On cone d.c. optimization and conjugate duality

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper derives first order necessary and sufficient conditions for unconstrained cone d.c. programming problems where the underlined space is partially ordered with respect to a cone. These conditions are given in terms of directional derivatives and subdifferentials of the component functions. Moreover, conjugate duality for cone d.c. optimization is discussed and weak duality theorem is proved in a more general partially ordered linear topological vector space (generalizing the results in [11]).

Original languageEnglish
Pages (from-to)521-528
Number of pages8
JournalChinese Annals of Mathematics. Series B
Volume24
Issue number4
DOIs
Publication statusPublished - 2003

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D.C. Optimization
Conjugate Duality
Cones
Cone
DC Programming
Directional derivative
Order Conditions
Topological Vector Space
Subdifferential
Duality Theorems
Vector spaces
First-order
Derivatives
Necessary Conditions
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "On cone d.c. optimization and conjugate duality",
abstract = "This paper derives first order necessary and sufficient conditions for unconstrained cone d.c. programming problems where the underlined space is partially ordered with respect to a cone. These conditions are given in terms of directional derivatives and subdifferentials of the component functions. Moreover, conjugate duality for cone d.c. optimization is discussed and weak duality theorem is proved in a more general partially ordered linear topological vector space (generalizing the results in [11]).",
author = "M. Semu",
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On cone d.c. optimization and conjugate duality. / Semu, M.

In: Chinese Annals of Mathematics. Series B, Vol. 24, No. 4, 2003, p. 521-528.

Research output: Contribution to journalArticle

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