Ahmad Mohammadhasani - Department of Mathematics, Sirjan University of technology, Sirjan, Iran
Asma Ilkhanizadeh Manesh - Vali-e-Asr University of Rafsanjan

Miranda-Thompson majorization is a group-induced cone ordering on \mathbb{R}^{n} induced by the group of generalized permutation with determinants equal to ۱. 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}.

Group-induced cone ordering, Linear preserver, Miranda-Thompson majorization