Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices
- Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions, then all matrices from this interval are also totally nonnegative and satisfy the same conditions.
| Author: | Mohammad AdmORCiDGND, Khawla Al Muhtaseb, Ayed Abedel Ghani, Jürgen GarloffORCiDGND |
|---|---|
| DOI: | https://doi.org/10.13001/ela.2020.5015 |
| ISSN: | 1081-3810 |
| Parent Title (English): | Electronic Journal of Linear Algebra (ELA) |
| Volume: | Vol. 36 |
| Publisher: | International Linear Algebra Society (ILAS) |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2020 |
| Release Date: | 2021/01/10 |
| Tag: | Matrix interval; Checkerboard partial order; Totally nonnegative matrix; Descending rank conditions; Cauchon algorithm |
| First Page: | 106 |
| Last Page: | 123 |
| DDC functional group: | 500 Naturwissenschaften und Mathematik |
| Open Access?: | Ja |
| Relevance: | Wiss. Zeitschriftenartikel reviewed: Listung in Positivlisten |
