Publikation:

Total nonnegativity of the extended Perron complement

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2016

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http://nbn-resolving.de/urn:nbn:de:bsz:352-0-386980
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https://doi.org/10.1016/j.laa.2016.07.002
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Published

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Linear Algebra and Its Applications. 2016, 508, pp. 214-224. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2016.07.002

Zusammenfassung

A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper the extended Perron complement of a principal submatrix in a matrix A is investigated. In extension of known results it is shown that if A is irreducible and totally nonnegative and the principal submatrix consists of some specified consecutive rows then the extended Perron complement is totally nonnegative. Also inequalities between minors of the extended Perron complement and the Schur complement are presented.

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Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Totally nonnegative matrix; Perron complement; Extended Perron complement; Schur complement

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ISO 690ADM, Mohammad, Jürgen GARLOFF, 2016. Total nonnegativity of the extended Perron complement. In: Linear Algebra and Its Applications. 2016, 508, pp. 214-224. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2016.07.002
BibTex
@article{Adm2016Total-34841,
  year={2016},
  doi={10.1016/j.laa.2016.07.002},
  title={Total nonnegativity of the extended Perron complement},
  volume={508},
  issn={0024-3795},
  journal={Linear Algebra and Its Applications},
  pages={214--224},
  author={Adm, Mohammad and Garloff, Jürgen}
}
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