Les méthodes de «descente» dans la théorie de l'optimisation

Jean Cea

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1968)

  • Volume: 2, Issue: R3, page 79-101
  • ISSN: 0764-583X

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Cea, Jean. "Les méthodes de «descente» dans la théorie de l'optimisation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 2.R3 (1968): 79-101. <http://eudml.org/doc/193113>.

@article{Cea1968,
author = {Cea, Jean},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {operations research},
language = {fre},
number = {R3},
pages = {79-101},
publisher = {Dunod},
title = {Les méthodes de «descente» dans la théorie de l'optimisation},
url = {http://eudml.org/doc/193113},
volume = {2},
year = {1968},
}

TY - JOUR
AU - Cea, Jean
TI - Les méthodes de «descente» dans la théorie de l'optimisation
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1968
PB - Dunod
VL - 2
IS - R3
SP - 79
EP - 101
LA - fre
KW - operations research
UR - http://eudml.org/doc/193113
ER -

References

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  1. [1] A. AUSLENDER et F. BRODEAU, onvergence d'un algorithme de Frank et Wolf appliqué à un problème de contrôle. Revue Française d'Informatique et de Recherche Opérationnelle - 1968, n°7-Rl. Zbl0155.43102
  2. [2] BALAKRISHNAN and HSIEN, Optimum system synthesis, Conference. Dayton, Ohio, September 1962. 
  3. [3] A. D. BOOTH, Numerical methods, London Butterworths Scientific Publication, 1957. Zbl0077.32203MR217986
  4. [4] H. BREZIS et M. SIBONY, Méthode d'approximation et d'itération pour les opérateurs monotones (à paraître). Zbl0157.22501
  5. [5] F. E. BROWDER, Existence and uniquences theorems for solutions of non linear Bounday value problems. Proceedings of Symosia in Applied Math., vol. XVII, A.M.S., 1965. Zbl0145.35302MR197933
  6. [6] J. W. DANIEL, The conjugate gradient method for linear and non linear operator equations, SIAM Num. Anal., vol. 4 n° 1, 1967. Zbl0154.40302MR217987
  7. [7] V. F. DEM' JANOV and A. M. RUBINOV, On the problem of minimization of a smoooth functional with convex constraints, Soviet Mathematics, vol. 8, n° 1, 1965. Zbl0286.49018
  8. [8] R. FLETCHER and M. J. D. POWELL, The computer journal, 1963, 6, 163-168. Zbl0132.11603MR152116
  9. [9] R. FLETCHER and C. M. REEVES, Function minimization by conjugate gradients, Computing Journal, 1964, 7. Zbl0132.11701MR187375
  10. [10] M. FRANK and P. WOLFE, On algorithm for quadratic programming, Naval Research Logistics Quaterly, 1956. MR89102
  11. [11] Y. HAUGAZEAU, Sur la minimisation des formes quadratiques avec contraintes, C. R. Acad. Sci., Paris, 2 novembre 1966. Zbl0147.12501MR210294
  12. [12] M. HESTENES and E. STIEFFEL, Method of conjugate gradients for solving linear systems, J. Res. Nat. Bur. Stand., Sect. B, 49, 1952. Zbl0048.09901
  13. [13] J. L. LIONS, Sur le contrôle optimal de systèmes décrits par des équatins aux dérivées partielles, C. R. Acad. Sc. Paris, 7, 14, 21 novembre 1966. Zbl0148.07705
  14. [14] B. T. POLJAK, Existence theorems and convergence of minimizing sequences in extremum problems with restrictions, Soviet. Math., 1966, t. 166, n° 2. Zbl0171.09501MR198307
  15. [15] J. B. ROSEN, The gradient projection method for non linear programming SIAM, vol. 8, n° 1, 1960. Zbl0099.36405MR112750
  16. [16] H. L. STEIN, Gradient methods in the solution of systems of linear equations, Nat. Bur. of Stand. NAML, Rep. 52-7, 1951. 
  17. [17] M. VALADIER, Extension d'un algorithme de Frank et Wolfe, Revue Française de recherche opérationnelle, n° 36, 1965. 

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