TY - JOUR
A1 - Adm, Mohammad
A1 - Garloff, Jürgen
T1 - Total nonnegativity of the extended Perron complement
JF - Linear Algebra and its Applications
N2 - A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper the extended Perron complement of a principal submatrix in a matrix A is investigated. In extension of known results it is shown that if A is irreducible and totally nonnegative and the principal submatrix consists of some specified consecutive rows then the extended Perron complement is totally nonnegative. Also inequalities between minors of the extended Perron complement and the Schur complement are presented.
KW - Totally nonnegative matrix
KW - Perron complement
KW - Extended Perron complement
KW - Schur complement
Y1 - 2016
UR - http://nbn-resolving.de/urn:nbn:de:bsz:352-0-386980
U6 - http://dx.doi.org/10.1016/j.laa.2016.07.002
SN - 0024-3795
SN - 1873-1856
IS - 508
SP - 214
EP - 224
ER -