Méthode du GRG, méthode de Newton globale et application à la programmation mathématique
RAIRO - Operations Research - Recherche Opérationnelle (1984)
- Volume: 18, Issue: 4, page 319-351
- ISSN: 0399-0559
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topAbadie, Jean, and Guerrero, Gabriel. "Méthode du GRG, méthode de Newton globale et application à la programmation mathématique." RAIRO - Operations Research - Recherche Opérationnelle 18.4 (1984): 319-351. <http://eudml.org/doc/104860>.
@article{Abadie1984,
author = {Abadie, Jean, Guerrero, Gabriel},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {homotopy or continuation method; system of nonlinear equations; Global Newton Method; General Reduced Gradient},
language = {fre},
number = {4},
pages = {319-351},
publisher = {EDP-Sciences},
title = {Méthode du GRG, méthode de Newton globale et application à la programmation mathématique},
url = {http://eudml.org/doc/104860},
volume = {18},
year = {1984},
}
TY - JOUR
AU - Abadie, Jean
AU - Guerrero, Gabriel
TI - Méthode du GRG, méthode de Newton globale et application à la programmation mathématique
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1984
PB - EDP-Sciences
VL - 18
IS - 4
SP - 319
EP - 351
LA - fre
KW - homotopy or continuation method; system of nonlinear equations; Global Newton Method; General Reduced Gradient
UR - http://eudml.org/doc/104860
ER -
References
top- J. ABADIE, The GRG Method for Nonlinear Programming, in Design and Implementation of Optimization Software, H. J. GREENBERG, SIJTKOFF & NOORDHOFF, éd., Alphenof Optimization Software, H. J. GREENBERG, SIJTK aan den Rijn, The Netherlands, 1978, p. 335-362.
- J. ABADIE, Advances in Nonlinear Programming, Proceedings of the Eighth I.F.O.R.S. International Conference on Operational Research, K. B. HALEY, éd., North-Holland, Amsterdam, 1979, p. 900-930. Zbl0393.90019MR527921
- R. ALT, Minimizing the Error Propagation in the Integration of O.D.E., Scientific Computing, I.M.A.C.S. Transanctions, vol. 1, North Holland, Amsterdam, 1983, p. 231-235. MR751625
- A. J. COLVILLE, A Comparative Study of Nonlinear Programming Codes, I.B.M. Scientific Center Report n° 320-2949, 1968. Zbl0224.90069
- F. J. GOULD et C. P. SCHMIDT, An Existence Resuit for the Global Newton Method, in Variational Inequalities and Complementarity Problems: Theory and Applications, J. Wiley, New York, 1980, p. 187-194. Zbl0487.55001MR578748
- H. B. KELLER, Global Homotopies and Newton Methods, in Numerical Analysis, G. GOLUB, éd., Academic Press, New York, 1978, p. 73-94. Zbl0456.65026MR519057
- J. MILNOR, Topology from the Differentiable Viewpoint, Charlottesville, University Press of Virginia, 1965. Zbl0136.20402MR226651
- K. SCHITTKOWSKI, Nonlinear Programming Codes, Springer-Verlag, Berlin-Heidelberg-New York, 1980. Zbl0435.90063MR589176
- S. SMALE, A Convergent Process of Price Adjustment and Global Newton Methods, Journal of Mathematical Economics, vol. 3, 1976, p. 107-120. Zbl0354.90018MR411577
- P. TOLLA, Linear and Nonlinear Programming Software Validity, Math. and Comp. in Sim., vol. XXV, 1983, p. 39-42. Zbl0501.65028
- J. VIGNES, Algorithmes numériques, Analyse et mise en ?uvre, tome II, Équations et systèmes non linéaires, Éditions Technip, Paris, 1980. Zbl0428.65026MR589889
- J. VIGNES, Implementation des méthodes d'optimisation : test d'arrêt optimal, contrôle et précision de la solution, Première partie : Aspect méthodologique, R.A.I.R.O., Recherche Opérationnelle, vol. 18, n° 1, 1984, p. 1-18. Deuxième partie: Logiciel et exemple d'utilisation, R.A.I.R.O., Recherche opérationnelle, vol. 18, n° 2, 1984, p. 103-129. Zbl0601.65052MR761316
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