi; Yajima, Yasutoshi; Matsui, Tomomi
1991
On an elliptic Kirchhoff-type problem depending on two parameters. Zbl 1192.49007
Ricceri, Biagio
2010
A convex envelope formula for multilinear functions. Zbl 0881.90099
Rikun, Anatoliy D.
1997
The system of generalized vector equilibrium problems with applications. Zbl 1041.90069
Ansari, Qamrul Hasan; Schaible, Siegfried; Yao, Jen-Chih
2002
An approach for strategic supply chain planning under uncertainty based on stochastic 0-1 programming. Zbl 1116.90383
Alonso-Ayuso, A.; Escudero, L. F.; Garín, A.; Ortuño, M. T.; Pérez, G.
2003
On copositive programming and standard quadratic optimization problems. Zbl 0970.90057
Bomze, Immanuel M.; Dür, Mirjam; de Klerk, Etienne; Roos, Cornelis; Quist, Arie J.; Terlaky, Tamás
2000
A branch-and-bound algorithm for maximizing the sum of several linear ratios. Zbl 1045.90071
Kuno, Takahito
2002
A locally-biased form of the DIRECT algorithm. Zbl 1039.90049
Gablonsky, J. M.; Kelley, C. T.
2001
A hybrid method without extrapolation step for solving variational inequality problems. Zbl 1366.47018
Malitsky, Yu. V.; Semenov, V. V.
2015
Best proximity points: Global optimal approximate solutions. Zbl 1208.90128
2011
Exceptional families, topological degree and complementarity problems. Zbl 0880.90127
Isac, G.; Bulavski, V.; Kalashnikov, V.
1997
Efficiency conditions and duality for a class of multiobjective fractional programming problems. Zbl 1106.90066
Liang, Zhi-An; Huang, Hong-Xuan; Pardalos, Panos M.
2003
Continuity of solution maps of parametric quasiequilibrium problems. Zbl 1187.90284
Anh, Lam Quoc; Khanh, Phan Quoc
2010
Finding all solutions of nonlinearly constrained systems of equations. Zbl 0841.90115
Maranas, Costas D.; Floudas, Christodoulos A.
1995
A reformulation-convexification approach for solving nonconvex quadratic programming problems. Zbl 0844.90064
Sherali, Hanif D.; Tuncbilek, Cihan H.
1995
An electromagnetism-like mechanism for global optimization. Zbl 1047.90045
Birbil, Ş. İlker; Fang, Shu-Cherng
2003
A multi-stage stochastic integer programming approach for capacity expansion under uncertainty. Zbl 1116.90382
Ahmed, Shabbir; King, Alan J.; Parija, Gyana
2003
$$NP$$-hardness of linear multiplicative programming and related problems. Zbl 0868.90111
Matsui, T.
1996
Proximal methods for a class of bilevel monotone equilibrium problems. Zbl 1190.90125
Moudafi, Abdellatif
2010
Dual extragradient algorithms extended to equilibrium problems. Zbl 1258.90088
Quoc, Tran D.; Anh, Pham N.; Muu, Le D.
2012
Semidefinite relaxations of fractional programs via novel convexification techniques. Zbl 1001.90064
Tawarmalani, Mohit; Sahinidis, Nikolaos V.
2001
Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems. Zbl 1165.49009
Kimura, Kenji; Yao, Jen-Chih
2008
On standard quadratic optimization problems. Zbl 0916.90214
Bomze, Immanuel M.
1998
Weak via strong Stackelberg problem: New results. Zbl 0861.90151
Loridan, Pierre; Morgan, Jacqueline
1996
A note on equilibrium problems with properly quasimonotone bifunctions. Zbl 0985.90090
Bianchi, M.; Pini, R.
2001
Inertial projection and contraction algorithms for variational inequalities. Zbl 1390.90568
Dong, Q. L.; Cho, Y. J.; Zhong, L. L.; Rassias, Th. M.
2018
A particle swarm pattern search method for bound constrained global optimization. Zbl 1180.90252
Vaz, A. Ismael F.; Vicente, Luís N.
2007
Filled functions for unconstrained global optimization. Zbl 1049.90092
Xu, Zheng; Huang, Hong-Xuan; Pardalos, Panos M.; Xu, Cheng-Xian
2001
A new filled function method for global optimization. Zbl 1061.90109
Zhang, Liansheng; Ng, Chikong; Li, Duan; Tian, Weiwen
2004
Solving the sum-of-ratios problem by an interior-point method. Zbl 1168.90644
Freund, Roland W.; Jarre, Florian
2001
GLOMIQO: global mixed-integer quadratic optimizer. Zbl 1272.90034
Misener, Ruth; Floudas, Christodoulos A.
2013
Generalized invexity and duality in multiobjective programming problems. Zbl 0970.90087
Aghezzaf, Brahim; Hachimi, Mohamed
2000
Gap functions and existence of solutions to generalized vector quasi-equilibrium problems. Zbl 1090.49014
Li, S. J.; Teo, K. L.; Yang, X. Q.; Wu, S. Y.
2006
Constrained global optimization of expensive black box functions using radial basis functions. Zbl 1274.90511
Regis, Rommel G.; Shoemaker, Christine A.
2005
Well-posedness for optimization problems with constraints defined by variational inequalities having a unique solution. Zbl 0960.90079
Lignola, M. Beatrice; Morgan, Jacqueline
2000
Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes. Zbl 1085.90047
Meyer, Clifford A.; Floudas, Christodoulos A.
2004
Augmented Lagrangian duality and nondifferentiable optimization methods in nonconvex programming. Zbl 1047.90048
Gasimov, Rafail N.
2002
On the stability of the linear functional equation in a single variable on complete metric groups. Zbl 1295.33004
Jung, Soon-Mo; Popa, Dorian; Rassias, Michael
2014
Global minimum potential energy conformations of small molecules. Zbl 0797.90114
Maranas, Costas D.; Floudas, Christodoulos A.
1994
Optimization over the efficient set: overview. Zbl 1045.90061
Yamamoto, Yoshitsugu
2002
Singularities of monotone vector fields and an extragradient-type algorithm. Zbl 1229.58007
Ferreira, O. P.; Lucambio Pérez, L. R.; Néth, S. Z.
2005
Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces. Zbl 1156.90025
Anh, Lam Quoc; Khanh, Phan Quoc
2007
Evolution towards the maximum clique. Zbl 0880.90110
Bomze, Immanuel M.
1997
Some geometric results in semidefinite programming. Zbl 0839.90093
Ramana, Motakuri; Goldman, A. J.
1995
Convex- and monotone-transformable mathematical programming problems and a proximal-like point method. Zbl 1104.90035
da Cruz Neto, J. X.; Ferreira, O. P.; Lucambio Pérez, L. R.; Németh, S. Z.
2006
Global optimization of multiplicative programs. Zbl 1052.90091
Ryoo, Hong-Seo; Sahinidis, Nikolaos V.
2003
Hunting for a smaller convex subdifferential. Zbl 0872.90083
Demyanov, V. F.; Jeyakumar, V.
1997
On vector variational inequalities in reflexive Banach spaces. Zbl 1097.49009
Huang, Nan-Jing; Fang, Ya-Ping
2005
Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search. Zbl 1157.90535
Audet, Charles; Béchard, Vincent; Le Digabel, Sébastien
2008
Two-step projection methods for a system of variational inequality problems in Banach spaces. Zbl 1260.47085
Yao, Yonghong; Liou, Yeong-Cheng; Kang, Shin Min
2013
An efficient branch-and-bound algorithm for finding a maximum clique with computational experiments. Zbl 1127.90079
Tomita, Etsuji; Kameda, Toshikatsu
2007
A branch and bound method via d. c. optimization algorithms and ellipsoidal technique for box constrained nonconvex quadratic problems. Zbl 0912.90233
Le Thi Hoai An; Pham Dinh Tao
1998
Proximal point methods and nonconvex optimization. Zbl 0916.90224
Kaplan, A.; Tichatschke, R.
1998
Well-posedness of mixed variational inequalities, inclusion problems and fixed point problems. Zbl 1149.49009
Fang, Ya-Ping; Huang, Nan-Jing; Yao, Jen-Chih
2008
Modified projection method for strongly pseudomonotone variational inequalities. Zbl 1454.47095
Pham Duy Khanh; Phan Tu Vuong
2014
Deterministic global optimization in nonlinear optimal control problems. Zbl 0980.49027
Esposito, William R.; Floudas, Christodoulos A.
2000
Image space analysis of generalized fractional programs. Zbl 0809.90121
Falk, James E.; Palocsay, Susan W.
1994
Paired-domination of trees. Zbl 1013.05055
Qiao, Hong; Kang, Liying; Cardei, Mihaela; Du, Ding-Zhu
2003
Globally-biased disimpl algorithm for expensive global optimization. Zbl 1297.90130
Paulavičius, Remigijus; Sergeyev, Yaroslav D.; Kvasov, Dmitri E.; Žilinskas, Julius
2014
An all-linear programming relaxation algorithm for optimizing over the efficient set. Zbl 0739.90056
Benson, Harold P.
1991
Simulated annealing for constrained global optimization. Zbl 0819.90103
Romeijn, H. Edwin; Smith, Robert L.
1994
Discrete-time indefinite LQ control with state and control dependent noises. Zbl 1035.49024
Rami, M. Ait; Chen, X.; Zhou, X. Y.
2002
Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems. Zbl 1275.90102
Ceng, Lu-Chuan; Ansari, Qamrul Hasan; Schaible, Siegfried
2012
On the search of the shape parameter in radial basis functions using univariate global optimization methods. Zbl 07340746
Cavoretto, R.; De Rossi, A.; Mukhametzhanov, M. S.; Sergeyev, Ya. D.
2021
Karush-Kuhn-Tucker type optimality condition for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential. Zbl 07340740
Suzuki, Satoshi
2021
Sequential model based optimization of partially defined functions under unknown constraints. Zbl 1465.90068
Antonio, Candelieri
2021
Cooperative multiobjective optimization with bounds on objective functions. Zbl 1465.90093
Kaliszewski, I.; Miroforidis, J.
2021
General splitting methods with linearization for the split feasibility problem. Zbl 07340875
Dong, Qiao-Li; He, Songnian; Rassias, Michael Th.
2021
The DIRECT algorithm: 25 years later. Zbl 1466.90076
Jones, Donald R.; Martins, Joaquim R. R. A.
2021
The lower bounded inverse optimal value problem on minimum spanning tree under unit $$l_{\infty}$$ norm. Zbl 1466.90118
Zhang, Binwu; Guan, Xiucui; Pardalos, Panos M.; Wang, Hui; Zhang, Qiao; Liu, Yan; Chen, Shuyi
2021
Solving $$k$$-center problems involving sets based on optimization techniques. Zbl 1439.49026
An, Nguyen Thai; Nam, Nguyen Mau; Qin, Xiaolong
2020
The seeding algorithms for spherical $$k$$-means clustering. Zbl 1441.90138
Li, Min; Xu, Dachuan; Zhang, Dongmei; Zou, Juan
2020
An exact completely positive programming formulation for the discrete ordered median problem: an extended version. Zbl 1442.90132
Puerto, J.
2020
An enhanced formulation for solving graph coloring problems with the Douglas-Rachford algorithm. Zbl 07195880
Artacho, Francisco J. Aragón; Campoy, Rubén; Elser, Veit
2020
Solution maps of polynomial variational inequalities. Zbl 1458.14064
Hieu, Vu Trung
2020
Sparse solutions of optimal control via Newton method for under-determined systems. Zbl 1437.49043
Polyak, Boris; Tremba, Andrey
2020
Convexifications of rank-one-based substructures in QCQPs and applications to the pooling problem. Zbl 1464.90048
Dey, Santanu S.; Kocuk, Burak; Santana, Asteroide
2020
Accelerated sampling Kaczmarz Motzkin algorithm for the linear feasibility problem. Zbl 1442.90123
Morshed, Md Sarowar; Islam, Md Saiful; Noor-E-Alam, Md.
2020
Subset selection for multiple linear regression via optimization. Zbl 1445.62173
Park, Young Woong; Klabjan, Diego
2020
Damped Newton’s method on Riemannian manifolds. Zbl 1453.90161
Bortoloti, Marcio Antônio de A.; Fernandes, Teles A.; Ferreira, Orizon P.; Yuan, Jinyun
2020
Delaunay-based derivative-free optimization via global surrogates. III: nonconvex constraints. Zbl 1447.90035
Alimo, Ryan; Beyhaghi, Pooriya; Bewley, Thomas R.
2020
Solving polyhedral d.c. optimization problems via concave minimization. Zbl 07247294
vom Dahl, Simeon; Löhne, Andreas
2020
A difference-of-convex approach for split feasibility with applications to matrix factorizations and outlier detection. Zbl 1450.90031
Chen, Chen; Pong, Ting Kei; Tan, Lulin; Zeng, Liaoyuan
2020
Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs. Zbl 1447.49031
Xu, Mengwei; Ye, Jane J.
2020
On the choice of the low-dimensional domain for global optimization via random embeddings. Zbl 1440.90051
Binois, Mickaël; Ginsbourger, David; Roustant, Olivier
2020
An optimization-diversification approach to portfolio selection. Zbl 1440.90030
Cesarone, Francesco; Scozzari, Andrea; Tardella, Fabio
2020
Preference-based evolutionary multi-objective optimization for portfolio selection: a new credibilistic model under investor preferences. Zbl 1440.90068
Ruiz, Ana B.; Saborido, Rubén; Bermúdez, José D.; Luque, Mariano; Vercher, Enriqueta
2020
A Euclidean distance matrix model for protein molecular conformation. Zbl 1436.90112
Zhai, Fengzhen; Li, Qingna
2020
Non-submodular maximization on massive data streams. Zbl 1441.90130
Wang, Yijing; Xu, Dachuan; Wang, Yishui; Zhang, Dongmei
2020
A class of exact penalty functions and penalty algorithms for nonsmooth constrained optimization problems. Zbl 07181871
Liu, Qian; Xu, Yuqing; Zhou, Yang
2020
A Gauss-Seidel type inertial proximal alternating linearized minimization for a class of nonconvex optimization problems. Zbl 07181876
Gao, Xue; Cai, Xingju; Han, Deren
2020
Consistency bounds and support recovery of d-stationary solutions of sparse sample average approximations. Zbl 1465.90067
Ahn, Miju
2020
Gaussian process optimization with failures: classification and convergence proof. Zbl 07340607
Bachoc, François; Helbert, Céline; Picheny, Victor
2020
Expected improvement for expensive optimization: a review. Zbl 1465.90104
Zhan, Dawei; Xing, Huanlai
2020
Refugee migration networks and regulations: a multiclass, multipath variational inequality framework. Zbl 1466.91232
Nagurney, Anna; Daniele, Patrizia; Nagurney, Ladimer S.
2020
Fast algorithms for sparse portfolio selection considering industries and investment styles. Zbl 1466.91282
Dong, Zhi-Long; Xu, Fengmin; Dai, Yu-Hong
2020
An algorithmic approach to multiobjective optimization with decision uncertainty. Zbl 1464.90087
Eichfelder, Gabriele; Niebling, Julia; Rocktäschel, Stefan
2020
The decomposition-based outer approximation algorithm for convex mixed-integer nonlinear programming. Zbl 1441.90100
Muts, Pavlo; Nowak, Ivo; Hendrix, Eligius M. T.
2020
On ill-posedness and stability of tensor variational inequalities: application to an economic equilibrium. Zbl 1443.47013
Barbagallo, Annamaria; Bianco, Serena Guarino Lo
2020
Cooperation in dynamic multicriteria games with random horizons. Zbl 1437.91088
Rettieva, Anna N.
2020
Scheduling problems with controllable processing times and a common deadline to minimize maximum compression cost. Zbl 1437.90142
Shioura, Akiyoshi; Shakhlevich, Natalia V.; Strusevich, Vitaly A.
2020
The maximum independent union of cliques problem: complexity and exact approaches. Zbl 1448.90093
Ertem, Zeynep; Lykhovyd, Eugene; Wang, Yiming; Butenko, Sergiy
2020
Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps. Zbl 1448.90082
Sisarat, Nithirat; Wangkeeree, Rabian; Tanaka, Tamaki
2020
Approximation algorithms for capacitated partial inverse maximum spanning tree problem. Zbl 1442.90196
Li, Xianyue; Zhang, Zhao; Yang, Ruowang; Zhang, Heping; Du, Ding-Zhu
2020
Linear conditioning, weak sharpness and finite convergence for equilibrium problems. Zbl 1442.90189
Nguyen, Luong Van; Ansari, Qamrul Hasan; Qin, Xiaolong
2020
Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization. Zbl 1453.90128
Kanzi, Nader; Soleimani-Damaneh, Majid
2020
A mixed integer programming approach to the tensor complementarity problem. Zbl 1425.90072
Du, Shouqiang; Zhang, Liping
2019
Proximal bundle methods for nonsmooth DC programming. Zbl 1428.90130
de Oliveira, Welington
2019
MiKM: multi-step inertial Krasnosel’skiǐ-Mann algorithm and its applications. Zbl 1422.90069
Dong, Q. L.; Huang, J. Z.; Li, X. H.; Cho, Y. J.; Rassias, Th. M.
2019
A Lyapunov-type approach to convergence of the Douglas-Rachford algorithm for a nonconvex setting. Zbl 1417.90118
Dao, Minh N.; Tam, Matthew K.
2019
Mixed integer quadratic optimization formulations for eliminating multicollinearity based on variance inflation factor. Zbl 1421.90093
Tamura, Ryuta; Kobayashi, Ken; Takano, Yuichi; Miyashiro, Ryuhei; Nakata, Kazuhide; Matsui, Tomomi
2019
On the spherical convexity of quadratic functions. Zbl 1434.90133
Ferreira, O. P.; Németh, S. Z.
2019
Packing ellipses in an optimized convex polygon. Zbl 1429.90065
Pankratov, A.; Romanova, T.; Litvinchev, I.
2019
A topological convergence on power sets well-suited for set optimization. Zbl 1417.49017
Geoffroy, Michel H.
2019
Lifted polymatroid inequalities for mean-risk optimization with indicator variables. Zbl 1422.90024
Atamtürk, Alper; Jeon, Hyemin
2019
A subgradient algorithm for a class of nonlinear split feasibility problems: application to jointly constrained Nash equilibrium models. Zbl 1423.90258
Yen, Le Hai; Huyen, Nguyen Thi Thanh; Muu, Le Dung
2019
On the hierarchical structure of Pareto critical sets. Zbl 1422.90049
Gebken, Bennet; Peitz, Sebastian; Dellnitz, Michael
2019
Application of the DIRECT algorithm to searching for an optimal $$k$$-partition of the set $$\mathcal {A}\subset \mathbb {R}^n$$ and its application to the multiple circle detection problem. Zbl 1461.65185
Scitovski, Rudolf; Sabo, Kristian
2019
When is there a representer theorem?. When is there a representer theorem?, nondifferentiable regularisers and Banach spaces. Zbl 07069309
Schlegel, Kevin
2019
Facets of a mixed-integer bilinear covering set with bounds on variables. Zbl 1426.90192
Rahman, Hamidur; Mahajan, Ashutosh
2019
The weighted horizontal linear complementarity problem on a Euclidean Jordan algebra. Zbl 1425.90118
Chi, Xiaoni; Gowda, M. Seetharama; Tao, Jiyuan
2019
Nonmonotone line searches for unconstrained multiobjective optimization problems. Zbl 1428.90155
Mita, Kanako; Fukuda, Ellen H.; Yamashita, Nobuo
2019
Discretization-based algorithms for generalized semi-infinite and bilevel programs with coupling equality constraints. Zbl 1428.90169
Djelassi, Hatim; Glass, Moll; Mitsos, Alexander
2019
Novel self-adaptive algorithms for non-Lipschitz equilibrium problems with applications. Zbl 07058409
Anh, Pham Ky; Hai, Trinh Ngoc
2019
Bi-objective decision making in global optimization based on statistical models. Zbl 1432.90128
Žilinskas, Antanas; Calvin, James
2019
An adaptive, multivariate partitioning algorithm for global optimization of nonconvex programs. Zbl 1429.90056
Nagarajan, Harsha; Lu, Mowen; Wang, Site; Bent, Russell; Sundar, Kaarthik
2019
A unified minimal solution in set optimization. Zbl 1423.90243
Khushboo; Lalitha, C. S.
2019
A projection-based reformulation and decomposition algorithm for global optimization of a class of mixed integer bilevel linear programs. Zbl 1417.90106
Yue, Dajun; Gao, Jiyao; Zeng, Bo; You, Fengqi
2019
Coherent weights for pairwise comparison matrices and a mixed-integer linear programming problem. Zbl 1429.90040
Cavallo, Bice
2019
Efficient global optimization of constrained mixed variable problems. Zbl 1420.90051
Pelamatti, Julien; Brevault, Loïc; Balesdent, Mathieu; Talbi, El-Ghazali; Guerin, Yannick
2019
Parametric monotone function maximization with matroid constraints. Zbl 1432.90133
Gong, Suning; Nong, Qingqin; Liu, Wenjing; Fang, Qizhi
2019
On tightness and anchoring of McCormick and other relaxations. Zbl 1425.49014
Najman, Jaromił; Mitsos, Alexander
2019
Generalized forward-backward splitting with penalization for monotone inclusion problems. Zbl 07069287
Nimana, Nimit; Petrot, Narin
2019
Properties of the nonlinear scalar functional and its applications to vector optimization problems. Zbl 1425.90103
Gao, Ying; Yang, Xin-Min
2019
The Douglas-Rachford algorithm for a hyperplane and a doubleton. Zbl 07069295
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B.
2019
Necessary optimality conditions for a nonsmooth semi-infinite programming problem. Zbl 1461.90156
2019
Proximal bundle methods based on approximate subgradients for solving Lagrangian duals of minimax fractional programs. Zbl 1423.90252
Boualam, H.; Roubi, A.
2019
Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems. Zbl 1440.90081
Hai, L. P.; Huerga, L.; Khanh, P. Q.; Novo, V.
2019
Multi-parametric global optimization approach for tri-level mixed-integer linear optimization problems. Zbl 1432.90088
Avraamidou, Styliani; Pistikopoulos, Efstratios N.
2019
Large proper gaps in bin packing and dual bin packing problems. Zbl 1425.90095
Kartak, Vadim M.; Ripatti, Artem V.
2019
Spectral projected gradient method for stochastic optimization. Zbl 1417.90109
Krejić, Nataša; Krklec Jerinkić, Nataša
2019
Global optimization issues in deep network regression: an overview. Zbl 1421.90154
Palagi, Laura
2019
A unified DC programming framework and efficient DCA based approaches for large scale batch reinforcement learning. Zbl 1434.90159
Thi, Hoai An Le; Ho, Vinh Thanh; Dinh, Tao Pham
2019
Iteration-complexity analysis of a generalized alternating direction method of multipliers. Zbl 07052832
Adona, V. A.; Gonçalves, M. L. N.; Melo, J. G.
2019
A sensitive-eigenvector based global algorithm for quadratically constrained quadratic programming. Zbl 1421.90106
Lu, Cheng; Deng, Zhibin; Zhou, Jing; Guo, Xiaoling
2019
Well-posedness and scalarization in set optimization involving ordering cones with possibly empty interior. Zbl 1411.49009
Gupta, Meenakshi; Srivastava, Manjari
2019
Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems. Zbl 1435.90125
Constantin, Elena
2019
Quasi-equilibrium problems with non-self constraint map. Zbl 1431.49005
Cotrina, John; Zúñiga, Javier
2019
Revisiting norm optimization for multi-objective black-box problems: a finite-time analysis. Zbl 1420.90063
Al-Dujaili, Abdullah; Suresh, S.
2019
Tighter McCormick relaxations through subgradient propagation. Zbl 1429.49033
Najman, Jaromił; Mitsos, Alexander
2019
A joint decomposition method for global optimization of multiscenario nonconvex mixed-integer nonlinear programs. Zbl 1432.90092
Ogbe, Emmanuel; Li, Xiang
2019
Sharp upper and lower bounds for maximum likelihood solutions to random Gaussian bilateral inequality systems. Zbl 1433.90094
Minoux, Michel; Zorgati, Riadh
2019
Generalized polyhedral convex optimization problems. Zbl 1436.90152
Luan, Nguyen Ngoc; Yao, Jen-Chih
2019
Surrogate-assisted bounding-box approach for optimization problems with tunable objectives fidelity. Zbl 1432.90097
Rivier, M.; Congedo, P. M.
2019
Approximation algorithm for the partial set multi-cover problem. Zbl 1433.90144
Shi, Yishuo; Ran, Yingli; Zhang, Zhao; Willson, James; Tong, Guangmo; Du, Ding-Zhu
2019
Tuning BARON using derivative-free optimization algorithms. Zbl 1428.90135
Liu, Jianfeng; Ploskas, Nikolaos; Sahinidis, Nikolaos V.
2019
A multi-term, polyhedral relaxation of a 0-1 multilinear function for Boolean logical pattern generation. Zbl 1434.90093
Yan, Kedong; Ryoo, Hong Seo
2019
Geometric conditions of reduction of exhausters. Zbl 1425.49006
Abbasov, Majid E.
2019
On the chance-constrained minimum spanning $$k$$-core problem. Zbl 1428.90172
Ma, Juan; Balasundaram, Balabhaskar
2019
Joint production and transportation scheduling in flexible manufacturing systems. Zbl 1429.90042
Fontes, Dalila B. M. M.; Homayouni, Seyed Mahdi
2019
Local search approximation algorithms for the sum of squares facility location problems. Zbl 1426.90183
Zhang, Dongmei; Xu, Dachuan; Wang, Yishui; Zhang, Peng; Zhang, Zhenning
2019
Packing circles into perimeter-minimizing convex hulls. Zbl 1422.90045
Kallrath, Josef; Frey, Markus M.
2019
On the complexity of quasiconvex integer minimization problem. Zbl 1423.90148
Chirkov, A. Yu.; Gribanov, D. V.; Malyshev, D. S.; Pardalos, P. M.; Veselov, S. I.; Zolotykh, N. Yu.
2019
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#### Cited by 15,043 Authors

 128 Yao, Jen-Chih 101 Pardalos, Panos M. 99 Huang, Nan-Jing 75 Ceng, Lu-Chuan 73 Le Thi, Hoai An 68 Phan Quôc Khánh 54 Ansari, Qamrul Hasan 54 Cho, Yeol Je 54 Pham Dinh Tao 54 Shehu, Yekini 51 Locatelli, Marco 50 Kumam, Poom 50 Liberti, Leo 48 Qi, Liqun 47 Noor, Muhammad Aslam 47 Wen, Chingfeng 46 Jeyakumar, Vaithilingam 44 Floudas, Christodoulos Achilleus 44 Teo, Kok Lay 43 Anh, Lam Quoc 42 Li, Duan 41 Wu, Zhiyou 41 Yang, Xiaoqi 40 Dang Van Hieu 40 Dempe, Stephan 39 Lavor, Carlile Campos 39 Lin, Lai-Jiu 39 Liu, Sanyang 39 Shen, Peiping 39 Wan, Zhongping 39 Yang, Xinmin 38 Sherali, Hanif D. 37 Liou, Yeongcheng 36 Bomze, Immanuel M. 36 Lee, Gue Myung 36 Li, Shengjie 36 Migórski, Stanisław 35 Chuong, Thai Doan 35 Jayswal, Anurag 34 Audet, Charles 34 Barton, Paul I. 34 Escudero, Laureano Fernando 34 Gao, David Yang 34 Sahinidis, Nikolaos V. 34 Wangkeeree, Rabian 33 Chen, Jein-Shan 33 Muu, Le Dung 32 Antczak, Tadeusz 32 Dong, Qiaoli 32 Dương Việt Thông 32 Martínez, José Mario 31 Fang, Shu-Cherng 31 Huang, Zheng-Hai 31 Júdice, Joaquim João 31 Mohebi, Hossein 31 Xia, Yong 31 Nguyen Dong Yen 30 Carrizosa, Emilio 30 Iusem, Alfredo Noel 30 Pham Ngoc Anh 30 Yao, Yonghong 29 Bagirov, Adil M. 29 Fang, Yaping 29 Hansen, Pierre 29 Liu, Zhenhai 29 Mishra, Shashi Kant 29 Papageorgiou, Nikolaos S. 28 Chen, Jiawei 28 Cholamjiak, Prasit 28 Gadhi, Nazih Abderrazzak 28 Novo-Sanjurjo, Vicente 28 Sergeev, Yaroslav Dmitrievich 28 Tuy, Hoang 27 Martí, Rafael 26 Benson, Harold P. 26 Kim, Do Sang 26 Wu, Soon-Yi 26 Xiao, Yibin 26 Zhang, Liansheng 26 Zhang, Zhao 25 Drezner, Zvi 25 Ferreira, Orizon Pereira 25 Goberna, Miguel Angel 25 Hu, Rong 25 Noor, Khalida Inayat 25 Resende, Mauricio G. C. 25 Xu, Dachuan 25 Zeng, Shengda 24 Ding, Xie Ping 24 Durea, Marius 24 Nguyen van Thoai 24 Wu, Weili 23 Birgin, Ernesto G. 23 Ehrgott, Matthias 23 Figueira, José Rui 23 Gasiński, Leszek 23 Jiao, Hongwei 23 Li, Jun 23 Mitsos, Alexander 23 Mladenović, Nenad ...and 14,943 more Authors
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#### Cited in 669 Journals

 1,465 Journal of Global Optimization 812 European Journal of Operational Research 772 Journal of Optimization Theory and Applications 509 Optimization 464 Optimization Letters 424 Computers & Operations Research 354 Applied Mathematics and Computation 324 Computational Optimization and Applications 287 Mathematical Programming. Series A. Series B 259 Annals of Operations Research 236 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 191 Journal of Inequalities and Applications 176 Optimization Methods & Software 170 Journal of Mathematical Analysis and Applications 170 Abstract and Applied Analysis 169 Fixed Point Theory and Applications 168 Journal of Computational and Applied Mathematics 161 SIAM Journal on Optimization 152 Mathematical Problems in Engineering 130 Numerical Functional Analysis and Optimization 126 Journal of Industrial and Management Optimization 117 Journal of Combinatorial Optimization 112 Operations Research Letters 109 Discrete Applied Mathematics 106 Computers & Mathematics with Applications 106 Information Sciences 103 Optimization and Engineering 99 Applied Mathematical Modelling 91 Journal of Applied Mathematics 89 Top 85 Mathematical Methods of Operations Research 84 INFORMS Journal on Computing 79 Positivity 78 Numerical Algorithms 72 Theoretical Computer Science 70 Automatica 70 International Transactions in Operational Research 68 Set-Valued and Variational Analysis 64 Linear Algebra and its Applications 61 Journal of Fixed Point Theory and Applications 57 CEJOR. Central European Journal of Operations Research 53 Applicable Analysis 52 4OR 51 Computer Methods in Applied Mechanics and Engineering 51 Computational and Applied Mathematics 50 Asia-Pacific Journal of Operational Research 46 Applied Mathematics Letters 45 Opsearch 44 Journal of Applied Mathematics and Computing 43 RAIRO. Operations Research 42 Journal of the Operations Research Society of China 41 Algorithms 39 Operations Research 39 Mathematical Programming Computation 38 Cybernetics and Systems Analysis 37 Discrete Optimization 35 International Journal of Production Research 34 Mathematical and Computer Modelling 34 Computational Statistics and Data Analysis 34 Journal of Systems Science and Complexity 34 Journal of Nonlinear Science and Applications 32 International Journal of Computer Mathematics 32 Vietnam Journal of Mathematics 32 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 31 Computational Management Science 30 Journal of Scheduling 30 Discrete Dynamics in Nature and Society 29 Journal of the Franklin Institute 29 Acta Mathematicae Applicatae Sinica. English Series 29 Soft Computing 28 Journal of Heuristics 26 Fuzzy Sets and Systems 26 Numerical Algebra, Control and Optimization 25 Nonlinear Analysis. Real World Applications 25 Journal of Nonlinear and Variational Analysis 24 Acta Mathematica Vietnamica 24 Mathematics and Computers in Simulation 24 Mathematics of Operations Research 24 Applied Numerical Mathematics 24 Automation and Remote Control 24 Journal of Function Spaces 23 SIAM Journal on Control and Optimization 23 SIAM Journal on Scientific Computing 23 OR Spectrum 23 Structural and Multidisciplinary Optimization 23 EURO Journal on Computational Optimization 22 International Journal of Control 22 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 21 Communications in Nonlinear Science and Numerical Simulation 21 SIAM/ASA Journal on Uncertainty Quantification 20 International Journal of Applied Mathematics and Computer Science 19 Information Processing Letters 19 Applied Mathematics and Optimization 19 Journal of Convex Analysis 17 Artificial Intelligence 17 Journal of Scientific Computing 17 Set-Valued Analysis 17 Networks and Spatial Economics 17 Discrete Mathematics, Algorithms and Applications 17 Open Mathematics ...and 569 more Journals
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#### Cited in 61 Fields

 9,644 Operations research, mathematical programming (90-XX) 2,550 Calculus of variations and optimal control; optimization (49-XX) 1,924 Numerical analysis (65-XX) 1,365 Operator theory (47-XX) 939 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 893 Computer science (68-XX) 501 Systems theory; control (93-XX) 499 Statistics (62-XX) 367 Partial differential equations (35-XX) 318 Combinatorics (05-XX) 263 Functional analysis (46-XX) 259 Biology and other natural sciences (92-XX) 248 Linear and multilinear algebra; matrix theory (15-XX) 238 Real functions (26-XX) 236 Mechanics of deformable solids (74-XX) 209 General topology (54-XX) 205 Ordinary differential equations (34-XX) 194 Convex and discrete geometry (52-XX) 178 Global analysis, analysis on manifolds (58-XX) 172 Probability theory and stochastic processes (60-XX) 109 Information and communication theory, circuits (94-XX) 93 Approximations and expansions (41-XX) 75 Dynamical systems and ergodic theory (37-XX) 70 Difference and functional equations (39-XX) 70 Fluid mechanics (76-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 48 Mechanics of particles and systems (70-XX) 45 Algebraic geometry (14-XX) 45 Quantum theory (81-XX) 37 Geometry (51-XX) 36 Differential geometry (53-XX) 36 Geophysics (86-XX) 31 Optics, electromagnetic theory (78-XX) 27 Commutative algebra (13-XX) 25 General and overarching topics; collections (00-XX) 24 Statistical mechanics, structure of matter (82-XX) 22 Mathematical logic and foundations (03-XX) 22 Measure and integration (28-XX) 21 Number theory (11-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 18 Classical thermodynamics, heat transfer (80-XX) 15 Field theory and polynomials (12-XX) 15 Integral equations (45-XX) 13 History and biography (01-XX) 12 Algebraic topology (55-XX) 11 Nonassociative rings and algebras (17-XX) 11 Integral transforms, operational calculus (44-XX) 10 Manifolds and cell complexes (57-XX) 7 Topological groups, Lie groups (22-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Group theory and generalizations (20-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 4 Potential theory (31-XX) 4 Sequences, series, summability (40-XX) 2 General algebraic systems (08-XX) 2 Associative rings and algebras (16-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX)