A convergence proof of a special version of the generalized reduced gradient method (GRGS)

Yves Smeers

RAIRO - Operations Research - Recherche Opérationnelle (1974)

  • Volume: 8, Issue: V3, page 105-114
  • ISSN: 0399-0559

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Smeers, Yves. "A convergence proof of a special version of the generalized reduced gradient method (GRGS)." RAIRO - Operations Research - Recherche Opérationnelle 8.V3 (1974): 105-114. <http://eudml.org/doc/104599>.

@article{Smeers1974,
author = {Smeers, Yves},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {eng},
number = {V3},
pages = {105-114},
publisher = {EDP-Sciences},
title = {A convergence proof of a special version of the generalized reduced gradient method (GRGS)},
url = {http://eudml.org/doc/104599},
volume = {8},
year = {1974},
}

TY - JOUR
AU - Smeers, Yves
TI - A convergence proof of a special version of the generalized reduced gradient method (GRGS)
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1974
PB - EDP-Sciences
VL - 8
IS - V3
SP - 105
EP - 114
LA - eng
UR - http://eudml.org/doc/104599
ER -

References

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  1. [1] ABADIE J. and CARPENTIER J., « Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints » in Optimization, Academie PressInc., London, 1969. Zbl0254.90049
  2. [2] ABADIE J. and GUIGOU J., « Numerical Experiments with the GRG Method » in Integer and Nonlinear Programming North-Holland Publishing Companyand American Elsevier Publishing Company, 1970. Zbl0331.65041MR437059
  3. [3] ABADIE J., Private Communication, June 1973. 
  4. [4] BERGE C., Espaces Topologiques et Fonctions Multivoques&gt;, Dunod, Paris, 1959. Zbl0164.52902MR105663
  5. [5] COLVILLE A. R., A Comparative Study on Nonlinear Programming Code, IBM - New York Scientific Center, Report No. 320.2949, June 1968. Zbl0224.90069
  6. [6] GOCHET W., LOUTE E. and SOLOW D., Comparative Computer Results of ThreeAlgorithms for Solving Prototype Geometric Programming Problems, (to bepublished in CERO). Zbl0294.90082
  7. [7] SHAFTEL T. L., SMEERS Y. M. and THOMPSON G. L., A Simplex-Like Approach for Nonlinear Programs with Nonlinear Constraints,MSR Report No. 285.Carnegie Mellon University, Pittsburgh, July 1972. 
  8. [8] SMEERS Y. M., A Convergence Proof for Shaftel and Thompson's Modular Design Algorithm, C.O.R.E. Discussion Paper No. 7332, Université Catholique-de Louvain, August 1973. 
  9. [9] ZANGWILL W., The Convex-Simplex Method, Management Science, Vol. 14,pp. 221-238, 1, 1967. Zbl0153.49002MR269300
  10. [10] ZANGWILL W., Nonlinear Programming : A Unified Approach, Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1969. Zbl0195.20804MR359816

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