Article ID Journal Published Year Pages File Type
6416775 Linear Algebra and its Applications 2013 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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