Une modification de la méthode GRG

J. Abadie

RAIRO - Operations Research - Recherche Opérationnelle (1979)

  • Volume: 13, Issue: 3, page 323-326
  • ISSN: 0399-0559

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Abadie, J.. "Une modification de la méthode GRG." RAIRO - Operations Research - Recherche Opérationnelle 13.3 (1979): 323-326. <http://eudml.org/doc/104736>.

@article{Abadie1979,
author = {Abadie, J.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {numerical analysis; algorithmic performance; nonlinear programming; generalized reduced gradient method; nonlinear constraints},
language = {fre},
number = {3},
pages = {323-326},
publisher = {EDP-Sciences},
title = {Une modification de la méthode GRG},
url = {http://eudml.org/doc/104736},
volume = {13},
year = {1979},
}

TY - JOUR
AU - Abadie, J.
TI - Une modification de la méthode GRG
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1979
PB - EDP-Sciences
VL - 13
IS - 3
SP - 323
EP - 326
LA - fre
KW - numerical analysis; algorithmic performance; nonlinear programming; generalized reduced gradient method; nonlinear constraints
UR - http://eudml.org/doc/104736
ER -

References

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  1. J. ABADIE, Optimization Problems with Coupled Blocks, Economic Computation and Economic Cybernetics Studies and Research, Bucharest, 1970, n° 4, p. 5-26. Zbl0249.90068MR300646
  2. J. ABADIE, Application of the GRG Algorithm to Optimal Control Problems, chap. 8, in Integer and Nonlinear Programming, J. ABADIE, éd., North-Holland Publishing Company, Amsterdam, 1970. Zbl0332.90040MR437059
  3. J. ABADIE, The GRG Method for Nonlinear Programming, p. 335-362, in H. J. GREENBERG, éd., référence citée ci-dessous, 1978. 
  4. J. ABADIE et M. BICHARA, Résolution de certains problèmes de commande optimale,R.A.I.R.O., série verte, vol. 2, mai 1973, p. 77-105. Zbl0276.49021
  5. J. ABADIE et J. CARPENTIER, Généralisation de la méthode du gradient réduit de Wolfe au cas de contraintes non linéaires, Note HR 6678, Électricité de France, Paris, octobre 1965. Zbl0193.19101
  6. J. ABADIE et J. CARPENTIER, Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints, in Optimization, R. FLETCHER, éd., Academic Press, London and New York, 1969, p. 37-47. Zbl0254.90049MR284206
  7. J. ABADIE et A. HAGGAG, Performances du gradient reduit généralisé avec une méthode quasi newtonienne pour la programmation non linéaire, R.A.I.R.O., série verte, vol. 13, mai 1979, p. 209-216. Zbl0398.90082MR535209
  8. A. DRUD, Methods for Control of Complex Dynamic Systems, I.M.S.O.R. Publication, No. 27, The Institute of Mathematical Statistics and Operations Research, The Technical University of Denmark, Lyngby, Denmark, 1976. 
  9. D. GABAY et D. LUENBERGER, Efficiently Converging Minimization Methods Based on the Reduced Gradient, S.I.A.M. Journal on Control and Optimization, vol. 14, 1976, p. 42-61. Zbl0342.90043MR400706
  10. G. A. GABRIELLE et K. M. RAGSDELL, The Generalized Reduced Gradient Method : A reliable Tool for Optimal Design, A.S.M.A. Publication 75-DET-103, juin 1965. 
  11. H. J. GREENBERG, éd., Design and Implementation of optimization software, Sijthoff and Noordhoff, Alphen aan den Rijn, Holland, 1978. 
  12. D. R. HELTNE, Technical Appendices to GRG 73, The University of Iowa, Iowa City, septembre 1973. 
  13. A. JAIN, The Solution of Nonlinear Programs using the Generalized Reduced Gradient Method, Technical Report SOL 76-6, Systems Optimization Laboratory, Department of Operations Research, Stanford University, mars 1976. 
  14. L. S. LASDON et A. D. WAREN, Generalized Reduced Gradient Software for Linearly and Nonlinearly Constrained Problems, p. 363-396, in H. J. GRENBERG, éd., référence citée ci-dessus, 1978. 
  15. Y. SMEERS, The Generalized Reduced Gradient as an Extension of Feasible Direction Methods, J. Optimization Theory and Applic, 22, 1977, p. 209-226. Zbl0336.65035MR452705

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