# zbMATH — the first resource for mathematics

## 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: 1,280 Publications (since 1997) References Indexed: 994 Publications with 27,309 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 Walther, Andrea 11 Li, Donghui 9 Bagirov, Adil M. 9 Potra, Florian-Alexandru 9 Roos, Cornelis 9 Sciandrone, Marco 9 Spedicato, Emilio 8 Dai, Yu-Hong 8 Steihaug, Trond 7 Gaudioso, Manlio 7 Guerriero, Francesca 7 Kanzow, Christian 7 Konnov, Igor V. 7 Martínez, José Mario 7 Mészáros, Csaba 7 Monteiro, Renato D. C. 7 Nocedal, Jorge 7 Teo, Kok Lay 6 Bai, Yanqin 6 Curtis, Frank E. 6 de Klerk, Etienne 6 Deng, Naiyang 6 Evtushenko, Yuriĭ Gavrilovich 6 Fan, Jinyan 6 Gauger, Nicolas R. 6 Gratton, Serge 6 Jarre, Florian 6 Júdice, Joaquim João 6 Kojima, Masakazu 6 Lu, Zhaosong 6 Lukšan, Ladislav 6 Mangasarian, Olvi L. 6 Qi, Liqun 6 Richtárik, Peter 6 Rubinov, Alexander M. 6 Solodov, Mikhail V. 6 Takáč, Martin 6 Tsuchiya, Takashi 6 Yang, Xiaoqi 6 Yu, Bo 6 Zhang, Jianzhong 6 Zhang, Liwei 5 Al-Baali, Mehiddin 5 Babaie-Kafaki, Saman 5 Bock, Hans Georg 5 Burer, Samuel 5 Cartis, Coralia 5 Charpentier, Isabelle 5 Ferris, Michael C. 5 Hascoet, Laurent 5 Hinze, Michael 5 Iusem, Alfredo Noel 5 Kirches, Christian 5 Kočvara, Michal 5 Lesaja, Goran 5 Leyffer, Sven 5 Li, Duan 5 Mahdavi-Amiri, Nezam 5 Peyghami, Mohammad Reza 5 Sahinidis, Nikolaos V. 5 Santos, Sandra Augusta 5 Schoen, Fabio 5 Trafalis, Theodore B. 5 Vicente, Luis Nunes 5 Vlček, Jan 5 Wang, Xiao 5 Wang, Yanfei 5 Wen, Zaiwen 5 Wolkowicz, Henry 5 Ye, Yinyu 4 Andrei, Neculai 4 Bellavia, Stefania 4 Bigi, Giancarlo 4 Birgin, Ernesto G. 4 Broyden, Charles George 4 Censor, Yair 4 Chaovalitwongse, Wanpracha Art 4 Christianson, Bruce 4 Demyanov, Vladimir Fedorovich 4 Di Puglia Pugliese, Luigi 4 Floudas, Christodoulos Achilleus 4 Goldfarb, Donald 4 Gomes-Ruggiero, Márcia Ap. 4 Gould, Nicholas Ian Mark 4 Guigues, Vincent 4 Hintermüller, Michael 4 Imai, Hideki 4 Kearfott, Baker 4 Kostina, Ekaterina A. 4 Liu, Hongwei 4 Locatelli, Marco 4 Loxton, Ryan Christopher 4 Lucidi, Stefano 4 Mäkelä, Marko Mikael ...and 1,815 more Authors
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#### Fields

 1,047 Operations research, mathematical programming (90-XX) 448 Numerical analysis (65-XX) 245 Calculus of variations and optimal control; optimization (49-XX) 107 Computer science (68-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Systems theory; control (93-XX) 33 General and overarching topics; collections (00-XX) 33 Statistics (62-XX) 31 Operator theory (47-XX) 28 Biology and other natural sciences (92-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 26 Partial differential equations (35-XX) 25 Combinatorics (05-XX) 14 Mechanics of deformable solids (74-XX) 14 Information and communication theory, circuits (94-XX) 13 Fluid mechanics (76-XX) 12 Convex and discrete geometry (52-XX) 10 History and biography (01-XX) 10 Ordinary differential equations (34-XX) 9 Approximations and expansions (41-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Real functions (26-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 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 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

965 Publications have been cited 9,020 times in 6,751 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
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
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. Zbl 1232.58008
Censor, Yair; Gibali, Aviv; Reich, Simeon
2011
CSDP, a C library for semidefinite programming. Zbl 0973.90524
Borchers, Brian
1999
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
Nonmonotone spectral methods for large-scale nonlinear systems. Zbl 1069.65056
la Cruz, William; Raydan, Marcos
2003
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
Survey of bundle methods for nonsmooth optimization. Zbl 1050.90027
Mäkelä, Marko M.
2002
Some descent three-term conjugate gradient methods and their global convergence. Zbl 1220.90094
Zhang, Li; Zhou, Weijun; Li, Donghui
2007
A convergence analysis of the scaling-invariant primal-dual path-following algorithms for second-order cone programming. Zbl 0957.90129
Tsuchiya, Takashi
1999
Solving mathematical programs with complementary constraints as nonlinear programs. Zbl 1074.90044
Fletcher, Roger; Leyffer, Sven
2004
The trust region subproblem and semidefinite programming. Zbl 1070.65041
Fortin, Charles; Wolkowicz, Henry
2004
Bao, Xiaowei; Sahinidis, Nikolaos V.; Tawarmalani, Mohit
2009
New limited memory bundle method for large-scale nonsmooth optimization. Zbl 1068.90101
Haarala, M.; Miettinen, K.; Mäkelä, M. M.
2004
A nonlinear conjugate gradient method based on the MBFGS secant condition. Zbl 1112.90096
Zhou, Weijun; Zhang, Li
2006
Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions. Zbl 1030.65049
Dan, Hiroshige; Yamashita, Nobuo; Fukushima, Masao
2002
Convex nondifferentiable optimization: a survey focused on the analytic center cutting plane method. Zbl 1065.90060
Goffin, Jean-Louis; Vial, Jean-Philippe
2002
The global solver in the LINDO API. Zbl 1177.90325
Lin, Youdong; Schrage, Linus
2009
Regularized symmetric indefinite systems in interior point methods for linear and quadratic optimization. Zbl 0957.90101
Altman, Anna; Gondzio, Jacek
1999
Minimax analysis of stochastic problems. Zbl 1040.90030
Shapiro, Alexander; Kleywegt, Anton
2002
Fractional programming: the sum-of-ratios case. Zbl 1070.90115
Schaible, Siegfried; Shi, Jianming
2003
Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization. Zbl 1285.90068
Shen, Y.; Wen, Z.; Zhang, Yin
2014
Exceptionally regular tensors and tensor complementarity problems. Zbl 1368.90158
Wang, Yong; Huang, Zheng-Hai; Bai, Xue-Li
2016
Implementation and evaluation of SDPA 6.0 (SemiDefinite Programming Algorithm 6.0). Zbl 1106.90366
Yamashita, Makoto; Fujisawa, Katsuki; Kojima, Masakazu
2003
A descent family of Dai-Liao conjugate gradient methods. Zbl 1285.90063
Babaie-Kafaki, Saman; Ghanbari, Reza
2014
Randomized heuristics for the max-cut problem. Zbl 1032.90073
Festa, P.; Pardalos, P. M.; Resende, M. G. C.; Ribeiro, C. C.
2002
Some properties of regularization and penalization schemes for MPECs. Zbl 1097.90054
Ralph, Daniel; Wright, Stephen J.
2004
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
Implementation of interior point methods for mixed semidefinite and second order cone optimization problems. Zbl 1032.90021
Sturm, Jos F.
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
A branch and bound method for stochastic integer problems under probabilistic constraints. Zbl 1064.90030
Beraldi, Patrizia; Ruszczyński, Andrzej
2002
A finite Newton method for classification. Zbl 1065.90078
Mangasarian, O. L.
2002
On the asymmetric eigenvalue complementarity problem. Zbl 1177.90386
Júdice, Joaquim J.; Sherali, Hanif D.; Ribeiro, Isabel M.; Rosa, Silvério S.
2009
Lagrangian relaxation procedure for cardinality-constrained portfolio optimization. Zbl 1162.90531
Shaw, Dong X.; Liu, Shucheng; Kopman, Leonid
2008
Level bundle methods for oracles with on-demand accuracy. Zbl 1306.90121
de Oliveira, W.; Sagastizábal, C.
2014
On ellipsoidal techniques for reachability analysis. I: External approximations. Zbl 1017.93008
Kurzhanski, A. B.; Varaiya, P.
2002
A DC piecewise affine model and a bundling technique in nonconvex nonsmooth minimization. Zbl 1211.90182
Fuduli, A.; Gaudioso, M.; Giallombardo, G.
2004
Spectral conjugate gradient methods with sufficient descent property for large-scale unconstrained optimization. Zbl 1279.90166
Yu, Gaohang; Guan, Lutai; Chen, Wufan
2008
Leyffer, Sven; Munson, Todd
2010
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
Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558
Kanzow, Christian
2004
On stable piecewise linearization and generalized algorithmic differentiation. Zbl 1278.65021
Griewank, Andreas
2013
A new solution method for equilibrium problems. Zbl 1237.90253
Bigi, Giancarlo; Castellani, Marco; Pappalardo, Massimo
2009
Massive data discrimination via linear support vector machines. Zbl 0986.90085
Bradley, P. S.; Mangasarian, O. L.
2000
Second order cone programming relaxation of nonconvex quadratic optimization problems. Zbl 1109.90327
Kim, Sunyoung; Kojima, Masakazu
2001
A method for minimization of quasidifferentiable functions. Zbl 1040.90038
2002
Gradient projection methods for quadratic programs and applications in training support vector machines. Zbl 1072.90026
Serafini, Thomas; Zanghirati, Gaetano; Zanni, Luca
2005
Scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. Zbl 1270.90068
Andrei, Neculai
2007
Solving large-scale linear programs by interior-point methods under the Matlab environment. Zbl 0916.90208
Zhang, Yin
1998
Use of quadratic models with mesh-adaptive direct search for constrained black box optimization. Zbl 1270.90073
Conn, Andrew R.; Le Digabel, Sébastien
2013
PCx: An interior-point code for linear programming. Zbl 0970.90118
Czyzyk, Joseph; Mehrotra, Sanjay; Wagner, Michael; Wright, Stephen J.
1999
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
Hybrid simulated annealing and direct search method for nonlinear unconstrained global optimization. Zbl 1065.90081
Hedar, Abdel-Rahman; Fukushima, Masao
2002
Equilibrium problems with equilibrium constraints via multiobjective optimization. Zbl 1168.90624
Mordukhovich, Boris S.
2004
A descent method for structured monotone variational inequalities. Zbl 1196.90118
Ye, Caihong; Yuan, Xiaoming
2007
On two numerical methods for state-constrained elliptic control problems. Zbl 1172.49022
Meyer, Christian; Prüfert, U.; Tröltzsch, F.
2007
SCIP: global optimization of mixed-integer nonlinear programs in a branch-and-cut framework. Zbl 1398.90112
Vigerske, Stefan; Gleixner, Ambros
2018
A repository of convex quadratic programming problems. Zbl 0973.90520
Maros, István; Mészáros, Csaba
1999
Globally convergent block-coordinate techniques for unconstrained optimization. Zbl 0940.65070
Grippo, Luigi; Sciandrone, Marco
1999
Simplified $$O(nL)$$ infeasible interior-point algorithm for linear optimization using full-Newton steps. Zbl 1186.90077
Mansouri, H.; Roos, C.
2007
Conic convex programming and self-dual embedding. Zbl 1072.90559
Luo, Z.-Q.; Sturm, Jos F.; Zhang, Shuzhong
2000
Cutting-set methods for robust convex optimization with pessimizing oracles. Zbl 1173.90502
Mutapcic, Almir; Boyd, Stephen
2009
Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Zbl 1128.74007
Weiser, Martin; Deuflhard, Peter; Erdmann, Bodo
2007
Modified Gauss-Newton scheme with worst case guarantees for global performance. Zbl 1136.65051
Nesterov, Yu.
2007
Full Nesterov-Todd step feasible interior-point method for the Cartesian $$P_{\ast}(\kappa)$$-SCLCP. Zbl 1267.90157
Wang, G. Q.; Lesaja, G.
2013
Efficient numerical solution of parabolic optimization problems by finite element methods. Zbl 1135.35317
Becker, Roland; Meidner, Dominik; Vexler, Boris
2007
Inverse and implicit function theorems for $$H$$-differentiable and semismooth functions. Zbl 1099.49018
Gowda, M. Seetharama
2004
Provably near-optimal solutions for very large single-row facility layout problems. Zbl 1180.90258
Anjos, Miguel F.; Yen, Ginger
2009
Covariance selection for nonchordal graphs via chordal embedding. Zbl 1151.90514
Dahl, Joachim; Vandenberghe, Lieven; Roychowdhury, Vwani
2008
Steering exact penalty methods for nonlinear programming. Zbl 1211.90224
Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.
2008
Dual subimplicants of positive Boolean functions. Zbl 0972.90048
Boros, Endre; Gurvich, Vladimir; Hammer, Peter L.
1998
A polynomial-time algorithm for linear optimization based on a new simple kernel function. Zbl 1097.90031
Bai, Y. Q.; Roos, C.
2003
$${\mathcal V}{\mathcal U}$$-smoothness and proximal point results for some nonconvex functions. Zbl 1097.90059
Mifflin, Robert; Sagastizábal, Claudia
2004
An extension of the positive real lemma to descriptor systems. Zbl 1078.93056
Freund, Roland W.; Jarre, Florian
2004
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 nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems. Zbl 1173.90552
Hu, Sheng-Long; Huang, Zheng-Hai; Wang, Ping
2009
Improving ultimate convergence of an augmented Lagrangian method. Zbl 1211.90222
Birgin, E. G.; Martínez, J. M.
2008
A vector forward mode of automatic differentiation for generalized derivative evaluation. Zbl 1329.49023
Khan, Kamil A.; Barton, Paul I.
2015
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
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 homogeneous interior-point algorithms for semidefinite programming. Zbl 0904.90118
Potra, Florian A.; Sheng, Rongqin
1998
A projected gradient algorithm for solving the maxcut SDP relaxation. Zbl 1109.90341
Burer, Samuel; Monteiro, Renato D. C.
2001
A unifying framework for several cutting plane methods for semidefinite programming. Zbl 1181.90215
Krishnan, Kartik; Mitchell, John E.
2006
Differential continuation for regular optimal control problems. Zbl 1248.49025
Caillau, J.-B.; Cots, O.; Gergaud, J.
2012
Building additive utilities for multi-group hierarchical discrimination: The M. H. Dis method. Zbl 0985.90059
Zopounidis, Constantin; Doumpos, Michael
2000
Copositive relaxation for general quadratic programming. Zbl 0904.90126
Quist, A. J.; de Klerk, E.; Roos, C.; Terlaky, T.
1998
Convergence of string-averaging projection schemes for inconsistent convex feasibility problems. Zbl 1065.65074
Censor, Yair; Tom, Eli
2003
Heuristic pattern search and its hybridization with simulated annealing for nonlinear global optimization. Zbl 1059.90149
Hedar, Abdel-Rahman; Fukushima, Masao
2004
Convex underestimation strategies for signomial functions. Zbl 1178.90278
Lundell, Andreas; Westerlund, Tapio
2009
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
Convergence properties of augmented Lagrangian methods for constrained global optimization. Zbl 1154.90575
Luo, Hezhi; Sun, Xiaoling; Wu, Huixian
2008
Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization. Zbl 1270.90078
Toint, Philippe L.
2013
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 inertial extrapolation method for convex simple bilevel optimization. Zbl 1464.90101
Shehu, Yekini; Vuong, Phan Tu; Zemkoho, Alain
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
Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences. Zbl 07333781
Ramos, Alberto
2021
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
Solving SDP completely with an interior point oracle. Zbl 07368770
Lourenço, Bruno F.; Muramatsu, Masakazu; Tsuchiya, Takashi
2021
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
Modified gradient dynamic approach to the tensor complementarity problem. Zbl 1432.37105
Wang, Xuezhong; Che, Maolin; Qi, Liqun; Wei, Yimin
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
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
A derivative-free $$\mathcal{V} \mathcal{U}$$-algorithm for convex finite-max problems. Zbl 1443.90331
Hare, Warren; Planiden, Chayne; Sagastizábal, Claudia
2020
Identification of the friction function in a semilinear system for gas transport through a network. Zbl 1443.35188
Hintermüller, Michael; Strogies, Nikolai
2020
ADMM for multiaffine constrained optimization. Zbl 1428.90132
Gao, Wenbo; Goldfarb, Donald; Curtis, Frank E.
2020
An investigation of Newton-sketch and subsampled Newton methods. Zbl 1454.90112
Berahas, Albert S.; Bollapragada, Raghu; Nocedal, Jorge
2020
Convex feasibility problems on uniformly convex metric spaces. Zbl 07136207
Choi, Byoung Jin; Ji, Un Cig; Lim, Yongdo
2020
Solving mixed-integer nonlinear programmes using adaptively refined mixed-integer linear programmes. Zbl 1432.90089
Burlacu, Robert; Geißler, Björn; Schewe, Lars
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 robust multi-batch L-BFGS method for machine learning. Zbl 1430.90523
Berahas, Albert S.; Takáč, Martin
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
Gradient methods exploiting spectral properties. Zbl 1454.90042
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao
2020
Orthogonal canonical correlation analysis and applications. Zbl 1455.65059
Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang
2020
Stability analysis of a class of sparse optimization problems. Zbl 1454.90026
Xu, Jialiang; Zhao, Yun-Bin
2020
Complexity and performance of an augmented Lagrangian algorithm. Zbl 1464.90094
Birgin, E. G.; Martínez, J. M.
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
A superlinearly convergent nonmonotone quasi-Newton method for unconstrained multiobjective optimization. Zbl 1464.90090
2020
Deflation for semismooth equations. Zbl 1467.65067
Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M.
2020
A generic online acceleration scheme for optimization algorithms via relaxation and inertia. Zbl 1407.65062
Iutzeler, Franck; Hendrickx, J. M.
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
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
Nonlinear iterative methods for solving the split common null point problem in Banach spaces. Zbl 1417.49018
Suantai, Suthep; Shehu, Yekini; Cholamjiak, Prasit
2019
A modified Hestenes-Stiefel conjugate gradient method with an optimal property. Zbl 1461.65114
Amini, Keyvan; Faramarzi, Parvaneh; Pirfalah, Nasrin
2019
Complexity of first-order inexact Lagrangian and penalty methods for conic convex programming. Zbl 1407.90256
Necoara, Ion; Patrascu, A.; Glineur, F.
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
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
Quasi-Newton methods: superlinear convergence without line searches for self-concordant functions. Zbl 1409.90091
Gao, Wenbo; Goldfarb, Donald
2019
Adaptive full Newton-step infeasible interior-point method for sufficient horizontal LCP. Zbl 1429.90098
Lesaja, Goran; Potra, Florian
2019
Splitting methods for the eigenvalue complementarity problem. Zbl 1431.90157
Iusem, Alfredo N.; Júdice, Joaquim J.; Sessa, Valentina; Sarabando, Paula
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
A feasible direction algorithm for nonlinear second-order cone programs. Zbl 1431.90146
Canelas, Alfredo; Carrasco, Miguel; López, Julio
2019
Non-smooth DC-constrained optimization: constraint qualification and minimizing methodologies. Zbl 1417.49016
van Ackooij, W.; de Oliveira, Wellington
2019
A limited-memory quasi-Newton algorithm for bound-constrained non-smooth optimization. Zbl 1406.49032
Keskar, N.; Wächter, Andreas
2019
Anchor points in multiobjective optimization: definition, characterization and detection. Zbl 1430.90511
2019
The cyclic Douglas-Rachford algorithm with $$r$$-sets-Douglas-Rachford operators. Zbl 1461.65117
Aragón Artacho, Francisco J.; Censor, Yair; Gibali, Aviv
2019
FOM – a MATLAB toolbox of first-order methods for solving convex optimization problems. Zbl 1461.65127
Beck, Amir; Guttmann-Beck, Nili
2019
On the elimination of inessential points in the smallest enclosing ball problem. Zbl 1407.90257
Pronzato, Luc
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
Stochastic proximal quasi-Newton methods for non-convex composite optimization. Zbl 07111868
Wang, Xiaoyu; Wang, Xiao; Yuan, Ya-Xiang
2019
Rapid infeasibility detection in a mixed logarithmic barrier-augmented Lagrangian method for nonlinear optimization. Zbl 1461.65122
Armand, Paul; Tran, Ngoc Nguyen
2019
Finite convergence of an active signature method to local minima of piecewise linear functions. Zbl 1428.90177
Griewank, Andreas; Walther, Andrea
2019
Clustering methods for large scale geometrical global optimization. Zbl 1429.90053
Bagattini, Francesco; Schoen, Fabio; Tigli, Luca
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
An alternating minimization method for robust principal component analysis. Zbl 1436.65071
Shen, Yuan; Xu, Hongyu; Liu, Xin
2019
Using a spectral scaling structured BFGS method for constrained nonlinear least squares. Zbl 1415.90117
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
Longest $$(s, t)$$-paths in $$L$$-shaped grid graphs. Zbl 1414.05164
Keshavarz-Kohjerdi, Fatemeh; Bagheri, Alireza
2019
A pattern search and implicit filtering algorithm for solving linearly constrained minimization problems with noisy objective functions. Zbl 1415.90148
Diniz-Ehrhardt, M. A.; Ferreira, D. G.; Santos, S. A.
2019
A matrix-free line-search algorithm for nonconvex optimization. Zbl 1416.90023
Zhou, W.; Akrotirianakis, I. G.; Yektamaram, S.; Griffin, J. D.
2019
Elloumi, Sourour; Lambert, Amélie
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 non-monotone linear search algorithm with mixed direction on Stiefel manifold. Zbl 1411.90326
Oviedo, Harry; Lara, Hugo; Dalmau, Oscar
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
A universal modification of the linear coupling method. Zbl 1421.90116
Guminov, Sergey; Gasnikov, Alexander; Anikin, Anton; Gornov, Alexander
2019
SCIP: global optimization of mixed-integer nonlinear programs in a branch-and-cut framework. Zbl 1398.90112
Vigerske, Stefan; Gleixner, Ambros
2018
Proximal extrapolated gradient methods for variational inequalities. Zbl 06865652
Malitsky, Yu
2018
ARC$$_q$$: a new adaptive regularization by cubics. Zbl 1397.90356
Dussault, Jean-Pierre
2018
Computationally relevant generalized derivatives: theory, evaluation and applications. Zbl 1401.49016
Barton, Paul I.; Khan, Kamil A.; Stechlinski, Peter; Watson, Harry A. J.
2018
Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization. Zbl 1388.35036
Eigel, M.; Sturm, Kevin
2018
Branch-locking AD techniques for nonsmooth composite functions and nonsmooth implicit functions. Zbl 1401.90270
Khan, Kamil A.
2018
An extension of Chubanov’s polynomial-time linear programming algorithm to second-order cone programming. Zbl 1461.65167
Kitahara, T.; Tsuchiya, T.
2018
Exploiting integrality in the global optimization of mixed-integer nonlinear programming problems with BARON. Zbl 1398.90110
Kılınç, Mustafa R.; Sahinidis, Nikolaos V.
2018
Minimization of Akaike’s information criterion in linear regression analysis via mixed integer nonlinear program. Zbl 1398.90111
Kimura, Keiji; Waki, Hayato
2018
Nonsmooth DC programming approach to clusterwise linear regression: optimality conditions and algorithms. Zbl 1390.90436
Bagirov, A. M.; Ugon, J.
2018
Numerical solution of optimal control problems with explicit and implicit switches. Zbl 1458.49024
Bock, Hans Georg; Kirches, Christian; Meyer, Andreas; Potschka, Andreas
2018
A framework for solving mixed-integer semidefinite programs. Zbl 1398.90109
Gally, Tristan; Pfetsch, Marc E.; Ulbrich, Stefan
2018
An improved version of Chubanov’s method for solving a homogeneous feasibility problem. Zbl 1398.90173
Roos, Kees
2018
Space mapping techniques for the optimal inflow control of transmission lines. Zbl 1393.35256
Göttlich, S.; Teuber, C.
2018
A general system for heuristic minimization of convex functions over non-convex sets. Zbl 1386.90182
Diamond, S.; Takapoui, R.; Boyd, S.
2018
A benchmark of selected algorithmic differentiation tools on some problems in computer vision and machine learning. Zbl 1453.65050
Srajer, Filip; Kukelova, Zuzana; Fitzgibbon, Andrew
2018
Algorithmic differentiation for piecewise smooth functions: a case study for robust optimization. Zbl 1401.90168
Fiege, Sabrina; Walther, Andrea; Kulshreshtha, Kshitij; Griewank, Andreas
2018
Integrating Lipschitzian dynamical systems using piecewise algorithmic differentiation. Zbl 1401.65070
Griewank, Andreas; Hasenfelder, Richard; Radons, Manuel; Lehmann, Lutz; Streubel, Tom
2018
On solving the minimization problem and the fixed-point problem for a finite family of non-expansive mappings in CAT(0) spaces. Zbl 06865659
Cuntavepanit, Asawathep; Phuengrattana, Withun
2018
On the complexity of parallel coordinate descent. Zbl 1461.65187
Tappenden, Rachael; Takáč, Martin; Richtárik, Peter
2018
trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem. Zbl 1390.35364
Lenders, Felix; Kirches, C.; Potschka, A.
2018
Equivariant perturbation in Gomory and Johnson’s infinite group problem. V: Software for the continuous and discontinuous 1-row case. Zbl 1397.90273
Hong, Chun Yu; Köppe, Matthias; Zhou, Yuan
2018
Solving parameter estimation problems with discrete adjoint exponential integrators. Zbl 1401.49050
Römer, Ulrich; Narayanamurthi, Mahesh; Sandu, Adrian
2018
Towards a full higher order AD-based continuation and bifurcation framework. Zbl 1453.65439
Charpentier, Isabelle; Cochelin, Bruno
2018
Piecewise linear secant approximation via algorithmic piecewise differentiation. Zbl 1408.90322
Griewank, Andreas; Streubel, Tom; Lehmann, Lutz; Radons, Manuel; Hasenfelder, Richard
2018
Divide-and-conquer checkpointing for arbitrary programs with no user annotation. Zbl 1455.65037
Siskind, Jeffrey Mark; Pearlmutter, Barak A.
2018
Low rank updates in preconditioning the saddle point systems arising from data assimilation problems. Zbl 1398.90178
Fisher, M.; Gratton, S.; Gürol, S.; Trémolet, Y.; Vasseur, X.
2018
A priori stopping rule for an iterative Bregman method for optimal control problems. Zbl 1390.49031
Pörner, Frank
2018
Dynamic optimization of dual-mode hybrid systems with state-dependent switching conditions. Zbl 1390.49039
Blanchard, Eunice; Loxton, Ryan; Rehbock, Volker
2018
A modified Hestense-Stiefel conjugate gradient method close to the memoryless BFGS quasi-Newton method. Zbl 1397.90361
Li, Min
2018
FarRSA for $$\ell_1$$-regularized convex optimization: local convergence and numerical experience. Zbl 1390.49040
Chen, Tianyi; Curtis, Frank E.; Robinson, Daniel P.
2018
Parallelization of the FICO Xpress-Optimizer. Zbl 1397.90277
Berthold, Timo; Farmer, James; Heinz, Stefan; Perregaard, Michael
2018
A one-shot optimization framework with additional equality constraints applied to multi-objective aerodynamic shape optimization. Zbl 1397.90360
Kusch, Lisa; Albring, T.; Walther, A.; Gauger, N. R.
2018
Proximal gradient method with automatic selection of the parameter by automatic differentiation. Zbl 1397.90362
Li, Yingyi; Zhang, Haibin; Li, Zhibao; Gao, Huan
2018
Validated computation of the local truncation error of Runge-Kutta methods with automatic differentiation. Zbl 1397.65068
Mullier, Olivier; Chapoutot, Alexandre; Alexandre dit Sandretto, Julien
2018
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#### Cited by 8,205 Authors

 41 Martínez, José Mario 38 Qi, Liqun 36 Lasserre, Jean-Bernard 33 Dang Van Hieu 33 Dương Việt Thông 33 Kanzow, Christian 32 Liu, Hongwei 32 Terlaky, Tamás 31 Xia, Yong 30 Babaie-Kafaki, Saman 30 Bagirov, Adil M. 29 Pardalos, Panos M. 27 Bai, Yanqin 27 Huang, Zheng-Hai 26 Salahi, Maziar 25 Fukushima, Masao 25 Henrion, Didier 25 Júdice, Joaquim João 25 Le Thi, Hoai An 25 Nie, Jiawang 24 Liberti, Leo 24 Pang, Jong-Shi 24 Sahinidis, Nikolaos V. 24 Wang, Guoqiang 23 Birgin, Ernesto G. 23 Fan, Jinyan 23 Hladík, Milan 23 Toint, Philippe L. 22 Chen, Jein-Shan 22 Curtis, Frank E. 22 Mitchell, John E. 22 Pham Dinh Tao 22 Santos, Sandra Augusta 22 Schmidt, Martin 22 Shehu, Yekini 22 Yang, Xiaoqi 21 Dai, Yu-Hong 21 de Klerk, Etienne 21 Gaudioso, Manlio 21 Sciandrone, Marco 20 Andrei, Neculai 20 Gondzio, Jacek 20 Lisser, Abdel 20 Locatelli, Marco 20 Oliveira, Ricardo C. L. F. 20 Pang, Liping 20 Seeger, Alberto 19 Boyd, Stephen Poythress 19 Griewank, Andreas 19 Kheirfam, Behrouz 19 Mahdavi-Amiri, Nezam 19 Pan, Shaohua 19 Peres, Pedro L. D. 19 Walther, Andrea 19 Zhang, Shuzhong 19 Zhu, Detong 18 Barton, Paul I. 18 Gibali, Aviv 18 Li, Duan 18 Mewomo, Oluwatosin Temitope 18 Van Ackooij, Wim 18 Wolkowicz, Henry 17 Kojima, Masakazu 17 Neumaier, Arnold 17 Oliveira, Aurelio Ribeiro Leite 17 Robinson, Daniel P. 16 Amini, Keyvan 16 Dong, Qiaoli 16 Monteiro, Renato D. C. 16 Peyghami, Mohammad Reza 16 Sotirov, Renata 15 Andreani, Roberto 15 Audet, Charles 15 Beliakov, Gleb 15 Cartis, Coralia 15 Censor, Yair 15 Fang, Shu-Cherng 15 Floudas, Christodoulos Achilleus 15 Ghanbari, Reza 15 Jian, Jinbao 15 Kanno, Yoshihiro 15 Kim, Sunyoung 15 Li, Guoyin 15 Mäkelä, Marko Mikael 15 Richtárik, Peter 15 Solodov, Mikhail V. 15 Teo, Kok Lay 15 Tran Dinh Quoc 15 Zhou, Anwa 14 Anjos, Miguel F. 14 Diehl, Moritz Mathias 14 Gould, Nicholas Ian Mark 14 Hinze, Michael 14 Izuchukwu, Chinedu 14 Kunisch, Karl 14 Lee, Jon 14 Ling, Chen 14 Lucidi, Stefano 14 Ma, Changfeng 14 Morini, Benedetta ...and 8,105 more Authors
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#### Cited in 484 Journals

 421 Computational Optimization and Applications 397 Optimization Methods & Software 357 Mathematical Programming. Series A. Series B 339 Journal of Global Optimization 335 Journal of Optimization Theory and Applications 266 European Journal of Operational Research 200 Optimization 169 SIAM Journal on Optimization 169 Optimization Letters 153 Journal of Computational and Applied Mathematics 146 Applied Mathematics and Computation 129 Automatica 120 Numerical Algorithms 90 Computers & Operations Research 84 Annals of Operations Research 74 Mathematical Problems in Engineering 71 Optimization and Engineering 68 Journal of Industrial and Management Optimization 65 International Journal of Control 61 Operations Research Letters 61 Mathematical Programming Computation 56 Linear Algebra and its Applications 52 Mathematical Methods of Operations Research 49 Computational and Applied Mathematics 47 Discrete Applied Mathematics 45 Numerical Functional Analysis and Optimization 44 Applied Numerical Mathematics 43 Journal of the Franklin Institute 43 SIAM Journal on Scientific Computing 40 Computers & Mathematics with Applications 39 Computer Methods in Applied Mechanics and Engineering 39 Journal of Applied Mathematics and Computing 38 INFORMS Journal on Computing 36 International Journal of Computer Mathematics 35 Systems & Control Letters 34 Journal of the Operations Research Society of China 33 Journal of Scientific Computing 31 Top 30 Applied Mathematical Modelling 28 SIAM Journal on Control and Optimization 28 International Journal of Robust and Nonlinear Control 28 Computational Management Science 27 4OR 26 Journal of Computational Physics 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Asia-Pacific Journal of Operational Research 26 Set-Valued and Variational Analysis 26 Numerical Algebra, Control and Optimization 25 Information Sciences 25 Automation and Remote Control 25 Journal of Combinatorial Optimization 24 Journal of Mathematical Analysis and Applications 24 Operations Research 23 Abstract and Applied Analysis 23 CEJOR. Central European Journal of Operations Research 22 Journal of Inequalities and Applications 22 EURO Journal on Computational Optimization 21 European Journal of Control 21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 20 Mathematics of Computation 20 Neural Networks 19 Cybernetics and Systems Analysis 18 Mathematics of Operations Research 18 International Transactions in Operational Research 18 Journal of Applied Mathematics 16 Calcolo 16 Mathematics and Computers in Simulation 16 Numerische Mathematik 16 SIAM Journal on Matrix Analysis and Applications 16 Neural Computation 16 Computational Statistics and Data Analysis 16 Journal of Machine Learning Research (JMLR) 15 Inverse Problems 15 Acta Mathematicae Applicatae Sinica. English Series 15 Positivity 15 Discrete Optimization 15 Science China. Mathematics 14 Fuzzy Sets and Systems 14 Theoretical Computer Science 14 Japan Journal of Industrial and Applied Mathematics 14 Pattern Recognition 14 Numerical Linear Algebra with Applications 14 Vietnam Journal of Mathematics 14 Nonlinear Analysis. Hybrid Systems 13 Advances in Computational Mathematics 13 International Journal of Systems Science. Principles and Applications of Systems and Integration 12 The Annals of Statistics 12 Applied Mathematics and Optimization 12 Optimal Control Applications & Methods 12 RAIRO. Operations Research 12 Journal of Fixed Point Theory and Applications 11 Acta Mathematica Sinica. English Series 11 Networks and Spatial Economics 11 Proceedings of the Steklov Institute of Mathematics 10 Computing 10 Kybernetika 10 SIAM Journal on Numerical Analysis 10 International Journal of Adaptive Control and Signal Processing 10 Differential Equations 10 Foundations of Computational Mathematics ...and 384 more Journals
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#### Cited in 60 Fields

 4,780 Operations research, mathematical programming (90-XX) 1,993 Numerical analysis (65-XX) 1,093 Calculus of variations and optimal control; optimization (49-XX) 656 Systems theory; control (93-XX) 481 Computer science (68-XX) 364 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 283 Operator theory (47-XX) 279 Statistics (62-XX) 245 Linear and multilinear algebra; matrix theory (15-XX) 202 Partial differential equations (35-XX) 156 Mechanics of deformable solids (74-XX) 127 Information and communication theory, circuits (94-XX) 126 Combinatorics (05-XX) 115 Biology and other natural sciences (92-XX) 100 Ordinary differential equations (34-XX) 82 Fluid mechanics (76-XX) 79 Convex and discrete geometry (52-XX) 64 Probability theory and stochastic processes (60-XX) 48 Algebraic geometry (14-XX) 45 Functional analysis (46-XX) 39 Mechanics of particles and systems (70-XX) 36 Real functions (26-XX) 36 Dynamical systems and ergodic theory (37-XX) 28 General topology (54-XX) 26 Quantum theory (81-XX) 25 Approximations and expansions (41-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Optics, electromagnetic theory (78-XX) 19 Classical thermodynamics, heat transfer (80-XX) 19 Geophysics (86-XX) 17 Commutative algebra (13-XX) 15 Nonassociative rings and algebras (17-XX) 14 History and biography (01-XX) 14 Integral transforms, operational calculus (44-XX) 13 Number theory (11-XX) 12 Integral equations (45-XX) 12 Geometry (51-XX) 12 Differential geometry (53-XX) 11 Field theory and polynomials (12-XX) 9 Mathematical logic and foundations (03-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Measure and integration (28-XX) 9 Functions of a complex variable (30-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Associative rings and algebras (16-XX) 6 General and overarching topics; collections (00-XX) 5 General algebraic systems (08-XX) 5 Topological groups, Lie groups (22-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Mathematics education (97-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 3 Group theory and generalizations (20-XX) 3 Manifolds and cell complexes (57-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 1 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX)