Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points
Author
Abstract
Suggested Citation
DOI: 10.1007/s10589-017-9937-2
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Ernesto G. Birgin & Emerson V. Castelani & André L. M. Martinez & J. M. Martínez, 2011. "Outer Trust-Region Method for Constrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 142-155, July.
- Francisco Facchinei & Stefano Lucidi, 1998. "Convergence to Second Order Stationary Points in Inequality Constrained Optimization," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 746-766, August.
- Birgin, E. G. & Martinez, J. M. & Ronconi, D. P., 2005. "Optimizing the packing of cylinders into a rectangular container: A nonlinear approach," European Journal of Operational Research, Elsevier, vol. 160(1), pages 19-33, January.
- E. Birgin & J. Martínez & L. Prudente, 2015. "Optimality properties of an Augmented Lagrangian method on infeasible problems," Computational Optimization and Applications, Springer, vol. 60(3), pages 609-631, April.
- Emerson Castelani & André Martinez & J. Martínez & B. Svaiter, 2010. "Addressing the greediness phenomenon in Nonlinear Programming by means of Proximal Augmented Lagrangians," Computational Optimization and Applications, Springer, vol. 46(2), pages 229-245, June.
- E. G. Birgin & L. F. Bueno & J. M. Martínez, 2016. "Sequential equality-constrained optimization for nonlinear programming," Computational Optimization and Applications, Springer, vol. 65(3), pages 699-721, December.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Nguyen T. V. Hang & Boris S. Mordukhovich & M. Ebrahim Sarabi, 2022. "Augmented Lagrangian method for second-order cone programs under second-order sufficiency," Journal of Global Optimization, Springer, vol. 82(1), pages 51-81, January.
- Roberto Andreani & Ellen H. Fukuda & Gabriel Haeser & Daiana O. Santos & Leonardo D. Secchin, 2024. "Optimality Conditions for Nonlinear Second-Order Cone Programming and Symmetric Cone Programming," Journal of Optimization Theory and Applications, Springer, vol. 200(1), pages 1-33, January.
- Luís Felipe Bueno & Gabriel Haeser & Luiz-Rafael Santos, 2020. "Towards an efficient augmented Lagrangian method for convex quadratic programming," Computational Optimization and Applications, Springer, vol. 76(3), pages 767-800, July.
- Gabriel Haeser, 2018. "A second-order optimality condition with first- and second-order complementarity associated with global convergence of algorithms," Computational Optimization and Applications, Springer, vol. 70(2), pages 615-639, June.
- Qihang Lin & Runchao Ma & Yangyang Xu, 2022. "Complexity of an inexact proximal-point penalty method for constrained smooth non-convex optimization," Computational Optimization and Applications, Springer, vol. 82(1), pages 175-224, May.
- Didier Aussel & Anton Svensson, 2019. "Towards Tractable Constraint Qualifications for Parametric Optimisation Problems and Applications to Generalised Nash Games," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 404-416, July.
- Muhammad Omair & Mohammed Alkahtani & Kashif Ayaz & Ghulam Hussain & Johannes Buhl, 2022. "Supply Chain Modelling of the Automobile Multi-Stage Production Considering Circular Economy by Waste Management Using Recycling and Reworking Operations," Sustainability, MDPI, vol. 14(22), pages 1-26, November.
- Muhammad Omair & Misbah Ullah & Baishakhi Ganguly & Sahar Noor & Shahid Maqsood & Biswajit Sarkar, 2019. "The Quantitative Analysis of Workers’ Stress Due to Working Environment in the Production System of the Automobile Part Manufacturing Industry," Mathematics, MDPI, vol. 7(7), pages 1-18, July.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- E. G. Birgin & L. F. Bueno & J. M. Martínez, 2016. "Sequential equality-constrained optimization for nonlinear programming," Computational Optimization and Applications, Springer, vol. 65(3), pages 699-721, December.
- E. Birgin & J. Martínez & L. Prudente, 2014. "Augmented Lagrangians with possible infeasibility and finite termination for global nonlinear programming," Journal of Global Optimization, Springer, vol. 58(2), pages 207-242, February.
- Shun Arahata & Takayuki Okuno & Akiko Takeda, 2023. "Complexity analysis of interior-point methods for second-order stationary points of nonlinear semidefinite optimization problems," Computational Optimization and Applications, Springer, vol. 86(2), pages 555-598, November.
- Paul Armand & Ngoc Nguyen Tran, 2019. "An Augmented Lagrangian Method for Equality Constrained Optimization with Rapid Infeasibility Detection Capabilities," Journal of Optimization Theory and Applications, Springer, vol. 181(1), pages 197-215, April.
- Ernesto G. Birgin & Emerson V. Castelani & André L. M. Martinez & J. M. Martínez, 2011. "Outer Trust-Region Method for Constrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 142-155, July.
- Andretta, M. & Birgin, E.G., 2013. "Deterministic and stochastic global optimization techniques for planar covering with ellipses problems," European Journal of Operational Research, Elsevier, vol. 224(1), pages 23-40.
- Galiev, Shamil I. & Lisafina, Maria S., 2013. "Linear models for the approximate solution of the problem of packing equal circles into a given domain," European Journal of Operational Research, Elsevier, vol. 230(3), pages 505-514.
- Zeng, Zhizhong & Yu, Xinguo & He, Kun & Huang, Wenqi & Fu, Zhanghua, 2016. "Iterated Tabu Search and Variable Neighborhood Descent for packing unequal circles into a circular container," European Journal of Operational Research, Elsevier, vol. 250(2), pages 615-627.
- T N Wong & P S Chow & D Sculli, 2006. "A heuristic for sea-freight container selection, cargo allocation and cargo orientation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(12), pages 1452-1463, December.
- Huang, Wenqi & Ye, Tao, 2011. "Global optimization method for finding dense packings of equal circles in a circle," European Journal of Operational Research, Elsevier, vol. 210(3), pages 474-481, May.
- Gabriel Haeser, 2018. "A second-order optimality condition with first- and second-order complementarity associated with global convergence of algorithms," Computational Optimization and Applications, Springer, vol. 70(2), pages 615-639, June.
- Carlos A. Vega-Mejía & Jairo R. Montoya-Torres & Sardar M. N. Islam, 2019. "Consideration of triple bottom line objectives for sustainability in the optimization of vehicle routing and loading operations: a systematic literature review," Annals of Operations Research, Springer, vol. 273(1), pages 311-375, February.
- Castillo, Ignacio & Kampas, Frank J. & Pintér, János D., 2008. "Solving circle packing problems by global optimization: Numerical results and industrial applications," European Journal of Operational Research, Elsevier, vol. 191(3), pages 786-802, December.
- Luís Felipe Bueno & Gabriel Haeser & Luiz-Rafael Santos, 2020. "Towards an efficient augmented Lagrangian method for convex quadratic programming," Computational Optimization and Applications, Springer, vol. 76(3), pages 767-800, July.
- Nadav Hallak & Marc Teboulle, 2020. "Finding Second-Order Stationary Points in Constrained Minimization: A Feasible Direction Approach," Journal of Optimization Theory and Applications, Springer, vol. 186(2), pages 480-503, August.
- Hakim Akeb & Mhand Hifi, 2010. "A hybrid beam search looking-ahead algorithm for the circular packing problem," Journal of Combinatorial Optimization, Springer, vol. 20(2), pages 101-130, August.
- C. P. Brás & J. M. Martínez & M. Raydan, 2020. "Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization," Computational Optimization and Applications, Springer, vol. 75(1), pages 169-205, January.
- Fu, Zhanghua & Huang, Wenqi & Lü, Zhipeng, 2013. "Iterated tabu search for the circular open dimension problem," European Journal of Operational Research, Elsevier, vol. 225(2), pages 236-243.
- Niblett, Matthew R. & Church, Richard L., 2015. "The disruptive anti-covering location problem," European Journal of Operational Research, Elsevier, vol. 247(3), pages 764-773.
- E. G. Birgin & R. D. Lobato & J. M. Martínez, 2017. "A nonlinear programming model with implicit variables for packing ellipsoids," Journal of Global Optimization, Springer, vol. 68(3), pages 467-499, July.
More about this item
Keywords
Augmented Lagrangian methods; Nonlinear programming; Second-order stationary points; Algorithms;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:coopap:v:69:y:2018:i:1:d:10.1007_s10589-017-9937-2. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.