@article{RO_1979__13_2_209_0,
author = {Abadie, J. and Haggag, A.},
title = {Br\`eve communication. {Performance} du gradient r\'eduit g\'en\'eralis\'e avec une m\'ethode quasi newtonienne pour la programmation non lin\'eaire},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {209--216},
year = {1979},
publisher = {EDP Sciences},
volume = {13},
number = {2},
mrnumber = {535209},
zbl = {0398.90082},
language = {fr},
url = {https://www.numdam.org/item/RO_1979__13_2_209_0/}
}
TY - JOUR AU - Abadie, J. AU - Haggag, A. TI - Brève communication. Performance du gradient réduit généralisé avec une méthode quasi newtonienne pour la programmation non linéaire JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 1979 SP - 209 EP - 216 VL - 13 IS - 2 PB - EDP Sciences UR - https://www.numdam.org/item/RO_1979__13_2_209_0/ LA - fr ID - RO_1979__13_2_209_0 ER -
%0 Journal Article %A Abadie, J. %A Haggag, A. %T Brève communication. Performance du gradient réduit généralisé avec une méthode quasi newtonienne pour la programmation non linéaire %J RAIRO - Operations Research - Recherche Opérationnelle %D 1979 %P 209-216 %V 13 %N 2 %I EDP Sciences %U https://www.numdam.org/item/RO_1979__13_2_209_0/ %G fr %F RO_1979__13_2_209_0
Abadie, J.; Haggag, A. Brève communication. Performance du gradient réduit généralisé avec une méthode quasi newtonienne pour la programmation non linéaire. RAIRO - Operations Research - Recherche Opérationnelle, Tome 13 (1979) no. 2, pp. 209-216. https://www.numdam.org/item/RO_1979__13_2_209_0/
1. , Application of the GRG Algorithm to Optimal Control Problems, in J. ABADIE, ed., Integer and Nonlinear Programming, North-Holland, Amsterdam, 1970, p. 191-211. | Zbl | MR
2. , Méthode du Gradient Réduit Généralisé : le code GRGA, Note HI 1756/00, Électricité de France, Paris, février 1975.
3. , The GRG Method for Non-linear Programming, p. 335-362, in H. J. GREENBERG, ed., Design and Implementation of Optimization Software, Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands, 1978.
4. , Advances in Non-linear Programming, in K. B. HALEY, ed., Operational Research 78, North-Holland, Amsterdam, 1978, p. 900-930. | MR
5. et , Généralisation de la méthode du gradient réduit de Wolfe au cas de contraintes non linéaire, Note HR 6678, Électricité de France Paris, (octobre 1965).
6. , Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints, in R. FLETCHER, ed., Optimization, Academic Press, London, 1969, p. 37-47. | Zbl | MR
7. et , Gradient Réduit Généralisé, Note HI 069/02, Électricité de France, Paris, avril 1969.
8. et , Numerical Experiments with the GRG Method, in J. ABADIE, ed., Integer and Non-linear Programming, North-Holland, Amsterdam, 1970. | Zbl | MR
9. et , Méthode quasi-newtonienne dans une variante du Gradient Réduit Généralisé (GRGAH), Note HI 2458/00, Électricité de France, Paris, août 1977.
10. , Nonlinear Programming, Prentice-Hall, Englewood Cliffs, New Jersey, 1976. | Zbl | MR
11. , A new Double-Rank Minimization Algorithm, Notices Amer. Math. Soc, vol. 16, 1969, p. 670.
12. , A Comparative Study on Non-Linear Programming Codes, Rep. 320-2949, N. Y. Scientific Center, IBM Corp, Yorktown Heights, New York, 1968.
13. , Non-Linear Programming Study Results as of June 1970 (private circulation).
14. , A Comparative Study on Nonlinear Programming codes, in H. W. KUHN, ed., Proceedings of the Princeton Symposium on Mathematical Programming, Princeton University Press, Princeton, New Jersey, 1970. | Zbl | MR
15. , Variable Metric Method for Minimization, Rep. ANL-5990, Rev. Argonne National Laboratoires, Argonne, 111., 1959.
16. et , Quasi Newton Methods, Motivation and Theory, S.I.A.M. Review, vol. 19, (1), 1977, p. 46-89. | Zbl | MR
17. , The Choice of Step Length, a Crucial Factor in the Performance of Variable Metric Algorithms, in F. LOOTSMA, ed., Numerical Methods for Non-Linear Optimization, Academic Press, London, 1972, p. 149-170. | Zbl | MR
18. , A New Approach to Variable Metric Algorithms, Computer J., vol., 13, 1970, p. 317-322. | Zbl
19. et , A Rapidly Convergent Descent Method for Minimization, Computer J., vol. 6, 1963, p. 163-168. | Zbl | MR
20. et , Function Minimization by Conjugale Gradients, Computer J., vol. 7, 1964, p. 149-154. | Zbl | MR
21. , A Family of Variable Metric Methods Derived by Variational Means, Math. Comp. vol. 24, 1970, p. 23-26. | Zbl | MR
22. , Études d'algorithmes d'optimisation non linéaires : une variante de GRGA, These, C.N.R.S. n° TD493, 6-12-76, Université Pierre-et-Marie-Curie, Paris, 1976.
23. , A Uniform Evaluation of Unconstrained Optimization Techniques, in F. A. LOOTSMA, ed., Numerical Methods for Nonlinear Optimization, Academic Press, London, 1972, p. 69-97. | Zbl | MR
24. , Applied Nonlinear Programming, McGraw-Hill, New York, 1972. | Zbl
25. , Performance Evaluation of Non-Linear Program Codes from the Viewpoint of a Decision Maker, Paper presented at the IFIP WG 2.5 Working Conference on Performance Evaluation on Numerical Software, Baden (Austria),11-15 December 1978, and at the 5th Conference on Mathematical Programming, Matrafüred (Hungary), 22-26 January 1979.
26. , The Utility of Nonlinear Programming Algorithms, Ph. D. Thesis, Purdue University, December 1977.
27. , Conditioning of Quasi-Newton Methods for Function Minimization, Mathematics of Computation, vol. 24, 1970, p. 617-656. | Zbl | MR
28. , Constrained Optimization via Moving Exterior Truncations, Ph. D. Thesis, The University of Texas at Austin, May 1973. | MR
29. , A Numerical Comparison of 13 Nonlinear Programming Codes with Randomly Generated Test Problems, to appear in : L. C. W. DIXON and G. P. SZEGO, eds, Numerical Optimisation of Dynamical Systems, North-Holland Publishing Company, Amsterdam, 1979. | Zbl | MR
