A self-adaptive penalty approach for nonlinear programming

Applied Mathematics Research eXpress

Volumn 2005, Issue , 2005, Pages 1-10

  Nie, Pu Yan ^a  

^a JINAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846889842     PISSN: 16871200     EISSN: 16871197     Source Type: Journal    
DOI: 10.1155/amrx.2005.1     Document Type: Article

References (8)

1. D. P. Bertsekas, Constrained Optimization and Lagrange Multiplier Methods, Computer Science and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich Publishers], New York, 1982.
2. J.-P. Dussault, Augmented penalty algorithms, IMA J. Numer. Anal. 18 (1998), no. 3, 355-372.
3. C. C. Gonzaga and R. A. Castillo, A nonlinear programming algorithm based on non-coercive penalty functions, Math. Program. 96 (2003), no. 1, 87-101.
4. X. X. Huang and X. Q. Yang, Nonlinear Lagrangian for multiobjective optimization and applications to duality and exact penalization, SIAM J. Optim. 13 (2002), no. 3, 675-692.
5. W. Huyer and A. Neumaier, Anew exact penalty function, SIAM J. Optim. 13 (2003),no.4, 1141-1158.
6. Z.-Q. Luo, J.-S. Pang, and D. Ralph, Mathematical Programs with Equilibrium Constraints, Cambridge University Press, Cambridge, 1996.
7. J. O. Royset, E. Polak, and A. D. Kiureghian, Adaptive approximations and exact penalization for the solution of generalized semi-infinite min-max problems, SIAM J. Optim. 14 (2003), no. 1, 1-33.
8. J. J. Ye, D. L. Zhu, and Q. J. Zhu, Exact penalization and necessary optimality conditions for generalized bilevelprogramming problems, SIAM J. Optim. 7 (1997), no. 2, 481-507.