Publikation:

Intervals of Totally Nonnegative Matrices

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Adm_250051.pdf
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2013

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http://nbn-resolving.de/urn:nbn:de:bsz:352-250051
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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 nonsigular and totally nonnegative (and in addition all their zero minors are identical) then all matrices from this matrix interval are also nonsingular and totally nonnegative (with identical zero minors).

Zusammenfassung in einer weiteren Sprache

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
BibTex
@techreport{Adm2013Inter-25005,
  year={2013},
  series={Konstanzer Schriften in Mathematik},
  title={Intervals of Totally Nonnegative Matrices},
  number={321},
  author={Adm, Mohammad and Garloff, Jürgen}
}
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