TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Adm, Mohammad
A1  - Garloff, Jürgen
T1  - Characterization, perturbation, and interval property of certain sign regular matrices
JF  - Linear Algebra and its Applications
N2  - The class of square matrices of order n having a negative determinant and all their minors up to order n-1 nonnegative is considered. A characterization of these matrices is presented which provides an easy test based on the Cauchon algorithm for their recognition. Furthermore, the maximum allowable perturbation of the entry in position (2,2) such that the perturbed matrix remains in this class is given. Finally, it is shown that all matrices lying between two matrices of this class with  respect to the checkerboard ordering are contained in this class, too.
KW  - Sign regular matrix
KW  - Totally nonnegative matrix
KW  - Interval property
KW  - Checkerboard ordering
KW  - Cauchon algorithm
Y1  - 2021
UN  - https://nbn-resolving.org/urn:nbn:de:bsz:kon4-opus4-29500
SN  - 0024-3795
SS  - 0024-3795
SN  - 1873-1856
SS  - 1873-1856
U6  - https://doi.org/10.1016/j.laa.2020.12.007
DO  - https://doi.org/10.1016/j.laa.2020.12.007
VL  - 612
SP  - 146
EP  - 161
PB  - Elsevier
ER  -