Abstract
The aim of this paper is to propose a global algorithm model for continuous constrained nonlinear programming based on a new simple and exact penalty function. Under weak assumptions, we show that the optimizer obtained by the algorithm is converged to the global minimizer of the original problem.
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References
Ge, R.P.: The theory of filled function method for finding global minimizers of nonlinearly constrained minimization problems. J. Comput. Math. 5, 1–9 (1987)
Birgin, E.G., Floudas, C.A., MartÃnez, J.M.: Global minimization using an Augmented Lagrangian method with variable lower-level constraints. Math. Program. Ser. A 125, 139–162 (2010)
Di Pillo, G., Lucidi, S., Rinaldi, F.: An approach to constrained global optimization based on exact penalty functions. J. Glob. Optim. 54(2), 251–260 (2012)
Huyer, W., Neumaier, A.: A new exact penalty function. SIAM J. Optim. 3(4), 1141–1158 (2003)
Zheng, F.Y., Zhang, L.S.: New simple exact penalty function for constrained minimization. Appl. Math. Mech. 33(7), 951–962 (2012)
Acknowledgements
This research was partially supported by the National Natural Science Foundation of China (10571116 and 51075421), and supported by Science Foundation of Zhejiang Sci-Tech University (ZSTU) under Grant No. 1206830-Y.
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Zheng, F., Zhang, L. (2015). Constrained Global Optimization Using a New Exact Penalty Function. In: Gao, D., Ruan, N., Xing, W. (eds) Advances in Global Optimization. Springer Proceedings in Mathematics & Statistics, vol 95. Springer, Cham. https://doi.org/10.1007/978-3-319-08377-3_8
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DOI: https://doi.org/10.1007/978-3-319-08377-3_8
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