Nonlinear optimization using the generalized reduced gradient method
RAIRO - Operations Research - Recherche Opérationnelle, Volume 8 (1974) no. V3, p. 73-103
@article{RO_1974__8_3_73_0,
     author = {Lasdon, Leon S. and Fox, Richard L. and Ratner, Margery W.},
     title = {Nonlinear optimization using the generalized reduced gradient method},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     publisher = {EDP-Sciences},
     volume = {8},
     number = {V3},
     year = {1974},
     pages = {73-103},
     zbl = {0329.90060},
     mrnumber = {451713},
     language = {en},
     url = {http://www.numdam.org/item/RO_1974__8_3_73_0}
}
Lasdon, Leon S.; Fox, Richard L.; Ratner, Margery W. Nonlinear optimization using the generalized reduced gradient method. RAIRO - Operations Research - Recherche Opérationnelle, Volume 8 (1974) no. V3, pp. 73-103. http://www.numdam.org/item/RO_1974__8_3_73_0/

[1] Dantzig G. B., Linear Programming and Extensions, Princeton University Press, Princeton, NJ., 1963, pp. 94-95. | MR 201189 | Zbl 0997.90504

[2] Luenberger D., Introduction to Linear and Nonlinear Programming, Addison-Wesley, 1973. | Zbl 0297.90044

[3] Abadie J. and Carpentier J., «Generalization of the Wolfe Reduced Gradient Method to the Case of Nonlinear Constraints» in Optimization, R. Fletcher, Ed., Academic Press, 1969, pp. 37-47. | Zbl 0254.90049

[4] Abadie J., «Application of the GRG Algorithm to Optimal Control Problems» in Nonlinear and Integer Programming, J. Abadie, Ed., North Holland Publishing Co., 1972, pp. 191-211. | MR 437059 | Zbl 0332.90040

[5] Goldfarb D., Extension of Davidons Variable Metric Method to Maximization Under Linear Inequality and Equality Constraints, SIAM J. Appl. Math, Vol. 17 No. 4, July 1969. | MR 290799 | Zbl 0185.42602

[6] Lasdon L. S., Fox R., Tamir A. and Ratner M., An Efficient One Dimensional Search Procedure, Report No. 54, Division of Solid Mechanics, Structures, and Mechanical Design, Case Western Reserve University, June 1973.

[7] Huckfeldt V., Nonlinear Optimization with Upper and Lower Bounds, Technical Memorandum No. 194, Operations Research Department, Case Western Reserve University, Cleveland, Ohio, April 1971.