@article{BURO_1970__14__7_0, author = {Guignard, Monique}, title = {Conditions d'optimalit\'e et dualit\'e en programmation math\'ematique}, journal = {Cahiers du Bureau universitaire de recherche op\'erationnelle S\'erie Recherche}, pages = {7--62}, publisher = {Institut Henri Poincar\'e - Institut de Statistique de l'Universit\'e de Paris}, volume = {14}, year = {1970}, language = {fr}, url = {http://archive.numdam.org/item/BURO_1970__14__7_0/} }
TY - JOUR AU - Guignard, Monique TI - Conditions d'optimalité et dualité en programmation mathématique JO - Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche PY - 1970 SP - 7 EP - 62 VL - 14 PB - Institut Henri Poincaré - Institut de Statistique de l'Université de Paris UR - http://archive.numdam.org/item/BURO_1970__14__7_0/ LA - fr ID - BURO_1970__14__7_0 ER -
%0 Journal Article %A Guignard, Monique %T Conditions d'optimalité et dualité en programmation mathématique %J Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche %D 1970 %P 7-62 %V 14 %I Institut Henri Poincaré - Institut de Statistique de l'Université de Paris %U http://archive.numdam.org/item/BURO_1970__14__7_0/ %G fr %F BURO_1970__14__7_0
Guignard, Monique. Conditions d'optimalité et dualité en programmation mathématique. Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche, Cahier n° 14, Tome 14 (1970), pp. 7-62. http://archive.numdam.org/item/BURO_1970__14__7_0/
[1] Problèmes d'optimisation, Institut Blaise Pascal, Paris, 1965.
-[2] On the Kuhn-Tucker Theorem, Operations Research Center, University of California, Berkeley, ORC 65-18. | Zbl
-[3] Quasi-concave Programming, Econometrica, 29 (1961) 779-800. | MR | Zbl
, -[4] Constraint qualification in maximization problems, Naval Research Log. Quarterley 8(1961) 175-191. | MR | Zbl
, , -[5] Stationary points in non-linear programming, Bull. Acad. Polonaise Sci., Ser. Sci. Math. Astr. Phys. 12(1964) 29-35. | MR | Zbl
-[6] A new derivation of the Kuhn-Tucker conditions, Quart. Appl. Math. 21(1963) 295-299. | MR | Zbl
-[7] A duality theorem for convex programs for convex constraints, Bull. Amer. Math. Soc. 68(1962) 605-608. | MR | Zbl
, , -[8] Symmetric dual quadratic programs, Quart.Appl. Math. 21(1963) 237-243. | MR | Zbl
-[9] A theorem of Fritz John in Mathematical Programming, The Rand Corporation, 1963. RM 3858 PR.
-[10] Duality in quadratic programming, Quart. Appl. Math. 18(1960) 155-162. | MR | Zbl
-[11] A duality theorem for convex programs, IBM J. Res. Dev. 4(1960) 407-413. | MR | Zbl
-[12] Self-dual quadratic programs, J. SIAM 9 (1961) 51-54. | MR | Zbl
-[13] Extremum problems in the presence of constraints, Zh. Vychisl. Mat. i Mat. Fiz., 5 (1965) 395-453. | Zbl
, -[14] Dual programs and minimum cost, J. SIAM 10 (1962) 119-123. | MR | Zbl
-[15] Duality in homogeneous programming, Proc . Am. Math. Soc. 12 (1961) 783-787. | MR | Zbl
-[16] Convex cones, sets and functions, Princeton University (1953). | Zbl
-[17] Second order sufficient conditions for weak and strict constrained minima, SIAM J. Appl. Math. 16 (1968) 105-108. | MR | Zbl
-[18] Conditions d'optimalité en programmation mathématique dans un espace de Banach, C. R. Ac. Sc. 267 (1968) 5, 223-225. | MR | Zbl
-[19] Generalized Kuhn-Tucker conditions for mathematical programming problems in a Banach space, IBM Data Proc. Div. Report 320-2920. SIAM J. on Control 7 . (1969) 232-241. | MR | Zbl
-[20] An abstract framework for the theory of process optimization, Bull. Amer. Math. Soc. 72 (1966) 677-678. | MR | Zbl
-[21] Nonlinear nonconvex programming in an infinite dimensional space, Mathematical Theory of Control, ed. A. V. Balakrishnan, Academic Press, New York, (1967) 10-25. | MR | Zbl
-[22] General necessary conditions for optimization problems, Proc. Nat. Acad. Sci. USA 56 (1966) 1066-1071. | MR | Zbl
, -[23] A duality theorem in nonlinear programming with nonlinear constraints, Austr. J. Stat. 3 (1961) 64-72. | MR | Zbl
-[24] Dual programs, IBM J. Res. Dev. 6 (1962) 137-139. | Zbl
-[25] Programme dual, Math. des Progr. Economiques, Monographies de Recherche operationnelle, 1, 13-17. | Zbl
-[26] Extremum problems with inequalities as subsidiary conditions, Studies and Essays Interscience Pub. Inc., New York (1948) 187-204. | MR | Zbl
-[27] A generalization of Brouwer fixed point theorem, Duke Math. 8 (1941) 418-457. | JFM | MR
-[28] A note on Lagrangian multipliers, The Rand Corporation, (1963) P 2713-1.
-[29] Nonlinear programming, Proc, 2nd Berkeley Symposium University of California Press, Berkeley, (1951) 481-492. | MR | Zbl
, -[30] Duality in nonlinear programming, Quart. Appl. Math. 20 (1962) 300-302. | MR | Zbl
-[31] The Fritz John necessary optimality conditions in the presence of equality and inequality constraints, J. Math. An. Appl. 17 (1967) 37-47 | MR | Zbl
, -[32] Minimax and duality in nonlinear programming, J. Math. An. Appl. 11 (1965) 504-518. | MR | Zbl
, -[33] Pseudo-convex functions, J. SIAM Control 3 (1965) 281-290. | MR | Zbl
-[34] Second order conditions for constrained minima, SIAM J. Appl. Math. 15 (1967) 641-652 | MR | Zbl
-[35] An abstract variational theory with applications to a broad class of optimization problems, Report of the Electronic Sciences Laboratory, University of Southern California, Los Angeles. | Zbl
-[36] Compléments à la théorie des multiplicateurs en programmation non linéaire, Revue française de Recherche opérationnelle, 27 (1963) 163-180.
-[37] Maxima and minima under restraint, Amer. Math. Monthly 59 (1952) 230-235. | MR | Zbl
-[38] An extension of the min-max theorem, SIAM Review 7 (1965) 181-188. | MR | Zbl
-[39] Convex programming in a normed space, Kibernetika 5 (1965) 46-54. | Zbl
-[40] Programmation mathématique et dualité, Université de Poitiers, Séminaire de Statistiques et Econométrie (1966)
-[41] Sufficiency conditions in nonlinear programming, College of Engineering, University of Florida (1967).
, -[42] Duality for nonlinear programming in a Banach space, SIAM J. Appl. Math. 15 (1967) 294-302. | MR | Zbl
-[43] Necessary conditions for an extreme value and their use in the study of certain equations, Soviet Math. Dokl. (trad. angl.) 7 (1966) 978-980. | Zbl
-[44] The Kuhn-Tucker conditions in Banach space with an application to control theory, J. Math. An. Appl. 15 (1966) 200-212. | MR | Zbl
-[45] Programmation linéaire, Dunod, Paris (1962). | Zbl
-[46] Sur une généralisation du théorème du minimax, C. R. Ac. Sci. Paris 244 (1957) 2120
-[47] Lagrange multipliers revisited, The Rand Corporation, (1951) RM 676
-[48] Duality in nonlinear programming and the minmax theorem, Num. Math. 5 (1963) 371-379. | MR | Zbl
-[49] The Kuhn-Tucker theorem in concave programming, Studies in linear and nonlinear programming, Stanford University Press, 32-37.
-[50] Dans Nonlinear Programming, North Holland Pub. Amsterdam (1966).
-[51] Nonlinear programming in Banach space, SIAM J. Appl. Math. 15 (1967) 284-293. | MR | Zbl
-[52] Nonlinear programming and optimal control, ERL Technical Memorandum M-129, University of California, Berkeley (1965).
-[53] Differential calculus in nonlinear programming, Opns. Res. 10 (1962) 764-773. | MR | Zbl
-[54] Conjugate functions and dual programs, Nav. Res. Log. Quart. 12 (1965) 315-322. | MR | Zbl
-[55] A duality theorem for nonlinear programming, The Rand Corporation, P 2028. | Zbl
-