| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599837 | Linear Algebra and its Applications | 2013 | 11 Pages |
Abstract
Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard ordering are considered. It is proven that if the two bound matrices of such a matrix interval are nonsingular and totally nonnegative (and in addition all their zero minors are identical) then all matrices from this interval are also nonsingular and totally nonnegative (with identical zero minors).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mohammad Adm, Jürgen Garloff,