Complementarity for arbitrary cones

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1977 English Publisher:Springer Science and Business Media LLCJournal:Zeitschrift für Operations Research, volume 21, pages 143-150 (issn: 0340-9422, eissn: 1432-5217,

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Authors: Bruce Desmond Craven; Bert Mond;

doi: 10.1007/bf01919770

Complementarity for arbitrary cones

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Abstract

A complementarity theorem ofDantzig andCottle, for inequality-constrained minimization problems, is generalized both to inequalities involving arbitrary cones, and to problems in complex spaces. Various known theorems on duality and converse duality then follow, for both real and complex spaces.

Related Organizations

University of Melbourne
Australia
La Trobe University
Australia

Keywords

Extremal problems for conformal and quasiconformal mappings, other methods, Nonlinear programming

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