Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices
- A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper, the minors are determined from which the maximum allowable entry perturbation of a totally nonnegative matrix can be found, such that the perturbed matrix remains totally nonnegative. Also, the total nonnegativity of the first and second subdirect sum of two totally nonnegative matrices is considered.
| Author: | Mohammad AdmORCiDGND, Jürgen GarloffORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1016/j.laa.2016.11.001 |
| ISSN: | 0024-3795 |
| eISSN: | 1873-1856 |
| Parent Title (English): | Linear Algebra and its Applications |
| Volume: | 2017 |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2017 |
| Release Date: | 2019/05/17 |
| Tag: | Totally nonnegative matrix; Entry-wise perturbation; K-subdirect sum |
| Issue: | 514 |
| First Page: | 222 |
| Last Page: | 233 |
| Note: | Volltextzugriff für Angehörige der Hochschule Konstanz möglich. |
| Relevance: | Wiss. Zeitschriftenartikel reviewed: Listung in Positivlisten |
| Open Access?: | Nein |
| Licence (German): |  Urheberrechtlich geschützt |
