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Variation diminution and intervals of sign regular matrices

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2025

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Results in Applied Mathematics. Elsevier. 2025, 27, 100595. eISSN 2590-0374. Verfügbar unter: doi: 10.1016/j.rinam.2025.100595

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 arise 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.

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Fachgebiet (DDC)
510 Mathematik

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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. In: Results in Applied Mathematics. Elsevier. 2025, 27, 100595. eISSN 2590-0374. Verfügbar unter: doi: 10.1016/j.rinam.2025.100595
BibTex
@article{Adm2025-08Varia-74513,
  title={Variation diminution and intervals of sign regular matrices},
  year={2025},
  doi={10.1016/j.rinam.2025.100595},
  volume={27},
  journal={Results in Applied Mathematics},
  author={Adm, Mohammad and Garloff, Jürgen},
  note={Article Number: 100595}
}
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