%0 Journal Article
%T Latin-majorization and its linear preservers
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Hadian Nadoshan, Mohammad Ali
%A Afshin, Hamid Reza
%D 2017
%\ 01/01/2017
%V 05
%N 1
%P 41-47
%! Latin-majorization and its linear preservers
%K Doubly stochastic matrix
%K Latin-majorization
%K Latin square
%K Linear preserver
%R 10.22130/scma.2017.22228
%X In this paper we study the concept of Latin-majorizati-\on. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all $x$s Latin-majorized by a fixed $y$ is not convex, but, consists of union of finitely many convex sets. Next, we hint to linear preservers of Latin-majorization on $ mathbb{R}^{n}$ and ${M_{n,m}}$.
%U https://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf