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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Mathematical Program...arrow_drop_down
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Mathematical Programming
Article . 1987 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1987
Data sources: zbMATH Open
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Article . 2017
Data sources: DBLP
https://dx.doi.org/10.1007/bf0...
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An exact penalty function for semi-infinite programming

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1987 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 37, pages 19-40 (issn: 0025-5610, eissn: 1436-4646, Copyright policy )
Authors: Andrew R. Conn; Nicholas I. M. Gould;

doi: 10.1007/bf02591681

An exact penalty function for semi-infinite programming

Abstract

The authors describe an exact penalty function for nonlinear semi- infinite programming. This function is a generalization of the \(\ell_ 1\) exact penalty function for nonlinear programming and may be used as a merit function for semi-infinite programming methods. The convex case as well as the nonconvex case (using some quadratic approximations) are considered. Moreover, an integral-inequality and asymptotic formula for certain functions have been proved; these results may be of more general interest.

Related Organizations
Keywords

quadratic approximations, Convex programming, Numerical mathematical programming methods, Numerical methods based on nonlinear programming, Nonlinear programming, Other numerical methods in calculus of variations, nonlinear semi-infinite programming, exact penalty function, Semi-infinite programming, merit function, nonconvex case

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Top 10%
Top 10%
Top 10%
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