Sun, Shigeng; Nocedal, Jorge A trust region method for noisy unconstrained optimization. (English) Zbl 1526.65023 Math. Program. 202, No. 1-2 (A), 445-472 (2023). MSC: 65K05 65Y20 90C30 PDFBibTeX XMLCite \textit{S. Sun} and \textit{J. Nocedal}, Math. Program. 202, No. 1--2 (A), 445--472 (2023; Zbl 1526.65023) Full Text: DOI arXiv
Gratton, Serge; Kopaničáková, Alena; Toint, Philippe L. Multilevel objective-function-free optimization with an application to neural networks training. (English) Zbl 1522.90201 SIAM J. Optim. 33, No. 4, 2772-2800 (2023). MSC: 90C30 65K05 90C26 90C06 65M55 68T07 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Optim. 33, No. 4, 2772--2800 (2023; Zbl 1522.90201) Full Text: DOI arXiv
Antil, Harbir; Kouri, Drew P.; Ridzal, Denis ALESQP: an augmented Lagrangian equality-constrained SQP method for optimization with general constraints. (English) Zbl 1516.90093 SIAM J. Optim. 33, No. 1, 237-266 (2023). MSC: 90C30 90C55 90C39 93C20 49K20 49J20 PDFBibTeX XMLCite \textit{H. Antil} et al., SIAM J. Optim. 33, No. 1, 237--266 (2023; Zbl 1516.90093) Full Text: DOI
Larson, Jeffrey; Padidar, Misha; Wild, Stefan M. Modeling approaches for addressing unrelaxable bound constraints with unconstrained optimization methods. (English) Zbl 1515.90132 Optim. Lett. 17, No. 3, 561-589 (2023). MSC: 90C30 PDFBibTeX XMLCite \textit{J. Larson} et al., Optim. Lett. 17, No. 3, 561--589 (2023; Zbl 1515.90132) Full Text: DOI arXiv
Liu, Xin-Wei; Dai, Yu-Hong; Huang, Ya-Kui; Sun, Jie A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints. (English) Zbl 1512.90178 Math. Comput. 92, No. 341, 1301-1330 (2023). MSC: 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{X.-W. Liu} et al., Math. Comput. 92, No. 341, 1301--1330 (2023; Zbl 1512.90178) Full Text: DOI arXiv
Liu, Xin-Wei; Dai, Yu-Hong; Huang, Ya-Kui A primal-dual interior-point relaxation method with global and rapidly local convergence for nonlinear programs. (English) Zbl 1508.90071 Math. Methods Oper. Res. 96, No. 3, 351-382 (2022). MSC: 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{X.-W. Liu} et al., Math. Methods Oper. Res. 96, No. 3, 351--382 (2022; Zbl 1508.90071) Full Text: DOI arXiv
Kanzow, Christian; Karl, Veronika; Steck, Daniel Daniel; Wachsmuth Safeguarded augmented Lagrangian methods in Banach spaces. (English) Zbl 1507.90189 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 241-282 (2022). MSC: 90C48 65K10 PDFBibTeX XMLCite \textit{C. Kanzow} et al., ISNM, Int. Ser. Numer. Math. 172, 241--282 (2022; Zbl 1507.90189) Full Text: DOI
Chen, Liang; Zhu, Junyuan; Zhao, Xinyuan Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming. (English) Zbl 1518.65064 Sci. China, Math. 65, No. 11, 2397-2422 (2022). MSC: 65K05 49J52 90C22 26E25 PDFBibTeX XMLCite \textit{L. Chen} et al., Sci. China, Math. 65, No. 11, 2397--2422 (2022; Zbl 1518.65064) Full Text: DOI arXiv
Prado, Renan W.; Santos, Sandra A.; Simões, Lucas E. A. On the convergence analysis of a penalty algorithm for nonsmooth optimization and its performance for solving hard-sphere problems. (English) Zbl 1500.65032 Numer. Algorithms 91, No. 2, 933-957 (2022). MSC: 65K05 90C26 90C56 90C46 PDFBibTeX XMLCite \textit{R. W. Prado} et al., Numer. Algorithms 91, No. 2, 933--957 (2022; Zbl 1500.65032) Full Text: DOI
Jian, Jinbao; Tang, Chunming; Hu, Qingjie; Han, Daolan A sequential quadratic programming algorithm without a penalty function, a filter or a constraint qualification for inequality constrained optimization. (English) Zbl 1489.90213 Optimization 71, No. 6, 1603-1635 (2022). MSC: 90C55 90C30 65K05 PDFBibTeX XMLCite \textit{J. Jian} et al., Optimization 71, No. 6, 1603--1635 (2022; Zbl 1489.90213) Full Text: DOI
Kimiaei, Morteza; Neumaier, Arnold; Azmi, Behzad LMBOPT: a limited memory method for bound-constrained optimization. (English) Zbl 1489.90185 Math. Program. Comput. 14, No. 2, 271-318 (2022). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{M. Kimiaei} et al., Math. Program. Comput. 14, No. 2, 271--318 (2022; Zbl 1489.90185) Full Text: DOI
Cristofari, Andrea; DiPillo, Gianni; Liuzzi, Giampaolo; Lucidi, Stefano An augmented Lagrangian method exploiting an active-set strategy and second-order information. (English) Zbl 1492.90170 J. Optim. Theory Appl. 193, No. 1-3, 300-323 (2022). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{A. Cristofari} et al., J. Optim. Theory Appl. 193, No. 1--3, 300--323 (2022; Zbl 1492.90170) Full Text: DOI arXiv
Kouri, Drew P.; Surowiec, Thomas M. A primal-dual algorithm for risk minimization. (English) Zbl 1500.90035 Math. Program. 193, No. 1 (A), 337-363 (2022). MSC: 90C15 65K10 93E20 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, Math. Program. 193, No. 1 (A), 337--363 (2022; Zbl 1500.90035) Full Text: DOI
Kirches, Christian; Larson, Jeffrey; Leyffer, Sven; Manns, Paul Sequential linearization method for bound-constrained mathematical programs with complementarity constraints. (English) Zbl 1484.90126 SIAM J. Optim. 32, No. 1, 75-99 (2022). MSC: 90C33 90C55 PDFBibTeX XMLCite \textit{C. Kirches} et al., SIAM J. Optim. 32, No. 1, 75--99 (2022; Zbl 1484.90126) Full Text: DOI arXiv
Dostál, Zdeněk; Vlach, Oldřich An accelerated augmented Lagrangian algorithm with adaptive orthogonalization strategy for bound and equality constrained quadratic programming and its application to large-scale contact problems of elasticity. (English) Zbl 1469.90101 J. Comput. Appl. Math. 394, Article ID 113565, 10 p. (2021). MSC: 90C20 65K05 PDFBibTeX XMLCite \textit{Z. Dostál} and \textit{O. Vlach}, J. Comput. Appl. Math. 394, Article ID 113565, 10 p. (2021; Zbl 1469.90101) Full Text: DOI
Berahas, Albert S.; Curtis, Frank E.; Robinson, Daniel; Zhou, Baoyu Sequential quadratic optimization for nonlinear equality constrained stochastic optimization. (English) Zbl 1469.90134 SIAM J. Optim. 31, No. 2, 1352-1379 (2021). MSC: 90C30 90C55 65K05 65K10 90C15 PDFBibTeX XMLCite \textit{A. S. Berahas} et al., SIAM J. Optim. 31, No. 2, 1352--1379 (2021; Zbl 1469.90134) Full Text: DOI arXiv
Chen, X.; Toint, Ph. L. High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. (English) Zbl 1465.90095 Math. Program. 187, No. 1-2 (A), 47-78 (2021). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Ph. L. Toint}, Math. Program. 187, No. 1--2 (A), 47--78 (2021; Zbl 1465.90095) Full Text: DOI arXiv
Liu, Changshuo; Boumal, Nicolas Simple algorithms for optimization on Riemannian manifolds with constraints. (English) Zbl 1468.65072 Appl. Math. Optim. 82, No. 3, 949-981 (2020). MSC: 65K05 90C30 53A99 PDFBibTeX XMLCite \textit{C. Liu} and \textit{N. Boumal}, Appl. Math. Optim. 82, No. 3, 949--981 (2020; Zbl 1468.65072) Full Text: DOI arXiv
Birgin, E. G.; Martínez, J. M. Complexity and performance of an augmented Lagrangian algorithm. (English) Zbl 1464.90094 Optim. Methods Softw. 35, No. 5, 885-920 (2020). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Optim. Methods Softw. 35, No. 5, 885--920 (2020; Zbl 1464.90094) Full Text: DOI arXiv
Pfeiffer, Laurent Optimality conditions in variational form for non-linear constrained stochastic control problems. (English) Zbl 1452.90230 Math. Control Relat. Fields 10, No. 3, 493-526 (2020). MSC: 90C15 93E20 49J53 49K99 PDFBibTeX XMLCite \textit{L. Pfeiffer}, Math. Control Relat. Fields 10, No. 3, 493--526 (2020; Zbl 1452.90230) Full Text: DOI arXiv
Leyffer, Sven; Vanaret, Charlie An augmented Lagrangian filter method. (English) Zbl 1454.90088 Math. Methods Oper. Res. 92, No. 2, 343-376 (2020). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Leyffer} and \textit{C. Vanaret}, Math. Methods Oper. Res. 92, No. 2, 343--376 (2020; Zbl 1454.90088) Full Text: DOI
Wauters, Jolan; Keane, Andy; Degroote, Joris Development of an adaptive infill criterion for constrained multi-objective asynchronous surrogate-based optimization. (English) Zbl 1450.90048 J. Glob. Optim. 78, No. 1, 137-160 (2020). MSC: 90C29 PDFBibTeX XMLCite \textit{J. Wauters} et al., J. Glob. Optim. 78, No. 1, 137--160 (2020; Zbl 1450.90048) Full Text: DOI Link
Gratton, S.; Toint, Ph. L. A note on solving nonlinear optimization problems in variable precision. (English) Zbl 1446.90149 Comput. Optim. Appl. 76, No. 3, 917-933 (2020). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Gratton} and \textit{Ph. L. Toint}, Comput. Optim. Appl. 76, No. 3, 917--933 (2020; Zbl 1446.90149) Full Text: DOI arXiv
Galabova, I. L.; Hall, J. A. J. The ‘Idiot’ crash quadratic penalty algorithm for linear programming and its application to linearizations of quadratic assignment problems. (English) Zbl 1440.90022 Optim. Methods Softw. 35, No. 3, 488-501 (2020). MSC: 90C05 90B80 PDFBibTeX XMLCite \textit{I. L. Galabova} and \textit{J. A. J. Hall}, Optim. Methods Softw. 35, No. 3, 488--501 (2020; Zbl 1440.90022) Full Text: DOI arXiv Link
Hante, Falk M.; Schmidt, Martin Complementarity-based nonlinear programming techniques for optimal mixing in gas networks. (English) Zbl 1431.90017 EURO J. Comput. Optim. 7, No. 3, 299-323 (2019). MSC: 90B06 90C20 90C11 90C30 PDFBibTeX XMLCite \textit{F. M. Hante} and \textit{M. Schmidt}, EURO J. Comput. Optim. 7, No. 3, 299--323 (2019; Zbl 1431.90017) Full Text: DOI
Englert, Tobias; Völz, Andreas; Mesmer, Felix; Rhein, Sönke; Graichen, Knut A software framework for embedded nonlinear model predictive control using a gradient-based augmented Lagrangian approach (GRAMPC). (English) Zbl 07123819 Optim. Eng. 20, No. 3, 769-809 (2019). MSC: 65Kxx 35Kxx 35Jxx 65Nxx 65Mxx 35K15 65M60 65K05 65N30 35J25 PDFBibTeX XMLCite \textit{T. Englert} et al., Optim. Eng. 20, No. 3, 769--809 (2019; Zbl 07123819) Full Text: DOI arXiv
Wang, Guoqiang; Yu, Bo PAL-Hom method for QP and an application to LP. (English) Zbl 1414.90224 Comput. Optim. Appl. 73, No. 1, 311-352 (2019). MSC: 90C05 90C20 PDFBibTeX XMLCite \textit{G. Wang} and \textit{B. Yu}, Comput. Optim. Appl. 73, No. 1, 311--352 (2019; Zbl 1414.90224) Full Text: DOI arXiv
Armand, Paul; Tran, Ngoc Nguyen An augmented Lagrangian method for equality constrained optimization with rapid infeasibility detection capabilities. (English) Zbl 1414.90323 J. Optim. Theory Appl. 181, No. 1, 197-215 (2019). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{P. Armand} and \textit{N. N. Tran}, J. Optim. Theory Appl. 181, No. 1, 197--215 (2019; Zbl 1414.90323) Full Text: DOI HAL
Chen, Xiaojun; Toint, Ph. L.; Wang, H. Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. (English) Zbl 1411.90318 SIAM J. Optim. 29, No. 1, 874-903 (2019). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} et al., SIAM J. Optim. 29, No. 1, 874--903 (2019; Zbl 1411.90318) Full Text: DOI arXiv
Paternain, Santiago; Mokhtari, Aryan; Ribeiro, Alejandro A Newton-based method for nonconvex optimization with fast evasion of saddle points. (English) Zbl 1410.90202 SIAM J. Optim. 29, No. 1, 343-368 (2019). MSC: 90C30 90C06 PDFBibTeX XMLCite \textit{S. Paternain} et al., SIAM J. Optim. 29, No. 1, 343--368 (2019; Zbl 1410.90202) Full Text: DOI arXiv
Li, Yaoyi; Lu, Hongtao On multi-modal fusion learning in constraint propagation. (English) Zbl 1440.68227 Inf. Sci. 462, 204-217 (2018). MSC: 68T05 62H30 90C26 PDFBibTeX XMLCite \textit{Y. Li} and \textit{H. Lu}, Inf. Sci. 462, 204--217 (2018; Zbl 1440.68227) Full Text: DOI
Caliciotti, Andrea; Fasano, Giovanni; Nash, Stephen G.; Roma, Massimo An adaptive truncation criterion, for linesearch-based truncated Newton methods in large scale nonconvex optimization. (English) Zbl 1525.90267 Oper. Res. Lett. 46, No. 1, 7-12 (2018). MSC: 90C06 90C26 90C52 90C30 65K05 PDFBibTeX XMLCite \textit{A. Caliciotti} et al., Oper. Res. Lett. 46, No. 1, 7--12 (2018; Zbl 1525.90267) Full Text: DOI Link
Ma, Ding; Judd, Kenneth L.; Orban, Dominique; Saunders, Michael A. Stabilized optimization via an NCL algorithm. (English) Zbl 1461.65174 Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 4th international conference, NAO-IV, Muscat, Oman, January 2–5, 2017. Cham: Springer. Springer Proc. Math. Stat. 235, 173-191 (2018). MSC: 65K05 49M37 90-04 90C30 PDFBibTeX XMLCite \textit{D. Ma} et al., Springer Proc. Math. Stat. 235, 173--191 (2018; Zbl 1461.65174) Full Text: DOI
Kuhlmann, Renke; Büskens, Christof A primal-dual augmented Lagrangian penalty-interior-point filter line search algorithm. (English) Zbl 1394.49025 Math. Methods Oper. Res. 87, No. 3, 451-483 (2018). MSC: 49M05 49M15 49M29 49M37 90C06 90C26 90C30 90C51 PDFBibTeX XMLCite \textit{R. Kuhlmann} and \textit{C. Büskens}, Math. Methods Oper. Res. 87, No. 3, 451--483 (2018; Zbl 1394.49025) Full Text: DOI
Haeser, Gabriel A second-order optimality condition with first- and second-order complementarity associated with global convergence of algorithms. (English) Zbl 1391.90636 Comput. Optim. Appl. 70, No. 2, 615-639 (2018). MSC: 90C46 90C30 PDFBibTeX XMLCite \textit{G. Haeser}, Comput. Optim. Appl. 70, No. 2, 615--639 (2018; Zbl 1391.90636) Full Text: DOI
Amaioua, Nadir; Audet, Charles; Conn, Andrew R.; Le Digabel, Sébastien Efficient solution of quadratically constrained quadratic subproblems within the mesh adaptive direct search algorithm. (English) Zbl 1403.90618 Eur. J. Oper. Res. 268, No. 1, 13-24 (2018). MSC: 90C30 90C56 65K05 90C20 PDFBibTeX XMLCite \textit{N. Amaioua} et al., Eur. J. Oper. Res. 268, No. 1, 13--24 (2018; Zbl 1403.90618) Full Text: DOI
Birgin, E. G.; Haeser, G.; Ramos, Alberto Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points. (English) Zbl 1411.90316 Comput. Optim. Appl. 69, No. 1, 51-75 (2018). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Optim. Appl. 69, No. 1, 51--75 (2018; Zbl 1411.90316) Full Text: DOI
Zhang, Hao; Ni, Qin A new augmented Lagrangian method for equality constrained optimization with simple unconstrained subproblem. (English) Zbl 1405.90131 Discrete Dyn. Nat. Soc. 2017, Article ID 6406514, 9 p. (2017). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{Q. Ni}, Discrete Dyn. Nat. Soc. 2017, Article ID 6406514, 9 p. (2017; Zbl 1405.90131) Full Text: DOI
Beiranvand, Vahid; Hare, Warren; Lucet, Yves Best practices for comparing optimization algorithms. (English) Zbl 1390.90601 Optim. Eng. 18, No. 4, 815-848 (2017). MSC: 90C60 68W40 90-08 PDFBibTeX XMLCite \textit{V. Beiranvand} et al., Optim. Eng. 18, No. 4, 815--848 (2017; Zbl 1390.90601) Full Text: DOI arXiv
Kanzow, Christian; Steck, Daniel A generalized proximal-point method for convex optimization problems in Hilbert spaces. (English) Zbl 1383.90043 Optimization 66, No. 10, 1667-1676 (2017). MSC: 90C48 90C25 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{D. Steck}, Optimization 66, No. 10, 1667--1676 (2017; Zbl 1383.90043) Full Text: DOI
Armand, Paul; Omheni, Riadh A mixed logarithmic barrier-augmented Lagrangian method for nonlinear optimization. (English) Zbl 1370.49022 J. Optim. Theory Appl. 173, No. 2, 523-547 (2017). MSC: 49M15 65K05 90C06 90C30 90C51 PDFBibTeX XMLCite \textit{P. Armand} and \textit{R. Omheni}, J. Optim. Theory Appl. 173, No. 2, 523--547 (2017; Zbl 1370.49022) Full Text: DOI
Janka, Dennis; Kirches, Christian; Sager, Sebastian; Wächter, Andreas An SR1/BFGS SQP algorithm for nonconvex nonlinear programs with block-diagonal Hessian matrix. (English) Zbl 1391.90575 Math. Program. Comput. 8, No. 4, 435-459 (2016). MSC: 90C30 49M37 90C20 90C53 90C55 PDFBibTeX XMLCite \textit{D. Janka} et al., Math. Program. Comput. 8, No. 4, 435--459 (2016; Zbl 1391.90575) Full Text: DOI
Arreckx, Sylvain; Lambe, Andrew; Martins, Joaquim R. R. A.; Orban, Dominique A matrix-free augmented Lagrangian algorithm with application to large-scale structural design optimization. (English) Zbl 1364.90388 Optim. Eng. 17, No. 2, 359-384 (2016). MSC: 90C90 90C06 74P10 74S30 PDFBibTeX XMLCite \textit{S. Arreckx} et al., Optim. Eng. 17, No. 2, 359--384 (2016; Zbl 1364.90388) Full Text: DOI
Birgin, E. G.; Bueno, L. F.; Martínez, J. M. Sequential equality-constrained optimization for nonlinear programming. (English) Zbl 1357.90150 Comput. Optim. Appl. 65, No. 3, 699-721 (2016). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Comput. Optim. Appl. 65, No. 3, 699--721 (2016; Zbl 1357.90150) Full Text: DOI
Kanzow, Christian On the multiplier-penalty-approach for quasi-variational inequalities. (English) Zbl 1354.65141 Math. Program. 160, No. 1-2 (A), 33-63 (2016). Reviewer: Hans Benker (Merseburg) MSC: 65K15 90C33 49J40 PDFBibTeX XMLCite \textit{C. Kanzow}, Math. Program. 160, No. 1--2 (A), 33--63 (2016; Zbl 1354.65141) Full Text: DOI
El-Sobky, Bothina An interior-point penalty active-set trust-region algorithm. (English) Zbl 1348.90571 J. Egypt. Math. Soc. 24, No. 4, 672-680 (2016). MSC: 90C30 90C55 65K05 49M37 PDFBibTeX XMLCite \textit{B. El-Sobky}, J. Egypt. Math. Soc. 24, No. 4, 672--680 (2016; Zbl 1348.90571) Full Text: DOI
Curtis, Frank E.; Gould, Nicholas I. M.; Jiang, Hao; Robinson, Daniel P. Adaptive augmented Lagrangian methods: algorithms and practical numerical experience. (English) Zbl 1339.49023 Optim. Methods Softw. 31, No. 1, 157-186 (2016). MSC: 49M05 49M15 49M29 49M37 65K05 65K10 90C06 90C30 93B40 93A15 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Optim. Methods Softw. 31, No. 1, 157--186 (2016; Zbl 1339.49023) Full Text: DOI arXiv
Birgin, E. G.; Martínez, J. M. On the application of an augmented Lagrangian algorithm to some portfolio problems. (English) Zbl 1338.91126 EURO J. Comput. Optim. 4, No. 1, 79-92 (2016). MSC: 91G10 90C06 90C30 91-08 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, EURO J. Comput. Optim. 4, No. 1, 79--92 (2016; Zbl 1338.91126) Full Text: DOI
Houska, Boris; Frasch, Janick; Diehl, Moritz An augmented Lagrangian based algorithm for distributed nonconvex optimization. (English) Zbl 1345.90069 SIAM J. Optim. 26, No. 2, 1101-1127 (2016). MSC: 90C26 90C06 68W15 PDFBibTeX XMLCite \textit{B. Houska} et al., SIAM J. Optim. 26, No. 2, 1101--1127 (2016; Zbl 1345.90069) Full Text: DOI Link
Qiu, Songqiang; Chen, Zhongwen A globally convergent penalty-free method for optimization with equality constraints and simple bounds. (English) Zbl 1338.90394 Acta Appl. Math. 142, No. 1, 39-60 (2016). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{S. Qiu} and \textit{Z. Chen}, Acta Appl. Math. 142, No. 1, 39--60 (2016; Zbl 1338.90394) Full Text: DOI
Walther, Andrea; Biegler, Lorenz On an inexact trust-region SQP-filter method for constrained nonlinear optimization. (English) Zbl 1362.90344 Comput. Optim. Appl. 63, No. 3, 613-638 (2016). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{A. Walther} and \textit{L. Biegler}, Comput. Optim. Appl. 63, No. 3, 613--638 (2016; Zbl 1362.90344) Full Text: DOI
Echebest, Nélida; Sánchez, María Daniela; Schuverdt, María Laura Convergence results of an augmented Lagrangian method using the exponential penalty function. (English) Zbl 1332.65077 J. Optim. Theory Appl. 168, No. 1, 92-108 (2016). MSC: 65K05 90C30 49K99 PDFBibTeX XMLCite \textit{N. Echebest} et al., J. Optim. Theory Appl. 168, No. 1, 92--108 (2016; Zbl 1332.65077) Full Text: DOI
Janka, Dennis Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. (English) Zbl 1326.65076 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). 222 p. (2015). MSC: 65K10 49J15 49M37 65L80 62K05 62F10 90C30 90C35 PDFBibTeX XMLCite \textit{D. Janka}, Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2015; Zbl 1326.65076) Full Text: Link
Gonçalves, M. L. N.; Melo, J. G.; Prudente, L. F. Augmented Lagrangian methods for nonlinear programming with possible infeasibility. (English) Zbl 1353.90117 J. Glob. Optim. 63, No. 2, 297-318 (2015). MSC: 90C26 PDFBibTeX XMLCite \textit{M. L. N. Gonçalves} et al., J. Glob. Optim. 63, No. 2, 297--318 (2015; Zbl 1353.90117) Full Text: DOI
Gould, Nicholas I. M.; Loh, Yueling; Robinson, Daniel P. A nonmonotone filter SQP method: local convergence and numerical results. (English) Zbl 1326.49042 SIAM J. Optim. 25, No. 3, 1885-1911 (2015). MSC: 49M05 49M15 90C55 65K05 65K10 90C30 90C26 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., SIAM J. Optim. 25, No. 3, 1885--1911 (2015; Zbl 1326.49042) Full Text: DOI Link
Robinson, Daniel P. Primal-dual active-set methods for large-scale optimization. (English) Zbl 1329.49055 J. Optim. Theory Appl. 166, No. 1, 137-171 (2015). Reviewer: Hans Benker (Merseburg) MSC: 49M37 49M29 65K05 65K10 90C06 90C26 90C30 90C55 PDFBibTeX XMLCite \textit{D. P. Robinson}, J. Optim. Theory Appl. 166, No. 1, 137--171 (2015; Zbl 1329.49055) Full Text: DOI
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P. An adaptive augmented Lagrangian method for large-scale constrained optimization. (English) Zbl 1323.49015 Math. Program. 152, No. 1-2 (A), 201-245 (2015). Reviewer: Bülent Karasözen (Ankara) MSC: 49M05 49M29 49M37 65K05 65K10 90C06 90C30 93B40 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Math. Program. 152, No. 1--2 (A), 201--245 (2015; Zbl 1323.49015) Full Text: DOI
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L. CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization. (English) Zbl 1325.90004 Comput. Optim. Appl. 60, No. 3, 545-557 (2015). MSC: 90-04 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Comput. Optim. Appl. 60, No. 3, 545--557 (2015; Zbl 1325.90004) Full Text: DOI
Zhou, Zhengyong; Yu, Bo The flattened aggregate constraint homotopy method for nonlinear programming problems with many nonlinear constraints. (English) Zbl 1470.90136 Abstr. Appl. Anal. 2014, Article ID 430932, 14 p. (2014). MSC: 90C30 90C06 90C51 65K05 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{B. Yu}, Abstr. Appl. Anal. 2014, Article ID 430932, 14 p. (2014; Zbl 1470.90136) Full Text: DOI
Amini, Keyvan; Ahookhosh, Masoud A hybrid of adjustable trust-region and nonmonotone algorithms for unconstrained optimization. (English) Zbl 1427.90257 Appl. Math. Modelling 38, No. 9-10, 2601-2612 (2014). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{K. Amini} and \textit{M. Ahookhosh}, Appl. Math. Modelling 38, No. 9--10, 2601--2612 (2014; Zbl 1427.90257) Full Text: DOI
Nedelcu, Valentin; Necoara, Ion; Tran-Dinh, Quoc Computational complexity of inexact gradient augmented Lagrangian methods: application to constrained MPC. (English) Zbl 1322.90066 SIAM J. Control Optim. 52, No. 5, 3109-3134 (2014). Reviewer: Maxim Ivanov Todorov (San Andres Cholula) MSC: 90C25 49M29 90C46 PDFBibTeX XMLCite \textit{V. Nedelcu} et al., SIAM J. Control Optim. 52, No. 5, 3109--3134 (2014; Zbl 1322.90066) Full Text: DOI arXiv
Nocedal, Jorge; Öztoprak, Figen; Waltz, Richard A. An interior point method for nonlinear programming with infeasibility detection capabilities. (English) Zbl 1306.90152 Optim. Methods Softw. 29, No. 4, 837-854 (2014). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{J. Nocedal} et al., Optim. Methods Softw. 29, No. 4, 837--854 (2014; Zbl 1306.90152) Full Text: DOI
Xue, Dan; Sun, Wenyu; Qi, Liqun An alternating structured trust region algorithm for separable optimization problems with nonconvex constraints. (English) Zbl 1304.90166 Comput. Optim. Appl. 57, No. 2, 365-386 (2014). MSC: 90C26 PDFBibTeX XMLCite \textit{D. Xue} et al., Comput. Optim. Appl. 57, No. 2, 365--386 (2014; Zbl 1304.90166) Full Text: DOI
Kchouk, Bilel; Dussault, Jean-Pierre On per-iteration complexity of high order Chebyshev methods for sparse functions with banded Hessians. (English) Zbl 1298.49050 Numer. Algorithms 66, No. 4, 885-909 (2014). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 49M37 90C30 90C60 68Q25 PDFBibTeX XMLCite \textit{B. Kchouk} and \textit{J.-P. Dussault}, Numer. Algorithms 66, No. 4, 885--909 (2014; Zbl 1298.49050) Full Text: DOI
Birgin, Ernesto G.; Martínez, José Mario Practical augmented Lagrangian methods for constrained optimization. (English) Zbl 1339.90312 Fundamentals of Algorithms 10. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611973-35-8/pbk; 978-1-61197-336-5/ebook). xiii, 220 p. (2014). Reviewer: Karel Zimmermann (Praha) MSC: 90C30 90-02 90C26 65K05 00A69 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Practical augmented Lagrangian methods for constrained optimization. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2014; Zbl 1339.90312) Full Text: DOI
Gould, Nicholas I. M.; Loh, Yueling; Robinson, Daniel P. A filter method with unified step computation for nonlinear optimization. (English) Zbl 1301.49070 SIAM J. Optim. 24, No. 1, 175-209 (2014). Reviewer: Basilis Kokkinis (Athens) MSC: 49M05 49M15 65K05 65K10 90C55 90C30 90C26 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., SIAM J. Optim. 24, No. 1, 175--209 (2014; Zbl 1301.49070) Full Text: DOI Link
Yuan, Ya Xiang Analysis on a superlinearly convergent augmented Lagrangian method. (English) Zbl 1292.90287 Acta Math. Sin., Engl. Ser. 30, No. 1, 1-10 (2014). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{Y. X. Yuan}, Acta Math. Sin., Engl. Ser. 30, No. 1, 1--10 (2014; Zbl 1292.90287) Full Text: DOI
Jiménez, Alberto J. Sparse Hessian factorization in curved trajectories for unconstrained minimization. (English) Zbl 1282.65068 Optim. Methods Softw. 29, No. 1, 1-9 (2014). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. J. Jiménez}, Optim. Methods Softw. 29, No. 1, 1--9 (2014; Zbl 1282.65068) Full Text: DOI
Simon, J.-W.; Kreimeier, M.; Weichert, D. A selective strategy for shakedown analysis of engineering structures. (English) Zbl 1352.74231 Int. J. Numer. Methods Eng. 94, No. 11, 985-1014 (2013). MSC: 74P10 90C51 90C90 PDFBibTeX XMLCite \textit{J. W. Simon} et al., Int. J. Numer. Methods Eng. 94, No. 11, 985--1014 (2013; Zbl 1352.74231) Full Text: DOI
Kirches, Christian; Leyffer, Sven TACO: a toolkit for AMPL control optimization. (English) Zbl 1302.49043 Math. Program. Comput. 5, No. 3, 227-265 (2013). MSC: 49M37 68N15 90C11 93A30 65L80 PDFBibTeX XMLCite \textit{C. Kirches} and \textit{S. Leyffer}, Math. Program. Comput. 5, No. 3, 227--265 (2013; Zbl 1302.49043) Full Text: DOI
Gill, Philip E.; Robinson, Daniel P. A globally convergent stabilized SQP method. (English) Zbl 1285.49023 SIAM J. Optim. 23, No. 4, 1983-2010 (2013). MSC: 49M37 90C55 90C20 90C30 65K05 65F05 PDFBibTeX XMLCite \textit{P. E. Gill} and \textit{D. P. Robinson}, SIAM J. Optim. 23, No. 4, 1983--2010 (2013; Zbl 1285.49023) Full Text: DOI
Wang, Xiao; Yuan, Ya-Xiang A trust region method based on a new affine scaling technique for simple bounded optimization. (English) Zbl 1307.90174 Optim. Methods Softw. 28, No. 4, 871-888 (2013). MSC: 90C30 90C51 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y.-X. Yuan}, Optim. Methods Softw. 28, No. 4, 871--888 (2013; Zbl 1307.90174) Full Text: DOI
Eckstein, Jonathan; Silva, Paulo J. S. A practical relative error criterion for augmented Lagrangians. (English) Zbl 1362.90312 Math. Program. 141, No. 1-2 (A), 319-348 (2013). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{J. Eckstein} and \textit{P. J. S. Silva}, Math. Program. 141, No. 1--2 (A), 319--348 (2013; Zbl 1362.90312) Full Text: DOI
Martínez, J. M.; Sobral, F. N. C. Constrained derivative-free optimization on thin domains. (English) Zbl 1272.90091 J. Glob. Optim. 56, No. 3, 1217-1232 (2013). MSC: 90C30 90C56 PDFBibTeX XMLCite \textit{J. M. Martínez} and \textit{F. N. C. Sobral}, J. Glob. Optim. 56, No. 3, 1217--1232 (2013; Zbl 1272.90091) Full Text: DOI
Fernández, D.; Pilotta, E. A.; Torres, G. A. An inexact restoration strategy for the globalization of the sSQP method. (English) Zbl 1295.90077 Comput. Optim. Appl. 54, No. 3, 595-617 (2013). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{D. Fernández} et al., Comput. Optim. Appl. 54, No. 3, 595--617 (2013; Zbl 1295.90077) Full Text: DOI
Wang, Xiao A trust region affine scaling method for bound constrained optimization. (English) Zbl 1268.65083 Acta Math. Sin., Engl. Ser. 29, No. 1, 159-182 (2013). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{X. Wang}, Acta Math. Sin., Engl. Ser. 29, No. 1, 159--182 (2013; Zbl 1268.65083) Full Text: DOI
El-Sobky, Bothina A multiplier active-set trust-region algorithm for solving constrained optimization problem. (English) Zbl 1320.90080 Appl. Math. Comput. 219, No. 3, 928-946 (2012). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{B. El-Sobky}, Appl. Math. Comput. 219, No. 3, 928--946 (2012; Zbl 1320.90080) Full Text: DOI
Lantoine, Gregory; Russell, Ryan P. A hybrid differential dynamic programming algorithm for constrained optimal control problems. I: Theory. (English) Zbl 1260.49044 J. Optim. Theory Appl. 154, No. 2, 382-417 (2012). Reviewer: Joseph Frédéric Bonnans (Le Chesnay) MSC: 49L20 90C06 90C20 90C39 PDFBibTeX XMLCite \textit{G. Lantoine} and \textit{R. P. Russell}, J. Optim. Theory Appl. 154, No. 2, 382--417 (2012; Zbl 1260.49044) Full Text: DOI
Birgin, Ernesto G.; Gentil, Jan M. Evaluating bound-constrained minimization software. (English) Zbl 1258.90067 Comput. Optim. Appl. 53, No. 2, 347-373 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Gentil}, Comput. Optim. Appl. 53, No. 2, 347--373 (2012; Zbl 1258.90067) Full Text: DOI
Qiu, Songqiang; Chen, Zhongwen Global and local convergence of a class of penalty-free-type methods for nonlinear programming. (English) Zbl 1252.90078 Appl. Math. Modelling 36, No. 7, 3201-3216 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Qiu} and \textit{Z. Chen}, Appl. Math. Modelling 36, No. 7, 3201--3216 (2012; Zbl 1252.90078) Full Text: DOI
Fernández, D.; Solodov, M. V. Local convergence of exact and inexact augmented Lagrangian methods under the second-order sufficient optimality condition. (English) Zbl 1259.90132 SIAM J. Optim. 22, No. 2, 384-407 (2012). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 90C55 65K05 PDFBibTeX XMLCite \textit{D. Fernández} and \textit{M. V. Solodov}, SIAM J. Optim. 22, No. 2, 384--407 (2012; Zbl 1259.90132) Full Text: DOI
Gill, Philip E.; Robinson, Daniel P. A primal-dual augmented Lagrangian. (English) Zbl 1244.90219 Comput. Optim. Appl. 51, No. 1, 1-25 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{P. E. Gill} and \textit{D. P. Robinson}, Comput. Optim. Appl. 51, No. 1, 1--25 (2012; Zbl 1244.90219) Full Text: DOI
Gundersen, Geir; Steihaug, Trond On diagonally structured problems in unconstrained optimization using an inexact super Halley method. (English) Zbl 1256.65055 J. Comput. Appl. Math. 236, No. 15, 3685-3695 (2012). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K05 90C06 65H10 90C30 PDFBibTeX XMLCite \textit{G. Gundersen} and \textit{T. Steihaug}, J. Comput. Appl. Math. 236, No. 15, 3685--3695 (2012; Zbl 1256.65055) Full Text: DOI
Birgin, Ernesto G.; Martínez, J. M. Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization. (English) Zbl 1244.90216 Comput. Optim. Appl. 51, No. 3, 941-965 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 51, No. 3, 941--965 (2012; Zbl 1244.90216) Full Text: DOI
Gould, N. I. M.; Toint, Ph. L. Erratum to: “Nonlinear programming without a penalty function or a filter”. (English) Zbl 1235.90118 Math. Program. 131, No. 1-2 (A), 403-404 (2012). MSC: 90C26 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{Ph. L. Toint}, Math. Program. 131, No. 1--2 (A), 403--404 (2012; Zbl 1235.90118) Full Text: DOI
Simon, Jaan-Willem; Weichert, Dieter Numerical lower bound shakedown analysis of engineering structures. (English) Zbl 1230.74046 Comput. Methods Appl. Mech. Eng. 200, No. 41-44, 2828-2839 (2011). MSC: 74C05 74P10 PDFBibTeX XMLCite \textit{J.-W. Simon} and \textit{D. Weichert}, Comput. Methods Appl. Mech. Eng. 200, No. 41--44, 2828--2839 (2011; Zbl 1230.74046) Full Text: DOI
Jia, Chunxia; Zhu, Detong An affine scaling interior algorithm via conjugate gradient and Lanczos methods for bound-constrained nonlinear optimization. (English) Zbl 1268.90088 J. Appl. Math. Inform. 29, No. 1-2, 173-190 (2011). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{C. Jia} and \textit{D. Zhu}, J. Appl. Math. Inform. 29, No. 1--2, 173--190 (2011; Zbl 1268.90088)
Gratton, Serge; Toint, Philippe L.; Tröltzsch, Anke An active-set trust-region method for derivative-free nonlinear bound-constrained optimization. (English) Zbl 1229.90138 Optim. Methods Softw. 26, No. 4-5, 873-894 (2011). MSC: 90C26 90C56 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optim. Methods Softw. 26, No. 4--5, 873--894 (2011; Zbl 1229.90138) Full Text: DOI
Malmedy, Vincent; Toint, Philippe L. Approximating Hessians in unconstrained optimization arising from discretized problems. (English) Zbl 1228.90117 Comput. Optim. Appl. 50, No. 1, 1-22 (2011). MSC: 90C30 PDFBibTeX XMLCite \textit{V. Malmedy} and \textit{P. L. Toint}, Comput. Optim. Appl. 50, No. 1, 1--22 (2011; Zbl 1228.90117) Full Text: DOI
Liu, Xinwei; Yuan, Yaxiang A sequential quadratic programming method without a penalty function or a filter for nonlinear equality constrained optimization. (English) Zbl 1233.90257 SIAM J. Optim. 21, No. 2, 545-571 (2011). Reviewer: Oliver Stein (Karlsruhe) MSC: 90C30 90C55 65K05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Yuan}, SIAM J. Optim. 21, No. 2, 545--571 (2011; Zbl 1233.90257) Full Text: DOI
Byrd, Richard H.; Waltz, Richard A. An active-set algorithm for nonlinear programming using parametric linear programming. (English) Zbl 1226.90138 Optim. Methods Softw. 26, No. 1, 47-66 (2011). MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{R. H. Byrd} and \textit{R. A. Waltz}, Optim. Methods Softw. 26, No. 1, 47--66 (2011; Zbl 1226.90138) Full Text: DOI
Dai, Yu-Hong; Yamashita, Nobuo Convergence analysis of sparse quasi-Newton updates with positive definite matrix completion for two-dimensional functions. (English) Zbl 1219.90188 Numer. Algebra Control Optim. 1, No. 1, 61-69 (2011). MSC: 90C53 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{N. Yamashita}, Numer. Algebra Control Optim. 1, No. 1, 61--69 (2011; Zbl 1219.90188) Full Text: DOI
Gomes-Ruggiero, Márcia A.; Sachine, Mael; Santos, Sandra A. Solving the dual subproblem of the method of moving asymptotes using a trust-region scheme. (English) Zbl 1222.49047 Comput. Appl. Math. 30, No. 1, 151-170 (2011). MSC: 49M37 49M29 65K05 90C30 PDFBibTeX XMLCite \textit{M. A. Gomes-Ruggiero} et al., Comput. Appl. Math. 30, No. 1, 151--170 (2011; Zbl 1222.49047)
Zhang, Liwei; Ni, Qin A trust region algorithm of a new conic model for nonlinearly equality constrained optimization. (Chinese. English summary) Zbl 1240.90421 J. Numer. Methods Comput. Appl. 31, No. 4, 279-289 (2010). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Q. Ni}, J. Numer. Methods Comput. Appl. 31, No. 4, 279--289 (2010; Zbl 1240.90421)
Niu, Lingfeng; Yuan, Yaxiang A new trust-region algorithm for nonlinear constrained optimization. (English) Zbl 1224.90170 J. Comput. Math. 28, No. 1, 72-86 (2010). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{L. Niu} and \textit{Y. Yuan}, J. Comput. Math. 28, No. 1, 72--86 (2010; Zbl 1224.90170) Full Text: DOI
Fourer, Robert; Orban, Dominique DrAmpl: A meta solver for optimization problem analysis. (English) Zbl 1243.90005 Comput. Manag. Sci. 7, No. 4, 437-463 (2010). MSC: 90-04 90C30 90C35 68W30 PDFBibTeX XMLCite \textit{R. Fourer} and \textit{D. Orban}, Comput. Manag. Sci. 7, No. 4, 437--463 (2010; Zbl 1243.90005) Full Text: DOI
Chen, Yixin; Chen, Minmin Extended duality for nonlinear programming. (English) Zbl 1226.90100 Comput. Optim. Appl. 47, No. 1, 33-59 (2010). MSC: 90C30 90C46 90C26 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. Chen}, Comput. Optim. Appl. 47, No. 1, 33--59 (2010; Zbl 1226.90100) Full Text: DOI
Yin, Minghao; Zou, Tingting; Gu, Wenxiang Reverse bridge theorem under constraint partition. (English) Zbl 1195.90082 Math. Probl. Eng. 2010, Article ID 617398, 18 p. (2010). MSC: 90C30 PDFBibTeX XMLCite \textit{M. Yin} et al., Math. Probl. Eng. 2010, Article ID 617398, 18 p. (2010; Zbl 1195.90082) Full Text: DOI EuDML
Eckstein, Jonathan; Silva, Paulo J. S. Proximal methods for nonlinear programming: Double regularization and inexact subproblems. (English) Zbl 1220.90164 Comput. Optim. Appl. 46, No. 2, 279-304 (2010). MSC: 90C51 90C30 PDFBibTeX XMLCite \textit{J. Eckstein} and \textit{P. J. S. Silva}, Comput. Optim. Appl. 46, No. 2, 279--304 (2010; Zbl 1220.90164) Full Text: DOI
Gratton, Serge; Mouffe, Mélodie; Sartenaer, Annick; Toint, Philippe L.; Tomanos, Dimitri Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. (English) Zbl 1190.90209 Optim. Methods Softw. 25, No. 3, 359-386 (2010). MSC: 90C30 PDFBibTeX XMLCite \textit{S. Gratton} et al., Optim. Methods Softw. 25, No. 3, 359--386 (2010; Zbl 1190.90209) Full Text: DOI