Farkas’ lemma: three decades of generalizations for mathematical optimization

• N. Dinh ^[1] ; V. Jeyakumar ^[2]
  1. [1] International University

     International University

     Camboya

     
  2. [2] University of New South Wales, Australia
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 22, Nº. 1, 2014, págs. 1-22
• Idioma: inglés
• DOI: 10.1007/s11750-014-0319-y
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• Resumen

  • In this paper we present a survey of generalizations of the celebrated Farkas’s lemma, starting from systems of linear inequalities to a broad variety of non-linear systems. We focus on the generalizations which are targeted towards applications in continuous optimization. We also briefly describe the main applications of generalized Farkas’ lemmas to continuous optimization problems.