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when quoting this document, please refer to the following
URN: urn:nbn:de:0030-drops-2167
URL: http://drops.dagstuhl.de/opus/volltexte/2005/216/

Murota, Kazuo

Fundamentals in Discrete Convex Analysis

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Abstract

This talk describes fundamental properties of M-convex and L-convex functions that play the central roles in discrete convex analysis. These concepts were originally introduced in combinatorial optimization, but turned out to be relevant in economics. Emphasis is put on discrete duality and conjugacy respect to the Legendre-Fenchel transformation. Monograph information: http://www.misojiro.t.u-tokyo.ac.jp/~murota/mybooks.html#DCAsiam2003

BibTeX - Entry

@InProceedings{murota:DSP:2005:216,
  author =	{Kazuo Murota},
  title =	{Fundamentals in Discrete Convex Analysis},
  booktitle =	{Computing and Markets},
  year =	{2005},
  editor =	{Daniel Lehmann and Rudolf M{\"u}ller and Tuomas Sandholm},
  number =	{05011},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2005/216},
  annote =	{Keywords: gross substitute, discrete convex functions, M-convex function, Fenchel-Legendre transformation}
}

Keywords: gross substitute, discrete convex functions, M-convex function, Fenchel-Legendre transformation
Seminar: 05011 - Computing and Markets
Issue date: 2005
Date of publication: 19.07.2005


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