@techreport{Hassuneh2023Matri-67508,
  year={2023},
  series={Konstanzer Schriften in Mathematik},
  title={Matrices Having a Positive Determinant and All Other Minors Nonpositive},
  number={410},
  author={Hassuneh, Imad and Adm, Mohammad and Garloff, Jürgen},
  note={Preprint submitted to Journal of Computational Algebra}
}

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    <dc:contributor>Garloff, Jürgen</dc:contributor>
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    <dc:creator>Garloff, Jürgen</dc:creator>
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    <dcterms:abstract>The 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.</dcterms:abstract>
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