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A duality theory for convex programs with convex constraints. (English) Zbl 0131.36502


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[1] A. Charnes and W. W. Cooper, Management models and industrial applications of linear programming, John Wiley & Sons, Inc., New York-London, 1961. A. Charnes and W. W. Cooper, Management models and industrial applications of linear programming. Vol. II, John Wiley & Sons, Inc., New York-London, 1961. · Zbl 0107.37004
[2] R. J. Duffin, Dual programs and minimum cost, J. Soc. Indust. Appl. Math. 10 (1962), 119 – 123. · Zbl 0106.13905
[3] E. Eisenberg, Duality in homogeneous programming, Proc. Amer. Math. Soc. 12 (1961), 783 – 787. · Zbl 0102.15503
[4] A. Haar, Über lineare Ungleichungen, Acta. Math. Szeged 2 (1924), 1-14. · JFM 50.0699.02
[5] H. W. Kuhn and A. W. Tucker, Nonlinear programming, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley and Los Angeles, 1951, pp. 481 – 492.
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