Matrices Having a Positive Determinant and All Other Minors Nonpositive

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dc.contributor.authorHassuneh, Imad
dc.contributor.authorAdm, Mohammad
dc.contributor.authorGarloff, Jürgen
dc.date.accessioned2023-08-07T12:10:53Z
dc.date.available2023-08-07T12:10:53Z
dc.date.issued2023
dc.description.abstractThe class of square matrices of order n having a positive determinant and all their minors up to order n-1 nonpositive is considered. A characterization of these matrices based on the Cauchon algorithm is presented which provides an easy test for their recognition. Furthermore, it is shown that all matrices lying between two matrices of this class with respect to the checkerboard ordering are contained in this class, too.
dc.description.versionsubmitted
dc.identifier.doi10.1515/spma-2024-0031
dc.identifier.ppn185448076
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/67508
dc.language.isoeng
dc.relation.ispartofseriesKonstanzer Schriften in Mathematik
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectSign regular matrix
dc.subjecttotally nonnegative matrix
dc.subjecttotally nonpositive matrix
dc.subjectinterval property
dc.subjectcheckerboard ordering
dc.subjectCauchon algorithm
dc.subject.ddc510
dc.titleMatrices Having a Positive Determinant and All Other Minors Nonpositiveeng
dc.typeWORKINGPAPER
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kops.citation.bibtex
@techreport{Hassuneh2023Matri-67508,
  series={Konstanzer Schriften in Mathematik},
  title={Matrices Having a Positive Determinant and All Other Minors Nonpositive},
  year={2023},
  doi={10.1515/spma-2024-0031},
  number={410},
  author={Hassuneh, Imad and Adm, Mohammad and Garloff, Jürgen},
  note={Preprint submitted in: Special Matrices}
}
kops.citation.iso690HASSUNEH, Imad, Mohammad ADM, Jürgen GARLOFF, 2023. Matrices Having a Positive Determinant and All Other Minors Nonpositivedeu
kops.citation.iso690HASSUNEH, Imad, Mohammad ADM, Jürgen GARLOFF, 2023. Matrices Having a Positive Determinant and All Other Minors Nonpositiveeng
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kops.description.commentPreprint submitted in: Special Matrices
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