On an extension of Fekete’s lemma
Czechoslovak Mathematical Journal (1999)
- Volume: 49, Issue: 1, page 63-66
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topChon, Inheung. "On an extension of Fekete’s lemma." Czechoslovak Mathematical Journal 49.1 (1999): 63-66. <http://eudml.org/doc/30465>.
@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 -
References
top- Lie group and control theory, Ph.D. Thesis, Louisiana State University, 1988. (1988)
- Ueber ein Problem von Laguerre, Rendiconti del Circolo Matematico di Palermo 34 (1912), 92–93. (1912)
- The Theory of Matrices vol. 1 and vol. 2, Chelsea Publ. Comp., New York, 1960. (1960) MR1657129
- Total Positivity vol. 1, Stanford University Press, 1968. (1968) MR0230102
- 10.1007/BF01187945, Math. Zeitschr. 63 (1955), 338–340. (1955) Zbl0068.25004MR0073657DOI10.1007/BF01187945
- Aufgaben and Lehrsätze aus der Analysis vol. 2, Springer-Velag, 1964. (1964)
- 10.1007/BF02786969, J. d’Analyse Math. Jerusalem 2 (1952), 88–92. (1952) Zbl0049.17104MR0053173DOI10.1007/BF02786969
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.