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Sur quelques méthodes de gradient reduit sous contraintes linéaires. (French) Zbl 0409.90075

MSC:
90C30 Nonlinear programming
41A25 Rate of convergence, degree of approximation
90C52 Methods of reduced gradient type
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References:
[1] 1. P. FAURE et P. HUARD, Résolution de programmes mathématiques à fonction non linéaire par la méthode du Gradient réduit, R.F.R.O., n^\circ 36, 1965, p. 167-206. Zbl0135.20001 · Zbl 0135.20001
[2] 2. P. HUARD, Convergence de la méthode du Gradient réduit dans Nonlinear Programming Symposium, Madison, avril 1974, O L. MANGASARIAN , R. R. MEYER; S. M. ROBINSON, éd., Academic Press, 1975, p. 29-54. Zbl0323.90046 MR421678 · Zbl 0323.90046
[3] 3. D. LUENBERGER, Introduction to Linear and Nonlinear Programming, Addison Wesley, 1973. Zbl0297.90044 · Zbl 0297.90044
[4] 4. G. MCCORMICK, Antizigzaging by Bending, Management Science, vol. 15, 1969, p. 315-320.
[5] 5. H MOKHTAR-KHARROUBI, Thèse 3e cycle, Pans VI, juin 1976
[6] 6. P. WOLFE, The Reduced Gradient Method Rand Document, juin 1962.
[7] 7. P. WOLFE, On the Convergence of Gradient Method under Constraints, I.B.M. J., juillet 1972 , p. 407-411. Zbl0265.90046 MR331177 · Zbl 0265.90046 · doi:10.1147/rd.164.0407
[8] 8. W. ZANGWILL, The Convex-Simplex Method, Management Science, vol. 14, n^\circ 3, 1967, p 221-238. Zbl0153.49002 MR269300 · Zbl 0153.49002 · doi:10.1287/mnsc.14.3.221
[9] 9. W. ZANGWILL, Nonlinear Programming, Prentice Hall, 1969. Zbl0195.20804 · Zbl 0195.20804
[10] 10. G. ZOUTENDUK, Methods of Feasible Directions, Elsevier Publishmg Co., Amsterdam 1960. Zbl0097.35408 · Zbl 0097.35408
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