Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices
| dc.contributor.author | Adm, Mohammad | |
| dc.contributor.author | Garloff, Jürgen | |
| dc.date.accessioned | 2021-04-20T11:03:55Z | |
| dc.date.accessioned | 2022-05-22T08:55:27Z | |
| dc.date.available | 2021-04-20T11:03:55Z | |
| dc.date.available | 2022-05-22T08:55:27Z | |
| dc.date.issued | 2017-02-01 | |
| dc.description.abstract | 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. | en_US |
| dc.description.sponsorship | The first author gratefully acknowledges support by the Zukunftskolleg/Universität Konstanz. | en_US |
| dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/8344 | |
| dc.language.iso | en | en_US |
| dc.publisher | Linear Algebra and its Applications Journal | en_US |
| dc.subject | Totally nonnegative matrix | en_US |
| dc.subject | Entry-wise perturbation | en_US |
| dc.subject | k-subdirect sum | en_US |
| dc.title | Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices | en_US |
| dc.type | Article | en_US |