Intervals of totally nonnegative matrices

Adm, Mohammad; Garloff, Jürgen

Intervals of totally nonnegative matrices

Dateien

Adm_0-299757.pdfGröße: 123.62 KBDownloads: 289

Datum

2013

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Linear Algebra and its Applications. 2013, 439(12), pp. 3796-3806. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2013.10.021

Zusammenfassung

Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard ordering are considered. It is proven that if the two bound matrices of such a matrix interval are nonsingular and totally nonnegative (and in addition all their zero minors are identical) then all matrices from this interval are also nonsingular and totally nonnegative (with identical zero minors).

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Totally nonnegative matrix; Checkerboard ordering; Matrix interval; Cauchon diagram; Cauchon Algorithm

Zitieren

ISO 690

ADM, Mohammad, Jürgen GARLOFF, 2013. Intervals of totally nonnegative matrices. In: Linear Algebra and its Applications. 2013, 439(12), pp. 3796-3806. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2013.10.021

BibTex

@article{Adm2013Inter-31645,
  year={2013},
  doi={10.1016/j.laa.2013.10.021},
  title={Intervals of totally nonnegative matrices},
  number={12},
  volume={439},
  issn={0024-3795},
  journal={Linear Algebra and its Applications},
  pages={3796--3806},
  author={Adm, Mohammad and Garloff, Jürgen}
}

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