@article {
author = {Armandnejad, A. and Mohammadi, Z. and Akbarzadeh, F.},
title = {Linear preservers of g-row and g-column majorization on
M_{n,m}},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {5},
pages = {865-880},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn,m preserving (or strongly preserving) g-row or g-column majorization will be characterized.},
keywords = {Linear preserver,g-row stochastic matrices,rgw-majorization,lgw-majorization},
url = {http://bims.iranjournals.ir/article_448.html},
eprint = {http://bims.iranjournals.ir/article_448_1a08baec65b24a4816d12f8601a75dd7.pdf}
}