Algorithme d'approximation interne de problèmes de point de selle avec contraintes via l'optimisation

J. Morgan-Sciarrino

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)

  • Volume: 14, Issue: 2, page 189-202
  • ISSN: 0764-583X

How to cite

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Morgan-Sciarrino, J.. "Algorithme d'approximation interne de problèmes de point de selle avec contraintes via l'optimisation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 14.2 (1980): 189-202. <http://eudml.org/doc/193357>.

@article{Morgan1980,
author = {Morgan-Sciarrino, J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {saddle-point optimization; penalty method; nonlinear constrained optimization; iterative algorithm; Hilbert spaces; error estimate},
language = {fre},
number = {2},
pages = {189-202},
publisher = {Dunod},
title = {Algorithme d'approximation interne de problèmes de point de selle avec contraintes via l'optimisation},
url = {http://eudml.org/doc/193357},
volume = {14},
year = {1980},
}

TY - JOUR
AU - Morgan-Sciarrino, J.
TI - Algorithme d'approximation interne de problèmes de point de selle avec contraintes via l'optimisation
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1980
PB - Dunod
VL - 14
IS - 2
SP - 189
EP - 202
LA - fre
KW - saddle-point optimization; penalty method; nonlinear constrained optimization; iterative algorithm; Hilbert spaces; error estimate
UR - http://eudml.org/doc/193357
ER -

References

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  1. 1 A AUSLENDER, Problèmes de minimax via l'analyse convexe et les inégalités variationnelles Théorie et algorithmes, n° 77, Lectures Notes in Economies and Mathematical Systems, Springer-Verlag, 1972 Zbl0251.90039MR461244
  2. 2 Y CHERRUAULT, Une méthode directe de minimisation et applications, R I R O , vol 10, 1968, p 31-52 Zbl0211.46601MR239735
  3. 3 A V FIACCO, Comments on the paper of C Caroll, Operations Reseach, vol 9, n° 2, mars-avril 1961, p 184-185 
  4. 4 A V FIACCO et G P MCCORMICK, The Sequential Unconstrained Minimization Technique for Non linear Programming, a Primal dual Method, Managment Science, vol 10, n° 2, 1964, p 360-366 
  5. 5 A V FIACCO et G P MCCORMICK, Non Linear Programming Sequential Unconstrained Minimization Technique, Wiley, New York, 1970 Zbl0193.18805
  6. 6 J MORGAN-SCIARRINO, Approximation interne de problèmes de point de selle avec contraintes, Boll Un Mat Ital , (5), vol 15-B, n° 1, 1978, p 147-160 Zbl0373.90058MR500409
  7. 7 J M ORTEGA et W C REINBOLDT, Iterative Solutions of Non Linear Equations in Several Variables, Academic Press, 1970 Zbl0241.65046
  8. 8 H SASAI, An Interior Penalty Method for Minimax Problems with Constraints, S I A M Control, vol 12, n° 4, 1974, p 643-649 Zbl0256.49037MR353099
  9. 9 L SCHWARTZCours d'analyse Hermann Paris 1967 
  10. 10 A C ZAANENLinear Analysis North-Holland Amsterdam 1956 Zbl0053.25601

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