On an extension of Fekete’s lemma

@article{Chon1999,
abstract = {We show that if a real $n \times n$ non-singular matrix ($n \ge m$) has all its minors of order $m-1$ non-negative and has all its minors of order $m$ which come from consecutive rows non-negative, then all $m$th order minors are non-negative, which may be considered an extension of Fekete’s lemma.},
author = {Chon, Inheung},
journal = {Czechoslovak Mathematical Journal},
keywords = {non-negative minors; non-singular matrix; Fekete's lemma},
language = {eng},
number = {1},
pages = {63-66},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On an extension of Fekete’s lemma},
url = {http://eudml.org/doc/30465},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Chon, Inheung
TI - On an extension of Fekete’s lemma
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 63
EP - 66
AB - We show that if a real $n \times n$ non-singular matrix ($n \ge m$) has all its minors of order $m-1$ non-negative and has all its minors of order $m$ which come from consecutive rows non-negative, then all $m$th order minors are non-negative, which may be considered an extension of Fekete’s lemma.
LA - eng
KW - non-negative minors; non-singular matrix; Fekete's lemma
UR - http://eudml.org/doc/30465
ER -