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Mathematical Programming
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Mathematical Programming
Article . 2003 . Peer-reviewed
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The mathematics of eigenvalue optimization

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2003 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 97, pages 155-176 (issn: 0025-5610, eissn: 1436-4646, Copyright policy )Funded by:NSERC | unidentified
Authors: Adrian S. Lewis;

doi: 10.1007/s10107-003-0441-3

The mathematics of eigenvalue optimization

Abstract

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Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming, nonsmooth analysis, Nonlinear programming, Nonsmooth analysis, robustness, stability, Inequalities involving eigenvalues and eigenvectors

  • BIP!
    Impact byBIP!
    citations
    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).
    		 69
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
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!
69
Top 10%
Top 1%
Average
bronze