RELAXING THE NONSINGULARITY ASSUMPTION FOR INTERVALS OF TOTALLY NONNEGATIVE MATRICES
| dc.contributor.author | ADM, MOHAMMAD | |
| dc.contributor.author | ALMUHTASEB, KHAWLA | |
| dc.contributor.author | Abedel Ghani, Ayed | |
| dc.contributor.author | Garloff, Jürgen | |
| dc.date.accessioned | 2022-01-18T11:14:23Z | |
| dc.date.accessioned | 2022-05-22T08:55:54Z | |
| dc.date.available | 2022-01-18T11:14:23Z | |
| dc.date.available | 2022-05-22T08:55:54Z | |
| dc.date.issued | 2020-02-01 | |
| dc.description.abstract | Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and 6 matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the 7 two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions, 8 then all matrices from this interval are totally nonnegative and satisfy these conditions, too, hereby 9 relaxing the nonsingularity condition in a former paper [M. Adm, J. Garloff, Intervals of totally 10 nonnegative matrices, Linear Algebra Appl. 439 (2013), pp.3796-3806]. | en_US |
| dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/8412 | |
| dc.language.iso | en | en_US |
| dc.publisher | Konstanzer Schriften in Mathematik | en_US |
| dc.subject | Matrix interval, Checkerboard partial order, Totally nonnegative matrix, Cauchon 12 matrix, Cauchon Algorithm, Descending rank conditions. | en_US |
| dc.title | RELAXING THE NONSINGULARITY ASSUMPTION FOR INTERVALS OF TOTALLY NONNEGATIVE MATRICES | en_US |
| dc.type | Article | en_US |