Characterization, perturbation, and interval property of certain sign regular matrices

Adm, Mohammad; Garloff, Jürgen

dc.contributor.author	Adm, Mohammad
dc.contributor.author	Garloff, Jürgen
dc.date.accessioned	2021-04-20T11:03:44Z
dc.date.accessioned	2022-05-22T08:54:23Z
dc.date.available	2021-04-20T11:03:44Z
dc.date.available	2022-05-22T08:54:23Z
dc.date.issued	2021-03-01
dc.identifier.issn	0024-3795.
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/8272
dc.description.abstract	The class of square matrices of order n having a negative determinant and all their minors up to order n-1 nonnegative is considered. A characterization of these matrices is presented which provides an easy test based on the Cauchon algorithm for their recognition. Furthermore, the maximum allowable perturbation of the entry in position (2, 2) such that the perturbed matrix remains in this class is given. Finally, 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.	en_US
dc.language.iso	en	en_US
dc.publisher	Linear Algebra and its Applications Journal	en_US
dc.subject	Sign regular matrix	en_US
dc.subject	Totally nonnegative matrix	en_US
dc.subject	Interval property	en_US
dc.subject	Checkerboard ordering	en_US
dc.subject	Cauchon algorithm	en_US
dc.title	Characterization, perturbation, and interval property of certain sign regular matrices	en_US
dc.type	Article	en_US