Linear preservers of rc-majorization on matrices
Czechoslovak Mathematical Journal (2024)
- Volume: 74, Issue: 4, page 1275-1288
- ISSN: 0011-4642
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topSoleymani, Mohammad. "Linear preservers of rc-majorization on matrices." Czechoslovak Mathematical Journal 74.4 (2024): 1275-1288. <http://eudml.org/doc/299660>.
@article{Soleymani2024,
abstract = {Let $A$, $B$ be $n \times m$ matrices. The concept of matrix majorization means the $j$th column of $A$ is majorized by the $j$th column of $B$ and this is done for all $j$ by a doubly stochastic matrix $D$. We define rc-majorization that extended matrix majorization to columns and rows of matrices. Also, the linear preservers of rc-majorization will be characterized.},
author = {Soleymani, Mohammad},
journal = {Czechoslovak Mathematical Journal},
keywords = {matrix majorization; linear preserver; permutation},
language = {eng},
number = {4},
pages = {1275-1288},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Linear preservers of rc-majorization on matrices},
url = {http://eudml.org/doc/299660},
volume = {74},
year = {2024},
}
TY - JOUR
AU - Soleymani, Mohammad
TI - Linear preservers of rc-majorization on matrices
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 4
SP - 1275
EP - 1288
AB - Let $A$, $B$ be $n \times m$ matrices. The concept of matrix majorization means the $j$th column of $A$ is majorized by the $j$th column of $B$ and this is done for all $j$ by a doubly stochastic matrix $D$. We define rc-majorization that extended matrix majorization to columns and rows of matrices. Also, the linear preservers of rc-majorization will be characterized.
LA - eng
KW - matrix majorization; linear preserver; permutation
UR - http://eudml.org/doc/299660
ER -
References
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- Horn, R. A., Johnson, C. R., 10.1017/CBO9780511840371, Cambridge University Press, Cambridge (1994). (1994) Zbl0801.15001MR1288752DOI10.1017/CBO9780511840371
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