Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201Linear preservers of Miranda-Thompson majorization on MM;N25322939210.22072/wala.2017.61736.1113ENAhmadMohammadhasaniDepartment of Mathematics, Sirjan University of technology, Sirjan, IranAsmaIlkhanizadeh ManeshVali-e-Asr University of RafsanjanJournal Article20170409Miranda-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 $X$, $Y\in <strong>M</strong>_{m,n}$, $X$ 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 $<strong>M</strong>_{m,n}$.http://wala.vru.ac.ir/article_29392_451002d1ba46987bb96f23d9a78e8e6a.pdf