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Mathematische Operationsforschung und Statistik. Series Optimization Volume 14, 1983 - Issue 1
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Original Articles

Fenchel-duality and separably-infinite programs

J.M. Borwein Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, N.S, B3H 4H8, Canada
&
K.O. Kortanek Department of Mathematics, Carnegie-Mellon University, Schenley Park, Pittsburgh, Pennsylvania, 15213, U.S.A
Pages 37-48 | Received 01 Sep 1981, Published online: 27 Jun 2007

References

  • Aneros , K. “ A general framework for solving structured linear programs by column and row generation techniques ” . In Dept. Math , Stockholm : Royal Inst. Technology . Report TRITA-MAT-1978-79
  • Charnes , A. 1953 . “ Constrained games and linear programming ” . In Proc. Nat. Acad. Sci Vol. 38 , 639 – 641 . USA
  • Charnes , A. , Gribik , P.R. and Kobtanek , K.O. 1980 . Separably-infinite programming . Zeitschrift für Operations Research , 24 : 33 – 45 .
  • Charnes , A. , Gribik , P.R. and Kobtanek , K.O. 1980 . Polyextremal principles and separably-infinite programs . Zeitschrift für Operations Research , 24 : 211 – 234 .
  • R. J. Duffin, R.G. Jeroslow, L. A. Kablovitz, Duality in semi-infinite linear programming. In:A. V. Fiacco, K.O. Kobtanek, (eds.):Semi-Infinite Programming and Applications. Springer Veiiag, Berlin, Heidelberg, New York (1983) (to appear)
  • Glashoff , K. 1979 . “ Duality theory of semi-infinite programming ” . In Semi-Infinite Programming.Lecture Notes in Control and Information Sciences Berlin, New York Heidelberg
  • Lindberg , P.O. 1980 . FENCHEI, duality from LP duality. Math. Operationsforsch . Statist., Ser Optimization , 11 : 171 – 180 .
  • Rockafellar , R.T. 1970 . Convex Analysis Princeton, New Jersey
  • Stoer , J. and Witzgall , C. 1970 . Convexity and Optimization in Finite Dimensions I New York

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