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The Mathematical Intelligencer
Article
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arXiv.org e-Print Archive
Preprint . 1999
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The Mathematical Intelligencer
Article . 2000 . Peer-reviewed
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Article . 2000
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https://dx.doi.org/10.48550/ar...
Article . 1999
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Total Positivity: Tests and Parametrizations

Total positivity: tests and parametrizations.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2000Embargo end date: 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:The Mathematical Intelligencer, volume 22, pages 23-33 (issn: 0343-6993, Copyright policy )Funded by:NSF | Mathematical Sciences: Al..., NSF | Algebraic Combinatorics
Authors: Fomin, Sergey; Zelevinsky, Andrei;

doi: 10.1007/bf03024444 , 10.48550/arxiv.math/9912128

arXiv: math/9912128

Total Positivity: Tests and Parametrizations

Abstract

An introduction to total positivity (TP), with the emphasis on efficient TP criteria and parametrizations of TP matrices. Intended for general mathematical audience.

20 pages, with color figures

Related Organizations
Keywords

Mathematics - Rings and Algebras, Factorization of matrices, Positive matrices and their generalizations; cones of matrices, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, Hermitian, skew-Hermitian, and related matrices, Combinatorics (math.CO), Representation Theory (math.RT), Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematics - Representation Theory

  • BIP!
    Impact byBIP!
    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).
    		 110
    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.
    		 Top 10%
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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!
110
Top 10%
Top 1%
Top 10%
Green
bronze