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Mathematical Programming
Article
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IIASA PURE
Research . 1983
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Mathematical Programming
Article . 1984 . Peer-reviewed
License: Springer TDM
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Article . 1984
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Article . 1984
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Article . 1984
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https://dx.doi.org/10.1007/bf0...
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Article . 1984
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An alternative variational principle for variable metric updating

descriptionPublicationkeyboard_double_arrow_right Article , Research , Book 01 Sep 1984 Austria English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 30, pages 99-104 (issn: 0025-5610, eissn: 1436-4646, Copyright policy )
Authors: Nazareth, J.L.;

doi: 10.1007/bf02591801

An alternative variational principle for variable metric updating

Abstract

We describe a variational principle based upon minimizing the extent to which the inverse Hessian approximation, say H, violates the quasi-Newton relation, on the step immediately prior to the step used to construct H. Its application to the case when line searches are exact suggests use of the BFGS update.

Country
Austria
Related Organizations
Keywords

variational principle, 550, variable metric methods, Nonlinear programming, BFGS update, Mathematical programming, Optimality conditions for free problems in two or more independent variables, unconstrained minimization

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
4
Average
Average
Average
Green
bronze