## Optimization Methods & Software

 Short Title: Optim. Methods Softw. Publisher: Taylor & Francis, Reading, Berkshire ISSN: 1055-6788; 1029-4937/e Online: http://www.tandfonline.com/loi/goms20 Comments: Indexed cover-to-cover
 Documents Indexed: 1,352 Publications (since 1997) References Indexed: 1,063 Publications with 29,750 References.
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### Latest Issues

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### Authors

 18 Pardalos, Panos M. 17 Toint, Philippe L. 16 Fukushima, Masao 15 Griewank, Andreas 15 Yuan, Ya-xiang 14 Terlaky, Tamás 13 Li, Donghui 11 Walther, Andrea 9 Martínez, José Mario 9 Nesterov, Yurii 9 Potra, Florian-Alexandru 9 Roos, Cornelis 9 Sciandrone, Marco 9 Spedicato, Emilio 8 Bagirov, Adil M. 8 Dai, Yu-Hong 8 Guerriero, Francesca 8 Kanzow, Christian 8 Monteiro, Renato D. C. 8 Steihaug, Trond 7 Curtis, Frank E. 7 Evtushenko, Yuriĭ Gavrilovich 7 Gasnikov, Alexander V. 7 Gaudioso, Manlio 7 Gratton, Serge 7 Mészáros, Csaba 7 Nocedal, Jorge 7 Qi, Liqun 7 Rubinov, Aleksandr Moiseevich 7 Teo, Kok Lay 6 Bai, Yanqin 6 de Klerk, Etienne 6 Deng, Naiyang 6 Fan, Jinyan 6 Ferris, Michael C. 6 Gauger, Nicolas R. 6 Jarre, Florian 6 Júdice, Joaquim João 6 Kočvara, Michal 6 Kojima, Masakazu 6 Konnov, Igor V. 6 Lu, Zhaosong 6 Lukšan, Ladislav 6 Mahdavi-Amiri, Nezam 6 Mangasarian, Olvi L. 6 Richtárik, Peter 6 Solodov, Mikhail V. 6 Takáč, Martin 6 Tsuchiya, Takashi 6 Yang, Xiaoqi 6 Zhang, Jianzhong 6 Zhang, Liwei 5 Al-Baali, Mehiddin 5 Babaie-Kafaki, Saman 5 Birgin, Ernesto G. 5 Bock, Hans Georg 5 Burer, Samuel 5 Cartis, Coralia 5 Charpentier, Isabelle 5 Hascoet, Laurent 5 Hinze, Michael 5 Iusem, Alfredo Noel 5 Kirches, Christian 5 Lesaja, Goran 5 Leyffer, Sven 5 Li, Duan 5 Mitchell, John E. 5 Peyghami, Mohammad Reza 5 Sahinidis, Nikolaos V. 5 Santos, Sandra Augusta 5 Trafalis, Theodore B. 5 Vicente, Luis Nunes 5 Wang, Yanfei 5 Weber, Gerhard-Wilhelm 5 Wolkowicz, Henry 5 Ye, Yinyu 4 Akrotirianakis, Ioannis G. 4 Andrei, Neculai 4 Barton, Paul I. 4 Bellavia, Stefania 4 Bigi, Giancarlo 4 Broyden, Charles George 4 Censor, Yair 4 Chaovalitwongse, Wanpracha Art 4 Christianson, Bruce 4 Demyanov, Vladimir Fedorovich 4 Dvurechensky, Pavel E. 4 Floudas, Christodoulos Achilleus 4 Goldfarb, Donald 4 Gomes-Ruggiero, Márcia Ap. 4 Gould, Nicholas Ian Mark 4 Griffin, Joshua D. 4 Guigues, Vincent 4 Herty, Michael Matthias 4 Hintermüller, Michael 4 Imai, Hideki 4 Kearfott, Baker 4 Kostina, Ekaterina A. 4 Liu, Hongwei 4 Locatelli, Marco ...and 1,916 more Authors
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### Fields

 1,108 Operations research, mathematical programming (90-XX) 469 Numerical analysis (65-XX) 257 Calculus of variations and optimal control; optimization (49-XX) 119 Computer science (68-XX) 54 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Systems theory; control (93-XX) 35 General and overarching topics; collections (00-XX) 33 Statistics (62-XX) 32 Operator theory (47-XX) 28 Biology and other natural sciences (92-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Partial differential equations (35-XX) 26 Combinatorics (05-XX) 15 Mechanics of deformable solids (74-XX) 14 Convex and discrete geometry (52-XX) 14 Information and communication theory, circuits (94-XX) 13 Fluid mechanics (76-XX) 12 Real functions (26-XX) 10 History and biography (01-XX) 10 Ordinary differential equations (34-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Approximations and expansions (41-XX) 8 Geophysics (86-XX) 7 Probability theory and stochastic processes (60-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Functional analysis (46-XX) 5 Optics, electromagnetic theory (78-XX) 4 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

1,030 Publications have been cited 10,566 times in 7,927 Documents Cited by Year
Using SeDuMi 1. 02, a MATLAB toolbox for optimization over symmetric cones. Zbl 0973.90526
Sturm, Jos F.
1999
SDPT3 – a MATLAB software package for semidefinite programming, version 1. 3. Zbl 0997.90060
Toh, K. C.; Todd, M. J.; Tütüncü, R. H.
1999
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. Zbl 1232.58008
Censor, Yair; Gibali, Aviv; Reich, Simeon
2011
Branching and bounds tightening techniques for non-connvex MINLP. Zbl 1179.90237
Belotti, Pietro; Lee, Jon; Liberti, Leo; Margot, François; Wächter, Andreas
2009
GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277
Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan
2009
CSDP, a C library for semidefinite programming. Zbl 0973.90524
Borchers, Brian
1999
Nonmonotone spectral methods for large-scale nonlinear systems. Zbl 1069.65056
la Cruz, William; Raydan, Marcos
2003
Pennon: A code for convex nonlinear and semidefinite programming. Zbl 1037.90003
Kočvara, Michal; Stingl, Michael
2003
Semidefinite relaxation and nonconvex quadratic optimization. Zbl 0904.90136
Nesterov, Yu.
1998
LOQO: An interior point code for quadratic programming. Zbl 0973.90518
Vanderbei, Robert J.
1999
A derivative-free line search and global convergence of Broyden-like method for nonlinear equations. Zbl 0960.65076
Li, Donghui; Fukushima, Masao
2000
Some descent three-term conjugate gradient methods and their global convergence. Zbl 1220.90094
Zhang, Li; Zhou, Weijun; Li, Donghui
2007
Survey of bundle methods for nonsmooth optimization. Zbl 1050.90027
Mäkelä, Marko M.
2002
Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044
Fletcher, Roger; Leyffer, Sven
2004
Minimax analysis of stochastic problems. Zbl 1040.90030
Shapiro, Alexander; Kleywegt, Anton
2002
Exceptionally regular tensors and tensor complementarity problems. Zbl 1368.90158
Wang, Yong; Huang, Zheng-Hai; Bai, Xue-Li
2016
A nonlinear conjugate gradient method based on the MBFGS secant condition. Zbl 1112.90096
Zhou, Weijun; Zhang, Li
2006
A convergence analysis of the scaling-invariant primal-dual path-following algorithms for second-order cone programming. Zbl 0957.90129
Tsuchiya, Takashi
1999
New limited memory bundle method for large-scale nonsmooth optimization. Zbl 1068.90101
Haarala, M.; Miettinen, K.; Mäkelä, M. M.
2004
Fractional programming: the sum-of-ratios case. Zbl 1070.90115
Schaible, Siegfried; Shi, Jianming
2003
Bao, Xiaowei; Sahinidis, Nikolaos V.; Tawarmalani, Mohit
2009
The trust region subproblem and semidefinite programming. Zbl 1070.65041
Fortin, Charles; Wolkowicz, Henry
2004
The global solver in the LINDO API. Zbl 1177.90325
Lin, Youdong; Schrage, Linus
2009
Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization. Zbl 1285.90068
Shen, Y.; Wen, Z.; Zhang, Yin
2014
Regularized symmetric indefinite systems in interior point methods for linear and quadratic optimization. Zbl 0957.90101
Altman, Anna; Gondzio, Jacek
1999
Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions. Zbl 1030.65049
Dan, Hiroshige; Yamashita, Nobuo; Fukushima, Masao
2002
Implementation and evaluation of SDPA 6.0 (SemiDefinite Programming Algorithm 6.0). Zbl 1106.90366
Yamashita, Makoto; Fujisawa, Katsuki; Kojima, Masakazu
2003
Convex nondifferentiable optimization: a survey focused on the analytic center cutting plane method. Zbl 1065.90060
Goffin, Jean-Louis; Vial, Jean-Philippe
2002
A descent family of Dai-Liao conjugate gradient methods. Zbl 1285.90063
Babaie-Kafaki, Saman; Ghanbari, Reza
2014
Level bundle methods for oracles with on-demand accuracy. Zbl 1306.90121
de Oliveira, W.; Sagastizábal, C.
2014
Leyffer, Sven; Munson, Todd
2010
SCIP: global optimization of mixed-integer nonlinear programs in a branch-and-cut framework. Zbl 1398.90112
Vigerske, Stefan; Gleixner, Ambros
2018
Randomized heuristics for the max-cut problem. Zbl 1032.90073
Festa, P.; Pardalos, P. M.; Resende, M. G. C.; Ribeiro, C. C.
2002
Spectral conjugate gradient methods with sufficient descent property for large-scale unconstrained optimization. Zbl 1279.90166
Yu, Gaohang; Guan, Lutai; Chen, Wufan
2008
Validation of nominations in gas network optimization: models, methods, and solutions. Zbl 1325.90019
Pfetsch, Marc E.; Fügenschuh, Armin; Geißler, Björn; Geißler, Nina; Gollmer, Ralf; Hiller, Benjamin; Humpola, Jesco; Koch, Thorsten; Lehmann, Thomas; Martin, Alexander; Morsi, Antonio; Rövekamp, Jessica; Schewe, Lars; Schmidt, Martin; Schultz, Rüdiger; Schwarz, Robert; Schweiger, Jonas; Stangl, Claudia; Steinbach, Marc C.; Vigerske, Stefan; Willert, Bernhard M.
2015
New reformulations for stochastic nonlinear complementarity problems. Zbl 1113.90110
Lin, Gui-Hua; Fukushima, Masao
2006
A study of search directions in primal-dual interior-point methods for semidefinite programming. Zbl 0971.90109
Todd, M. J.
1999
A multigrid approach to discretized optimization problems. Zbl 0988.90040
Nash, Stephen G.
2000
A finite Newton method for classification. Zbl 1065.90078
Mangasarian, O. L.
2002
Error estimates for linear-quadratic control problems with control constraints. Zbl 1085.49042
Rösch, A.
2006
SDPLIB 1. 2, a library of semidefinite programming test problems. Zbl 0973.90522
Borchers, Brian
1999
Some properties of regularization and penalization schemes for MPECs. Zbl 1097.90054
Ralph, Daniel; Wright, Stephen J.
2004
Lagrangian relaxation procedure for cardinality-constrained portfolio optimization. Zbl 1162.90531
Shaw, Dong X.; Liu, Shucheng; Kopman, Leonid
2008
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces. Zbl 06734174
Suparatulatorn, Raweerote; Cholamjiak, Prasit; Suantai, Suthep
2017
A branch and bound method for stochastic integer problems under probabilistic constraints. Zbl 1064.90030
Beraldi, Patrizia; Ruszczyński, Andrzej
2002
Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558
Kanzow, Christian
2004
Implementation of interior point methods for mixed semidefinite and second order cone optimization problems. Zbl 1032.90021
Sturm, Jos F.
2002
On stable piecewise linearization and generalized algorithmic differentiation. Zbl 1278.65021
Griewank, Andreas
2013
On the asymmetric eigenvalue complementarity problem. Zbl 1177.90386
Júdice, Joaquim J.; Sherali, Hanif D.; Ribeiro, Isabel M.; Rosa, Silvério S.
2009
A new solution method for equilibrium problems. Zbl 1237.90253
Bigi, Giancarlo; Castellani, Marco; Pappalardo, Massimo
2009
On ellipsoidal techniques for reachability analysis. I: External approximations. Zbl 1017.93008
Kurzhanski, A. B.; Varaiya, P.
2002
Solving large-scale linear programs by interior-point methods under the Matlab environment. Zbl 0916.90208
Zhang, Yin
1998
Modified Gauss-Newton scheme with worst case guarantees for global performance. Zbl 1136.65051
Nesterov, Yu.
2007
A DC piecewise affine model and a bundling technique in nonconvex nonsmooth minimization. Zbl 1211.90182
Fuduli, A.; Gaudioso, M.; Giallombardo, G.
2004
Gradient projection methods for quadratic programs and applications in training support vector machines. Zbl 1072.90026
Serafini, Thomas; Zanghirati, Gaetano; Zanni, Luca
2005
A repository of convex quadratic programming problems. Zbl 0973.90520
Maros, István; Mészáros, Csaba
1999
Second order cone programming relaxation of nonconvex quadratic optimization problems. Zbl 1109.90327
Kim, Sunyoung; Kojima, Masakazu
2001
Scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. Zbl 1270.90068
Andrei, Neculai
2007
Massive data discrimination via linear support vector machines. Zbl 0986.90085
Bradley, P. S.; Mangasarian, O. L.
2000
PCx: An interior-point code for linear programming. Zbl 0970.90118
Czyzyk, Joseph; Mehrotra, Sanjay; Wagner, Michael; Wright, Stephen J.
1999
A method for minimization of quasidifferentiable functions. Zbl 1040.90038
2002
Globally convergent block-coordinate techniques for unconstrained optimization. Zbl 0940.65070
Grippo, Luigi; Sciandrone, Marco
1999
Use of quadratic models with mesh-adaptive direct search for constrained black box optimization. Zbl 1270.90073
Conn, Andrew R.; Le Digabel, Sébastien
2013
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo
2007
An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Zbl 1366.74070
Hintermüller, M.; Hinze, M.; Tber, M. H.
2011
A descent method for structured monotone variational inequalities. Zbl 1196.90118
Ye, Caihong; Yuan, Xiaoming
2007
Exploiting negative curvature directions in linesearch methods for unconstrained optimization. Zbl 0988.90039
Gould, N. I. M.; Lucidi, S.; Roma, M.; Toint, Ph. L.
2000
Equilibrium problems with equilibrium constraints via multiobjective optimization. Zbl 1168.90624
Mordukhovich, Boris S.
2004
On two numerical methods for state-constrained elliptic control problems. Zbl 1172.49022
Meyer, Christian; Prüfert, U.; Tröltzsch, F.
2007
Cutting-set methods for robust convex optimization with pessimizing oracles. Zbl 1173.90502
Mutapcic, Almir; Boyd, Stephen
2009
Hybrid simulated annealing and direct search method for nonlinear unconstrained global optimization. Zbl 1065.90081
Hedar, Abdel-Rahman; Fukushima, Masao
2002
Conic convex programming and self-dual embedding. Zbl 1072.90559
Luo, Z.-Q.; Sturm, Jos F.; Zhang, Shuzhong
2000
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
2008
Simplified $$O(nL)$$ infeasible interior-point algorithm for linear optimization using full-Newton steps. Zbl 1186.90077
Mansouri, H.; Roos, C.
2007
Efficient numerical solution of parabolic optimization problems by finite element methods. Zbl 1135.35317
Becker, Roland; Meidner, Dominik; Vexler, Boris
2007
Linear convergence of a modified Frank-Wolfe algorithm for computing minimum-volume enclosing ellipsoids. Zbl 1146.90047
Ahipasaoglu, S. Damla; Sun, Peng; Todd, Michael J.
2008
On the convergence of the forward-backward splitting method with linesearches. Zbl 1354.65116
Cruz, José Yunier Bello; Nghia, Tran T. A.
2016
Dual subimplicants of positive Boolean functions. Zbl 0972.90048
Boros, Endre; Gurvich, Vladimir; Hammer, Peter L.
1998
Broyden’s quasi-Newton methods for a nonlinear system of equations and unconstrained optimization: a review and open problems. Zbl 1308.90202
Al-Baali, Mehiddin; Spedicato, Emilio; Maggioni, Francesca
2014
Covariance selection for nonchordal graphs via chordal embedding. Zbl 1151.90514
Dahl, Joachim; Vandenberghe, Lieven; Roychowdhury, Vwani
2008
An extension of the positive real lemma to descriptor systems. Zbl 1078.93056
Freund, Roland W.; Jarre, Florian
2004
A generic online acceleration scheme for optimization algorithms via relaxation and inertia. Zbl 1407.65062
Iutzeler, Franck; Hendrickx, J. M.
2019
Provably near-optimal solutions for very large single-row facility layout problems. Zbl 1180.90258
Anjos, Miguel F.; Yen, Ginger
2009
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles. Zbl 1364.90359
Curtis, Frank E.; Mitchell, Tim; Overton, Michael L.
2017
$${\mathcal V}{\mathcal U}$$-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059
Mifflin, Robert; Sagastizábal, Claudia
2004
Full Nesterov-Todd step feasible interior-point method for the Cartesian $$P_{\ast}(\kappa)$$-SCLCP. Zbl 1267.90157
Wang, G. Q.; Lesaja, G.
2013
Addressing supply-side risk in uncertain power markets: stochastic Nash models, scalable algorithms and error analysis. Zbl 1278.91077
Kannan, Aswin; Shanbhag, Uday V.; Kim, Harrison M.
2013
A vector forward mode of automatic differentiation for generalized derivative evaluation. Zbl 1329.49023
Khan, Kamil A.; Barton, Paul I.
2015
Flexible complementarity solvers for large-scale applications. Zbl 1181.90255
Benson, Steven J.; Munson, Todd S.
2006
A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems. Zbl 1173.90552
Hu, Sheng-Long; Huang, Zheng-Hai; Wang, Ping
2009
Inverse and implicit function theorems for $$H$$-differentiable and semismooth functions. Zbl 1099.49018
Gowda, M. Seetharama
2004
Improving ultimate convergence of an augmented Lagrangian method. Zbl 1211.90222
Birgin, E. G.; Martínez, J. M.
2008
Convergence of string-averaging projection schemes for inconsistent convex feasibility problems. Zbl 1065.65074
Censor, Yair; Tom, Eli
2003
Proximal extrapolated gradient methods for variational inequalities. Zbl 1483.65107
Malitsky, Yu
2018
Dynamically generated cutting planes for mixed-integer quadratically constrained quadratic programs and their incorporation into GloMIQO 2. Zbl 1325.90071
Misener, Ruth; Smadbeck, James B.; Floudas, Christodoulos A.
2015
An iterative method for solving KKT system of the semi-infinite programming. Zbl 1127.90410
Wu, Soon-Yi; Li, Dong-Hui; Qi, Liqun; Zhou, Guanglu
2005
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. Zbl 1229.90138
Gratton, Serge; Toint, Philippe L.; Tröltzsch, Anke
2011
Differential continuation for regular optimal control problems. Zbl 1248.49025
Caillau, J.-B.; Cots, O.; Gergaud, J.
2012
A projected gradient algorithm for solving the maxcut SDP relaxation. Zbl 1109.90341
Burer, Samuel; Monteiro, Renato D. C.
2001
On homogeneous interior-point algorithms for semidefinite programming. Zbl 0904.90118
Potra, Florian A.; Sheng, Rongqin
1998
Tensor methods for finding approximate stationary points of convex functions. Zbl 07595255
Grapiglia, G. N.; Nesterov, Yurii
2022
Modified Popov’s explicit iterative algorithms for solving pseudomonotone equilibrium problems. Zbl 1467.65059
ur Rehman, Habib; Kumam, Poom; Je Cho, Yeol; Suleiman, Yusuf I.; Kumam, Wiyada
2021
An inertial extrapolation method for convex simple bilevel optimization. Zbl 1464.90101
Shehu, Yekini; Vuong, Phan Tu; Zemkoho, Alain
2021
Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences. Zbl 07333781
Ramos, Alberto
2021
COCO: a platform for comparing continuous optimizers in a black-box setting. Zbl 1464.90001
Hansen, Nikolaus; Auger, Anne; Ros, Raymond; Mersmann, Olaf; Tušar, Tea; Brockhoff, Dimo
2021
On inexact solution of auxiliary problems in tensor methods for convex optimization. Zbl 1464.90057
Grapiglia, G. N.; Nesterov, Yu.
2021
Universal intermediate gradient method for convex problems with inexact oracle. Zbl 1493.90132
Kamzolov, Dmitry; Dvurechensky, Pavel; Gasnikov, Alexander V.
2021
Inexact SARAH algorithm for stochastic optimization. Zbl 1464.90045
Nguyen, Lam M.; Scheinberg, Katya; Takáč, Martin
2021
Primal-dual accelerated gradient methods with small-dimensional relaxation oracle. Zbl 1489.90124
Nesterov, Yurii; Gasnikov, Alexander; Guminov, Sergey; Dvurechensky, Pavel
2021
An accelerated communication-efficient primal-dual optimization framework for structured machine learning. Zbl 1464.90059
Ma, Chenxin; Jaggi, Martin; Curtis, Frank E.; Srebro, Nathan; Takáč, Martin
2021
A dual approach for optimal algorithms in distributed optimization over networks. Zbl 1464.90062
Uribe, César A.; Lee, Soomin; Gasnikov, Alexander; Nedić, Angelia
2021
An ADMM-based interior-point method for large-scale linear programming. Zbl 1470.90048
Lin, Tianyi; Ma, Shiqian; Ye, Yinyu; Zhang, Shuzhong
2021
A survey of fundamental operations on discrete convex functions of various kinds. Zbl 1470.90054
Murota, Kazuo
2021
Inexact model: a framework for optimization and variational inequalities. Zbl 1489.65089
Stonyakin, Fedor; Tyurin, Alexander; Gasnikov, Alexander; Dvurechensky, Pavel; Agafonov, Artem; Dvinskikh, Darina; Alkousa, Mohammad; Pasechnyuk, Dmitry; Artamonov, Sergei; Piskunova, Victorya
2021
An alternating direction method of multipliers for the eigenvalue complementarity problem. Zbl 1470.90143
Júdice, Joaquim J.; Fukushima, Masao; Iusem, Alfredo; Martinez, J. M.; Sessa, Valentina
2021
Solving SDP completely with an interior point oracle. Zbl 1470.90066
Lourenço, Bruno F.; Muramatsu, Masakazu; Tsuchiya, Takashi
2021
On basic operations related to network induction of discrete convex functions. Zbl 1470.90055
Murota, Kazuo
2021
Optimal train control via switched system dynamic optimization. Zbl 1470.49077
Zhong, Weifeng; Lin, Qun; Loxton, Ryan; Lay Teo, Kok
2021
Loan interest rate Nash models with solvency constraints in the banking sector. Zbl 1493.91131
Battulga, G.; Altangerel, L.; Battur, G.
2021
Accelerating Fourier-Motzkin elimination using bit pattern trees. Zbl 1491.15025
Bastrakov, S. I.; Churkin, A. V.; Zolotykh, N. Yu.
2021
Cooperative differential games with continuous updating using Hamilton-Jacobi-Bellman equation. Zbl 1492.91047
Petrosian, Ovanes; Tur, Anna; Wang, Zeyang; Gao, Hongwei
2021
Modified gradient dynamic approach to the tensor complementarity problem. Zbl 1432.37105
Wang, Xuezhong; Che, Maolin; Qi, Liqun; Wei, Yimin
2020
SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0). Zbl 1432.90104
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng; Zhao, Xin-Yuan
2020
Gradient methods exploiting spectral properties. Zbl 1454.90042
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao
2020
Complexity and performance of an augmented Lagrangian algorithm. Zbl 1464.90094
Birgin, E. G.; Martínez, J. M.
2020
Solving mixed-integer nonlinear programmes using adaptively refined mixed-integer linear programmes. Zbl 1432.90089
Burlacu, Robert; Geißler, Björn; Schewe, Lars
2020
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
2020
Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. Zbl 1428.90160
Gould, Nicholas I. M.; Simoncini, Valeria
2020
Optimal control problems with control complementarity constraints: existence results, optimality conditions, and a penalty method. Zbl 1429.49025
Clason, Christian; Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe
2020
Improving the performance of DICOPT in convex MINLP problems using a feasibility pump. Zbl 1425.90070
Bernal, David E.; Vigerske, Stefan; Trespalacios, Francisco; Grossmann, Ignacio E.
2020
A superlinearly convergent nonmonotone quasi-Newton method for unconstrained multiobjective optimization. Zbl 1464.90090
2020
A concise second-order complexity analysis for unconstrained optimization using high-order regularized models. Zbl 1439.90056
Cartis, Coralia; Gould, N. I. M.; Toint, Ph. L.
2020
A derivative-free $$\mathcal{V} \mathcal{U}$$-algorithm for convex finite-max problems. Zbl 1443.90331
Hare, Warren; Planiden, Chayne; Sagastizábal, Claudia
2020
Deflation for semismooth equations. Zbl 1467.65067
Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M.
2020
Convex feasibility problems on uniformly convex metric spaces. Zbl 07136207
Choi, Byoung Jin; Ji, Un Cig; Lim, Yongdo
2020
A robust multi-batch L-BFGS method for machine learning. Zbl 1430.90523
Berahas, Albert S.; Takáč, Martin
2020
ADMM for multiaffine constrained optimization. Zbl 1428.90132
Gao, Wenbo; Goldfarb, Donald; Curtis, Frank E.
2020
Inexact proximal stochastic second-order methods for nonconvex composite optimization. Zbl 1454.90066
Wang, Xiao; Zhang, Hongchao
2020
Stability analysis of a class of sparse optimization problems. Zbl 1454.90026
Xu, Jialiang; Zhao, Yun-Bin
2020
Identification of the friction function in a semilinear system for gas transport through a network. Zbl 1443.35188
Hintermüller, Michael; Strogies, Nikolai
2020
On a transformation of the $$\ast$$-congruence Sylvester equation for the least squares optimization. Zbl 1475.15017
Satake, Yuki; Sogabe, Tomohiro; Kemmochi, Tomoya; Zhang, Shao-Liang
2020
A one-parameter class of three-term conjugate gradient methods with an adaptive parameter choice. Zbl 1464.90103
Yao, Shengwei; Ning, Liangshuo; Tu, Huonian; Xu, Jieqiong
2020
New versions of Newton method: step-size choice, convergence domain and under-determined equations. Zbl 1464.90112
Polyak, Boris; Tremba, Andrey
2020
Convergence rate of the Levenberg-Marquardt method under Hölderian local error bound. Zbl 1453.65113
Wang, Haiyan; Fan, Jinyan
2020
Orthogonal canonical correlation analysis and applications. Zbl 1455.65059
Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang
2020
An efficient augmented Lagrangian method for support vector machine. Zbl 1454.90091
Yan, Yinqiao; Li, Qingna
2020
An efficient exact approach for the constrained shortest path tour problem. Zbl 1433.90177
Ferone, Daniele; Festa, Paola; Guerriero, Francesca
2020
On the inexact symmetrized globally convergent semi-smooth Newton method for 3D contact problems with Tresca friction: the R-linear convergence rate. Zbl 07136209
Kučera, Radek; Motyčková, K.; Markopoulos, A.; Haslinger, J.
2020
Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions. Zbl 1437.90124
Asl, Azam; Overton, Michael L.
2020
Computation of second-order directional stationary points for group sparse optimization. Zbl 1428.90138
Peng, Dingtao; Chen, Xiaojun
2020
A convergent Newton algorithm for computing Z-eigenvalues of an almost nonnegative irreducible tensor. Zbl 1433.65063
Zhang, Xin; Ni, Qin; Ge, Zhili
2020
Separation theorems for the extrema of best piecewise monotonic approximations to successive data. Zbl 1440.90093
Demetriou, I. C.
2020
On the relation between MPECs and optimization problems in abs-normal form. Zbl 1440.90073
Hegerhorst-Schultchen, L. C.; Kirches, C.; Steinbach, M. C.
2020
GPU parameter tuning for tall and skinny dense linear least squares problems. Zbl 1445.90107
Sauk, Benjamin; Ploskas, Nikolaos; Sahinidis, Nikolaos
2020
Training GANs with centripetal acceleration. Zbl 1464.90060
Peng, Wei; Dai, Yu-Hong; Zhang, Hui; Cheng, Lizhi
2020
The rate of convergence of proximal method of multipliers for nonlinear programming. Zbl 1464.90104
Zhang, Yule; Wu, Jia; Zhang, Liwei
2020
XCT image reconstruction by a modified superiorized iteration and theoretical analysis. Zbl 1466.94007
Luo, Shousheng; Zhang, Yanchun; Zhou, Tie; Song, Jinping; Wang, Yanfei
2020
The maximum tensor complementarity eigenvalues. Zbl 1467.65062
Fan, Jinyan; Nie, Jiawang; Zhao, Ruixue
2020
The method of codifferential descent for convex and global piecewise affine optimization. Zbl 1464.90096
Dolgopolik, M. V.
2020
A generic online acceleration scheme for optimization algorithms via relaxation and inertia. Zbl 1407.65062
Iutzeler, Franck; Hendrickx, J. M.
2019
Nonlinear iterative methods for solving the split common null point problem in Banach spaces. Zbl 1417.49018
Suantai, Suthep; Shehu, Yekini; Cholamjiak, Prasit
2019
Optimal price zones of electricity markets: a mixed-integer multilevel model and global solution approaches. Zbl 1407.90077
Grimm, Veronika; Kleinert, Thomas; Liers, Frauke; Schmidt, Martin; Zöttl, Gregor
2019
A strong convergence theorem for monotone inclusion and minimization problems in complete CAT(0) spaces. Zbl 07122675
Okeke, C. C.; Izuchukwu, C.
2019
A semidefinite method for tensor complementarity problems. Zbl 1423.90259
Zhao, Xin; Fan, Jinyan
2019
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces. Zbl 07024418
Jailoka, Pachara; Suantai, Suthep
2019
Complexity of gradient descent for multiobjective optimization. Zbl 1429.90067
Fliege, J.; Vaz, A. I. F.; Vicente, L. N.
2019
Complexity of first-order inexact Lagrangian and penalty methods for conic convex programming. Zbl 1407.90256
Necoara, Ion; Patrascu, A.; Glineur, F.
2019
A modified Hestenes-Stiefel conjugate gradient method with an optimal property. Zbl 1461.65114
Amini, Keyvan; Faramarzi, Parvaneh; Pirfalah, Nasrin
2019
Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces. Zbl 07046256
Boţ, Radu Ioan; Csetnek, Ernö Robert; Meier, Dennis
2019
Stochastic proximal quasi-Newton methods for non-convex composite optimization. Zbl 07111868
Wang, Xiaoyu; Wang, Xiao; Yuan, Ya-Xiang
2019
A new branch-and-bound algorithm for standard quadratic programming problems. Zbl 1405.90144
Liuzzi, G.; Locatelli, M.; Piccialli, Veronica
2019
Quasi-Newton methods: superlinear convergence without line searches for self-concordant functions. Zbl 1409.90091
Gao, Wenbo; Goldfarb, Donald
2019
A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs. Zbl 1428.35641
Günther, Stefanie; Gauger, N. R.; Schroder, J. B.
2019
FOM – a MATLAB toolbox of first-order methods for solving convex optimization problems. Zbl 1461.65127
Beck, Amir; Guttmann-Beck, Nili
2019
A sharp augmented Lagrangian-based method in constrained non-convex optimization. Zbl 07046255
Bagirov, A. M.; Ozturk, G.; Kasimbeyli, Refail
2019
Prox-regularization of the dual method of centers for generalized fractional programs. Zbl 1411.90317
Boufi, K.; Roubi, A.
2019
Splitting methods for the eigenvalue complementarity problem. Zbl 1431.90157
Iusem, Alfredo N.; Júdice, Joaquim J.; Sessa, Valentina; Sarabando, Paula
2019
A feasible direction algorithm for nonlinear second-order cone programs. Zbl 1431.90146
Canelas, Alfredo; Carrasco, Miguel; López, Julio
2019
Elloumi, Sourour; Lambert, Amélie
2019
A non-monotone linear search algorithm with mixed direction on Stiefel manifold. Zbl 1411.90326
Oviedo, Harry; Lara, Hugo; Dalmau, Oscar
2019
Non-smooth DC-constrained optimization: constraint qualification and minimizing methodologies. Zbl 1417.49016
van Ackooij, W.; de Oliveira, Wellington
2019
Adaptive full Newton-step infeasible interior-point method for sufficient horizontal LCP. Zbl 1429.90098
Lesaja, Goran; Potra, Florian
2019
A limited-memory quasi-Newton algorithm for bound-constrained non-smooth optimization. Zbl 1406.49032
Keskar, N.; Wächter, Andreas
2019
A universal modification of the linear coupling method. Zbl 1421.90116
Guminov, Sergey; Gasnikov, Alexander; Anikin, Anton; Gornov, Alexander
2019
Optimal algorithms for selective variants of the classical and inverse median location problems on trees. Zbl 1423.90130
Afrashteh, Esmaeil; Alizadeh, Behrooz; Baroughi, Fahimeh
2019
The cyclic Douglas-Rachford algorithm with $$r$$-sets-Douglas-Rachford operators. Zbl 1461.65117
Aragón Artacho, Francisco J.; Censor, Yair; Gibali, Aviv
2019
A matrix-free line-search algorithm for nonconvex optimization. Zbl 1416.90023
Zhou, W.; Akrotirianakis, I. G.; Yektamaram, S.; Griffin, J. D.
2019
On the elimination of inessential points in the smallest enclosing ball problem. Zbl 1407.90257
Pronzato, Luc
2019
An efficient adaptive three-term extension of the Hestenes-Stiefel conjugate gradient method. Zbl 1411.65081
Dong, Xiao-Liang; Liu, Ze-Xian; Liu, Hong-Wei; Li, Xiang-Li
2019
Anchor points in multiobjective optimization: definition, characterization and detection. Zbl 1430.90511
2019
An alternating minimization method for robust principal component analysis. Zbl 1436.65071
Shen, Yuan; Xu, Hongyu; Liu, Xin
2019
A new modified scaled conjugate gradient method for large-scale unconstrained optimization with non-convex objective function. Zbl 1422.90023
Khoshgam, Zahra; Ashrafi, Ali
2019
A linear optimization-based method for data privacy in statistical tabular data. Zbl 1416.90019
Castro, Jordi; González, José A.
2019
A long-step feasible predictor-corrector interior-point algorithm for symmetric cone optimization. Zbl 1407.90345
2019
Diagonal bundle method with convex and concave updates for large-scale nonconvex and nonsmooth optimization. Zbl 1407.65063
Karmitsa, N.; Gaudioso, M.; Joki, K.
2019
A new conjugate gradient algorithm with cubic Barzilai-Borwein stepsize for unconstrained optimization. Zbl 1411.90298
Momeni, M.; Peyghami, M. R.
2019
The continuous-time problem with interval-valued functions: applications to economic equilibrium. Zbl 1431.90144
Ruiz-Garzón, G.; Osuna-Gómez, R.; Rufián-Lizana, A.; Chalco-Cano, Y.
2019
A fast conjugate gradient algorithm with active set prediction for $$\ell_1$$ optimization. Zbl 07122680
Cheng, Wanyou; Hu, Qingjie; Li, Donghui
2019
Using a spectral scaling structured BFGS method for constrained nonlinear least squares. Zbl 1415.90117
2019
Longest $$(s, t)$$-paths in $$L$$-shaped grid graphs. Zbl 1414.05164
Keshavarz-Kohjerdi, Fatemeh; Bagheri, Alireza
2019
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### Cited by 9,464 Authors

 46 Dương Việt Thông 46 Martínez, José Mario 40 Dang Van Hieu 40 Qi, Liqun 37 Lasserre, Jean-Bernard 37 Shehu, Yekini 36 Kanzow, Christian 34 Babaie-Kafaki, Saman 34 Xia, Yong 33 Terlaky, Tamás 31 Liu, Hongwei 31 Pardalos, Panos M. 30 Bagirov, Adil M. 30 Huang, Zheng-Hai 30 Salahi, Maziar 28 Kumam, Poom 28 Liberti, Leo 28 Toh, Kim Chuan 27 Bai, Yanqin 27 Birgin, Ernesto G. 27 Fukushima, Masao 27 Júdice, Joaquim João 27 Nie, Jiawang 27 Sahinidis, Nikolaos V. 27 Schmidt, Martin 26 Dai, Yu-Hong 26 Henrion, Didier 26 Le Thi, Hoai An 26 Mewomo, Oluwatosin Temitope 25 Chen, Jein-Shan 25 Jolaoso, Lateef Olakunle 25 Pang, Jong-Shi 25 Yang, Xiaoqi 24 Curtis, Frank E. 24 de Klerk, Etienne 24 Fan, Jinyan 24 Gaudioso, Manlio 24 Izuchukwu, Chinedu 23 Dong, Qiaoli 23 Gondzio, Jacek 23 Hladík, Milan 23 Lisser, Abdel 23 Pham Dinh Tao 23 Santos, Sandra Augusta 23 Sciandrone, Marco 23 Toint, Philippe L. 22 Kheirfam, Behrouz 22 Mahdavi-Amiri, Nezam 22 Mitchell, John E. 22 Pang, Liping 22 Wang, Guoqiang 21 Gibali, Aviv 21 Locatelli, Marco 20 Andreani, Roberto 20 Andrei, Neculai 20 Audet, Charles 20 Griewank, Andreas 20 Oliveira, Ricardo C. L. F. 20 Pan, Shaohua 20 Peres, Pedro L. D. 20 Seeger, Alberto 19 Amini, Keyvan 19 Barton, Paul I. 19 Boyd, Stephen Poythress 19 Jian, Jinbao 19 Neumaier, Arnold 19 Sotirov, Renata 19 Wolkowicz, Henry 19 Zhang, Shuzhong 18 Hinze, Michael 18 Li, Duan 18 Monteiro, Renato D. C. 18 Oliveira, Aurelio Ribeiro Leite 18 Reich, Simeon 18 Robinson, Daniel P. 18 Tran Dinh Quoc 18 Van Ackooij, Wim 18 Walther, Andrea 18 Yao, Jen-Chih 18 Zhu, Detong 17 Bala Abubakar, Auwal 17 Cho, Yeol Je 17 Iyiola, Olaniyi Samuel 17 Kanno, Yoshihiro 17 Kojima, Masakazu 17 Leyffer, Sven 17 Li, Donghui 17 Nesterov, Yurii 17 Rinaldi, Francesco 17 Solodov, Mikhail V. 17 Tang, Jingyong 16 Anjos, Miguel F. 16 Censor, Yair 16 Cholamjiak, Prasit 16 Ghanbari, Reza 16 Lucidi, Stefano 16 Morini, Benedetta 16 Peyghami, Mohammad Reza 16 Richtárik, Peter 15 Beliakov, Gleb ...and 9,364 more Authors
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### Cited in 542 Journals

 455 Computational Optimization and Applications 433 Optimization Methods & Software 391 Mathematical Programming. Series A. Series B 385 Journal of Global Optimization 370 Journal of Optimization Theory and Applications 296 European Journal of Operational Research 237 Optimization 197 SIAM Journal on Optimization 195 Optimization Letters 166 Journal of Computational and Applied Mathematics 154 Applied Mathematics and Computation 149 Automatica 148 Numerical Algorithms 105 Computers & Operations Research 97 Optimization and Engineering 94 Annals of Operations Research 89 Journal of Industrial and Management Optimization 78 Computational and Applied Mathematics 78 Mathematical Programming Computation 76 International Journal of Control 73 Mathematical Problems in Engineering 65 Operations Research Letters 61 Linear Algebra and its Applications 58 Mathematical Methods of Operations Research 57 International Journal of Computer Mathematics 55 INFORMS Journal on Computing 54 Journal of Applied Mathematics and Computing 52 Numerical Functional Analysis and Optimization 52 Applied Numerical Mathematics 51 Journal of Inequalities and Applications 48 Discrete Applied Mathematics 48 SIAM Journal on Scientific Computing 47 Computer Methods in Applied Mechanics and Engineering 47 Journal of the Franklin Institute 46 Journal of Scientific Computing 44 Journal of the Operations Research Society of China 43 Computers & Mathematics with Applications 38 Numerical Algebra, Control and Optimization 36 Systems & Control Letters 35 Journal of Computational Physics 32 Top 31 Applied Mathematical Modelling 30 Operations Research 30 SIAM Journal on Control and Optimization 30 Asia-Pacific Journal of Operational Research 30 Computational Management Science 30 Set-Valued and Variational Analysis 29 Mathematics of Operations Research 29 4OR 28 International Journal of Robust and Nonlinear Control 28 Journal of Combinatorial Optimization 27 Information Sciences 27 Automation and Remote Control 26 Journal of Mathematical Analysis and Applications 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 European Journal of Control 25 CEJOR. Central European Journal of Operations Research 23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Abstract and Applied Analysis 23 Thai Journal of Mathematics 22 Mathematics and Computers in Simulation 22 Nonlinear Analysis. Hybrid Systems 22 EURO Journal on Computational Optimization 21 Mathematics of Computation 21 Applied Mathematics and Optimization 20 SIAM Journal on Matrix Analysis and Applications 20 Neural Networks 20 International Journal of Systems Science. Principles and Applications of Systems and Integration 19 Computational Statistics and Data Analysis 19 Cybernetics and Systems Analysis 18 Calcolo 18 Acta Mathematicae Applicatae Sinica. English Series 18 International Transactions in Operational Research 18 Journal of Applied Mathematics 18 Discrete Optimization 17 Numerische Mathematik 17 Theoretical Computer Science 17 Japan Journal of Industrial and Applied Mathematics 16 Inverse Problems 16 Neural Computation 16 Positivity 16 Soft Computing 16 Journal of Machine Learning Research (JMLR) 16 Science China. Mathematics 15 Machine Learning 15 Vietnam Journal of Mathematics 14 The Annals of Statistics 14 Fuzzy Sets and Systems 14 Pattern Recognition 14 Numerical Linear Algebra with Applications 14 Advances in Computational Mathematics 14 Networks and Spatial Economics 13 International Journal of Computer Vision 13 Foundations of Computational Mathematics 13 Journal of Fixed Point Theory and Applications 12 Applicable Analysis 12 Linear and Multilinear Algebra 12 SIAM Journal on Numerical Analysis 12 Optimal Control Applications & Methods 12 Journal of Mathematical Imaging and Vision ...and 442 more Journals
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### Cited in 60 Fields

 5,580 Operations research, mathematical programming (90-XX) 2,396 Numerical analysis (65-XX) 1,302 Calculus of variations and optimal control; optimization (49-XX) 749 Systems theory; control (93-XX) 576 Computer science (68-XX) 438 Operator theory (47-XX) 428 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 332 Statistics (62-XX) 294 Linear and multilinear algebra; matrix theory (15-XX) 246 Partial differential equations (35-XX) 184 Mechanics of deformable solids (74-XX) 154 Information and communication theory, circuits (94-XX) 144 Combinatorics (05-XX) 138 Biology and other natural sciences (92-XX) 113 Ordinary differential equations (34-XX) 111 Fluid mechanics (76-XX) 94 Convex and discrete geometry (52-XX) 75 Probability theory and stochastic processes (60-XX) 55 Functional analysis (46-XX) 54 Algebraic geometry (14-XX) 48 General topology (54-XX) 47 Dynamical systems and ergodic theory (37-XX) 43 Real functions (26-XX) 43 Mechanics of particles and systems (70-XX) 33 Quantum theory (81-XX) 32 Approximations and expansions (41-XX) 29 Global analysis, analysis on manifolds (58-XX) 23 Geophysics (86-XX) 21 Commutative algebra (13-XX) 21 Classical thermodynamics, heat transfer (80-XX) 20 Optics, electromagnetic theory (78-XX) 16 Nonassociative rings and algebras (17-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 History and biography (01-XX) 14 Integral transforms, operational calculus (44-XX) 14 Geometry (51-XX) 14 Differential geometry (53-XX) 13 Number theory (11-XX) 12 Integral equations (45-XX) 11 Field theory and polynomials (12-XX) 11 Functions of a complex variable (30-XX) 10 Mathematical logic and foundations (03-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Measure and integration (28-XX) 7 Associative rings and algebras (16-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 General algebraic systems (08-XX) 5 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 5 Mathematics education (97-XX) 4 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 1 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX)