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].
