Generalized S-Lemma and strong duality in nonconvex quadratic programming
Author
Abstract
Suggested Citation
DOI: 10.1007/s10898-012-9917-0
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
- ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(4), pages 691-705, August.
- V. Jeyakumar & Guoyin Li, 2011. "Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems," Journal of Global Optimization, Springer, vol. 49(1), pages 1-14, January.
- ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(5), pages 879-883, October.
- Jos F. Sturm & Shuzhong Zhang, 2003. "On Cones of Nonnegative Quadratic Functions," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 246-267, May.
- Kojima, Masakazu & Tuncel, Levent, 2002. "On the finite convergence of successive SDP relaxation methods," European Journal of Operational Research, Elsevier, vol. 143(2), pages 325-341, December.
- B. T. Polyak, 1998. "Convexity of Quadratic Transformations and Its Use in Control and Optimization," Journal of Optimization Theory and Applications, Springer, vol. 99(3), pages 553-583, December.
- ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(6), pages 1195-1198, December.
- ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(1), pages 225-228, February.
- ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(2), pages 411-413, April.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- T. D. Chuong & V. Jeyakumar, 2018. "Generalized Lagrangian duality for nonconvex polynomial programs with polynomial multipliers," Journal of Global Optimization, Springer, vol. 72(4), pages 655-678, December.
- Huu-Quang Nguyen & Ruey-Lin Sheu, 2019. "Geometric properties for level sets of quadratic functions," Journal of Global Optimization, Springer, vol. 73(2), pages 349-369, February.
- Thai Doan Chuong, 2020. "Semidefinite Program Duals for Separable Polynomial Programs Involving Box Constraints," Journal of Optimization Theory and Applications, Springer, vol. 185(1), pages 289-299, April.
- Y. Shi & H. D. Tuan & H. Tuy & S. Su, 2017. "Global optimization for optimal power flow over transmission networks," Journal of Global Optimization, Springer, vol. 69(3), pages 745-760, November.
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.- Yakut, Oguz, 2021. "Implementation of hydraulically driven barrel shooting control by utilizing artificial neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1206-1223.
- X. Qin & G. Huang, 2009. "An Inexact Chance-constrained Quadratic Programming Model for Stream Water Quality Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(4), pages 661-695, March.
- Md. Yousuf Gazi & Khandakar Tahmida Tafhim, 2019. "Investigation of Heavy-mineral Deposits Using Multispectral Satellite Imagery in the Eastern Coastal Margin of Bangladesh," Earth Sciences Malaysia (ESMY), Zibeline International Publishing, vol. 3(2), pages 16-22, October.
- Minghe Sun, 2005. "Warm-Start Routines for Solving Augmented Weighted Tchebycheff Network Programs in Multiple-Objective Network Programming," INFORMS Journal on Computing, INFORMS, vol. 17(4), pages 422-437, November.
- François Clautiaux & Cláudio Alves & José Valério de Carvalho & Jürgen Rietz, 2011. "New Stabilization Procedures for the Cutting Stock Problem," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 530-545, November.
- Tansel, Aysit & Karao?lan, Deniz, 2016.
"The Causal Effect of Education on Health Behaviors: Evidence from Turkey,"
IZA Discussion Papers
10020, Institute of Labor Economics (IZA).
- Aysıt Tansel & Deniz Karaoğlan, 2016. "The Causal Effects of Education on Health Behaviors: Evidence from Turkey," ERC Working Papers 1606, ERC - Economic Research Center, Middle East Technical University, revised Jun 2016.
- Aysit Tansel & Deniz Karaoglan, 2016. "The Causal Effect of Education on Health Behaviors: Evidence From Turkey," Working Papers 1030, Economic Research Forum, revised Jul 2016.
- Aysit Tansel & Deniz Karaoglan, 2016. "The Causal Effect of Education on Health Behaviors: Evidence from Turkey," Koç University-TUSIAD Economic Research Forum Working Papers 1606, Koc University-TUSIAD Economic Research Forum.
- Tansel, Aysit & Karaoglan, Deniz, 2016. "The Causal Effect of Education on Health Behaviors: Evidence From Turkey," MPRA Paper 72146, University Library of Munich, Germany.
- Timothy K.M. Beatty & Erling Røed Larsen & Dag Einar Sommervoll, 2005. "Measuring the Price of Housing Consumption for Owners in the CPI," Discussion Papers 427, Statistics Norway, Research Department.
- Melega, Gislaine Mara & de Araujo, Silvio Alexandre & Jans, Raf, 2018. "Classification and literature review of integrated lot-sizing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 271(1), pages 1-19.
- Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005.
"Pairwise kidney exchange,"
Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
- Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2004. "Pairwise Kidney Exchange," NBER Working Papers 10698, National Bureau of Economic Research, Inc.
- Sönmez, Tayfun & Utku Ünver, M. & Roth, Alvin E., 2005. "Pairwise kidney exchange," Scholarly Articles 32072400, Harvard University Department of Economics.
- Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2004. "Pairwise Kidney Exchange," Levine's Bibliography 122247000000000350, UCLA Department of Economics.
- Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Pairwise Kidney Exchange," Game Theory and Information 0408001, University Library of Munich, Germany, revised 16 Feb 2005.
- Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Pairwise Kidney Exchange," Boston College Working Papers in Economics 620, Boston College Department of Economics.
- repec:dau:papers:123456789/5389 is not listed on IDEAS
- Wong, Patricia J.Y., 2015. "Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 908-930.
- A. Bensoussan & K. Sung & S. Yam, 2013. "Linear–Quadratic Time-Inconsistent Mean Field Games," Dynamic Games and Applications, Springer, vol. 3(4), pages 537-552, December.
- Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
- Chein-Shan Liu & Zhuojia Fu & Chung-Lun Kuo, 2017. "Directional Method of Fundamental Solutions for Three-dimensional Laplace Equation," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(6), pages 112-123, December.
- Alberto Cabada & Om Kalthoum Wanassi, 2020. "Existence Results for Nonlinear Fractional Problems with Non-Homogeneous Integral Boundary Conditions," Mathematics, MDPI, vol. 8(2), pages 1-13, February.
- Odysseas Kosmas & Pieter Boom & Andrey P. Jivkov, 2021. "On the Geometric Description of Nonlinear Elasticity via an Energy Approach Using Barycentric Coordinates," Mathematics, MDPI, vol. 9(14), pages 1-16, July.
- Hossein Karshenas & Concha Bielza & Pedro Larrañaga, 2015. "Interval-based ranking in noisy evolutionary multi-objective optimization," Computational Optimization and Applications, Springer, vol. 61(2), pages 517-555, June.
- B. S. C. Campello & C. T. L. S. Ghidini & A. O. C. Ayres & W. A. Oliveira, 2022. "A residual recombination heuristic for one-dimensional cutting stock problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 194-220, April.
- Beddoe, Gareth R. & Petrovic, Sanja, 2006. "Selecting and weighting features using a genetic algorithm in a case-based reasoning approach to personnel rostering," European Journal of Operational Research, Elsevier, vol. 175(2), pages 649-671, December.
- Hans Wiklund, 2011. "Why High Participatory Ideals Fail In Practice: A Bottom-Up Approach To Public Nonparticipation In Eia," Journal of Environmental Assessment Policy and Management (JEAPM), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 159-178.
- Vítor João Pereira Domingues Martinho, 2020. "Exploring the Topics of Soil Pollution and Agricultural Economics: Highlighting Good Practices," Agriculture, MDPI, vol. 10(1), pages 1-19, January.
More about this item
Keywords
Topological minimax theorem; Nonconvex quadratic optimization; Generalized S-Lemma; Strong duality; Global optimization; 90C10; 90C20; 90C22;All these keywords.
JEL classification:
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:jglopt:v:56:y:2013:i:3:p:1045-1072. 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.