Characterization, perturbation, and interval property of certain sign regular matrices
- 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.
Author: | Mohammad AdmORCiDGND, Jürgen GarloffORCiDGND |
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URN: | urn:nbn:de:bsz:kon4-opus4-29500 |
DOI: | https://doi.org/10.1016/j.laa.2020.12.007 |
ISSN: | 0024-3795 |
ISSN: | 1873-1856 |
Parent Title (English): | Linear Algebra and its Applications |
Volume: | 612 |
Publisher: | Elsevier |
Document Type: | Article |
Language: | English |
Year of Publication: | 2021 |
Release Date: | 2022/01/08 |
Tag: | Sign regular matrix; Totally nonnegative matrix; Interval property; Checkerboard ordering; Cauchon algorithm |
First Page: | 146 |
Last Page: | 161 |
Institutes: | Institut für Angewandte Forschung - IAF |
DDC functional group: | 500 Naturwissenschaften und Mathematik |
Relevance: | Peer reviewed Publikation in Master Journal List |
Open Access?: | Nein |
Licence (German): | Urheberrechtlich geschützt |