Matrices having a positive determinant and all other minors nonpositive

Hassuneh, Imad; Adm, Mohammad; Garloff, Jürgen

dc.contributor.author	Hassuneh, Imad
dc.contributor.author	Adm, Mohammad
dc.contributor.author	Garloff, Jürgen
dc.date.accessioned	2025-05-22T15:11:16Z
dc.date.available	2025-05-22T15:11:16Z
dc.date.issued	2025-02-27
dc.identifier.uri	scholar.ppu.edu/handle/123456789/9228
dc.description.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. For both results, we require that the entry in the bottom-right position is negative.	en_US
dc.description.sponsorship	This study is supported by the Open Access Publication Fund of the HTWG Hochschule Konstanz – University of Applied Sciences and by the SRP program of its Institute for Applied Research.	en_US
dc.language.iso	en	en_US
dc.publisher	Special Matrices Journal	en_US
dc.subject	Sign regular matrix	en_US
dc.subject	Totally nonnegative matrix	en_US
dc.subject	Totally nonpositive matrix	en_US
dc.subject	Interval property	en_US
dc.subject	Checkerboard ordering	en_US
dc.subject	Cauchon algorithm	en_US
dc.title	Matrices having a positive determinant and all other minors nonpositive	en_US
dc.type	Article	en_US