Matrices having a positive determinant and all other minors nonpositive

The class of square matrices of order nn having a positive determinant and all their minors up to order n−1n-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...

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Bibliographic Details
Main Authors: Hassuneh Imad, Adm Mohammad, Garloff Jürgen
Format: Article
Language:English
Published: De Gruyter 2025-02-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2024-0031