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Sur des méthodes d’optimisation par relaxation. (French) Zbl 0279.90033


MSC:

90C25 Convex programming
90C30 Nonlinear programming

References:

[1] VARGA R. S., Matrix itérative analysis, Prentice Hall, Englewood Cliffs, New Jersey, 1962. Zbl0133.08602 MR158502 · Zbl 0133.08602
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[3] ORTEGA J. M. et RHEIBOLDT W. C., Iterative solution of non linear equations in several variables, Academic Press, 1970. · Zbl 0241.65046
[4] MIELLOU J. C., C.R.A.S., 273, série A, 1971, p.1257-1260. · Zbl 0252.65048
[5] MIELLOU J. C., C.R.A.S., 275, série A, 1972, p. 1107-1110. · Zbl 0251.47053
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[7] SCHECHTER S., Relaxation method for convex problems, SIAM J. of Num. Anal., vol. 5, 1968, p. 601-612. Zbl0179.22701 MR247766 · Zbl 0179.22701 · doi:10.1137/0705048
[8] SCHECHTER S., Minimization of convex functions by relaxation, ch. 7 de Integer and non linear programing. Abadie editor, North Holland, 1970, p. 177-189. Zbl0346.90037 MR436594 · Zbl 0346.90037
[9] CEA J., Recherche numérique d’un optimum dans un espace produit. Lectures Notes in Mathematics, Springer Verlag, 112, Colloquium on Methods of Optimization, 1970. Zbl0202.16401 · Zbl 0202.16401
[10] CEA J., Optimisation, théorie et algorithme, Dunond, 1971. Zbl0211.17402 · Zbl 0211.17402
[11] AUSLENDER A., Méthodes numériques pour la décomposition et la minimisation de fonctions non différentiables, Numer. Math., 18, 213-223, 1972. Zbl0215.27504 MR359795 · Zbl 0215.27504 · doi:10.1007/BF01397082
[12] CHRISTOPHERSON D. G., A New Mathematical method for the solution of Film Lubrification Problems, Proc. Inst. Mech. Engrgs, 146, 1941, p. 126-135. Zbl0063.00888 MR6295 · Zbl 0063.00888
[13] CRYER C. W., The Method of Christopherson for Solving Free Boundary problems for Infinite Journal Beavings by Means of Finite Differences. Math. Comp., 25, 1971, p. 435-443. Zbl0223.65044 MR298961 · Zbl 0223.65044 · doi:10.2307/2005205
[14] CRYER C. W., The solution of a quadratic programing problem using systematic over relaxation, SIAM J. of Control, vol. 9, n^\circ 3, Aug. 1971, p. 385-392. Zbl0201.22202 MR298922 · Zbl 0201.22202 · doi:10.1137/0309028
[15] GLOWINSKI R., La Méthode de Relaxation, Rendiconti di Matematica, 14, Univ. de Rome, 1971.
[16] YOSIDA K., Functional Analysis, Springer Verlag, 1968. · Zbl 0152.32102
[17] BREZIS H. et STAMPACCHIA G., Sur la régularité de la solution d’inéquations elliptiques, Bull. de la Soc., Mathématiques de France, t. 96, 1968, p. 153-180. Zbl0165.45601 · Zbl 0165.45601
[18] LANCHON H., C.R.A.S., 269, série A, 1969, p. 791-794.
[19] LANCHON H. et DUVAUT G., C.R.A.S., 264, série A, 1967, p. 520-523.
[20] BREZIS H. et SIBONY M., Equivalence de deux Inéquations variationnelles et Applications, Arch. Rat. Mech. Analysis, vol. 41, Number 4, 1971, p. 254-265. Zbl0214.11104 MR346345 · Zbl 0214.11104 · doi:10.1007/BF00250529
[21] CEA J., GLOWINSKI R. et NEDELEC J. C., Méthodes Numériques pour le problème de la Torsion Elasto-Plastique d’une barre cylindrique, à paraître aux Cahiers de l’I.R.I.A., 1973.
[22] BOURGAT J. F., Thèse de 3e cycle, Paris VI, 1971.
[23] GOURSAT M., Thèse de 3e cycle, Paris VI, 1971.
[24] CEA J., Approximation variationnelle des problèmes aux limites. Ann. Inst. Fourier, 14, 2, 1964. Zbl0127.08003 MR174846 · Zbl 0127.08003 · doi:10.5802/aif.181
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