A convergence proof of a special version of the generalized reduced gradient method (GRGS)
RAIRO - Operations Research - Recherche Opérationnelle, Volume 8 (1974) no. V3, p. 105-114
@article{RO_1974__8_3_105_0,
author = {Smeers, Yves},
title = {A convergence proof of a special version of the generalized reduced gradient method (GRGS)},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
publisher = {EDP-Sciences},
volume = {8},
number = {V3},
year = {1974},
pages = {105-114},
zbl = {0322.90059},
mrnumber = {451727},
language = {en},
url = {http://www.numdam.org/item/RO_1974__8_3_105_0}
}

Smeers, Yves. A convergence proof of a special version of the generalized reduced gradient method (GRGS). RAIRO - Operations Research - Recherche Opérationnelle, Volume 8 (1974) no. V3, pp. 105-114. http://www.numdam.org/item/RO_1974__8_3_105_0/

[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. | Zbl 0254.90049

[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. | MR 437059 | Zbl 0331.65041

[3] Abadie J., Private Communication, June 1973.

[4] Berge C., Espaces Topologiques et Fonctions Multivoques>, Dunod, Paris, 1959. | MR 105663 | Zbl 0164.52902

[5] Colville A. R., A Comparative Study on Nonlinear Programming Code, IBM - New York Scientific Center, Report No. 320.2949, June 1968. | Zbl 0224.90069

[6] Gochet W., Loute E. and Solow D., Comparative Computer Results of ThreeAlgorithms for Solving Prototype Geometric Programming Problems, (to bepublished in CERO). | Zbl 0294.90082

[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] 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] Zangwill W., The Convex-Simplex Method, Management Science, Vol. 14,pp. 221-238, 1, 1967. | MR 269300 | Zbl 0153.49002

[10] Zangwill W., Nonlinear Programming : A Unified Approach, Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1969. | MR 359816 | Zbl 0195.20804