Article ID Journal Published Year Pages File Type
4602173 Linear Algebra and its Applications 2009 12 Pages PDF
Abstract

Bapat et al. previously described a class of nonnegative matrices dominated by a nonnegative idempotent matrix under the minus partial order. In this paper, we improve upon that description by first presenting a more general result that gives the precise structure of nonnegative matrices dominated by a group-monotone matrix under the minus partial order. As a special case we derive the complete class of nonnegative matrices dominated by a nonnegative idempotent matrix that includes the class obtained by Bapat et al.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory