# zbMATH — the first resource for mathematics

## 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: 1,818 Publications (since 1992) References Indexed: 1,445 Publications with 45,954 References.
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#### Latest Issues

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#### Authors

 20 Solodov, Mikhail V. 19 Kanzow, Christian 18 Qi, Liqun 17 Fukushima, Masao 17 Locatelli, Marco 17 Lucidi, Stefano 16 Hager, William W. 15 Pardalos, Panos M. 15 Sciandrone, Marco 15 Tröltzsch, Fredi 14 Yuan, Xiaoming 13 Gondzio, Jacek 13 Izmailov, Alekseĭ F. 13 Liuzzi, Giampaolo 13 Martínez, José Mario 11 Birgin, Ernesto G. 11 Chen, Jein-Shan 11 Coleman, Thomas F. 11 Kunisch, Karl 11 Pong, Ting Kei 11 Schoen, Fabio 10 He, Bingsheng 10 Hinze, Michael 10 Monteiro, Renato D. C. 10 Rösch, Arnd 10 Sherali, Hanif D. 10 Zhang, Hongchao 9 Mangasarian, Olvi L. 9 Pang, Jong-Shi 8 Casas, Eduardo 8 Chen, Xiaojun 8 Fan, Jinyan 8 Huang, Zheng-Hai 8 Jacobson, Sheldon H. 8 Júdice, Joaquim João 8 Konno, Hiroshi 8 Leyffer, Sven 8 Morini, Benedetta 8 Rinaldi, Francesco 8 Roma, Massimo 8 Santos, Sandra Augusta 8 Sun, Jie 8 Toint, Philippe L. 8 Volkwein, Stefan 8 Wolkowicz, Henry 7 Bertsekas, Dimitri Panteli 7 Biegler, Lorenz T. 7 DiPillo, Gianni 7 Eckstein, Jonathan 7 Ferreira, Orizon Pereira 7 Fischer, Andreas M. 7 Hifi, Mhand 7 Mateos, Mariano 7 Pan, Shaohua 7 Shanno, David F. 7 Vicente, Luis Nunes 7 Wachsmuth, Daniel 7 Wright, Stephen J. 7 Wu, Soon-Yi 7 Xiu, Naihua 7 Yabe, Hiroshi 7 Yamashita, Nobuo 6 Bellavia, Stefania 6 Dai, Yu-Hong 6 Dostál, Zdeněk 6 Facchinei, Francisco 6 Gould, Nicholas Ian Mark 6 Gratton, Serge 6 Hintermüller, Michael 6 Kojima, Masakazu 6 Kuno, Takahito 6 Lucet, Yves 6 Marcotte, Patrice 6 Martí, Rafael 6 Mitchell, John E. 6 Murray, Walter 6 Petra, Cosmin G. 6 Piccialli, Veronica 6 Qi, Houduo 6 Raydan, Marcos 6 Sachs, Ekkehard W. 6 Sun, Defeng 6 Svaiter, Benar Fux 6 Tran Dinh Quoc 6 Tunçel, Levent 6 Vial, Jean-Philippe 6 Yang, Xiaoqi 6 Zhang, Jianzhong 5 Armand, Paul 5 Audet, Charles 5 Benson, Hande Y. 5 Burer, Samuel 5 Censor, Yair 5 Cerulli, Raffaele 5 Coope, Ian D. 5 Dang, Chuangyin 5 De Simone, Valentina 5 di Serafino, Daniela 5 Fasano, Giovanni 5 Haeser, Gabriel ...and 2,620 more Authors
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#### Fields

 1,612 Operations research, mathematical programming (90-XX) 330 Numerical analysis (65-XX) 297 Calculus of variations and optimal control; optimization (49-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 64 Partial differential equations (35-XX) 39 Computer science (68-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 30 Systems theory; control (93-XX) 24 Operator theory (47-XX) 24 Statistics (62-XX) 15 General and overarching topics; collections (00-XX) 15 Combinatorics (05-XX) 15 Biology and other natural sciences (92-XX) 11 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-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 Ordinary differential equations (34-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-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 Functional analysis (46-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

1,493 Publications have been cited 14,341 times in 9,589 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
An interior-point algorithm for nonconvex nonlinear programming. Zbl 1040.90564
Vanderbei, Robert J.; Shanno, David F.
1999
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
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
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
A logarithmic-quadratic proximal method for variational inequalities. Zbl 1039.90529
Auslender, Alfred; Teboulle, Marc; Ben-Tiba, Sami
1999
Elliptic optimal control problems with $$L^1$$-control cost and applications for the placement of control devices. Zbl 1185.49031
2009
Absolute value programming. Zbl 1278.90386
Mangasarian, Olvi L.
2007
Smoothing algorithms for complementarity problems over symmetric cones. Zbl 1198.90373
Huang, Zheng-Hai; Ni, Tie
2010
Large-scale active-set box-constrained optimization method with spectral projected gradients. Zbl 1031.90012
Birgin, Ernesto G.; Martínez, José Mario
2002
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
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
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
A projected gradient method for vector optimization problems. Zbl 1056.90126
Graña Drummond, L. M.; Iusem, A. N.
2004
Algorithm for cardinality-constrained quadratic optimization. Zbl 1178.90262
Bertsimas, Dimitris; Shioda, Romy
2009
Preconditioning indefinite systems in interior point methods for optimization. Zbl 1056.90137
Bergamaschi, Luca; Gondzio, Jacek; Zilli, Giovanni
2004
Primal-dual strategy for state-constrained optimal control problems. Zbl 1015.49026
Bergounioux, Maïtine; Kunisch, Karl
2002
Formulating an $$n$$-person noncooperative game as a tensor complementarity problem. Zbl 1393.90120
Huang, Zheng-Hai; Qi, Liqun
2017
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
Global convergence properties of nonlinear conjugate gradient methods with modified secant condition. Zbl 1056.90130
Yabe, Hiroshi; Takano, Masahiro
2004
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
Multiple centrality corrections in a primal-dual method for linear programming. Zbl 0860.90084
Gondzio, Jacek
1996
Cone-constrained eigenvalue problems: Theory and algorithms. Zbl 1193.65039
Pinto da Costa, A.; Seeger, A.
2010
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
Complementarity constraint qualifications and simplified $$B$$-stationary conditions for mathematical programs with equilibrium constraints. Zbl 1040.90560
Pang, Jong-Shi; Fukushima, Masao
1999
Decomposition algorithms for stochastic programming on a computational grid. Zbl 1094.90026
Linderoth, Jeff; Wright, Stephen
2003
Solving Euclidean distance matrix completion problems via semidefinite progrmming. Zbl 1040.90537
Alfakih, Abdo Y.; Khandani, Amir; Wolkowicz, Henry
1999
Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints. Zbl 1220.90136
Nabetani, Koichi; Tseng, Paul; Fukushima, Masao
2011
A survey of optimization by building and using probabilistic models. Zbl 0988.90052
Pelikan, Martin; Goldberg, David E.; Lobo, Fernando G.
2002
A new class of semismooth Newton-type methods for nonlinear complementarity problems. Zbl 0913.90250
Kanzow, Christian; Kleinmichel, Helmut
1998
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
Smoothing method for minimax problems. Zbl 1054.90087
Xu, Song
2001
On equivalent reformulations for absolute value equations. Zbl 1181.90263
Prokopyev, Oleg
2009
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
Optimal control of PDEs with regularized pointwise state constraints. Zbl 1103.90072
Meyer, Christian; Rösch, Arnd; Tröltzsch, Fredi
2006
Integrating SQP and branch-and-bound for mixed integer nonlinear programming. Zbl 1009.90074
Leyffer, Sven
2001
SSVM: A smooth support vector machine for classification. Zbl 1017.90105
Lee, Yuh-Jye; Mangasarian, O. L.
2001
Error estimates for the numerical approximation of boundary semilinear elliptic control problems. Zbl 1081.49023
Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi
2005
Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495
von Heusinger, Anna; Kanzow, Christian
2009
The superlinear convergence of a modified BFGS-type method for unconstrained optimization. Zbl 1070.90089
Wei, Zengxin; Yu, Gaohang; Yuan, Gonglin; Lian, Zhigang
2004
Scaled conjugate gradient algorithms for unconstrained optimization. Zbl 1168.90608
Andrei, Neculai
2007
Convexity of chance constraints with independent random variables. Zbl 1168.90568
Henrion, René; Strugarek, Cyrille
2008
Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Zbl 1183.65080
He, Bing-Sheng
2009
Modified two-point stepsize gradient methods for unconstrained optimization. Zbl 1008.90056
Dai, Yuhong; Yuan, Jinyun; Yuan, Ya-Xiang
2002
Relaxed steepest descent and Cauchy-Barzilai-Borwein method. Zbl 0988.90049
Raydan, Marcos; Svaiter, Benar F.
2002
Numerical comparison of augmented Lagrangian algorithms for nonconvex problems. Zbl 1101.90066
Birgin, E. G.; Castillo, R. A.; Martínez, J. M.
2005
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
A Frank–Wolfe type theorem for convex polynomial programs. Zbl 1029.90054
Belousov, Evgeny G.; Klatte, Diethard
2002
Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination. Zbl 1071.65085
Dostál, Zdeněk; Schöberl, Joachim
2005
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
The discretizable molecular distance geometry problem. Zbl 1259.90153
Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio
2012
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
2009
Multicategory classification by support vector machines. Zbl 1040.90574
Bredensteiner, Erin J.; Bennett, Kristin P.
1999
Zhou, Bin; Gao, Li; Dai, Yu-Hong
2006
A family of NCP functions and a descent method for the nonlinear complementarity problem. Zbl 1153.90542
Chen, Jein-Shan; Pan, Shaohua
2008
The eigenvalue complementarity problem. Zbl 1181.90261
Júdice, Joaquim J.; Sherali, Hanif D.; Ribeiro, Isabel M.
2007
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
A globally and quadratically convergent method for absolute value equations. Zbl 1230.90195
Caccetta, Louis; Qu, Biao; Zhou, Guanglu
2011
A feature selection Newton method for support vector machine classification. Zbl 1056.90103
Fung, Glenn M.; Mangasarian, O. L.
2004
A nonsmooth algorithm for cone-constrained eigenvalue problems. Zbl 1220.90128
2011
Convergence analysis of a modified BFGS method on convex minimizations. Zbl 1228.90077
Yuan, Gonglin; Wei, Zengxin
2010
A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046
De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian
2000
Stabilized sequential quadratic programming. Zbl 1040.90566
Hager, William W.
1999
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
A comparison of large scale mixed complementarity problem solvers. Zbl 0883.90116
Billups, Stephen C.; Dirkse, Steven P.; Ferris, Michael C.
1997
Sensitivity analysis for parametric control problems with control-state constraints. Zbl 0864.49020
Malanowski, Kazimierz; Maurer, Helmut
1996
An implementation of Shor’s $$r$$-algorithm. Zbl 0947.90112
Kappel, Franz; Kuntsevich, Alexei V.
2000
Interfaces to PATH 3.0: Design, implementation and usage. Zbl 1040.90549
Ferris, Michael C.; Munson, Todd S.
1999
A complete efficiency ranking of decision making units in data envelopment analysis. Zbl 0963.91021
Mehrabian, Saeid; Alirezaee, Mohammad R.; Jahanshahloo, Gholam R.
1999
Duality-based algorithms for total-variation-regularized image restoration. Zbl 1208.90165
Zhu, Mingqiang; Wright, Stephen J.; Chan, Tony F.
2010
Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems. Zbl 0914.93024
Elnagar, Gamal N.; Kazemi, Mohammad A.
1998
Kantorovich’s majorants principle for Newton’s method. Zbl 1191.90095
Ferreira, O. P.; Svaiter, B. F.
2009
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
Multidimensional assignment formulation of data association problems arising from multitarget and multisensor tracking. Zbl 0818.93070
Poore, Aubrey B.
1994
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
1994
On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552
Kanzow, Christian; Klug, Andreas
2006
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
STRSCNE: a scaled trust-region solver for constrained nonlinear equations. Zbl 1056.90128
Bellavia, Stefania; Macconi, Maria; Morini, Benedetta
2004
Decomposition algorithms for generalized potential games. Zbl 1237.91017
Facchinei, Francisco; Piccialli, Veronica; Sciandrone, Marco
2011
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
Matching-based preprocessing algorithms to the solution of saddle-point problems in large-scale nonconvex interior-point optimization. Zbl 1146.90055
Schenk, Olaf; Wächter, Andreas; Hagemann, Michael
2007
Convergence of direct methods for paramonotone variational inequalities. Zbl 1220.90129
Bello Cruz, J. Y.; Iusem, A. N.
2010
A DIRECT-based approach exploiting local minimizations for the solution of large-scale global optimization problems. Zbl 1187.90275
Liuzzi, G.; Lucidi, S.; Piccialli, V.
2010
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
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 capacitated arc routing problem: Valid inequalities and facets. Zbl 0895.90083
Belenguer, J. M.; Benavent, E.
1998
Generalized convex disjunctive programming: Nonlinear convex hull relaxation. Zbl 1030.90069
Grossmann, Ignacio E.; Lee, Sangbum
2003
A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Zbl 1192.49031
Benedix, Olaf; Vexler, Boris
2009
Incorporating minimum Frobenius norm models in direct search. Zbl 1190.90280
Custódio, A. L.; Rocha, H.; Vicente, L. N.
2010
Local convergence of interior-point algorithms for degenerate monotone LCP. Zbl 0801.90110
Monteiro, Renato D. C.; Wright, Stephen J.
1994
A trust-region method for nonlinear bilevel programming: algorithm and computational experience. Zbl 1078.90041
Colson, Benoît; Marcotte, Patrice; Savard, Gilles
2005
A proximal bundle method based on approximate subgradients. Zbl 1054.90053
Hintermüller, Michael
2001
Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation. Zbl 07353218
Leyffer, Sven; Manns, Paul; Winckler, Malte
2021
Decomposition and discrete approximation methods for solving two-stage distributionally robust optimization problems. Zbl 07350285
Chen, Yannan; Sun, Hailin; Xu, Huifu
2021
An efficient algorithm for nonconvex-linear minimax optimization problem and its application in solving weighted maximin dispersion problem. Zbl 07350288
Pan, Weiwei; Shen, Jingjing; Xu, Zi
2021
On mixed-integer optimal control with constrained total variation of the integer control. Zbl 1465.49022
Sager, Sebastian; Zeile, Clemens
2021
Optimally linearizing the alternating direction method of multipliers for convex programming. Zbl 1432.90111
He, Bingsheng; Ma, Feng; Yuan, Xiaoming
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
The block-wise circumcentered-reflection method. Zbl 1445.90080
Behling, Roger; Bello-Cruz, J.-Yunier; Santos, Luiz-Rafael
2020
Restarting the accelerated coordinate descent method with a rough strong convexity estimate. Zbl 1432.90109
Fercoq, Olivier; Qu, Zheng
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
Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117
Jiang, Jie; Chen, Xiaojun; Chen, Zhiping
2020
Algorithms for stochastic optimization with function or expectation constraints. Zbl 1443.90263
Lan, Guanghui; Zhou, Zhiqiang
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
Modified Jacobian smoothing method for nonsmooth complementarity problems. Zbl 1432.90149
Chen, Pin-Bo; Zhang, Peng; Zhu, Xide; Lin, Gui-Hua
2020
Stochastic structured tensors to stochastic complementarity problems. Zbl 1441.15017
Du, Shouqiang; Che, Maolin; Wei, Yimin
2020
Tensor neural network models for tensor singular value decompositions. Zbl 1441.65040
Wang, Xuezhong; Che, Maolin; Wei, Yimin
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
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
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
Secant update version of quasi-Newton PSB with weighted multisecant equations. Zbl 1433.90191
Boutet, Nicolas; Haelterman, Rob; Degroote, Joris
2020
A branch-and-cut algorithm for solving mixed-integer semidefinite optimization problems. Zbl 1440.90031
Kobayashi, Ken; Takano, Yuich
2020
Weak convergence of iterative methods for solving quasimonotone variational inequalities. Zbl 07342388
Liu, Hongwei; Yang, Jun
2020
Riemannian conjugate gradient methods with inverse retraction. Zbl 1466.90124
Zhu, Xiaojing; Sato, Hiroyuki
2020
Hybrid Riemannian conjugate gradient methods with global convergence properties. Zbl 1466.90123
Sakai, Hiroyuki; Iiduka, Hideaki
2020
On the use of polynomial models in multiobjective directional direct search. Zbl 1466.90095
Brás, C. P.; Custódio, A. L.
2020
Accelerating incremental gradient optimization with curvature information. Zbl 1443.90276
Wai, Hoi-To; Shi, Wei; Uribe, César A.; Nedić, Angelia; Scaglione, Anna
2020
A differentiable path-following algorithm for computing perfect stationary points. Zbl 1453.90170
Zhan, Yang; Li, Peixuan; Dang, Chuangyin
2020
An augmented Lagrangian method for quasi-equilibrium problems. Zbl 1446.90154
Bueno, L. F.; Haeser, G.; Lara, F.; Rojas, F. N.
2020
Non-monotone inexact restoration method for nonlinear programming. Zbl 1446.90148
Francisco, Juliano B.; Gonçalves, Douglas S.; Bazán, Fermín S. V.; Paredes, Lila L. T.
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
A note on solving nonlinear optimization problems in variable precision. Zbl 1446.90149
Gratton, S.; Toint, Ph. L.
2020
A regularization method for constrained nonlinear least squares. Zbl 1446.90151
Orban, Dominique; Siqueira, Abel Soares
2020
Smoothing algorithms for computing the projection onto a Minkowski sum of convex sets. Zbl 1427.90268
Qin, Xiaolong; An, Nguyen Thai
2019
Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis. Zbl 1411.90274
Jiang, Bo; Lin, Tianyi; Ma, Shiqian; Zhang, Shuzhong
2019
Modified extragradient-like algorithms with new stepsizes for variational inequalities. Zbl 07066034
Van Hieu, Dang; Anh, Pham Ky; Muu, Le Dung
2019
Inexact successive quadratic approximation for regularized optimization. Zbl 1420.90045
Lee, Ching-pei; Wright, Stephen J.
2019
A refined convergence analysis of $$\mathrm{pDCA}_{e}$$ with applications to simultaneous sparse recovery and outlier detection. Zbl 1420.90048
Liu, Tianxiang; Pong, Ting Kei; Takeda, Akiko
2019
Optimal stochastic extragradient schemes for pseudomonotone stochastic variational inequality problems and their variants. Zbl 1439.90069
Kannan, Aswin; Shanbhag, Uday V.
2019
Robust optimal discrete arc sizing for tree-shaped potential networks. Zbl 1414.90240
Robinius, Martin; Schewe, Lars; Schmidt, Martin; Stolten, Detlef; Thürauf, Johannes; Welder, Lara
2019
Douglas-Rachford splitting and ADMM for pathological convex optimization. Zbl 1427.90223
Ryu, Ernest K.; Liu, Yanli; Yin, Wotao
2019
Adaptive $$l_1$$-regularization for short-selling control in portfolio selection. Zbl 1422.91646
Corsaro, Stefania; De Simone, Valentina
2019
Optimal control in first-order Sobolev spaces with inequality constraints. Zbl 1422.49026
Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe
2019
Fast bundle-level methods for unconstrained and ball-constrained convex optimization. Zbl 1414.90263
Chen, Yunmei; Lan, Guanghui; Ouyang, Yuyuan; Zhang, Wei
2019
A family of spectral gradient methods for optimization. Zbl 1427.90260
Dai, Yu-Hong; Huang, Yakui; Liu, Xin-Wei
2019
Proximal alternating penalty algorithms for nonsmooth constrained convex optimization. Zbl 1418.90199
Tran-Dinh, Quoc
2019
Direct search based on probabilistic feasible descent for bound and linearly constrained problems. Zbl 1420.90083
Gratton, S.; Royer, C. W.; Vicente, L. N.; Zhang, Z.
2019
A random block-coordinate Douglas-Rachford splitting method with low computational complexity for binary logistic regression. Zbl 1461.90091
Briceño-Arias, Luis M.; Chierchia, Giovanni; Chouzenoux, Emilie; Pesquet, Jean-Christophe
2019
Inexact alternating direction methods of multipliers for separable convex optimization. Zbl 1414.90228
Hager, William W.; Zhang, Hongchao
2019
Projective method of multipliers for linearly constrained convex minimization. Zbl 1414.90271
2019
Ordered $$p$$-median problems with neighbourhoods. Zbl 1414.90254
Blanco, Víctor
2019
On level regularization with normal solutions in decomposition methods for multistage stochastic programming problems. Zbl 1427.90207
van Ackooij, Wim; de Oliveira, Welington; Song, Yongjia
2019
Implementation of interior-point methods for LP based on Krylov subspace iterative solvers with inner-iteration preconditioning. Zbl 1427.90289
Cui, Yiran; Morikuni, Keiichi; Tsuchiya, Takashi; Hayami, Ken
2019
Computing the spark: mixed-integer programming for the (vector) matroid girth problem. Zbl 1425.90073
Tillmann, Andreas M.
2019
An efficient optimization approach for best subset selection in linear regression, with application to model selection and fitting in autoregressive time-series. Zbl 1435.90088
Di Gangi, Leonardo; Lapucci, M.; Schoen, F.; Sortino, A.
2019
A feasible rounding approach for mixed-integer optimization problems. Zbl 1414.90239
Neumann, Christoph; Stein, Oliver; Sudermann-Merx, Nathan
2019
Proximal gradient methods for multiobjective optimization and their applications. Zbl 1420.90065
Tanabe, Hiroki; Fukuda, Ellen H.; Yamashita, Nobuo
2019
A partial outer convexification approach to control transmission lines. Zbl 1414.90236
Göttlich, S.; Potschka, A.; Teuber, C.
2019
A novel hybrid trust region algorithm based on nonmonotone and LOOCV techniques. Zbl 1414.90320
Ahmadvand, M.; Esmaeilbeigi, M.; Kamandi, A.; Yaghoobi, F. M.
2019
Efficient calculation of regular simplex gradients. Zbl 1414.90363
Coope, Ian; Tappenden, Rachael
2019
General inertial proximal gradient method for a class of nonconvex nonsmooth optimization problems. Zbl 1420.90054
Wu, Zhongming; Li, Min
2019
Iteratively reweighted $$\ell _1$$ algorithms with extrapolation. Zbl 1420.90071
Yu, Peiran; Pong, Ting Kei
2019
An almost cyclic 2-coordinate descent method for singly linearly constrained problems. Zbl 1414.90226
Cristofari, Andrea
2019
Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces. Zbl 1423.90176
Börgens, Eike; Kanzow, Christian
2019
A parameterized Douglas-Rachford algorithm. Zbl 1461.90104
Wang, Dongying; Wang, Xianfu
2019
Quasi-Newton approaches to interior point methods for quadratic problems. Zbl 1427.90290
Gondzio, J.; Sobral, F. N. C.
2019
A dense initialization for limited-memory quasi-Newton methods. Zbl 1427.90292
Brust, Johannes; Burdakov, Oleg; Erway, Jennifer B.; Marcia, Roummel F.
2019
On monotone and primal-dual active set schemes for $$\ell^p$$-type problems, $$p \in (0,1]$$. Zbl 1417.90120
Ghilli, Daria; Kunisch, Karl
2019
A globally convergent Levenberg-Marquardt method for equality-constrained optimization. Zbl 1411.90323
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I.
2019
A new infeasible proximal bundle algorithm for nonsmooth nonconvex constrained optimization. Zbl 1425.90084
Hoseini Monjezi, Najmeh; Nobakhtian, S.
2019
Modified inexact Levenberg-Marquardt methods for solving nonlinear least squares problems. Zbl 1425.90112
Bao, Jifeng; Yu, Carisa Kwok Wai; Wang, Jinhua; Hu, Yaohua; Yao, Jen-Chih
2019
Large-scale quasi-Newton trust-region methods with low-dimensional linear equality constraints. Zbl 1435.90147
Brust, Johannes J.; Marcia, Roummel F.; Petra, Cosmin G.
2019
A delayed weighted gradient method for strictly convex quadratic minimization. Zbl 1427.90209
Oviedo Leon, Harry Fernando
2019
A primal-dual interior-point method based on various selections of displacement step for symmetric optimization. Zbl 1414.90322
Alzalg, Baha
2019
A simple version of bundle method with linear programming. Zbl 1414.90268
Liu, Shuai
2019
Accelerating block coordinate descent methods with identification strategies. Zbl 1414.90327
Lopes, R.; Santos, S. A.; Silva, P. J. S.
2019
A constraint-reduced MPC algorithm for convex quadratic programming, with a modified active set identification scheme. Zbl 1420.90042
Laiu, M. Paul; Tits, André L.
2019
Long-step path-following algorithm for solving symmetric programming problems with nonlinear objective functions. Zbl 1420.90044
Faybusovich, Leonid; Zhou, Cunlu
2019
Two-phase semi-Lagrangian relaxation for solving the uncapacitated distribution centers location problem for B2C E-commerce. Zbl 1420.90040
Zhang, Huizhen; Beltran-Royo, Cesar; Wang, Bo; Zhang, Ziying
2019
A strong Lagrangian relaxation for general discrete-choice network revenue management. Zbl 1420.90080
Kunnumkal, Sumit; Talluri, Kalyan
2019
A semismooth Newton method for support vector classification and regression. Zbl 1423.90276
Yin, Juan; Li, Qingna
2019
A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. Zbl 1422.90070
Birgin, E. G.; Martínez, J. M.
2019
An algorithm for equilibrium selection in generalized Nash equilibrium problems. Zbl 1414.90336
Dreves, Axel
2019
On relaxation of some customized proximal point algorithms for convex minimization: from variational inequality perspective. Zbl 1422.90037
Ma, Feng
2019
A simple convergence analysis of Bregman proximal gradient algorithm. Zbl 1423.90275
Zhou, Yi; Liang, Yingbin; Shen, Lixin
2019
Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence. Zbl 1427.90219
Lorenz, Dirk A.; Tran-Dinh, Quoc
2019
Convergence rate for a Radau hp collocation method applied to constrained optimal control. Zbl 1427.49038
Hager, William W.; Hou, Hongyan; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng
2019
Asynchronous parallel primal-dual block coordinate update methods for affinely constrained convex programs. Zbl 1411.90215
Xu, Yangyang
2019
Newton’s method with feasible inexact projections for solving constrained generalized equations. Zbl 1411.90320
de Oliveira, Fabiana R.; Ferreira, Orizon P.; Silva, Gilson N.
2019
On the optimal solution set in interval linear programming. Zbl 1418.90149
2019
Copositive tensor detection and its applications in physics and hypergraphs. Zbl 1383.65061
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun
2018
Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points. Zbl 1411.90316
Birgin, E. G.; Haeser, G.; Ramos, Alberto
2018
A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
2018
Generalized symmetric ADMM for separable convex optimization. Zbl 1461.65126
Bai, Jianchao; Li, Jicheng; Xu, Fengmin; Zhang, Hongchao
2018
A copositive approach for two-stage adjustable robust optimization with uncertain right-hand sides. Zbl 1417.90150
Xu, Guanglin; Burer, Samuel
2018
Planar methods and grossone for the conjugate gradient breakdown in nonlinear programming. Zbl 1465.90123
De Leone, Renato; Fasano, Giovanni; Sergeyev, Yaroslav D.
2018
A new projection method for finding the closest point in the intersection of convex sets. Zbl 1464.47035
Aragón Artacho, Francisco J.; Campoy, Rubén
2018
A two-stage stochastic programming approach for influence maximization in social networks. Zbl 1400.90238
Wu, Hao-Hsiang; Küçükyavuz, Simge
2018
Euler discretization for a class of nonlinear optimal control problems with control appearing linearly. Zbl 1388.49018
Alt, Walter; Felgenhauer, Ursula; Seydenschwanz, Martin
2018
Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051
Kanzow, Christian; Steck, Daniel
2018
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#### Cited by 10,929 Authors

 66 Kanzow, Christian 63 Chen, Jein-Shan 61 Martínez, José Mario 60 Qi, Liqun 57 Huang, Zheng-Hai 48 Yuan, Xiaoming 46 Kunisch, Karl 43 Fukushima, Masao 42 Dang Van Hieu 41 Birgin, Ernesto G. 41 Ma, Changfeng 40 Solodov, Mikhail V. 39 Tröltzsch, Fredi 38 Liu, Sanyang 38 Pang, Jong-Shi 38 Pardalos, Panos M. 36 Han, Deren 35 Pang, Liping 34 Casas, Eduardo 34 Chen, Yanping 34 Zhang, Liwei 33 Gondzio, Jacek 33 Lucidi, Stefano 33 Rinaldi, Francesco 33 Sherali, Hanif D. 32 Izmailov, Alekseĭ F. 32 Liberti, Leo 32 Locatelli, Marco 31 Hinze, Michael 31 Liu, Hongwei 30 Hager, William W. 30 Jian, Jinbao 30 Júdice, Joaquim João 30 Lavor, Carlile Campos 30 Pan, Shaohua 30 Yuan, Gonglin 29 Shehu, Yekini 28 Ferreira, Orizon Pereira 28 He, Hongjin 28 Rösch, Arnd 27 Bnouhachem, Abdellah 27 Sciandrone, Marco 27 Van Ackooij, Wim 26 Zhu, Detong 25 Andreani, Roberto 25 Dostál, Zdeněk 25 Iusem, Alfredo Noel 25 Li, Duan 25 Liuzzi, Giampaolo 24 Bomze, Immanuel M. 24 Sun, Defeng 24 Wang, Yiju 23 Dai, Yu-Hong 23 Dương Việt Thông 23 Frangioni, Antonio 23 Mangasarian, Olvi L. 23 Vexler, Boris 23 Wachsmuth, Daniel 23 Wei, Zengxin 23 Xiao, Yunhai 23 Zhou, Jinchuan 22 Audet, Charles 22 Fan, Jinyan 22 Gaudioso, Manlio 22 He, Bingsheng 22 Santos, Sandra Augusta 22 Seeger, Alberto 21 Mitchell, John E. 21 Sun, Wenyu 21 Yuan, Ya-xiang 20 Fernandes, Edite M. G. P. 20 Jeyakumar, Vaithilingam 20 Le Thi, Hoai An 20 Li, Guoyin 20 Ling, Chen 20 Lisser, Abdel 20 Mucherino, Antonio 20 Sun, Jie 20 Volkwein, Stefan 20 Wu, Zhiyou 20 Yao, Jen-Chih 20 Zhang, Hongchao 19 Censor, Yair 19 Dong, Qiaoli 19 Gibali, Aviv 19 Gratton, Serge 19 Morini, Benedetta 19 Neitzel, Ira 19 Pasiliao, Eduardo L. jun. 19 Tang, Jingyong 19 Teo, Kok Lay 19 Wang, Changyu 19 Yang, Xiaoqi 18 Babaie-Kafaki, Saman 18 Bellavia, Stefania 18 Chen, Xiaojun 18 di Serafino, Daniela 18 Hintermüller, Michael 18 Jahanshahloo, Gholam Reza 18 Pong, Ting Kei ...and 10,829 more Authors
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#### Cited in 505 Journals

 800 Computational Optimization and Applications 533 European Journal of Operational Research 519 Journal of Optimization Theory and Applications 415 Journal of Global Optimization 368 Mathematical Programming. Series A. Series B 301 Applied Mathematics and Computation 301 Optimization Methods & Software 277 Computers & Operations Research 273 Journal of Computational and Applied Mathematics 251 Optimization 247 Optimization Letters 221 SIAM Journal on Optimization 196 Annals of Operations Research 147 Numerical Algorithms 115 Mathematical Problems in Engineering 104 Computers & Mathematics with Applications 87 Operations Research Letters 86 Numerical Functional Analysis and Optimization 78 Applied Numerical Mathematics 75 Applied Mathematical Modelling 75 Journal of Industrial and Management Optimization 74 Mathematical Methods of Operations Research 72 Computational and Applied Mathematics 70 Journal of Scientific Computing 70 SIAM Journal on Scientific Computing 69 INFORMS Journal on Computing 66 Optimization and Engineering 65 SIAM Journal on Control and Optimization 64 Discrete Applied Mathematics 58 Automatica 58 Mathematical Programming Computation 57 Journal of Applied Mathematics and Computing 55 Journal of Mathematical Analysis and Applications 55 Journal of Inequalities and Applications 52 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 50 Linear Algebra and its Applications 50 Top 49 Set-Valued and Variational Analysis 48 International Journal of Computer Mathematics 46 Numerische Mathematik 46 Journal of the Operations Research Society of China 44 Computer Methods in Applied Mechanics and Engineering 44 Inverse Problems 44 Abstract and Applied Analysis 43 Computational Management Science 42 Information Sciences 42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Journal of Combinatorial Optimization 39 Asia-Pacific Journal of Operational Research 38 Journal of Applied Mathematics 37 Journal of Computational Physics 31 Applied Mathematics and Optimization 31 Networks 31 EURO Journal on Computational Optimization 30 International Transactions in Operational Research 29 4OR 28 Numerical Algebra, Control and Optimization 27 SIAM Journal on Numerical Analysis 26 Mathematics of Operations Research 26 Operations Research 26 Theoretical Computer Science 26 Advances in Computational Mathematics 26 Science China. Mathematics 25 Mathematics of Computation 25 Calcolo 24 International Journal for Numerical Methods in Engineering 24 Acta Mathematicae Applicatae Sinica. English Series 23 OR Spectrum 22 SIAM Journal on Matrix Analysis and Applications 21 SIAM Journal on Imaging Sciences 21 Mathematical Control and Related Fields 20 Applicable Analysis 20 Journal of the Franklin Institute 20 Optimal Control Applications & Methods 20 Applied Mathematics Letters 20 Mathematical and Computer Modelling 20 RAIRO. Operations Research 20 Discrete Optimization 19 Quantitative Finance 19 Journal of Machine Learning Research (JMLR) 18 Journal of Mathematical Imaging and Vision 18 Numerical Linear Algebra with Applications 17 Computational Mechanics 17 Journal of Systems Science and Complexity 17 Journal of Fixed Point Theory and Applications 16 International Journal of Control 16 Automation and Remote Control 16 Vietnam Journal of Mathematics 16 Soft Computing 16 Discrete Dynamics in Nature and Society 16 Structural and Multidisciplinary Optimization 16 Frontiers of Mathematics in China 15 Mathematics and Computers in Simulation 15 Pattern Recognition 15 Journal of Heuristics 15 CEJOR. Central European Journal of Operations Research 14 International Journal of Production Research 14 Acta Mathematica Sinica. English Series 14 International Journal of Applied Mathematics and Computer Science 13 Computing ...and 405 more Journals
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#### Cited in 58 Fields

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