Méthode du sous-gradient réduit généralisé comme extension du GRG d'Abadie au cas non différentiable
RAIRO - Operations Research - Recherche Opérationnelle (1992)
- Volume: 26, Issue: 3, page 237-267
- ISSN: 0399-0559
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topEl Ghali, A.. "Méthode du sous-gradient réduit généralisé comme extension du GRG d'Abadie au cas non différentiable." RAIRO - Operations Research - Recherche Opérationnelle 26.3 (1992): 237-267. <http://eudml.org/doc/105039>.
@article{ElGhali1992,
author = {El Ghali, A.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {generalized reduced subgradient method; nondifferentiable case; reduced gradient algorithms},
language = {fre},
number = {3},
pages = {237-267},
publisher = {EDP-Sciences},
title = {Méthode du sous-gradient réduit généralisé comme extension du GRG d'Abadie au cas non différentiable},
url = {http://eudml.org/doc/105039},
volume = {26},
year = {1992},
}
TY - JOUR
AU - El Ghali, A.
TI - Méthode du sous-gradient réduit généralisé comme extension du GRG d'Abadie au cas non différentiable
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1992
PB - EDP-Sciences
VL - 26
IS - 3
SP - 237
EP - 267
LA - fre
KW - generalized reduced subgradient method; nondifferentiable case; reduced gradient algorithms
UR - http://eudml.org/doc/105039
ER -
References
top- 1. J. ABADIE et J. CARPENTIER, Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints, In Optimization, R. FLETCHER ed., London Academic, 1969. Zbl0254.90049MR284206
- 2. A. BIHAIN, V. H. NGUYEN et J. J. STRODIOT, A Reduced Subgradient Algorithm, Math. Programming Study, 1987, 30, pp. 127-149. Zbl0624.90085MR874135
- 3. A. BIHAIN, Numerical and Algorithmic Contributions to the Constrained Optimization of Some Classes of Non-Differentiable Functions, Ph. D. Thesis, F.U.N.D.P., Namur, Belgium, 1984. Zbl0534.90069
- 4. E. K. BLUM, Numerical Analysis and Computation, Theory and Practice, Addison-Wesley, New York, 1972. Zbl0273.65001MR408185
- 5. J. A. CHATELON, D. W. HEARN et J. J. LOWE, A Subgradient Algorithm for Certain Minimax and Minisum Problems, S.I.A.M., J. Control Optim., S.I.A.M., J. Control Optim., 1982,20, pp. 455-469. Zbl0498.49020MR661026
- 6. M. GAUDIOSO et M. F. MONACO, A Bundle Type Approach to the Unconstrained Minimization of Convex Nonsmooth Functions, Math. Programming, 1982, 23, pp. 216-226. Zbl0479.90066MR657081
- 7. W. GOCHET et Y SMEERS, A Modified Reduced Gradient Method for a Class of Nondifferentiable Problems, Math. Programming, 1980, 19, pp. 137-154. Zbl0454.90058MR583275
- 8. P. HUARD, Convergence of the Reduced Gradient Method, In Nonlinear Programming, O. L. MANGASARIAN, R. R. MEYER et S. M. ROBINSON, éd., Academic Press, New York, 1975, 2, pp. 29-54. Zbl0323.90046MR421678
- 9. P. HUARD, Un algorithme général de gradient réduit, Bulletin de la Direction des Études et Recherches, E.D.F., 1980, Série C, 2, pp. 91-109. Zbl0582.65052MR700427
- 10. C. LEMARÉCHAL et R. MIFFLIN, Nonsmooth optimization, Pergamon Press, New York, 1977. Zbl0391.00019MR537890
- 11. C. LEMARÉCHAL, Extensions diverses des méthodes de gradients et applications, Thèse d'État, Paris-IX Dauphine, Paris, 1980.
- 12. C. LEMARÉCHAL, An Extension of Davidon Methods to Non-Differentiable Problems, Math. Programming Study, 1975, 3, pp. 95-109. Zbl0358.90051MR436586
- 13. C. LEMARÉCHAL, J. J. STRODIOTet A. BIHAIN, On a Bundle Algorithm for Nonsmooth Optimization, In Nonlinear Programming, O. L. MANGASARIAN, R. R.MEYER et S. M. ROBINSON éd., Academic Press, New York, 1981, 4, pp. 245-282. Zbl0533.49023MR663383
- 14. C. LEMARÉCHALA View of Line Search, In Lecture Notes in Control and Information Science A. AUSLENDER, W. OETTLLI et J. STOER, éd., Springer, Berlin, 1981. Zbl0458.65054MR618474
- 15. D. G. LUENBERGER, Introduction to Linear and Nonlinear Programming, Academic Press, New York, 1973. Zbl0297.90044
- 16. R. MIFFLINA Stable Method for Solving Certain Constrained Least Squares Problems, Math. Programming, 1979, 16, pp. 141-158. Zbl0407.90065MR527571
- 17. R. MIFFLINAn Algorithm for Constrained Optimization with Semi Smooth Functions, Math. Oper. Res., 1977, 2, pp. 191-207. Zbl0395.90069MR474815
- 18. R. MIFFLIN, Convergence of a Modification of Lemaréchal's Algorithm for non Smooth Optimization, In Progress in non differentiable Optimization, E. A.Nurminski ed., I.I.A.S.A., Laxenburg, Austria, 1982. Zbl0502.65039
- 19. H. MOKHTAR-KHARROUBI, Sur la convergence théorique de la méthode du gradient réduit généralisé, Numer. Math., 1980, 34, pp. 73-85. Zbl0414.65037MR560795
- 20. H. MOKHTAR-KHARROUBI, Sur quelques méthodes de gradient réduit sous contraintes linéaires, R.A.I.R.O., Anal. Numér., 1979, 13, n° 2, pp. 167-180. Zbl0409.90075MR533880
- 21. Y. SMEERS, Generalized Reduced Gradient Method as an Extension of Feasible Directions Methods, J. Optim. Theory Appl., 1977, 22, n° 2, pp. 209-226. Zbl0336.65035MR452705
- 22. J. J. STRODIOT, V. H. NGUYEN et N. HEUKEMES, ε-Optimal Solutions in non Differentiable Convex Programming and some Related Questions, Math. Programming, 1983, 25, pp. 307-328. Zbl0495.90067MR689660
- 23. P. WOLFE, Reduced Gradient Method, Rand Document, June 1962.
- 24. P. WOLFE, On the Convergence of Gradient Methods under Constraints, I.B.M. Journal, 1972, pp. 407-411. Zbl0265.90046MR331177
- 25. P. WOLFE, Convergence Conditions for Ascent Methods, S.I.A.M. Review, 1969,11, pp. 226-234. Zbl0177.20603MR250453
- 26. P. WOLFE, A Method for Conjugate Subgradients for Minimizing non Differentiable Functions, Math. Programming Study, 1975, 3, pp. 145-173. Zbl0369.90093MR448896
- 27. W. ZANGWILL, The Convex-Simplex Methods, Management Sci., 1967, 14, pp. 221-238. Zbl0153.49002MR269300
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