Publikation:

Improved tests and characterizations of totally nonnegative matrices

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Adm_0-271648.pdf
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2014

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URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-0-271648
DOI (zitierfähiger Link)
https://doi.org/10.13001/1081-3810.1920
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Electronic Journal of Linear Algebra (ELA). 2014, 27, pp. 588-610. ISSN 1081-3810. eISSN 1537-9582. Available under: doi: 10.13001/1081-3810.1920

Zusammenfassung

Totally nonnegative matrices, i.e., matrices having all minors nonnegative, are considered. A condensed form of the Cauchon algorithm which has been proposed for finding a parameterization of the set of these matrices with a fixed pattern of nonvanishing minors is derived. The close connection of this variant to Neville elimination and bidiagonalization is shown and new determinantal tests for total nonnegativity are developed which require much fever minors to be tested than for the tests known so far. New characterizations of some subclasses of the totally nonnegative matrices as well as shorter proofs for some classes of matrices for being (nonsingular and) totally nonnegative are derived.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Totally nonnegative matix, totally positive matrix, Cauchon algorithm, Neville elimination, bidiagonalization

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ISO 690ADM, Mohammad, Jürgen GARLOFF, 2014. Improved tests and characterizations of totally nonnegative matrices. In: Electronic Journal of Linear Algebra (ELA). 2014, 27, pp. 588-610. ISSN 1081-3810. eISSN 1537-9582. Available under: doi: 10.13001/1081-3810.1920
BibTex
@article{Adm2014Impro-29987,
  year={2014},
  doi={10.13001/1081-3810.1920},
  title={Improved tests and characterizations of totally nonnegative matrices},
  url={http://repository.uwyo.edu/ela/vol27/iss1/255/},
  volume={27},
  issn={1081-3810},
  journal={Electronic Journal of Linear Algebra (ELA)},
  pages={588--610},
  author={Adm, Mohammad and Garloff, Jürgen},
  note={Article Number: 255}
}
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Kontakt
URL der Originalveröffentl.
http://repository.uwyo.edu/ela/vol27/iss1/255/

Prüfdatum der URL

2015-02-24

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