Publikation:

Variation Diminution and Intervals of Sign Regular Matrices

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2025

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-8zglvwxh1k7k5
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Zusammenfassung

A sign regular matrix is a matrix having the property that its non-zero minors of all orders have for each order an identical sign. Such matrices appear in a wide range of applications. In this paper, intervals of real matrices with respect to the usual entry-wise partial ordering are considered. Using variation diminution, it is shown that all matrices in such an interval are sign-regular with the same signature of their minors if a specified finite set of element matrices in the interval has this property.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Sign regular matrix, variation diminution, matrix interval

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ISO 690ADM, Mohammad, Jürgen GARLOFF, 2025. Variation Diminution and Intervals of Sign Regular Matrices
BibTex
@techreport{Adm2025Varia-73497,
  series={Konstanzer Schriften in Mathematik},
  title={Variation Diminution and Intervals of Sign Regular Matrices},
  year={2025},
  number={415},
  author={Adm, Mohammad and Garloff, Jürgen},
  note={Preprint submitted to Results in Applied Mathematics}
}
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Preprint submitted to Results in Applied Mathematics
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