Abstract
In [4] several procedures were presented for finding a saddle point of a continuous convex-concave function, and it was shown that some decomposition methods for convex programs can be considered as special cases of these procedures. This paper follows the same way of thinking.
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References
Dantzig, G.B.: “Linear programming and extensions”, pp. 476–477, Princeton University Press, Princeton, 1963.
Fiacco, A.V.: “Sensitivity analysis for nonlinear programming using penalty methods”, Technical paper, The George Washington University, Washington, 1973.
Kronsjö, T.O.M.: “Decomposition of a nonlinear convex separable economic system in primal and dual directions”. In: Optimization (ed. by R. Fletcher ), pp. 85–97, Academic Press, London, 1969.
Oettli, W.: “Eine allgemeine, symmetrische Formulierung des Dekompositionsprinzips für duale Paare nichtlinearer Min-max-und Maxmin-Probleme”, Zeitschrift für Operations Research 18 (1974), 1–18.
Stahl, J.: “Decomposition procedure for doubly coupled LP programs”, INFELOR Közlemények 10, Budapest, 1975 (In Hungarian).
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© 1976 Springer-Verlag Berlin · Heidelberg
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Stahl, J. (1976). Decomposition Procedures for Convex Programs. In: Oettli, W., Ritter, K. (eds) Optimization and Operations Research. Lecture Notes in Economics and Mathematical Systems, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46329-7_27
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DOI: https://doi.org/10.1007/978-3-642-46329-7_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07616-2
Online ISBN: 978-3-642-46329-7
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