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 Adm, Khawla Al Muhtaseb, Ayed Abedel Ghani, Jürgen Garloff |
|---|---|
| DOI: | https://doi.org/10.13001/ela.2020.5015 |
| ISSN: | 1081-3810 |
| Parent Title (English): | Electronic Journal of Linear Algebra (ELA) |
| Volume: | Vol. 36 |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2020 |
| Release Date: | 2021/01/10 |
| Tag: | Cauchon algorithm; Checkerboard partial order; Descending rank conditions; Matrix interval; Totally nonnegative matrix |
| First Page: | 106 |
| Last Page: | 123 |
| DDC functional group: | 500 Naturwissenschaften und Mathematik |
| Open Access?: | Ja |
| Relevance: | Peer reviewed Publikation in Master Journal List |
