G-tridiagonal majorization on
Ahmad Mohammadhasani; Yamin Sayyari; Mahdi Sabzvari
Communications in Mathematics (2021)
- Volume: 29, Issue: 3, page 395-405
- ISSN: 1804-1388
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topMohammadhasani, Ahmad, Sayyari, Yamin, and Sabzvari, Mahdi. "G-tridiagonal majorization on $\textbf {M}_{n,m}$." Communications in Mathematics 29.3 (2021): 395-405. <http://eudml.org/doc/297478>.
@article{Mohammadhasani2021,
abstract = {For $X,Y\in \textbf \{M\}_\{n,m\}$, it is said that $X$ is g-tridiagonal majorized by $Y$ (and it is denoted by $X\prec _\{gt\}Y$) if there exists a tridiagonal g-doubly stochastic matrix $A$ such that $X=AY$. In this paper, the linear preservers and strong linear preservers of $\prec _\{gt\}$ are characterized on $\textbf \{M\}_\{n,m\}$.},
author = {Mohammadhasani, Ahmad, Sayyari, Yamin, Sabzvari, Mahdi},
journal = {Communications in Mathematics},
keywords = {G-doubly stochastic matrix; gt-majorization; (strong) linear preserver; tridiagonal matrices},
language = {eng},
number = {3},
pages = {395-405},
publisher = {University of Ostrava},
title = {G-tridiagonal majorization on $\textbf \{M\}_\{n,m\}$},
url = {http://eudml.org/doc/297478},
volume = {29},
year = {2021},
}
TY - JOUR
AU - Mohammadhasani, Ahmad
AU - Sayyari, Yamin
AU - Sabzvari, Mahdi
TI - G-tridiagonal majorization on $\textbf {M}_{n,m}$
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
VL - 29
IS - 3
SP - 395
EP - 405
AB - For $X,Y\in \textbf {M}_{n,m}$, it is said that $X$ is g-tridiagonal majorized by $Y$ (and it is denoted by $X\prec _{gt}Y$) if there exists a tridiagonal g-doubly stochastic matrix $A$ such that $X=AY$. In this paper, the linear preservers and strong linear preservers of $\prec _{gt}$ are characterized on $\textbf {M}_{n,m}$.
LA - eng
KW - G-doubly stochastic matrix; gt-majorization; (strong) linear preserver; tridiagonal matrices
UR - http://eudml.org/doc/297478
ER -
References
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