@article {
author = {Mohammadhasani, Ahmad and Dehghanian, Mehdi and Sayyari, Yamin},
title = {Row Stochastic Matrices and Linear Preservers of Matrix Majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$},
journal = {Mathematics Interdisciplinary Research},
volume = {8},
number = {4},
pages = {291-307},
year = {2023},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2023.248765.1390},
abstract = {A nonnegative square and real matrix $R$ is a row stochastic matrix if the sum of the entries of each row is equal to one. Let $x$, $y \in \mathbb{R}_{n}$. The vector $x$ is said to be matrix majorized by $y$ and denoted by $ x\prec_{r} y$ if $x=yR$ for some row stochastic matrix $R$. In the present paper, we characterize the linear preservers of matrix majorization $T:\mathbb{R}_{m} \rightarrow \mathbb{R}_{n}$.},
keywords = {Linear preserver,Matrix majorization,$m$-{R}ow stochastic matrix},
url = {https://mir.kashanu.ac.ir/article_114042.html},
eprint = {https://mir.kashanu.ac.ir/article_114042_b0a6afce8c9f60b40b9a1cce423b8e9c.pdf}
}