Intervals of totally nonnegative matrices

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2013
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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).

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Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Totally nonnegative matrix; Checkerboard ordering; Matrix interval; Cauchon diagram; Cauchon Algorithm
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ISO 690ADM, 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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