TY - JOUR
ID - 22228
TI - Latin-majorization and its linear preservers
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Hadian Nadoshan, Mohammad Ali
AU - Afshin, Hamid Reza
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.
Y1 - 2017
PY - 2017
VL - 05
IS - 1
SP - 41
EP - 47
KW - Doubly stochastic matrix
KW - Latin-majorization
KW - Latin square
KW - Linear preserver
DO - 10.22130/scma.2017.22228
N2 - 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 ${M_{n,m}}$.
UR - http://scma.maragheh.ac.ir/article_22228.html
L1 - http://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf
ER -