@article {
author = {Mohammadhasani, Ahmad and Ilkhanizadeh Manesh, Asma},
title = {Linear preservers of Miranda-Thompson majorization on MM;N},
journal = {Wavelet and Linear Algebra},
volume = {4},
number = {2},
pages = {25-32},
year = {2017},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.61736.1113},
abstract = {Miranda-Thompson majorization is a group-induced cone ordering on $\mathbb{R}^{n}$ induced by the group of generalized permutation with determinants equal to 1. In this paper, we generalize Miranda-Thompson majorization on the matrices. For $X$, $Y\in M_{m,n}$, $X$ is said to be Miranda-Thompson majorized by $Y$ (denoted by $X\prec_{mt}Y$) if there exists some $D\in \rm{Conv(G)}$ such that $X=DY$. Also, we characterize linear preservers of this concept on $M_{m,n}$.},
keywords = {Group-induced cone ordering,Linear preserver,Miranda-Thompson majorization},
url = {http://wala.vru.ac.ir/article_29392.html},
eprint = {http://wala.vru.ac.ir/article_29392_451002d1ba46987bb96f23d9a78e8e6a.pdf}
}