A comparative note on the relaxation algorithms for the linear semi-infinite feasibility problem
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DOI: 10.1007/s10479-016-2135-2
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- A.M. Bagirov & A.M. Rubinov, 2000. "Global Minimization of Increasing Positively Homogeneous Functions over the Unit Simplex," Annals of Operations Research, Springer, vol. 98(1), pages 171-187, December.
- E. González-Gutiérrez & L. Hernández Rebollar & Maxim Todorov, 2012. "Relaxation methods for solving linear inequality systems: converging results," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(2), pages 426-436, July.
- A. Auslender & A. Ferrer & M. Goberna & M. López, 2015. "Comparative study of RPSALG algorithm for convex semi-infinite programming," Computational Optimization and Applications, Springer, vol. 60(1), pages 59-87, January.
- Goberna, M.A. & Jeyakumar, V. & Li, G. & Vicente-Pérez, J., 2015. "Robust solutions to multi-objective linear programs with uncertain data," European Journal of Operational Research, Elsevier, vol. 242(3), pages 730-743.
- Gleb Beliakov & Albert Ferrer, 2010. "Bounded lower subdifferentiability optimization techniques: applications," Journal of Global Optimization, Springer, vol. 47(2), pages 211-231, June.
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Cited by:
- Le Thanh Tung, 2022. "Karush–Kuhn–Tucker optimality conditions and duality for multiobjective semi-infinite programming with vanishing constraints," Annals of Operations Research, Springer, vol. 311(2), pages 1307-1334, April.
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Keywords
Linear semi-infinite systems; Feasibility problem; Relaxation method; Cutting angle method;All these keywords.
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