Article ID Journal Published Year Pages File Type
4601363 Linear Algebra and its Applications 2010 8 Pages PDF
Abstract

If S is an irreducible semigroup of complex matrices and if every member of S has nonnegative diagonal entries, then is S simultaneously similar to a semigroup of nonnegative matrices? Partial affirmative answers to this and its infinite-dimensional analogue are given and several counterexamples presented.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory