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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 274))

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Abstract

In this chapter the terminology of mathematical programming and in particular that of the duality theory for convex programming problems is introduced. A few well-known basic duality theorems which will be applied in Chapters 3, 4, 5, 7 and 8 are reviewed. No new results are reported.

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References

  1. J. Ponstein (1980). Approaches to the Theory of Optimization, Cambridge University Press, Cambridge.

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  2. R.T. Rockafellar (1970). Convex Analysis, Princeton University Press, Princeton NJ.

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  3. R.T. Rockafellar (1974). Conjugate Duality and Optimization, SIAM, Philadelphia Pa.

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© 1986 Springer-Verlag Berlin Heidelberg

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Klein Haneveld, W.K. (1986). Mathematical Programming and Duality Theory. In: Duality in Stochastic Linear and Dynamic Programming. Lecture Notes in Economics and Mathematical Systems, vol 274. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51697-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-51697-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16793-8

  • Online ISBN: 978-3-642-51697-9

  • eBook Packages: Springer Book Archive

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