Conditions de régularité géométrique pour les inéquations variationnelles

Jean-Pierre Dussault; Patrice Marcotte

RAIRO - Operations Research - Recherche Opérationnelle (1989)

  • Volume: 23, Issue: 1, page 1-16
  • ISSN: 0399-0559

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Dussault, Jean-Pierre, and Marcotte, Patrice. "Conditions de régularité géométrique pour les inéquations variationnelles." RAIRO - Operations Research - Recherche Opérationnelle 23.1 (1989): 1-16. <http://eudml.org/doc/104936>.

@article{Dussault1989,
author = {Dussault, Jean-Pierre, Marcotte, Patrice},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {geometric regularity; line arised Jacobi method; Gauss-Seidel method; variational inequalities; local convergence; iterative schemes; projection methods},
language = {fre},
number = {1},
pages = {1-16},
publisher = {EDP-Sciences},
title = {Conditions de régularité géométrique pour les inéquations variationnelles},
url = {http://eudml.org/doc/104936},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Dussault, Jean-Pierre
AU - Marcotte, Patrice
TI - Conditions de régularité géométrique pour les inéquations variationnelles
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1989
PB - EDP-Sciences
VL - 23
IS - 1
SP - 1
EP - 16
LA - fre
KW - geometric regularity; line arised Jacobi method; Gauss-Seidel method; variational inequalities; local convergence; iterative schemes; projection methods
UR - http://eudml.org/doc/104936
ER -

References

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  2. 2. D. P. BERTSEKAS, On the Goldstein-Levitin-Polyak Gradient Projection Method, I.E.E.E. Trans. on Automatic Control, vol. 21, n° 2, 1976. Zbl0326.49025MR416017
  3. 3. V. CHVÁTAL, Linear Programming, Freeman, 1980. Zbl0537.90067MR717219
  4. 4. S. DAFERMOS, An Iterative Scheme for Variational Inequalities, Math. Prog., 26, 1983, p. 40-47. Zbl0506.65026MR696725
  5. 5. J.-P. DUSSAULT et P. MARCOTTE, A Modified Newton Method For Solving Variational Inequalities, Proceedings of the 24th I.E.E.E. Conference on Decision and Control, Fort Lauderdale, December 85, p. 1443-1446. 
  6. 6. A. V. FIACCO et G. P. McCORMICK, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, New York, 1968. Zbl0563.90068MR243831
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  9. 9. N. H. JOSEPHY, Newton's Method For Generalized Equations, MRC Technical Report # 1965, U. of Wisconsin-Madison, 1979. 
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  11. 11. S. KAKUTANI, A Generalization of Brouwer's Fixed Point Theorem, Duke Math. Journal, Vol. 8, 1941, p. 457-459. Zbl67.0742.03MR4776JFM67.0742.03
  12. 12. D. KINDERLEHRER et G. STAMPACCHIA, An Introduction to Variational Inequalities and Applications, Academic Press, New York, 1980. Zbl0457.35001MR567696
  13. 13. J. KYPARISIS, Sensitivity Analysis Framework for Variational Inequalities, Math. Prog., Vol 38, 1987, p. 203-214. MR904587
  14. 14. P. MARCOTTE, A New algorithm for Solving Variational Inequalities with Application to the Traffic Assignment Problem, Math. Prog., 33, 1984, p. 339-351. MR816109
  15. 15. P. MARCOTTE et J.-P. DUSSAULT, A Note on a Globally Convergent Newton Method for Solving Monotone Variational Inequalities, O. R. Letters, Vol. 6, 1987, p.35-42. Zbl0623.65073MR891605
  16. 16. J. S. PANG et D. CHAN, Iterative Methods for Variational and Complementarity Problem, Math. Prog., Vol. 24, 1984, p. 284-313. Zbl0499.90074MR676947
  17. 17. S. M. ROBINSON, Generalized equations in Mathematical Programming: the Sate of the Art, Bachem, Grötschel, Korte ed., Springer-Verlag, 1982, p. 346-367. Zbl0554.34007MR717407
  18. 18. R. T. ROCKAFELLAR, Convex Analysis, Princeton Univ. Press, 1970. Zbl0932.90001MR274683
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