Zero-term ranks of real matrices and their preservers

Beasley, LeRoy B., Jun, Young Bae, and Song, Seok-Zun. "Zero-term ranks of real matrices and their preservers." Czechoslovak Mathematical Journal 54.1 (2004): 183-188. <http://eudml.org/doc/30848>.

@article{Beasley2004,
abstract = {Zero-term rank of a matrix is the minimum number of lines (rows or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve zero-term rank of the $m \times n$ real matrices. We also obtain combinatorial equivalent condition for the zero-term rank of a real matrix.},
author = {Beasley, LeRoy B., Jun, Young Bae, Song, Seok-Zun},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear operator; zero-term rank; $P,Q,B$-operator; linear operator; zero-term rank; -operator},
language = {eng},
number = {1},
pages = {183-188},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Zero-term ranks of real matrices and their preservers},
url = {http://eudml.org/doc/30848},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Beasley, LeRoy B.
AU - Jun, Young Bae
AU - Song, Seok-Zun
TI - Zero-term ranks of real matrices and their preservers
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 1
SP - 183
EP - 188
AB - Zero-term rank of a matrix is the minimum number of lines (rows or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve zero-term rank of the $m \times n$ real matrices. We also obtain combinatorial equivalent condition for the zero-term rank of a real matrix.
LA - eng
KW - linear operator; zero-term rank; $P,Q,B$-operator; linear operator; zero-term rank; -operator
UR - http://eudml.org/doc/30848
ER -