On semigroups of matrices with nonnegative diagonals
Functional Analysis
2013-03-21 v1
Abstract
We give a short proof of a recent result by Bernik, Mastnak, and Radjavi, stating that an irreducible group of complex matrices with nonnegative diagonal entries is diagonally similar to a group of nonnegative monomial matrices. We also explore the problem when an irreducible matrix semigroup in which each member is diagonally similar to a nonnegative matrix is diagonally similar to a semigroup of nonnegative matrices.
Keywords
Cite
@article{arxiv.1209.3882,
title = {On semigroups of matrices with nonnegative diagonals},
author = {Grega Cigler and Roman Drnovšek},
journal= {arXiv preprint arXiv:1209.3882},
year = {2013}
}
Comments
The paper will appear in Linear Algebra and its Applications