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All issues Volume 5 / No R2 (1971) R.I.R.O., 5 R2 (1971) 3-42 References
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Issue
R.I.R.O.
Volume 5, Number R2, 1971
Page(s) 3 - 42
DOI https://doi.org/10.1051/m2an/197105R200031
Published online 01 February 2017
  1. 1. M. ATTÉIA, Fonctions spline avec contraintes linéaires type inégalité. Congrèsde l'Afiro, Nancy, mai 1967, 1-42 à 1-54. [Google Scholar]
  2. 2. M. ATTEIA, Fonctions spline définies sur un ensemble convexe, Num. Math., 12 (1968), 192-210. [EuDML: 131864] [MR: 257615] [Zbl: 0186.45202] [Google Scholar]
  3. 3. R. W. COTTLE, Symmetriec dual quadratic programs, Quart. Appl. Math., 21 (1963), 237-243. [MR: 156707] [Zbl: 0127.36802] [Google Scholar]
  4. 4. G. DANTZIG,E. EISENBERG and R. W. COTTLE, Symmetric dual non-linear programs, Pac. J. Math., 15 (1965), 809-812. [MR: 202471] [Zbl: 0136.14001] [Google Scholar]
  5. 5. J. E. FALK, Lagrange multipliers and non-linear programming, J. Math. Anal.Appl., 19 (1967), 141-159. [MR: 211753] [Zbl: 0154.44803] [Google Scholar]
  6. 6. W. FENCHEL, On conjugate convex fonctions, Canad. J. Math., 1 (1949), 73-77. [MR: 28365] [Zbl: 0038.20902] [Google Scholar]
  7. 7. W. FENCHEL, Convex cones, sets and fonctions. Mimeographed lecture notes, Princeton University (1951). [Zbl: 0053.12203] [Google Scholar]
  8. 8. D. GALE, A geometric duality theorem with economic application, Rev. Econ. Studies, 34 (1967), 19-24. [Google Scholar]
  9. 9. D. GALE,H. W. KUHN and A. W. TUCKER, Linear programming and the theory of games. In « Activity Analysis of Production and Allocation », T. C. Koopmans éd., Wiley, N.Y. (1951). [MR: 46018] [Zbl: 0045.09709] [Google Scholar]
  10. 10. P. HUARD, Dual programs, IBM J. Res. Develop., 6 (1962), 137-139. [Zbl: 0116.12403] [Google Scholar]
  11. 11. P. HUARD, Dual programs. In « Recent Advances in Math. Programming », R. L. Graves and P. Wolfe, éd., McGraw-Hill, N.Y. (1963). [MR: 156708] [Zbl: 0225.90038] [Google Scholar]
  12. 12. W. L. JONES, On conjugate f unctionals. Dissertation, Columbia University (1960). [Google Scholar]
  13. 13. J. L. JOLY, Thèse, Université de Grenoble (1970). [Google Scholar]
  14. 14. H. W. KUHN and A. W. TUCKER, Non linear programming. In « Proc. of the Second Berkeley Symp. on Math. Stat. and Prob. », Univ. of Calif. Press, Berkeley (1951). [Zbl: 0044.05903] [Google Scholar]
  15. 15. P. J. LAURENT, Charakterisierung and Konstruktion einer besten Approximation in einer konvexen Teilmenge eines normierten Raumes. Tagung, Oberwolfach, Nov. 1967, in I.S.N.M. 12 (1969), 91-102, Birkhauser Verlag. [MR: 256042] [Zbl: 0189.35102] [Google Scholar]
  16. 16. P. J. LAURENT, Construction of spline fonctions in a convex set. In « Approximations with special emphasis on spline functions. » I. J. Schoenberg, éd., Acad. Press (1969). [MR: 252932] [Zbl: 0271.41012] [Google Scholar]
  17. 17. O. L. MANGASARIAN, Duality in non-linear programming, Quart. Appl. Math., 20 (1962), 300-302. [Zbl: 0113.35703] [Google Scholar]
  18. 18. O. L. MANGASARIAN, Minimax and duality in non-linear programming, J. Math. Anal. Appl., 11 (1965), 504-518. [Zbl: 0131.18601] [Google Scholar]
  19. 19. J. J. MOREAU, Fonctionnelles convexes. Séminaire sur les équations aux dérivées partielles, Collège de France, Paris (1966). [Google Scholar]
  20. 20. K. RITTER, Generalized spline interpolation and non-linear programming. In « Approximations with special emphasis on spline functions », I. J. Schoenberg éd., Acad. Press (1969). [MR: 374763] [Zbl: 0271.41007] [Google Scholar]
  21. 21. R. T. ROCKAFELLAR, Convex functions and dual extremum problems. Thesis, Harvard (1963). [Google Scholar]
  22. 22. R. T. ROCKAFELLAR, Duality theorems for convex fonctions, Bull. Amer. Math, Soc, 70 (1964), 189-192. [MR: 165429] [Zbl: 0121.14803] [Google Scholar]
  23. 23. R. T. ROCKAFELLAR, Duality and stability in extremwn problems involving convex functions, Pac. J. Math., 21 (1967), 167-187. [MR: 211759] [Zbl: 0154.44902] [Google Scholar]
  24. 24. R. T. ROCKAFELLAR, Convex Analysis, Princ. Univ. Press (1970). [MR: 274683] [Zbl: 0193.18401] [Google Scholar]
  25. 25. R. T. ROCKAFELLAR, Conjugate convex functions in optimal control and the calculus of variations (to appear). [MR: 266020] [Zbl: 0218.49004] [Google Scholar]
  26. 26. R. T. ROCKAFELLAR, Generalized Hamiltonian equations for convex problems of Lagrange (to appear). [MR: 276853] [Zbl: 0199.43002] [Google Scholar]
  27. 27. R. T. ROCKAFELLAR, Some convex programswhose duals are linearly constrained. In « Nonlinear programming symposium », Madison, May 4-6, 1970. [Zbl: 0252.90046] [Google Scholar]
  28. 28. R. T. ROCKAFELLAR, Convex functions and duality in optimization problems and dynamics. Lecture Notes in Operations Research and Mathematical Economics, 11, Springer Verlag (1969). [MR: 334940] [Zbl: 0186.23901] [Google Scholar]
  29. 29. M. SLATER, Lagrange multipliers revisited : a contribution to non-linear programming. Cowles Commission Discussion Paper, Math. 403 (1950). [Google Scholar]
  30. 30. J. STOER, Duality in non-linear programming and the minimax theorem, Num. Math., 5 (1963), 371-379. [EuDML: 131578] [MR: 172719] [Zbl: 0152.38104] [Google Scholar]
  31. 31. J. STOER, Uber einen Dualitatssatz der nichtlinearen Programmierung, Num. Math., 6 (1964), 55-58. [EuDML: 131592] [MR: 172720] [Zbl: 0173.47403] [Google Scholar]
  32. 32. R. J. B. WETS and R. M. Van SLYKE, A duality theory for abstract mathematical programs with applications to optimal control theory, J. Math. Anal. Appl., 22 (1968), 679-706. [MR: 229473] [Zbl: 0157.16004] [Google Scholar]
  33. 33. P. WOLFE, A duality theorem for non-linear programming, Quart. Appl. Math., 19 (1961), 239-244. [MR: 135625] [Zbl: 0109.38406] [Google Scholar]

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