%0 Journal Article
%T Linear preservers of Miranda-Thompson majorization on MM;N
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Mohammadhasani, Ahmad
%A Ilkhanizadeh Manesh, Asma
%D 2017
%\ 12/01/2017
%V 4
%N 2
%P 25-32
%! Linear preservers of Miranda-Thompson majorization on MM;N
%K Group-induced cone ordering
%K Linear preserver
%K Miranda-Thompson majorization
%R 10.22072/wala.2017.61736.1113
%X 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 $M_{m,n}$.
%U http://wala.vru.ac.ir/article_29392_451002d1ba46987bb96f23d9a78e8e6a.pdf