TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Adm, Mohammad
A1  - Al Muhtaseb, Khawla
A1  - Ghani, Ayed Abedel
A1  - Garloff, Jürgen
T1  - Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices
JF  - Electronic Journal of Linear Algebra (ELA)
N2  - Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions, then all matrices from this interval are also totally nonnegative and satisfy the same conditions.
KW  - Matrix interval
KW  - Checkerboard partial order
KW  - Totally nonnegative matrix
KW  - Descending rank conditions
KW  - Cauchon algorithm
Y1  - 2020
SN  - 1081-3810
SS  - 1081-3810
U6  - https://doi.org/10.13001/ela.2020.5015
DO  - https://doi.org/10.13001/ela.2020.5015
VL  - Vol. 36
SP  - 106
EP  - 123
ER  -